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{{Short description|Calendar introduced by Julius Caesar}}
{{calendars}}The '''Julian calendar''' was a reform of the [[Roman calendar]] which was introduced by [[Julius Caesar]] in [[46 BC]] and came into force in [[45 BC]] (709 ''[[ab urbe condita]]''). It was chosen after consultation with the astronomer [[Sosigenes of Alexandria]] and was probably designed to approximate the [[tropical year]], known at least since [[Hipparchus]]. It has a regular year of 365 [[day]]s divided into 12 [[month]]s, and a [[leap day]] is added to [[February]] every four years. Hence the Julian year is on average 365.25 days long.
{{About|a calendar used for civil and liturgical purposes|the day-number calendar used for astronomical and historical calculations|Julian day|day of year|Ordinal date|the terms 'Julian date' and 'Julian Period'|Julian day}}
{{Pp-vandalism|small=yes}}
{| {{Table|class=floatright}}
! Calendar !! Today
|-
! Gregorian
| {{#time:j F Y|{{JULIANDAY.TIMESTAMP|{{JULIANDAY|{{CURRENTYEAR}}|{{CURRENTMONTH}}|{{CURRENTDAY}}}}}}}}
|-
! Julian
| {{JULIANCALENDAR}}
|}

The '''Julian calendar''' is a [[solar calendar]] of 365 days in every year with an additional [[leap day]] every fourth year (without exception). The Julian calendar is still used as a religious calendar in parts of the [[Eastern Orthodox Church]] and in parts of [[Oriental Orthodox Churches|Oriental Orthodoxy]] as well as by the [[Amazigh|Amazigh people]] (also known as the Berbers).<ref>{{Cite web |url=https://www.dailysabah.com/africa/2018/01/12/berbers-mark-new-year-in-algeria-welcoming-2968 |title=Berbers mark New Year in Algeria, welcoming 2968 |website=[[Daily Sabah]] |date=12 January 2018 |access-date=25 June 2019 |quote=The Berber calendar is an agrarian system, based around the seasons and agricultural work, that was inspired by the Julian calendar.}}</ref>

The Julian calendar was proposed in 46&nbsp;BC by (and takes its name from) [[Julius Caesar]], as a reform of the earlier [[Roman calendar]], which was largely a [[lunisolar calendar|lunisolar]] one.{{sfn|Richards|2013|p = 595}} It took effect on {{nowrap|1 January 45 BC}}, by his [[edict]]. Caesar's calendar became the predominant calendar in the [[Roman Empire]] and subsequently most of the [[Western world]] for more than 1,600 years, until 1582 when [[Pope Gregory XIII]] promulgated a revised calendar.

The Julian calendar has two types of years: a normal year of 365 days and a leap year of 366 days. They follow a simple cycle of three normal years and one leap year, giving an average year that is 365.25 days long. That is more than the actual solar year value of approximately 365.2422 days (the current value, which varies), which means the Julian calendar gains one&nbsp;day every 129&nbsp;years. In other words, the Julian calendar gains 3.1 days every 400 years.

[[Gregorian calendar#Gregorian reform|Gregory's calendar reform]] modified the Julian rule, to reduce the average length of the calendar year from 365.25 days to 365.2425 days and thus corrected the Julian calendar's drift against the [[Tropical year|solar year]]: the Gregorian calendar gains just 0.1 day over 400 years. For any given event during the years from 1901 through 2099, its date according to the Julian calendar is 13 days behind its corresponding Gregorian date (for instance Julian 1 January falls on Gregorian 14 January). Most [[Catholicism|Catholic]] countries adopted the new calendar immediately; [[Protestantism|Protestant]] countries [[adoption of the Gregorian calendar|did so]] slowly in the course of the following two centuries or so; most Orthodox countries retain the Julian calendar for religious purposes but adopted the Gregorian as their [[civil calendar]] in the early part of the twentieth century.

==Table of months==
{| class="wikitable"
|-
! Months (Roman) || Lengths before 46&nbsp;BC || Length in 46&nbsp;BC || Lengths as of 45&nbsp;BC || Months (English)
|-
|[[Ianuarius]]<ref name="J">The letter [[J]] was not invented until the 16th century.</ref>|| 29 || 29 || 31 ||January
|-
|[[Februarius]]|| 28 (in common years)<br />In [[Leap year|intercalary years]]:<br />23 if Intercalaris is variable<br />23–24 if Intercalaris is fixed || 28 || 28 (leap years: 29) ||February
|-
|[[Intercalaris]] (Mercedonius)<br> (only in intercalary years)|| 27 (or possibly 27–28) || 23 || — || —
|-
|[[Martius (month)|Martius]] || 31 || 31 || 31 ||March
|-
|[[Aprilis]] || 29 || 29 || 30 ||April
|-
|[[Maius]] || 31 || 31 || 31 ||May
|-
|[[Iunius (month)|Iunius]]<ref name="J" /> || 29 || 29 || 30 ||June
|-
|[[Quintilis]]<ref>The spelling ''Quinctilis'' is also attested; see page 669 of ''The Oxford Companion to the Year''.</ref> (Iulius) || 31 || 31 || 31 ||July
|-
|[[Sextilis]] (Augustus) || 29 || 29 || 31 ||August
|-
|[[September (Roman month)|September]] || 29 || 29 || 30 ||September
|-
|[[October (Roman month)|October]] || 31 || 31 || 31 ||October
|-
| 2nd intercalary || — || 33 || — || —
|-
| 3rd intercalary || — || 34 || — || —
|-
|[[November (Roman month)|November]] || 29 || 29 || 30 ||November
|-
|[[December (Roman month)|December]] || 29 || 29 || 31 ||December
|-
|'''Total'''|| 355 or 377–378 || 445 || 365–366 ||| 365–366
|}

=={{anchor|Motivation}}History==
===Motivation===
The ordinary year in the previous Roman calendar consisted of 12 months, for a total of 355 days. In addition, a 27- or 28-day [[intercalary month]], the [[Mercedonius|Mensis Intercalaris]], was sometimes inserted between February and March. This intercalary month was formed by inserting 22 or 23 days after the first 23 days of February; the last five days of February, which counted down toward the start of March, became the last five days of Intercalaris. The net effect was to add 22 or 23 days to the year, forming an intercalary year of 377 or 378 days.<ref>T H Key, "A Dictionary of Greek and Roman Antiquities" (article ''Calendarium''), London, 1875, available at [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/secondary/SMIGRA*/Calendarium.html].</ref> Some say the ''mensis intercalaris'' always had 27 days and began on either the first or the second day after the Terminalia (23 February).<ref>Blackburn, B & Holford-Strevens, L ''The Oxford Companion to the Year'', Oxford University Press, 1999, reprinted with corrections, 2003, pp. 669–70.</ref>

If managed correctly this system could have allowed the Roman year to stay roughly aligned to a [[tropical year]]. However, since the [[Pontiff|pontifices]] were often politicians, and because a Roman magistrate's term of [[official|office]] corresponded with a calendar year, this power was prone to abuse: a pontifex could lengthen a year in which he or one of his political allies was in office, or refuse to lengthen one in which his opponents were in power.<ref>Censorinus, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Censorinus/text*.html#20.7 ''De die natali'' 20.7] {{In lang|la}} Latin)</ref>

Caesar's reform was intended to solve this problem permanently, by creating a calendar that remained aligned to the sun without any human intervention. This proved useful very soon after the new calendar came into effect. [[Varro]] used it in 37&nbsp;BC to fix calendar dates for the start of the four seasons, which would have been impossible only 8 years earlier.<ref name="Varro">Varro, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Varro/de_Re_Rustica/1*.html#28 ''On Agriculture'' I.1.28.]</ref> A century later, when [[Pliny the Elder|Pliny]] dated the [[winter solstice]] to 25 December because the sun entered the 8th degree of Capricorn on that date,<ref>Pliny, ''Natural History:'' [https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.02.0137%3Abook%3D18%3Achapter%3D59 ''(Book 18, LIX / LXVI / LXVIII / LXXIV)''.]</ref> this stability had become an ordinary fact of life.

=== Context of the reform ===
Although the approximation of {{frac|365|1|4}} days for the tropical year had been known for a long time,<ref>{{cite journal|first=R. A.|last=Parker|title=Ancient Egyptian Astronomy|journal=Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences|volume=276|issue=1257|date=May 1974|pages=51–65|jstor=74274}}</ref> ancient [[solar calendar]]s had used less precise periods, resulting in gradual misalignment of the calendar with the seasons.

The [[octaeteris]], a cycle of eight [[Lunar calendar|lunar years]] popularised by [[Cleostratus]] (and also commonly attributed to [[Eudoxus of Cnidus|Eudoxus]]) which was used in some early Greek calendars, notably in [[Attic calendar|Athens]], is 1.53 days longer than eight [[Julian year (astronomy)|mean Julian years]]. The length of nineteen years in the [[Metonic cycle|cycle of Meton]] was 6,940 days, six hours longer than the mean Julian year. The mean Julian year was the basis of the [[Callippic cycle|76-year cycle]] devised by [[Callippus]] (a student under Eudoxus) to improve the Metonic cycle.

In Persia (Iran) after the reform in the [[Iranian calendars#Old Persian calendar|Persian calendar]] by introduction of the Persian Zoroastrian (i. e. Young Avestan) calendar in 503&nbsp;BC and afterwards, the first day of the year (1 Farvardin=[[Nowruz]]) slipped against the [[March equinox|vernal equinox]] at the rate of approximately one day every four years.<ref>Hartner, Willy. "The young Avestan and Babylonian calendars and the antecedents of precession." Journal for the History of Astronomy 10 (1979): 1. pp.&nbsp;1–22. [[doi:10.1177/002182867901000102]]</ref><ref>Stern, Sacha. ''Calendars in antiquity: Empires, states, and societies''. Oxford University Press, 2012., p. 178.</ref>


Likewise in the [[Egyptian calendar]], a fixed year of 365 days was in use, drifting by one day against the sun in four years. An unsuccessful attempt to add an extra day every fourth year was made in 238&nbsp;BC ([[Decree of Canopus]]). Caesar probably experienced this "wandering" or "vague" calendar in that country. He landed in the Nile delta in October 48&nbsp;BC and soon became embroiled in the Ptolemaic dynastic war, especially after [[Cleopatra VII|Cleopatra]] managed to be "introduced" to him in [[Alexandria]].
The Julian calendar remained in use into the [[20th century]] in some countries as a national calendar, but it has generally been replaced by the modern [[Gregorian calendar]]. It is still used by the [[Berber people]] of [[North Africa]] and by many national [[Eastern Orthodox Church|Orthodox]] churches. Orthodox Churches no longer using the Julian calendar typically use the [[Revised Julian calendar]] rather than the Gregorian calendar.


Caesar imposed a peace, and a banquet was held to celebrate the event.<ref name="Book 10">Lucan, ''[[Pharsalia]]:'' [http://mcllibrary.org/Pharsalia/book10.html ''Book 10''.]</ref> [[Lucan]] depicted Caesar talking to a wise man called [[Acoreus]] during the feast, stating his intention to create a calendar more perfect than that of Eudoxus<ref name="Book 10" /> (Eudoxus was popularly credited with having determined the length of the year to be {{frac|365|1|4}} days).<ref>Émile Biémont, ''Rythmes du temps, astronomie et calendriers'', éd. De Boeck (Bruxelles), 2000 ({{ISBN|2-8041-3287-0}}), p. 224.</ref> But the war soon resumed and Caesar was attacked by the Egyptian army for several months until he achieved victory. He then enjoyed a long cruise on the Nile with Cleopatra before leaving the country in June 47&nbsp;BC.<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#52 ''Caesar'' 52.1.] {{Webarchive|url=https://archive.today/20120530163202/http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#52 |date=2012-05-30 }}</ref>
The notation [[Old Style and New Style dates|"Old Style" (OS)]] is sometimes used to indicate a date in the Julian calendar, as opposed to [[Old Style and New Style dates|"New Style" (NS)]], which either represents the Julian date with the start of the year as [[1 January]] or a full mapping onto the [[Gregorian calendar]].


Caesar returned to Rome in 46&nbsp;BC and, according to [[Plutarch]], called in the best philosophers and mathematicians of his time to solve the problem of the calendar.<ref>Plutarch, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Plutarch/Lives/Caesar*.html#59 ''Lives of the Noble Grecians and Romans'': Caesar 59].</ref> Pliny says that Caesar was aided in his reform by the astronomer [[Sosigenes of Alexandria]]<ref>Pliny, ''Natural History:'' [https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.02.0137%3Abook%3D18%3Achapter%3D57 ''(Book 18, LVII)''.]</ref> who is generally considered the principal designer of the reform. Sosigenes may also have been the author of the astronomical almanac published by Caesar to facilitate the reform.<ref>Encyclopædia Britannica [https://www.britannica.com/EBchecked/topic/555018/Sosigenes-of-Alexandria Sosigenes of Alexandria].</ref> Eventually, it was decided to establish a calendar that would be a combination between the old Roman months, the fixed length of the Egyptian calendar, and the {{frac|365|1|4}} days of Greek astronomy. According to Macrobius, Caesar was assisted in this by a certain Marcus Flavius.<ref>Macrobius, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#14.2 ''Saturnalia'' I.14.2] (Latin).</ref>
==Motivation==
The ordinary year in the previous [[Roman calendar]] consisted of 12 months, for a total of 355 days. In addition, a 27-day intercalary month, the [[Mercedonius|Mensis Intercalaris]], was sometimes inserted between February and March. This intercalary month was formed by inserting 22 days after the first 23 or 24 days of February, the last five days of February becoming the last five days of Intercalaris. The net effect was to add 22 or 23 days to the year, forming an intercalary year of 377 or 378 days.


=== Adoption of the Julian calendar ===
According to the later writers [[Censorinus]] and Macrobius, the ideal intercalary cycle consisted of ordinary years of 355 days alternating with intercalary years, alternately 377 and 378 days long. On this system, the average Roman year would have had 366¼ days over four years, giving it an average drift of one day per year relative to any solstice or equinox. [[Macrobius]] describes a further refinement wherein, for 8 years out of 24, there were only three intercalary years, each of 377 days. This refinement averages the length of the year to 365¼ days over 24 years. In practice, intercalations did not occur schematically according to these ideal systems, but were determined by the [[pontifex|pontifices]]. So far as can be determined from the historical evidence, they were much less regular than these ideal schemes suggest. They usually occurred every second or third year, but were sometimes omitted for much longer, and occasionally occurred in two consecutive years.
{{more citations needed section|date=December 2013}}
Caesar's reform only applied to the [[Roman calendar]]. However, in the following decades many of the local civic and provincial calendars of the empire and neighbouring client kingdoms were aligned to the Julian calendar by transforming them into calendars with years of 365 days with an extra day [[intercalation (timekeeping)|intercalated]] every four years.<ref>This section is based on S. Stern, ''Calendars in Antiquity'' (OUP 2012) pp. 259–297.</ref><ref>{{Cite book|url=https://books.google.com/books?id=tiMZAI4oS-MC|title=Calendars in Antiquity: Empires, States, and Societies|last=Stern|first=Sacha|date=2012|publisher=OUP Oxford|isbn=978-0-19-958944-9|pages=259–297|language=en}}</ref> The reformed calendars typically retained many features of the unreformed calendars. In many cases, the New Year was not on 1 January, the leap day was not on the [[bissextus|traditional bissextile day]], the old month names were retained, the lengths of the reformed months did not match the lengths of Julian months, and, even if they did, their first days did not match the first day of the corresponding Julian month. Nevertheless, since the reformed calendars had fixed relationships to each other and to the Julian calendar, the process of converting dates between them became quite straightforward, through the use of conversion tables known as "hemerologia".<ref>Studied in detail in W. Kubitschek, ''Die Kalendarbücher von Florenz, Rom und Leyden'' (Vienna, 1915).</ref>


The three most important of these calendars are the [[Coptic calendar|Alexandrian calendar]] and the [[Ancient Macedonian calendar]]─which had two forms: the Syro-Macedonian and the [[Roman Asia|'Asian']] calendars. Other reformed calendars are known from [[Cappadocia]], [[Cyprus]] and the cities of (Roman) Syria and Palestine. Unreformed calendars continued to be used in [[Gaul]] (the [[Coligny calendar]]), Greece, Macedon, the Balkans and parts of Palestine, most notably in Judea.
If managed correctly this system allowed the Roman year, on average, to stay roughly aligned to a tropical year. However, if too many intercalations were omitted, as happened after the [[Second Punic War]] and during the [[Roman civil wars|Civil Wars]], the calendar would drift rapidly out of alignment with the tropical year. Moreover, since intercalations were often determined quite late, the average Roman citizen often did not know the date, particularly if he were some distance from the city. For these reasons, the last years of the pre-Julian calendar were later known as ''years of confusion''. The problems became particularly acute during the years of Julius Caesar's pontificate before the reform, [[63 BC]] to [[46 BC]], when there were only five intercalary months, whereas there should have been eight, and none at all during the five Roman years before 46 BC.


The Asian calendar was an adaptation of the [[Ancient Macedonian calendar]] used in the [[Asia (Roman province)|Roman province of Asia]] and, with minor variations, in nearby cities and provinces. It is known in detail through the survival of decrees promulgating it issued in 8{{nbsp}}BC by the proconsul [[Paullus Fabius Maximus]]. It renamed the first month Dios as {{lang|la|Kaisar}}, and arranged the months such that each month started on the ninth day before the kalends of the corresponding Roman month; thus the year began on 23 September, Augustus's birthday.
The reform was intended to correct this problem permanently, by creating a calendar that remained aligned to the sun without any human intervention.


== Julian reform ==
== Julian reform ==
=== Realignment of the year ===
The first step of the reform was to realign the start of the calendar year ([[1 January]]) to the tropical year by making [[46 BC]] 445 days long, compensating for the intercalations which had been missed during Caesar's pontificate. This year had already been extended from 355 to 378 days by the insertion of a regular [[intercalary month]] in February. When Caesar decreed the reform, probably shortly after his return from the African campaign in late Quintilis (July), he added 67 (=22+23+22) more days by inserting two extraordinary intercalary months between November and December. These months are called "Intercalaris Prior" and "Intercalaris Posterior" in letters of Cicero written at the time; there is no basis for the statement sometimes seen that they were called "Unodecember" and "Duodecember". Their individual lengths are unknown, as is the position of the Nones and the Ides within them. Because [[46 BC]] was the last of a series of irregular years, this extra-long year was, and is, referred to as the ''last year of confusion''. The first year of operation of the new calendar was 45 BC.
[[File:Retrato de Julio César (26724093101) (cropped).jpg|thumb|upright|The [[Tusculum portrait]] of [[Julius Caesar]]]]


The first step of the reform was to realign the start of the calendar year (1 January) to the tropical year by making 46&nbsp;BC 445 days long, compensating for the intercalations which had been missed during Caesar's pontificate. This year had already been extended from 355 to 378 days by the insertion of a regular [[intercalary month]] in February. When Caesar decreed the reform, probably shortly after his return from the [[Battle of Thapsus|African campaign]] in late Quintilis (July), he added 67 more days by inserting two extraordinary intercalary months between November and December.<ref group="note">It is not known why he decided that 67 was the correct number of days to add, nor whether he intended to align the calendar to a specific astronomical event such as the winter solstice. [[Ideler]] suggested (''Handbuch der mathematischen und technischen Chronologie'' II 123–125) that he intended to align the winter solstice to a supposedly traditional date of 25 December. The number may compensate for three omitted intercalary months (67 = 22+23+22). It also made the distance from 1 March 46&nbsp;BC, the original New Year's Day in the Roman calendar, to 1 January 45&nbsp;BC 365 days.</ref>
The Julian months were formed by adding 10 days to the months of the regular pre-Julian Roman year of 355 days. Two extra days were added to January, August (Sextilis) and December, and one extra day was added to April, June, September and November, setting the lengths of the months to the values they still hold today. [[Macrobius]] states that the extra days were added immediately before the last day of each month to avoid disturbing the position of the established Roman ''fasti'' (days prescribed for certain events) relative to the start of the month. However, since Roman dates after the [[Roman calendar#Months|Ides]] of the month counted down towards the start of the next month, the extra days had the effect of raising the initial value of the count of the day after the Ides.


These months are called ''Intercalaris Prior'' and ''Intercalaris Posterior'' in letters of [[Cicero]] written at the time; there is no basis for the statement sometimes seen that they were called "[[Undecimber]]" and "[[Duodecember|Duodecimber]]", terms that arose in the 18th century over a millennium after the Roman Empire's collapse.<ref group="note">E.g., "... we have a sidelight on what was involved in "the year of confusion" as it was called. According to Dion Cassius, the historian, there was a governor in Gaul who insisted that, in the lengthened year, two months' extra taxes should be paid. The extra months were called Undecimber and Duodecimber." (P. W. Wilson, [https://books.google.com/books?id=9xcbAAAAYAAJ&q=undecimber+duodecimber ''The romance of the calendar''] (New York, 1937), 112). The eponymous dating of the cited passage ([https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_Dio/54*.html#21 Dio Cassius 54.21]) shows that it actually refers to an event of 15&nbsp;BC, not 46&nbsp;BC.</ref> Their individual lengths are unknown, as is the position of the [[Nones (calendar)|Nones]] and [[Ides (calendar)|Ides]] within them.<ref>J. Rüpke, ''The Roman Calendar from Numa to Constantine: Time, History and the Fasti'', 117f., suggests, based on the ritual structures of the calendar, that 5 days were added to November and that the two intercalary months each had 31 days, with Nones and Ides on the 7th and 15th.</ref>
The old [[intercalary month]] was abolished. The new leap day was originally inserted following [[February 24]], a.d. VI Kal. Mar. by Roman reckoning, since this is the point at which intercalary months were inserted in the pre-Julian calendar. It was considered as extending that day to 48 hours, so it was dated as "a.d. VI bis Kal. Mar.", and is called the bissextile day. When days in the month came to be numbered in consecutive day order, however, the Leap Day was considered to be the last day in February in leap years, i.e. [[February 29]].


Because 46&nbsp;BC was the last of a series of irregular years, this extra-long year was, and is, referred to as the "last year of confusion". The new calendar began operation after the realignment had been completed, in 45&nbsp;BC.<ref>[[William Smith (lexicographer)|William Smith]], ''[[Dictionary of Greek and Roman Antiquities]]:'' [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/secondary/SMIGRA*/Calendarium.html#p231 Year of Julius Caesar], following [[Ideler]], interprets Macrobius, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#14.13 ''Saturnalia'' 1.14.13] (Latin) to mean that Caesar decreed that the first day of the new calendar began with the new moon which fell on the night of 1/2 January 45&nbsp;BC.
==Leap year error==
<br />
Although the new calendar was much simpler than the pre-Julian calendar, the pontifices apparently misunderstood the algorithm for leap years. They added a leap day every three years, instead of every four years. According to Macrobius, the error was the result of counting inclusively, so that the four year cycle was considered as including both the first and fourth years. This resulted in too many leap days. [[Augustus]] remedied this discrepancy after 36 years by restoring the correct frequency. He also skipped several leap days in order to realign the year.
The new moon was on 2 January 45&nbsp;BC (in the [[Proleptic Julian calendar]]) at 00:21 UTC, according to [[Institut de mécanique céleste et de calcul des éphémérides|IMCCE]] (a branch of the [[Paris Observatory]]): [http://bugle.imcce.fr/en/grandpublic/phenomenes/phases_lune/index.php ''Phases of the moon (between −4000 and +2500)''] {{webarchive|url=https://web.archive.org/web/20110720232543/http://bugle.imcce.fr/en/grandpublic/phenomenes/phases_lune/index.php|date=2011-07-20}}. This is in agreement with the [http://astropixels.com/ephemeris/phasescat/phases-0099.html historical moon phase tables by Fred Espenak] in which the new moon was on 2 January 45&nbsp;BC at 00:43 UTC. Espenek's table assumes that the first Julian year of 45 BC was a leap year. If the first year of 45 BC was not a leap year, there would be a day offset, and the new moon would have been on 1 January 45&nbsp;BC at 00:43 UTC.
<br />
Espnek's historical moon phase tables also indicate that there was a new moon on 1 March 45&nbsp;BC at 08:39 UTC ([[Calends|Kalends]] of March), quarter moon on 8 March 45&nbsp;BC at 09:00 UTC (a day after [[Roman calendar#Days|Nones of March]]), and full moon on 15 March 45&nbsp;BC at 07:19 UTC ([[Ides of March]]). Espenak's tables of the phases of the moon are based on computational procedures described in ''Astronomical Algorithms'' by [[Jean Meeus]] (Willmann-Bell, Inc., Richmond, 1998).
<br />
More recent studies of the Macrobius manuscripts have shown that the word on which Idler's supposition is based, which was read as ''lunam'', should be read as ''linam'', meaning that Macrobius was simply stating that Caesar published an edict giving the revised calendar – see e.g., p.99 in the translation of Macrobius by P. Davies.
<br />
Smith gives no source or justification for his other speculation that Caesar originally intended to commence the year precisely with the winter solstice.</ref>


=== Months ===
The historic sequence of leap years in this period is not given explicitly by any ancient source, although the existence of the triennial leap year cycle is confirmed by an inscription that dates from [[9 BC|9]] or [[8 BC]]. The [[chronology|chronologist]] [[Joseph Scaliger]] established in [[1583]] that the Augustan reform was instituted in [[8 BC]], and inferred that the sequence of leap years was 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9 BC, AD 8, 12 etc. This proposal is still the most widely accepted solution. It has sometimes been suggested that there was an additional bissextile day in the first year of the Julian reform, i.e. that [[45 BC]] was also a leap year.


The Julian months were formed by adding ten days to a regular pre-Julian Roman year of 355 days, creating a regular Julian year of 365 days. Two extra days were added to January, Sextilis (August) and December, and one extra day was added to April, June, September, and November. February was not changed in ordinary years, and so continued to be the traditional 28 days. Thus, the ordinary (i.e., non-leap year) lengths of all of the months were set by the Julian calendar to the same values they still hold today.
Other solutions have been proposed from time to time. [[Johannes Kepler|Kepler]] proposed in [[1614]] that the correct sequence of leap years was 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 BC, AD 8, 12 etc. In [[1883]] the German chronologist Matzat proposed 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11 BC, AD 4, 8, 12 etc., based on a passage in [[Dio Cassius]] that mentions a leap day in 41 BC that was said to be ''contrary to (Caesar's) rule''. In the 1960s Radke argued the reform was actually instituted when Augustus became pontifex maximus in [[12 BC]], suggesting the sequence 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12 BC, AD 4, 8, 12 etc. With all these solutions, except that of Radke, the Roman calendar was not finally aligned to the Julian calendar of later times until [[26 February]] (a.d. V Kal. Mar.) [[4|AD 4]]. On Radke's solution, the two calendars were aligned on [[26 February]] [[1 BC]].


The Julian reform did not change [[Roman calendar#Months|the method used to account days of the month in the pre-Julian calendar]], based on the Kalends, Nones and Ides, nor did it change the positions of these three dates within the months. Macrobius states that the extra days were added immediately before the last day of each month to avoid disturbing the position of the established religious ceremonies relative to the Nones and Ides of the month.<ref>Macrobius, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#14.9 ''Saturnalia'' 1.14.9] (Latin). Exceptionally, the extra day in April was inserted as the 26th, a.d. VI Kal. Mai. in the Julian calendar, in order to avoid adding a day to the [[Floralia]], which ran from a.d. IV Kal. Mai. (27 April in the pre-Julian calendar) to a.d. V Non. Mai.</ref>
In 1999, an Egyptian [[papyrus]] was published that gives an [[ephemeris]] table for [[24 BC]] with both Roman and Egyptian dates. From this it can be shown that the most likely sequence was in fact 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8 BC, AD 4, 8, 12 etc, very close to that proposed by Matzat. This sequence shows that the standard Julian leap year sequence began in [[4|AD 4]], the 12th year of the Augustan reform, and that the Roman calendar was finally aligned to the Julian calendar in [[1 BC]], as in Radke's model. The Roman year also coincided with the proleptic Julian year between 32 and 26 BC. This suggests that one aim of the realignment portion of the Augustan reform was to ensure that key dates of his career, notably the fall of Alexandria on [[1 August]] [[30 BC]], were unaffected by his correction.


The inserted days were all initially characterised as ''dies fasti'' ('''F''' – see [[Roman calendar#Character of the day|Roman calendar]]).<ref>Macrobius, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#14.12 ''Saturnalia'' 1.14.12] (Latin).</ref> The character of a few festival days was changed. In the early Julio-Claudian period a large number of festivals were decreed to celebrate events of dynastic importance, which caused the character of the associated dates to be changed to '''NP'''. However, this practice was discontinued around the reign of [[Claudius]], and the practice of characterising days fell into disuse around the end of the first century AD: the Antonine jurist [[Gaius (jurist)|Gaius]] speaks of ''dies nefasti'' as a thing of the past.<ref>A. K. Michels, ''The Calendar of the Roman Republic'' Appendix II; J. Rüpke, ''The Roman Calendar from Numa to Constantine'' 113–114, 126–132, 147.</ref>
Roman dates before 32 BC were typically a day or two before the day with the same Julian date, so [[1 January]] in the Roman calendar of the first year of the Julian reform was [[31 December]] [[46 BC]] (Julian date). A curious effect of this is that Caesar's assassination on the Ides (15th day) of March fell on [[14 March]] [[44 BC]] in the Julian calendar.


=== Intercalation ===
==Month names==
The old intercalary month was abolished. The new leap day was dated as ''ante diem bis sextum Kalendas Martias'' ('the sixth doubled day before the Kalends of March'), usually abbreviated as ''a.d. bis VI Kal. Mart.''; hence it is called in English the [[bissextile]] day. The year in which it occurred was termed ''annus bissextus'', in English the bissextile year.
Immediately after the Julian reform, the twelve months of the Roman calendar were named Ianuarius, Februarius, Martius, Aprilis, Maius, Iunius, Quintilis, Sextilis, September, October, November, and December, just as they were before the reform. The old intercalary month, the [[Mercedonius|Mensis Intercalaris]], was abolished and replaced with a single intercalary day at the same point (i.e. five days before the end of Februarius). The first month of the year continued to be Ianuarius, as it had been since [[153 BC]].


There is debate about the exact position of the bissextile day in the early Julian calendar. The earliest direct evidence is a statement of the 2nd century jurist [[Publius Iuventius Celsus|Celsus]], who states that there were two-halves of a 48-hour day, and that the intercalated day was the "posterior" half. An inscription from AD&nbsp;168 states that ''a.d. V Kal. Mart.'' was the day after the bissextile day. The 19th century chronologist [[Christian Ludwig Ideler|Ideler]] argued that Celsus used the term "posterior" in a technical fashion to refer to the earlier of the two days, which requires the inscription to refer to the whole 48-hour day as the bissextile. Some later historians share this view. Others, following [[Theodor Mommsen|Mommsen]], take the view that Celsus was using the ordinary Latin (and English) meaning of "posterior". A third view is that neither half of the 48-hour "bis sextum" was originally formally designated as intercalated, but that the need to do so arose as the concept of a 48-hour day became obsolete.<ref>W. Sternkopf, "[https://books.google.com/books?id=MmPMaTG2ukYC&pg=PA718 Das Bissextum]", (JCP 41 (1895) 718–733).</ref>
The Romans later renamed months after [[Julius Caesar]] and [[Augustus]], renaming Quintilis (originally, "the Fifth month", with March = month 1) as Iulius (July)<ref>Note that the letter [[J]] was not invented until the [[16th century]].</ref> in 44 BC and Sextilis ("Sixth month") as Augustus (August) in 8 BC. Quintilis was renamed to honour Caesar because it was the month of his birth. According to a ''senatus consultum'' quoted by Macrobius, Sextilis was renamed to honour Augustus because several of the most significant events in his rise to power, culminating in the fall of Alexandria, fell in that month.


There is no doubt that the bissextile day eventually became the earlier of the two days for most purposes. In 238 Censorinus stated that it was inserted after the [[Terminus (god)|Terminalia]] (23 February) and was followed by the last five days of February, i.e., a.d. VI, V, IV, III and prid. Kal. Mart. (which would be 24 to 28 February in a common year and the 25th to 29th in a leap year). Hence he regarded the bissextum as the first half of the doubled day. All later writers, including Macrobius about 430, [[Bede]] in 725, and other medieval [[computus|computists]] (calculators of Easter) followed this rule, as does the [[liturgical year|liturgical calendar]] of the Roman Catholic Church. However, Celsus' definition continued to be used for legal purposes. It was incorporated into [[Digest (Roman law)|Justinian's Digest]],<ref>Justinian, [http://webu2.upmf-grenoble.fr/Haiti/Cours/Ak/Anglica/D50_Scott.htm#XVI Digest 50.16.98] {{Webarchive|url=https://web.archive.org/web/20120208135740/http://webu2.upmf-grenoble.fr/Haiti/Cours/Ak/Anglica/D50_Scott.htm#XVI |date=2012-02-08 }}.</ref> and in the English ''[[Statute De Anno et Die Bissextili]]'' of 1236,<ref>{{cite book |chapter-url=https://books.google.com/books?id=tKZFAAAAcAAJ&pg=PA20 |chapter=The statute ''De anno et die bissextili'', made at Westminster, Anno 21 Hen. III. and Anno Dom. 1236 |title=The Statutes at Large from Magna Charta to the End of the Reign of King Henry the Sixth |volume=1 |location=London |year=1763}}</ref> which was not formally repealed until 1879.
Other months were renamed by other emperors, but apparently none of the later changes survived their deaths. [[Caligula]] renamed September ("Seventh month") as [[Germanicus]]; [[Nero]] renamed Aprilis (April) as Neroneus, Maius (May) as Claudius and Iunius (June) as Germanicus; and [[Domitian]] renamed September as [[Germanicus]] and October ("Eighth month") as Domitianus. At other times, September was also renamed as [[Antoninus Pius|Antoninus]] and [[Marcus Claudius Tacitus|Tacitus]], and November ("Ninth month") was renamed as [[Faustina the Elder|Faustina]] and Romanus. [[Commodus]] was unique in renaming all twelve months after his own adopted names (January to December): Amazonius, Invictus, Felix, Pius, Lucius, Aelius, Aurelius, Commodus, Augustus, Herculeus, Romanus, and Exsuperatorius.


The effect of the bissextile day on the [[nundinal cycle]] is not discussed in the sources. According to Dio Cassius, a leap day was inserted in 41&nbsp;BC to ensure that the first market day of 40&nbsp;BC did not fall on 1 January, which implies that the old 8-day cycle was not immediately affected by the Julian reform. However, he also reports that in AD&nbsp;44, and on some previous occasions, the market day was changed to avoid a conflict with a religious festival. This may indicate that a single nundinal letter was assigned to both halves of the 48-hour bissextile day by this time, so that the [[Regifugium]] and the market day might fall on the same date but on different days. In any case, the 8-day nundinal cycle began to be displaced by the 7-day [[Seven-day week|week]] in the first century AD, and [[dominical letter]]s began to appear alongside nundinal letters in the fasti.<ref>[https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_Dio/48*.html#33.4 Dio Cassius 48.33.4], [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_Dio/60*.html#24.7 60.24.7]; C. J. Bennett, "The Imperial Nundinal Cycle", ''Zeitschrift für Papyrologie und Epigraphik'' 147 (2004) 175–179.</ref>
Much more lasting than the ephemeral month names of the post-Augustan Roman emperors were the names introduced by [[Charlemagne]]. He renamed all of the months agriculturally into [[Old High German]]. They were used until the [[15th century]], and with some modifications until the late [[18th century]] in Germany and in the Netherlands (January-December): Wintarmanoth (winter month), Hornung (the month when the male red deer sheds its antlers), Lentzinmanoth (Lent month), Ostarmanoth (Easter month), Wonnemanoth (love making month), Brachmanoth (plowing month), Heuvimanoth (hay month), Aranmanoth (harvest month), Witumanoth (wood month), Windumemanoth (vintage month), Herbistmanoth (autumn/harvest month)<!--(grazing month)-->, and Heilagmanoth (holy month).


===Year length; leap years===
==Month lengths==
The Julian calendar has two types of year: "normal" years of 365 days and [[leap year|"leap" years]] of 366 days. There is a simple cycle of three "normal" years followed by a leap year and this pattern repeats forever without exception. The Julian year is, therefore, on average 365.25 days long. Consequently, the Julian year drifts over time with respect to the [[tropical year|tropical (solar) year]] (365.24217 days).<ref name="Richards">Using value from Richards (2013, p. 587) for tropical year in mean solar days, the calculation is {{nowrap|1/(365.2425-365.24217)}}</ref>
The Julian reform set the lengths of the months to their modern values. However, a 13th century scholar, [[Sacrobosco]], proposed a different explanation for the lengths of Julian months which is still widely repeated but is certainly wrong.<ref>Roscoe Lamont, "[http://adsabs.harvard.edu/abs/1919PA.....27..579P The Roman calendar and its reformation by Julius Caesar]", ''Popular Astronomy'' '''27''' (1919) 583–595. The reference is the second article in the hyperlink; its last page is [http://adsabs.harvard.edu/abs/1919PA.....27..595S here]. Sacrobosco's theory is discussed on pages 585–587.</ref> According to Sacrobosco, the original scheme for the months in the Julian Calendar was very regular, alternately long and short. From January through December, the month lengths according to Sacrobosco for the Roman Republican calendar were:


Although Greek astronomers had known, at least since [[Hipparchus]],<ref name=":0">[[Ptolemy|Claudius Ptolemy]], tr. [[G. J. Toomer]], ''[[Almagest|Ptolemy's Almagest]]'', 1998, Princeton University Press, p. 139. Hipparchus stated that the "solar year ... contains 365 days, plus a fraction which is less than {{sfrac|1|4}} by about {{sfrac|1|300}}th of the sum of one day and night".</ref> a century before the Julian reform, that the tropical year was slightly shorter than 365.25 days, the calendar did not compensate for this difference. As a result, the calendar year gains about three days every four centuries compared to observed [[equinox]] times and the seasons. This discrepancy was largely corrected by the [[Gregorian calendar|Gregorian reform]] of 1582. The Gregorian calendar has the same months and month lengths as the Julian calendar, but, in the Gregorian calendar, year numbers evenly divisible by 100 are not leap years, except that those evenly divisible by 400 remain leap years<ref name=":1">[http://aa.usno.navy.mil/faq/docs/calendars.php Introduction to Calendars] {{Webarchive|url=https://web.archive.org/web/20190613115330/http://aa.usno.navy.mil/faq/docs/calendars.php |date=2019-06-13 }}. (15 May 2013). [[United States Naval Observatory]].</ref> (even then, the Gregorian calendar diverges from astronomical observations by one day in 3,030 years).<ref name=Richards />
30, 29, 30, 29, 30, 29, 30, 29, 30, 29, 30, 29


== Leap year error ==
He then thought that Julius Caesar added one day to every month except February, a total of 11 more days, giving the year 365 days. A leap day could now be added to the extra short February:
<!-- Linked from Roman calendar: Later reforms -->
Although the new calendar was much simpler than the pre-Julian calendar, the pontifices initially added a leap day every three years, instead of every four. There are accounts of this in Solinus,<ref>Gaius Julius Solinus, ''De mirabilibus mundi'', c.3, available at [https://books.google.com/books?id=ABxNAAAAcAAJ].</ref> Pliny,<ref>Gaius Plinius Secundus, ''Natural History'', Vol. 2, 18.57, tr. J Bostock and H T Riley, London 1855, available at [https://www.perseus.tufts.edu/hopper/text?doc=Plin.+Nat.+18.57&fromdoc=Perseus%3Atext%3A1999.02.0137].</ref> Ammianus,<ref>''The Roman History of Ammianus Marcellinus'', 26.10, Loeb Classical Library vol. II, Harvard 1940, available at [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Ammian/26*.html].</ref> Suetonius,<ref>Gaius Suetonius Tranquillus, ''Life of Julius Caesar'', 40.1, Loeb Classical Library, Harvard 1913, available at [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#ref38] {{Webarchive|url=https://archive.today/20120530163202/http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#ref38|date=2012-05-30}}.</ref> and Censorinus.<ref>Censorinus, ''The Natal Day'', 20.30, tr. William Maude, New York 1900 available at [http://elfinspell.com/ClassicalTexts/Maude/Censorinus/DeDieNatale-Part2.html#chap9].</ref>


Macrobius<ref>Macrobius Ambrosius Theodosius, ''Saturnalia'', 1.14.13–1.14.14, tr. Percival Vaughan Davies, New York 1969, Latin text at [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#14.13.]</ref> gives the following account of the introduction of the Julian calendar:
31, 29/30, 31, 30, 31, 30, 31, 30, 31, 30, 31, 30
{{blockquote|text=Caesar's regulation of the civil year to accord with his revised measurement was proclaimed publicly by edict, and the arrangement might have continued to stand had not the correction itself of the calendar led the priests to introduce a new error of their own; for they proceeded to insert the intercalary day, which represented the four quarter-days, at the beginning of each fourth year instead of at its end, although the intercalation ought to have been made at the end of each fourth year and before the beginning of the fifth.


This error continued for thirty-six years by which time twelve intercalary days had been inserted instead of the number actually due, namely nine. But when this error was at length recognised, it too was corrected, by an order of Augustus, that twelve years should be allowed to pass without an intercalary day, since the sequence of twelve such years would account for the three days which, in the course of thirty-six years, had been introduced by the premature actions of the priests.}}
He then said Augustus changed this to:
So, according to Macrobius,
# the year was considered to begin after the Terminalia (23 February),<ref>Marcus Terentius Varro, ''On the Latin Language'', 6.13, tr. Roland Kent, London 1938 available at [https://ryanfb.github.io/loebolus-data/L333.pdf].</ref>
# the calendar was operated correctly from its introduction on 1 January 45&nbsp;BC until the beginning of the fourth year (February 42&nbsp;BC) at which point the priests inserted the first intercalation,
# Caesar's intention was to make the first intercalation at the beginning of the fifth year (February 41&nbsp;BC),
# the priests made a further eleven intercalations after 42&nbsp;BC at three-year intervals so that the twelfth intercalation fell in 9&nbsp;BC,
# had Caesar's intention been followed there would have been intercalations every four years after 41&nbsp;BC, so that the ninth intercalation would have been in 9&nbsp;BC,
# after 9&nbsp;BC, there were twelve years without [[leap year]]s, so that the leap days Caesar would have had in 5&nbsp;BC, 1&nbsp;BC and AD&nbsp;4 were omitted and
# after AD&nbsp;4 the calendar was operated as Caesar intended, so that the next leap year was AD&nbsp;8 and then leap years followed every fourth year thereafter.<ref>Nautical Almanac Offices of the United Kingdom and the United States. (1961). ''Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac'', London: Her Majesty's Stationery Office. p. 410–11.</ref>


Some people have had different ideas as to how the leap years went. The above scheme is that of Scaliger (1583) in the table below. He established that the Augustan reform was instituted in 8&nbsp;BC. The table below shows for each reconstruction the implied proleptic Julian date for the first day of Caesar's reformed calendar and the first Julian date on which the Roman calendar date matches the Julian calendar after the completion of Augustus' reform.
31, 28/29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31


{|class="wikitable"
so that the length of ''Augustus'' would not be shorter than (and therefore inferior to) the length of ''Iulius'', giving us the irregular month lengths which are still in use.
|-
! Scholar !! Date !! Triennial leap years (BC) !! First<br> Julian day !! First<br> aligned day !! Quadriennial<br> leap year<br> resumes
|-
| Bennett<ref>C. J. Bennett, "The Early Augustan Calendars in Rome and Egypt", Zeitschrift fűr Papyrologie und Epigraphik 142 (2003) 221–240 and "The Early Augustan Calendars in Rome and Egypt: Addenda et Corrigenda", Zeitschrift fűr Papyrologie und Epigraphik 147 (2004) 165–168; see also Chris Bennett, [https://web.archive.org/web/20120219041722/https://tyndalehouse.com/Egypt/ptolemies/chron/roman/024bc.htm A.U.C. 730 = 24 B.C. (Egyptian papyrus)].</ref>
| 2003
| 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8 || 31 December 46 BC || 25 February 1 BC || AD 4
|-
| Soltau<ref>W. Soltau, [https://books.google.com/books?id=dVs-AAAAYAAJ&pg=PA170 ''Römische Chronologie''] (Freiburg, 1889) 170–173. He accepted Matzat's phase of the triennial cycle but argued that it was absurd to suppose that Caesar would have made the second Julian year a leap year and that the 36 years had to be accounted from 45&nbsp;BC.</ref>
| 1889
| 45, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11 || 2 January 45 BC || 25 February AD 4 || AD 8
|-
| Matzat<ref>H. Matzat, [https://archive.org/details/rmischechronolo02matzgoog/page/n197 <!-- pg=13 --> ''Römische Chronologie'' I] (Berlin, 1883), 13–18. His argument rested on [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_Dio/48*.html#33.4 Dio Cassius 48.33.4] which mentions a leap day inserted in 41&nbsp;BC, "contrary to the (i.e., Caesar's) rule", in order to avoid having a market day on the first day of 40&nbsp;BC. Dio stated that this leap day was compensated for "later". Matzat proposed this was done by omitting a scheduled leap day in 40&nbsp;BC, rather than by omitting a day from an ordinary year.</ref>
| 1883
| 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11 || 1 January 45 BC || 25 February 1 BC || AD 4
|-
| [[Ludwig Ideler|Ideler]]<ref>C. L. Ideler, [https://books.google.com/books?id=ql56SzvCeJMC&pg=PA130 ''Handbuch der mathematischen und technischen Chronologie''] (Berlin, 1825) II 130–131. He argued that Caesar would have enforced the bissextile day by introducing it in his first reformed year. T. E. Mommsen, [https://archive.org/details/bub_gb_qsspAAAAYAAJ/page/n281 <!-- pg=282 --> ''Die Römische Chronologie bis auf Caesar''] (Berlin, 1859) 282–299, provided additional circumstantial arguments.</ref>
| 1825
| 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9 || 1 January 45 BC || 25 February AD 4 || AD 8
|-
| [[Johannes Kepler|Kepler]]<ref>J. Kepler, ''De Vero Anno Quo Æternus Dei Filius Humanan Naturam in Utero Benedictæ Virginis Mariæ Assumpsit'' (Frankfurt, 1614) Cap. V, repub. in F. Hammer (ed.), ''Johannes Keplers Gesammelte Werke'' (Berlin, 1938) V 28.</ref>
| 1614
| 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 || 2 January 45 BC || 25 February AD 4 || AD 8
|-
| [[Thomas Harriot|Harriot]]<ref name="Harriot" />
| After 1610
| 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 || 1 January 45 BC || 25 February 1 BC || AD 4
|-
| [[Heinrich Bünting|Bünting]]<ref name="Harriot">For the list of triennial leap years proposed by Bünting, Christmann and Harriot, see [http://www.hermetic.ch/cal_stud/cassidy/shspk1zc.pdf Harriot's comparative table reproduced by Simon Cassidy] (Fig. 6). The table numbers years as Julian years, where Julian year 1 = 45&nbsp;BC. Thus, Scaliger and Clavius (col. 7) resume intercalation in Julian year 53 = AD 8, while Bünting (col. 8) and Harriot (col. 3) resume it in Julian year 49 = AD 4 and Christmann (col. 9) in year 52 = AD 7.</ref>
| 1590
| 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12 || 1 January 45 BC || 25 February 1 BC || AD 4
|-
| [[Jakob Christmann|Christmann]]<ref name="Harriot" /><ref>J. Christmann [https://books.google.com/books?id=NTc6AAAAcAAJ&pg=PA173 ''Muhamedis Alfragani arabis chronologica et astronomica elementa''] (Frankfurt, 1590), 173. His argument assumed that the triennial cycle started in the third Julian year.</ref>
| 1590
| 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 || 2 January 45 BC || 25 February AD 4 || AD 7<ref name="Harriot" />
|-
| [[Joseph Scaliger|Scaliger]]<ref>J. J. Scaliger, ''De emendatione temporum'' (Paris, 1583), 159, 238.</ref>
| 1583
| 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9 || 2 January 45 BC || 25 February AD 4 || AD 8
|}


By the systems of Scaliger, Ideler and Bünting, the leap years prior to the suspension happen to be BC years that are divisible by 3, just as, after leap year resumption, they are the AD years divisible by 4.
There is abundant evidence disproving this theory. First, a wall painting of a [[Roman calendar]] predating the Julian reform has survived,<ref>[http://web.archive.org/web/20060624201749/http://www.personal.psu.edu/users/enwiki/w/x/wxk116/RomanCalendar/Fasti4.gif Roman Republican calendar]</ref>
which confirms the literary accounts that the months were already irregular before Julius Caesar reformed them:


Pierre Brind'Amour<ref>Pierre Brind'Amour, ''Le calendrier romain'', Ottawa 1983, pp. 45–46.</ref> argued that "only one day was intercalated between 1/1/45 and 1/1/40 (disregarding a momentary 'fiddling' in December of 41)<ref>Dio Cassius 48.33.4, tr. Earnest Cary, Loeb Classical Library, 9 vol., Harvard 1914–1927, available at [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Cassius_Dio/48*.html#33.4].</ref> to avoid the nundinum falling on Kal. Ian."<ref>Refutation of Brind'Amour's theory by John Ward, ''Re: Intercalation in 45BC to 8AD'', East Carolina University Calendar discussion List CALNDR-L, April 1998.</ref>
29, 28, 31, 29, 31, 29, 31, 29, 29, 31, 29, 29


Alexander Jones says that the correct Julian calendar was in use in Egypt in 24&nbsp;BC,<ref name="papyrus" /> implying that the first day of the reform in both Egypt and Rome, {{nowrap|1 January 45 BC}}, was the Julian date 1&nbsp;January if 45&nbsp;BC was a leap year and 2&nbsp;January if it was not. This necessitates fourteen leap days up to and including AD&nbsp;8 if 45&nbsp;BC was a leap year and thirteen if it was not.
Also, the Julian reform did not change the dates of the [[Nones]] and [[Ides]]. In particular, the Ides were late (on the 15th rather than 13th) in March, May, July and October, showing that these months always had 31 days in the Roman calendar, whereas Sacrobosco's theory requires that March, May and July were originally 30 days long and that the length of October was changed from 29 to 30 days by Caesar and to 31 days by Augustus. Further, Sacrobosco's theory is explicitly contradicted by the third and fifth century authors [[Censorinus]] and [[Macrobius]], and it is inconsistent with seasonal lengths given by Varro, writing in [[37 BC]], before the Augustan reform, with the 31-day Sextilis given by the new Egyptian papyrus from [[24 BC]], and with the 28-day February shown in the ''Fasti Caeretani'', which is dated before [[12 BC]].
In 1999, a papyrus was discovered which gives the dates of astronomical phenomena in 24&nbsp;BC in both the Egyptian and Roman calendars. From {{nowrap|30 August 26 BC (Julian)}}, Egypt had two calendars: the old Egyptian in which every year had 365 days and the new Alexandrian in which every fourth year had 366 days. Up to {{nowrap|28 August 22 BC (Julian)}} the date in both calendars was the same. The dates in the Alexandrian and Julian calendars are in one-to-one correspondence except for the period from 29 August in the year preceding a Julian leap year to the following 24 February.<ref>Dieter Hagedorn, ''Zum aegyptischen Kalender unter Augustus'', Zeitschrift fűr Papyrologie und Epigraphik 100 (1994) 211–222, available at [http://www.uni-koeln.de/phil-fak/ifa/zpe/downloads/1994/100pdf/100211.pdf].</ref> From a comparison of the astronomical data with the Egyptian and Roman dates, Alexander Jones<ref name="papyrus">Alexander Jones, ''Calendrica II: Date Equations from the Reign of Augustus'', Zeitschrift fűr Papyrologie und Epigraphik 129 (2000) 159–166, available at [http://www.uni-koeln.de/phil-fak/ifa/zpe/downloads/2000/129pdf/129159.pdf].</ref> concluded that the Egyptian astronomers (as opposed to travellers from Rome) used the correct Julian calendar.


Due to the confusion about this period, we cannot be sure exactly what day (e.g. [[Julian day number]]) any particular Roman date refers to before March of 8&nbsp;BC, except for those used in Egypt in 24{{nbsp}}BC which are secured by astronomy.
==Year numbering==
The dominant method that the Romans used to identify a year for dating purposes was to name it after the two consuls who took office in it. Since [[153 BC]], they had taken office on [[1 January]], and Julius Caesar did not change the beginning of the year. Thus this consular year was an eponymous or named year. In addition to consular years, the Romans sometimes used the regnal year of the emperor, and by the late fourth century documents were also being dated according to the 15-year cycle of the [[indiction]]. In [[537]], [[Justinian I|Justinian]] required that henceforth the date must include the name of the emperor and his regnal year, in addition to the [[indiction]] and the consul, while also allowing the use of local eras.


An inscription has been discovered which orders a [[Paullus Fabius Maximus#A New Calendar in the Province of Asia|new calendar]] to be used in the [[Province of Asia]] to replace the previous Greek lunar calendar.<ref>[http://epigraphy.packhum.org/inscriptions/main?url=oi%3Fikey%3D252886%26region%3D8%26subregion%3D29%26bookid%3D520%26caller%3Dsearch%26start%3D1193%26end%3D1202 OGIS 458] (Greek).</ref> According to one translation
In [[309]] and [[310]], and from time to time thereafter, no consuls were appointed.<ref>Chronography of AD 354, see [http://www.tertullian.org/fathers/chronography_of_354_08_fasti.htm]</ref> When this happened, the consular date was given a count of years since the last consul (so-called "post-consular" dating). After [[541]], only the reigning emperor held the consulate, typically for only one year in his reign, and so post-consular dating became the norm. Similar post-consular dates are also known in the West in the early sixth century. The last known post-consular date is year 22 after the consulate of [[Heraclius]].{{Verify source|date=August 2007}} The last emperor to hold the consulate was [[Constans II]]. The system of consular dating, long obsolete, was formally abolished in the law code of [[Leo VI the Wise|Leo VI]], issued in 888.


{{Blockquote|text=Intercalation shall commence on the day after 14 Peritius [a.d. IX Kal. Feb, which would have been 15 Peritius] as it is currently constituted in the third year following promulgation of the decree. Xanthicus shall have 32 days in this intercalary year.<ref>B A Buxton and R Hannah in ''Studies in Latin Literature and Roman History'' (ed. C Deroux), XII 290.</ref> }}
Only rarely did the Romans number the year from the [[founding of Rome|founding of the city (of Rome)]], ''[[ab urbe condita]]'' (AUC). This method was used by Roman historians to determine the number of years from one event to another, not to date a year. Different historians had several different dates for the founding. The [[Fasti|''Fasti Capitolini'']], an inscription containing an official list of the consuls which was published by Augustus, used an [[epoch (reference date)|epoch]] of [[752 BC]]. The epoch used by [[Marcus Terentius Varro|Varro]], [[753 BC]], has been adopted by modern historians. Indeed, [[Renaissance]] editors often added it to the manuscripts that they published, giving the false impression that the Romans numbered their years. Most modern historians tacitly assume that it began on the day the consuls took office, and ancient documents such as the ''Fasti Capitolini'' which use other AUC systems do so in the same way. However, [[Censorinus]], writing in the third century AD, states that, in his time, the AUC year began with the [[Parilia]], celebrated on [[21 April]], which was regarded as the actual anniversary of the foundation of Rome. Because the festivities associated with the Parilia conflicted with the solemnity of [[Lent]], which was observed until the Saturday before Easter Sunday, the early Roman church did not celebrate Easter after [[21 April]].<ref>Charles W. Jones, "Development of the Latin Ecclesiastical calendar", ''Bedae Opera de Temporibus'' (1943), 1-122, p.28.</ref>


This is historically correct.{{citation needed|date=August 2024}} It was decreed by [[Paullus Fabius Maximus|the proconsul]] that the first day of the year in the new calendar shall be Augustus' birthday, a.d. IX Kal. Oct. Every month begins on the ninth day before the kalends. The date of introduction, the day after 14 Peritius, was 1 Dystrus, the next month. The month after that was Xanthicus. Thus Xanthicus began on a.d. IX Kal. Mart., and normally contained 31 days. In leap year, however, it contained an extra "Sebaste day", the Roman leap day, and thus had 32 days. From the lunar nature of the old calendar we can fix the starting date of the new one as 24&nbsp;January, {{nowrap|a.d. IX Kal. Feb 5 BC}} in the Julian calendar, which was a leap year. Thus from inception the dates of the reformed Asian calendar are in one-to-one correspondence with the Julian.
While the Julian reform applied originally to the Roman calendar, many of the other calendars then used in the Roman Empire were aligned with the reformed calendar under [[Augustus]]. This led to the adoption of several local eras for the Julian calendar, such as the [[Era of Actium]] and the [[Spanish Era]], some of which were used for a considerable time. Perhaps the best known is the [[Era of Martyrs]], sometimes also called ''Anno Diocletiani'' (after [[Diocletian]]), which was often used by the [[Alexandria|Alexandrian Christians]] to number their Easters during the [[fourth century|fourth]] and [[fifth century|fifth centuries]] and continued to be used by the Coptic and Abyssinian churches.


Another translation of this inscription is
In the Eastern Mediterranean, the efforts of Christian chronographers such as [[Annianus of Alexandria]] to date the Biblical creation of the world led to the introduction of [[Anno Mundi]] eras based on this event. The most important of these was the [[Aetos Kosmou]], used throughout the Byzantine world from the 10th century and in Russia till 1700. In the West, [[Dionysius Exiguus]] proposed the system of [[Anno Domini]] in [[525]]. This era gradually spread through the western Christian world, once the system was adopted by [[Bede]].


{{Blockquote|Intercalation shall commence on the day after the fourteenth day in the current month of Peritius [a.d. IX Kal. Feb], occurring every third year. Xanthicus shall have 32 days in this intercalary year.<ref>U. Laffi, "Le iscrizioni relative all'introduzione nel 9 a.c. del nuovo calendario della provincia d'Asia", Studi Classici e Orientali 16 (1967) 5–99.</ref>}}
==New Year's Day==


This would move the starting date back three years to 8&nbsp;BC, and from the lunar synchronism back to 26 January (Julian). But since the corresponding Roman date in the inscription is 24 January, this must be according to the incorrect calendar which in 8&nbsp;BC Augustus had ordered to be corrected by the omission of leap days. As the authors of the previous{{which|date=October 2019}} paper point out, with the correct four-year cycle being used in Egypt and the three-year cycle abolished in Rome, it is unlikely that Augustus would have ordered the three-year cycle to be introduced in Asia.
The Roman calendar began the year on [[1 January]], and this remained the start of the year after the Julian reform. However, even after local calendars were aligned to the Julian calendar, they started the new year on different dates. The [[Alexandrian calendar]] in Egypt started on [[29 August]] ([[30 August]] after an Alexandrian leap year). Several local provincial calendars were aligned to start on the birthday of Augustus, [[23 September]]. The [[indiction]] caused the [[Byzantine Empire|Byzantine]] year, which used the Julian calendar, to begin on [[1 September]]; this date is still used in the [[Eastern Orthodox Church]] for the beginning of the [[liturgical year]]. When the Julian calendar was adopted in Russia in AD 988 by [[Vladimir I of Kiev]], the year was numbered [[Anno Mundi]] 6496, beginning on [[1 March]], six months after the start of the Byzantine Anno Mundi year with the same number. In 1492 (AM 7000), [[Ivan III]], according to church tradition, realigned the start of the year to [[1 September]], so that AM 7000 only lasted for six months in Russia, from [[1 March]] to [[31 August]] 1492.<ref>[http://grigam.hop.ru/kalend/kalen19.htm История календаря в России и в СССР (Calendar history in Russia and in the USSR)]</ref>


==Month names==
During the [[Middle Ages]] [[1 January]] retained the name ''[[New Year's Day]]'' (or an equivalent name) in all [[Western Europe|Western European]] countries (affiliated with the [[Roman Catholic Church]]), since the medieval calendar continued to display the months from January to December (in twelve columns containing 28 to 31 days each), just as the Romans had. However, most of those countries began their numbered year on [[25 December]] (the Nativity of [[Jesus]]), [[25 March]] (the [[Annunciation|Incarnation of Jesus]]), or even [[Easter]], as in [[France]] (see the [[Liturgical year]] article for more details).
The Julian reform did not immediately cause the names of any months to be changed. The old [[Mercedonius|intercalary month]] was abolished and replaced with a single intercalary day at the same point (i.e., five days before the end of February).<ref>{{Cite web |last=Genealogy |first=History & |title=LibGuides Home: Colonial Records & Topics: 1752 Calendar Change |url=https://libguides.ctstatelibrary.org/hg/colonialresearch/calendar |access-date=2023-10-26 |website=libguides.ctstatelibrary.org |language=en}}</ref><ref>{{Cite web |title=Intercalation |url=https://penelope.uchicago.edu/~grout/encyclopaedia_romana/calendar/intercalation.html |access-date=2023-10-26 |website=penelope.uchicago.edu}}</ref>


===Roman===
In England before 1752, [[1 January]] was celebrated as the New Year festival,<ref>[http://www.pepysdiary.com/archive/1661/12/31/index.php http://www.pepysdiary.com/archive/1661/12/31/index.php], [http://www.pepysdiary.com Pepys Diary] "I sat down to end my journell for this year, ..."</ref> but the "year starting 25th March was called the Civil or Legal Year, although the phrase [[Old Style#Differences between the start of the year|Old Style]] was more commonly used."<ref name=MS>Spathaky, Mike [http://www.genfair.com/dates.htm Old Style New Style dates and the change to the Gregorian calendar].</ref> To reduce misunderstandings on the date, it was not uncommon in parish registers for a new year heading after [[24 March]] for example 1661 had another heading at the end of the following December indicating "1661/62". This was to explain to the reader that the year was 1661 Old Style and 1662 New Style.<ref name=MS-oblique-stroke>Spathaky, Mike [http://www.genfair.com/dates.htm Old Style New Style dates and the change to the Gregorian calendar]. "An oblique stroke is by far the most usual indicator, but sometimes the alternative final figures of the year are written above and below a horizontal line, as in a fraction (a form which cannot easily be reproduced here in ASCII text). Very occasionally a hyphen is used, as 1733-34."</ref>
The Romans later renamed months after Julius Caesar and Augustus, renaming Quintilis as "Iulius" (July)<ref name=J /> in 44&nbsp;BC and Sextilis as "Augustus" (August) in 8&nbsp;BC. Quintilis was renamed to honour Caesar because it was the month of his birth.<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#76 ''Caesar''] {{Webarchive|url=https://archive.today/20120530163202/http://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Julius*.html#76 |date=2012-05-30 }} 76.1.</ref> According to a {{lang|la|[[senatus consultum]]}} quoted by Macrobius, Sextilis was renamed to honour Augustus because several of the most significant events in his rise to power, culminating in the fall of Alexandria, occurred in that month.<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Augustus*.html#31.2 ''Augustus'' 31.2]; Macrobius, [https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Macrobius/Saturnalia/1*.html#12.35 ''Saturnalia'' 1.12.35] (Latin)</ref>


Other months were renamed by other emperors, but apparently none of the later changes survived their deaths. In AD&nbsp;37, [[Caligula]] renamed September as "Germanicus" after his [[Germanicus|father]];<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Caligula*.html#15.2 ''Caligula'' 15.2].</ref> in AD&nbsp;65, [[Nero]] renamed April as "Neroneus", May as "Claudius" and June as "Germanicus";<ref>Tacitus, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Tacitus/Annals/15C*.html#74 ''Annals'' 15.74], [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Tacitus/Annals/16*.html#12 16.12].</ref> and in AD&nbsp;84 [[Domitian]] renamed September as "Germanicus" and October as "Domitianus".<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Domitian*.html#13.3 ''Domitian'' 13.3].</ref> [[Commodus]] was unique in renaming all twelve months after his own adopted names (January to December): "Amazonius", "Invictus", "Felix", "Pius", "Lucius", "Aelius", "Aurelius", "Commodus", "Augustus", "Herculeus", "Romanus", and "Exsuperatorius".<ref>[https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cassius_Dio/73*.html#72-15.3 Dio Cassius 73.15.3].</ref> The emperor [[Marcus Claudius Tacitus|Tacitus]] is said to have ordered that September, the month of his birth and accession, be renamed after him, but the story is doubtful since he did not become emperor before November 275.<ref>Historia Augusta, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Historia_Augusta/Tacitus*.html#13.6 ''Tacitus'' 13.6]. On the chronology see [http://www.roman-emperors.org/tacitus.htm R. McMahon, ''Tacitus''.]</ref> Similar honorific month names were implemented in many of the provincial calendars that were aligned to the Julian calendar.<ref>Surveyed in K. Scott, ''Honorific Months'', Yale Classical Studies 2 (1931) 201–278.</ref>
Most Western European countries shifted the first day of their numbered year to [[1 January]] while they were still using the Julian calendar, ''before'' they adopted the Gregorian calendar, many during the [[sixteenth century]]. The following table shows the years in which various countries adopted [[1 January]] as the start of the year. Eastern European countries, with populations showing allegiance to the [[orthodoxy|Orthodox Church]], began the year on [[1 September]] from about [[988]].


Other name changes were proposed but were never implemented. [[Tiberius]] rejected a senatorial proposal to rename September as "Tiberius" and October as "Livius", after his mother Livia.<ref>Suetonius, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Suetonius/12Caesars/Tiberius*.html#26.2 ''Tiberius'' 26.2].</ref> [[Antoninus Pius]] rejected a senatorial decree renaming September as "Antoninus" and November as "Faustina", after [[Faustina the Elder|his empress]].<ref>Historia Augusta, [https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Historia_Augusta/Antoninus_Pius*.html#10 ''Antoninus Pius'' 10.1].</ref>
Note that as a consequence of change of New Year, 1 January 1751 to 24 March 1751 were non-existent dates in England.


===Charlemagne===
{| class="wikitable"
Much more lasting than the ephemeral month names of the post-Augustan Roman emperors were the [[Germanic calendar|Old High German names]] introduced by [[Charlemagne]]. According to his biographer, Einhard, Charlemagne renamed all of the months agriculturally in German.<ref>Einhard, [http://www.fordham.edu/halsall/basis/einhard.asp#Reforms ''Life of Charlemagne'', 29].</ref> These names were used until the 15th century, over 700 years after his rule, and continued, with some modifications, to be used as "traditional" month names until the late 18th century. The names (January to December) were: ''Wintarmanoth'' ("winter month"), ''Hornung'',<ref group=note>This name of February, the only name in the list without the "month" suffix, is explained by König, ''Festschrift Bergmann'' (1997), pp. 425 ff. as a collective of ''[[:wikt:horn|horn]]'', taken to refer to the antlers shed by [[red deer]] during this time. Older explanations compare the name with Old Frisian ''horning'' (Anglo-Saxon ''hornung-sunu'', Old Norse ''hornungr'') meaning "bastard, illegitimate son", taken to imply a meaning of "disinherited" in reference to February being the shortest of months.</ref> ''Lentzinmanoth'' ("spring month", "[[:wikt:Lent|Lent]] month"), ''Ostarmanoth'' ("[[:wikt:Easter|Easter]] month"), ''Wonnemanoth'' ("[[:wikt:Appendix:Proto-Germanic/wunjō|joy]]-month", a corruption of ''Winnimanoth'' "pasture-month"), ''Brachmanoth'' ("[[:wikt:Brache|fallow]]-month"), ''Heuuimanoth'' ("hay month"), ''Aranmanoth'' ("[[:wikt:earnian|reaping]] month"), ''Witumanoth'' ("wood month"), ''Windumemanoth'' ("vintage month"), ''Herbistmanoth'' ("harvest month"), and ''Heilagmanoth'' ("holy month").

===Eastern Europe===
The calendar month names used in western and northern Europe, in Byzantium, and by the [[Berber calendar#The months|Amazigh (Berbers)]], were derived from the Latin names. However, in eastern Europe older seasonal month names continued to be used into the 19th century, and in some cases are still in use, in many languages, including: [[Belarusian months|Belarusian]], [[Bulgarian months|Bulgarian]], [[Croatian months|Croatian]], [[Czech months|Czech]], Finnish,<ref>{{cite web |url=http://wordinfo.info/unit/3236/ip:23 |title=Calendar, Finnish |website=English-Word Information}}</ref> [[Georgian calendar|Georgian]], [[Lithuanian calendar#Names of the months|Lithuanian]], [[Macedonian months|Macedonian]], [[Polish months|Polish]], [[Romanian calendar#Traditional month names|Romanian]], [[Slovene months|Slovene]], [[Ukrainian months|Ukrainian]]. When the Ottoman Empire adopted the Julian calendar, in the form of the Rumi calendar, the [[Rumi calendar#History|month names]] reflected Ottoman tradition.

== Year numbering ==
The principal method used by the Romans to identify a year for dating purposes was to name it after the two consuls who took office in it, the eponymous period in question being the consular year. Beginning in 153&nbsp;BC, consuls began to take office on 1&nbsp;January, thus synchronizing the commencement of the consular and calendar years. The calendar year has begun in January and ended in December since about 450&nbsp;BC according to Ovid or since about 713&nbsp;BC according to Macrobius and Plutarch (see [[Roman calendar]]). Julius Caesar did not change the beginning of either the consular year or the calendar year. In addition to consular years, the Romans sometimes used the regnal year of the emperor, and by the late 4th&nbsp;century documents were also being dated according to the 15-year cycle of the [[indiction]]. In 537, [[Justinian I|Justinian]] required that henceforth the date must include the name of the emperor and his regnal year, in addition to the indiction and the consul, while also allowing the use of local [[Calendar era|eras]].

In 309 and 310, and from time to time thereafter, no consuls were appointed.<ref>{{cite web| url = http://www.tertullian.org/fathers/chronography_of_354_08_fasti.htm| title = Chronography of AD&nbsp;354.}}</ref> When this happened, the consular date was given a count of years since the last consul (called "post-consular" dating). After 541, only the reigning emperor held the consulate, typically for only one year in his reign, and so post-consular dating became the norm. Similar post-consular dates were also known in the west in the early 6th&nbsp;century. <!-- Commented out pending further research. [[User:Dojarca]] is up to 4th&nbsp;year of the consulate of [[Justinian II]] with no assurance he is the latest. --~~~~ The last known post-consular date is year&nbsp;22 after the consulate of [[Heraclius]].{{Verify source|date=August 2007}} The last emperor to hold the consulate was [[Constans II]]. --> The system of consular dating, long obsolete, was formally abolished in the law code of [[Leo VI the Wise|Leo&nbsp;VI]], issued in 888.

Only rarely did the Romans number the year from the [[founding of Rome|founding of the city (of Rome)]], {{lang|la|[[ab urbe condita]]}} (AUC). This method was used by Roman historians to determine the number of years from one event to another, not to date a year. Different historians had several different dates for the founding. The {{lang|la|[[Fasti]] Capitolini}}, an inscription containing an official list of the consuls which was published by Augustus, used an [[epoch (reference date)|epoch]] of 752&nbsp;BC. The epoch used by [[Marcus Terentius Varro|Varro]], 753&nbsp;BC, has been adopted by modern historians. Indeed, [[Renaissance]] editors often added it to the manuscripts that they published, giving the false impression that the Romans numbered their years. Most modern historians tacitly assume that it began on the day the consuls took office, and ancient documents such as the {{lang|la|Fasti Capitolini}} which use other AUC systems do so in the same way. However, Censorinus, writing in the 3rd&nbsp;century&nbsp;AD, states that, in his time, the AUC year began with the [[Parilia]], celebrated on 21&nbsp;April, which was regarded as the actual anniversary of the foundation of Rome.<ref>{{cite book |author=[[Censorinus]] |title=De Die Natali |at=21.6 |language=Latin |url=https://penelope.uchicago.edu/Thayer/L/Roman/Texts/Censorinus/text*.html#21.6}} Because the lively festivities associated with the [[Parilia]] conflicted with the solemnity of [[Lent]], which was observed until the Saturday before Easter Sunday, the early Roman church did not celebrate Easter after 21&nbsp;April.{{cite book |author=[[Bede]] |editor-first=Charles W. |editor-last=Jones |chapter=Development of the Latin ecclesiastical calendar |title=Bedae Opera de Temporibus |year=1943 |pages=1–122, esp.&nbsp;28}}</ref>

Many local eras, such as the Era of Actium and the [[Spanish Era]], were adopted for the Julian calendar or its local equivalent in the provinces and cities of the Roman Empire. Some of these were used for a considerable time.<ref>For a partial survey see {{cite book |first=A.E. |last=Samuel |year=1972 |title=Greek and Roman Chronology: Calendars and years in classical antiquity |place=Munich, DE |pages=245&nbsp;ff}} Samuel introduces his survey by saying: "The number of eras which came into use and then expired to be replaced by yet other eras during Hellenistic and Roman times is probably not infinite, but I have not been able to find the end of them." Anatolian eras are exhaustively surveyed in {{cite book |first=W. |last=Leschhorn |year=1993 |title=Antike Ären: Zeitrechnung, Politik und Geschichte im Schwarzmeerraum und in Kleinasien nördlich des Tauros |place=Stuttgart, DE |language=DE}}</ref> Perhaps the best known is the [[Era of Martyrs]], sometimes also called {{lang|la|Anno Diocletiani}} (after [[Diocletian]]), which was associated with the Alexandrian calendar and often used by the [[Alexandria]]n Christians to number their Easters during the 4th and 5th centuries, and continues to be used by the Coptic and [[Ethiopian Orthodox Church|Ethiopian]] churches.

In the eastern Mediterranean, the efforts of Christian chronographers such as [[Annianus of Alexandria]] to date the Biblical creation of the world led to the introduction of [[Anno Mundi]] eras based on this event.<ref>{{cite book |first=A.A. |last=Mosshammer |year=2008 |title=The Easter Computus and the Origins of the Christian Era |place=Oxford, UK |pages=27–29}}</ref> The most important of these was the [[Etos Kosmou]], used throughout the Byzantine world from the 10th century and in Russia until 1700. In the west, the kingdoms succeeding the empire initially used indictions and [[regnal year]]s, alone or in combination. The chronicler [[Prosper of Aquitaine]], in the fifth century, used an era dated from the [[Passion (Christianity)|Passion of Christ]], but this era was not widely adopted. [[Dionysius Exiguus]] proposed the system of [[Anno Domini]] in 525. This era gradually spread through the western Christian world, once the system was adopted by [[Bede]] in the eighth century.

The Julian calendar was also used in some Muslim countries. The [[Rumi calendar]], the Julian calendar used in the later years of the [[Ottoman Empire]], adopted an era derived from the lunar [[Islamic calendar|AH]] year equivalent to AD&nbsp;1840, i.e., the effective [[Rumi calendar|Rumi epoch]] was AD&nbsp;585. In recent years, some users of the [[Berber calendar#The computation of the years|Berber calendar]] have adopted an era starting in 950&nbsp;BC, the approximate date that the Libyan pharaoh {{nowrap|[[Sheshonq I]]}} came to power in Egypt.

== New Year's Day ==
The Roman calendar began the year on 1 January, and this remained the start of the year after the Julian reform. However, even after local calendars were aligned to the Julian calendar, they started the new year on different dates. The Alexandrian calendar in Egypt started on 29 August (30 August after an Alexandrian leap year). Several local provincial calendars were aligned to start on the birthday of Augustus, 23 September. The indiction caused the [[Byzantine Empire|Byzantine]] year, which used the Julian calendar, to begin on 1 September; this date is still used in the [[Eastern Orthodox Church]] for the beginning of the liturgical year. When the Julian calendar was adopted in AD&nbsp;988 by [[Vladimir I of Kiev]], the year was numbered Anno Mundi 6496, beginning on 1 March, six months after the start of the Byzantine Anno Mundi year with the same number. In 1492 (AM 7000), [[Ivan III]], according to church tradition, realigned the start of the year to 1 September, so that AM 7000 only lasted for six months in Russia, from 1 March to 31 August 1492.<ref>{{cite web| url = https://translate.google.com/translate?hl=en&sl=ru&u=http://grigam.narod.ru/kalend/kalen19.htm| title = История календаря в России и в СССР (Calendar history in Russia and in the USSR).}}</ref>

In Anglo-Saxon England, the year most commonly began on 25 December, which, as (approximately) the [[winter solstice]], had marked the start of the year in pagan times, though 25 March (the [[equinox]]) is occasionally documented in the 11th century. Sometimes the start of the year was reckoned as 24 September, the start of the so-called "western indiction" introduced by Bede.<ref>M. L. R. Beaven, "The Regnal Dates of Alfred, Edward the Elder, and Athelstan", English Historical Review 32 (1917) 517–531; idem, "The Beginning of the Year in the Alfredian Chronicle (866–87)", English Historical Review 33 (1918) 328–342.</ref> These practices changed after the Norman conquest. From 1087 to 1155 the English year began on 1 January, and from 1155 to 1751 it began on 25 March.<ref>Catholic Encyclopedia, [http://www.newadvent.org/cathen/03738a.htm#beginning General Chronology (Beginning of the Year)].</ref> In 1752 it was moved back to 1 January. (See [[Calendar (New Style) Act 1750|Calendar [New Style] Act 1750]]).

Even before 1752, 1 January was sometimes treated as the start of the new year&nbsp;– for example by Pepys<ref>[http://www.pepysdiary.com/archive/1661/12/31/index.php Pepys Diary], "I sat down to end my journell for this year, ..."</ref> – while the "year starting 25th March was called the Civil or Legal Year".<ref name=MS>Spathaky, Mike [http://www.cree.name/genuki/dates.htm Old Style and New Style dates and the change to the Gregorian calendar].</ref> To reduce misunderstandings on the date, it was not uncommon for a date between 1 January and 24 March to be written as "1661/62". This was to explain to the reader that the year was 1661 counting from March and 1662 counting from January as the start of the year.<ref name=MS-oblique-stroke>Spathaky, Mike [http://www.cree.name/genuki/dates.htm Old Style and New Style dates and the change to the Gregorian calendar]. "An oblique stroke is by far the most usual indicator, but sometimes the alternative final figures of the year are written above and below a horizontal line, as in a fraction (a form which cannot easily be reproduced here in ASCII text). Very occasionally a hyphen is used, as 1733{{hyphen}}34."</ref> (For more detail, see [[Dual dating]]).

{| class="wikitable sortable" style="margin:auto;"
|-
|-
! Country !! Year starting 1st January<ref>Mike Spathaky ''[http://www.genfair.com/dates.htm Old Style and New Style Dates and the change to the Gregorian Calendar: A summary for genealogists]''</ref>!!Adoption of the [[Gregorian calendar#Beginning of the year|Gregorian calendar]]
! Country !! Year starting<br />1 January<ref>[[John James Bond]], [https://archive.org/details/handybookrulesa01bondgoog "Commencement of the Year"], ''Handy-book of rules and tables for verifying dates with the Christian era'', (London: 1875), 91–101.</ref><ref>Mike Spathaky ''[http://www.cree.name/genuki/dates.htm Old Style and New Style Dates and the change to the Gregorian Calendar: A summary for genealogists.]''</ref> !!Adoption of<br /> new calendar
|-
|-
| [[Holy Roman Empire]]<ref group=note>The source has Germany, whose current area during the sixteenth century was a major part of the Holy Roman Empire, a religiously divided confederation. The source is unclear as to whether all or only parts of the country made the change. In general, Roman Catholic countries made the change a few decades before Protestant countries did.</ref>|| 1544<ref group=note>Previously began on 25 December, with possible exceptions</ref> || 1582
| [[Republic of Venice]] || [[1522]] || [[1582]]
|-
|-
| Spain, [[Portugal]] || 1556 || 1582
| [[Holy Roman Empire]]<ref>The source has Germany, whose current area during the sixteenth century was a major part of the Holy Roman Empire, a religiously divided confederation. The source is unclear as to whether all or only parts of the country made the change. In general, Roman Catholic countries made the change a few decades before Protestant countries did.</ref>|| [[1544]] || [[1582]]
|-
| [[Spain]], [[Portugal]] || [[1556]] || [[1582]]
|-
|-
| [[Prussia]], and [[Denmark]]|| [[1559]] || [[1700]]
| [[Prussia]], [[Denmark–Norway]]|| 1559 || 1700
|-
|-
| [[Sweden]] || [[1559]] || [[1753]]<ref>Sweden's conversion is complicated and took much of the first half of the 18{{th}} century see [[Gregorian calendar#Timeline|Gregorian calendar: Timeline]] for details</ref>
| Sweden || 1559 || 1753<ref group=note>Sweden started a conversion process in 1700, which was abandoned later that year due to the [[Great Northern War]], and in 1712 returned to the Julian calendar. In 1753 Sweden switched to the Gregorian calendar. See [[Swedish calendar]].</ref>
|-
|-
|France || [[Edict of Roussillon|1567]]<ref group=note>Previously began on Easter Sunday, with several exceptions such as Lyon on 25 December and Vienne on 25 March</ref> || 1582
| [[France]] || [[1564]] || [[1582]]
|-
|-
|[[Southern Netherlands]] || [[1576]]<ref>Per decree of [[16 June]] [[1575]]. Hermann Grotefend, "[http://www.manuscripta-mediaevalia.de/gaeste/grotefend/g_o.htm#Osteranfang Osteranfang]" (Easter beginning), ''[http://www.manuscripta-mediaevalia.de/gaeste/grotefend/grotefend.htm Zeitrechnung de Deutschen Mittelalters und der Neuzeit]'' (Chronology of the German Middle Ages and modern times) (1891-1898)</ref> || [[1582]]
|[[Southern Netherlands]] || 1576<ref>Per decree of 16 June 1575. Hermann Grotefend, "[http://www.manuscripta-mediaevalia.de/gaeste/grotefend/g_o.htm#Osteranfang Osteranfang]" (Easter beginning), ''[http://www.manuscripta-mediaevalia.de/gaeste/grotefend/grotefend.htm Zeitrechnung de Deutschen Mittelalters und der Neuzeit]'' (Chronology of the German Middle Ages and modern times) (1891–1898).</ref> || 1582
|-
|-
| [[Lorraine (province)|Lorraine]] || [[1579]] || [[1760]]
| [[Lorraine (province)|Lorraine]] || 1579 || 1760
|-
|-
| [[Holland]], [[Zeeland]] || 1583 || 1582
| [[Dutch Republic|United Provinces]] of the Netherlands || [[1583]] || [[1582]] (Holland and Zeeland), [[1700]] (other provinces)
|-
|-
| [[Kingdom of Scotland|Scotland]] || [[1600]] || [[1752]]
| [[Dutch Republic]] except [[Holland]] and [[Zeeland]] || 1583 || 1700
|-
|-
| [[Kingdom of Scotland|Scotland]] || 1600<ref group=note>Previously began on 25 March from 1155</ref> || 1752
| [[Russia]] || [[1700]] <!--(not 1725)--> || [[1918]]
|-
|-
| Russia || 1700<ref group=note>Previously began on 1 March from 988 until 1492, and 1 September from 1492</ref> || 1918
| [[Tuscany]] || [[1721]] || [[1750]]
|-
|-
| [[Grand Duchy of Tuscany|Tuscany]] || 1750<ref>Alexandre Dumas, [https://archive.org/details/storiadelgoverno00duma/page/201 <!-- quote=toscana 1750 calendario gregoriano. --> Storia del governo della Toscana: sotto La casa de'Medici].</ref><ref>[https://www.florencewithguide.com/it/blog-it/il-calendario-fiorentino/ Il calendario fiorentino].</ref> || 1582<ref>Lorenzo Cattini, [https://books.google.com/books?id=v--l2PRjuJQC Legislazione toscana raccolta e illustrata], vol. 10, p. 208.</ref>
| [[England]] || [[1752]] || [[1752]]
|-
| [[British Empire]] excluding [[Scotland]]|| 1752<ref group=note>Previously began on 25 March from 1155</ref> || 1752<ref group=note>1751 in England only lasted from 25 March to 31 December. The dates 1 January to 24 March which would have concluded 1751 under the old calendar became part of 1752 when the beginning of the numbered year was changed from 25 March to 1 January.</ref>
|-
| [[Republic of Venice]] || 1522<ref group=note>Previously began on 1 March</ref> || 1582
|-
| [[Serbia]] || 1804{{Citation needed|date=January 2008}} || 1918
|-
| [[Ottoman Empire]] || 1918 || 1917<ref group=note>See [[Rumi calendar]] for details. It is often stated that Turkey adopted the Gregorian calendar in 1926 or 1927: in fact this is when it adopted the AD/CE [[epoch]].</ref>
|}
|}


==From Julian to Gregorian==
== Replacement by the Gregorian calendar ==
{{Main|Adoption of the Gregorian calendar}}
The Julian calendar was in general use in Europe and Northern Africa from the times of the [[Roman Empire]] until 1582, when [[Pope Gregory XIII]] promulgated the [[Gregorian Calendar]]. Reform was required because too many leap days are added with respect to the astronomical seasons on the Julian scheme. On average, the astronomical [[solstice]]s and the [[equinox]]es advance by about 11 minutes per year against the Julian year. As a result, the calculated date of [[Easter]] gradually moved out of phase with the moon. While [[Hipparchus]] and presumably [[Sosigenes]] were aware of the discrepancy, although not of its correct value, it was evidently felt to be of little importance at the time of the Julian reform. However, it accumulated significantly over time: the Julian calendar gained a day about every 134 years. By 1582, it was ten days out of alignment.
The Julian calendar [[Adoption of the Gregorian calendar|has been replaced]] as the [[civil calendar]] by the [[Gregorian calendar]] in all countries which officially used it. Bulgaria adopted it on [[Dual Dating|31 March/14 April 1916]]. Turkey switched (for fiscal purposes) on [[Dual Dating|16 February/1 March 1917]]. Russia changed on 1/14 February 1918.<ref>{{cite web|url=https://secure.ssa.gov/poms.nsf/lnx/0200307180|last=Social Security Administration|title=GN 00307.180 Gregorian/Julian calendar|date=26 August 2005|access-date=27 July 2016|quote=Although the Russian authorities officially changed calendars in 1918, individual registrars particularly in remote areas continued to use the old calendar for as long as ten years.}}</ref> Greece made the change for civil purposes on 16 February/1 March 1923, but the national day (25 March) was to remain on the old calendar. Most [[Christian denomination]]s in the west and areas evangelised by western churches have made the change to Gregorian for their [[liturgical calendar]]s to align with the civil calendar.


A calendar similar to the Julian one, the [[Alexandrian calendar]], is the basis for the [[Ethiopian calendar]], which is still the civil calendar of Ethiopia. Egypt converted from the Alexandrian calendar to Gregorian on 1 Thaut 1592/11 September 1875.<ref>[https://books.google.com/books?id=4llHAQAAIAAJ&dq=Beardsley+Fish+1875+1348&pg=PA1348 Papers Relating to the Foreign Relations of the United States, vol. 2, pp. 1348–1349].</ref>
The [[Gregorian Calendar]] was soon adopted by most Catholic countries (e.g. Spain, Portugal, Poland, most of Italy). Protestant countries followed later, and the countries of Eastern Europe even later. In the [[British Empire]] (including the [[United States|American colonies]]), Wednesday [[2 September]] [[1752]] was followed by Thursday [[14 September]] [[1752]]. For 12 years from [[1700]] [[Sweden]] used a [[Swedish calendar|modified Julian Calendar]], and adopted the new-style calendar in [[1753]], but [[Russia]] remained on the Julian calendar until [[1917]], after the [[Russian Revolution of 1917|Russian Revolution]] (which is thus called the '[[October Revolution]]' though it occurred in Gregorian November), while [[Greece]] continued to use it until [[1923]]. During this time the Julian calendar continued to diverge from the Gregorian. In 1700 the difference became 11 days; in 1800, 12; and in 1900, 13, where it will stay till 2100.


During the changeover between calendars and for some time afterwards, [[dual dating]] was used in documents and gave the date according to both systems. In contemporary as well as modern texts that describe events during the period of change, it is customary to clarify to which calendar a given date refers by using an [[Old Style and New Style dates|O.S. or N.S. suffix]] (denoting Old Style, Julian or New Style, Gregorian).
Although all [[Eastern Orthodox Church|Eastern Orthodox]] countries (most of them in [[Eastern Europe|Eastern]] or [[Southeastern Europe]]) had adopted the Gregorian calendar by 1927, their national churches had not. A [[revised Julian calendar]] was proposed during a synod in [[Constantinople]] in May 1923, consisting of a solar part which was and will be identical to the Gregorian calendar until the year 2800, and a lunar part which calculated Easter astronomically at [[Jerusalem]]. All Orthodox churches refused to accept the lunar part, so almost all Orthodox churches continue to celebrate Easter according to the Julian calendar (the [[Finnish Orthodox Church]] uses the Gregorian Easter).


=== Transition history ===
The solar part of the revised Julian calendar was accepted by only some Orthodox churches. Those that did accept it, with hope for improved dialogue and negotiations with the Western denominations, were the Ecumenical Patriarchate of [[Orthodox Church of Constantinople|Constantinople]], the Patriarchates of [[Orthodox Church of Alexandria|Alexandria]], [[Orthodox Church of Antioch|Antioch]], the Orthodox Churches of [[Church of Greece|Greece]], [[Orthodox Church of Cyprus|Cyprus]], [[Romanian Orthodox Church|Romania]], [[Polish Orthodox Church|Poland]], [[Bulgarian Orthodox Church|Bulgaria]] (the last in 1963), and the [[Orthodox Church in America]] (although some OCA parishes are permitted to use the Julian calendar). Thus these churches celebrate the Nativity on the same day that Western Christians do, [[25 December]] Gregorian until 2800. The Orthodox Churches of [[Orthodox Church of Jerusalem|Jerusalem]], [[Russian Orthodox Church|Russia]], [[Macedonian Orthodox Church|Macedonia]], [[Serbian Orthodox Church|Serbia]], [[Georgian Orthodox and Apostolic Church|Georgia]], [[History of Christianity in Ukraine|Ukraine]], and the [[Greek Old Calendarists]] continue to use the Julian calendar for their fixed dates, thus they celebrate the Nativity on [[25 December]] Julian (which is [[7 January]] Gregorian until 2100).
{{See also|Adoption of the Gregorian calendar|Old Style and New Style dates}}
In 1582, [[Pope Gregory XIII]] promulgated the [[Gregorian calendar]]. Reform was required as the Julian calendar year, with an average length of 365.25 days, was longer than the natural [[tropical year]]. On average, the astronomical solstices and the equinoxes advance by 10.8 minutes per year against the Julian calendar year. As a result, 21 March (which is the base date for [[Computus|calculating the date of Easter]]) gradually moved out of alignment with the March equinox.
[[File:Julian to Gregorian Date Change.png|thumb|In 1582 when Roman Catholic countries such as Spain adopted the Gregorian calendar, ten days were omitted from the month of October.]]
While Hipparchus and presumably [[Sosigenes of Alexandria|Sosigenes]] were aware of the discrepancy, although not of its correct value,{{sfn|Richards|1998|page=216}} it was evidently felt to be of little importance at the time of the Julian reform (46&nbsp;BC). However, it accumulated significantly over time: the Julian calendar gained a day every 128 years. By 1582, 21 March was ten days out of alignment with the March equinox, the date where it was reckoned to have been in 325, the year of the [[First Council of Nicaea|Council of Nicaea]].


Since the Julian and Gregorian calendars were long used simultaneously, although in different places, calendar dates in the transition period are often ambiguous, unless it is specified which calendar was being used. In some circumstances, double dates might be used, one in each calendar. The notation [[Old Style and New Style dates|"Old Style" (O.S.)]] is sometimes used to indicate a date in the Julian calendar, as opposed to [[Old Style and New Style dates|"New Style" (N.S.)]], which either represents the Gregorian date or the Julian date with the start of the year as 1 January. This notation is used to clarify dates from countries that continued to use the Julian calendar after the Gregorian reform, such as Great Britain, which did not adopt the reformed calendar until 1752, or Russia, which did not do so until 1918 (see [[Soviet calendar]]). This is why the Russian Revolution of 7 November 1917 N.S. is known as the [[October Revolution]], because it began on 25 October O.S.
In Northern Africa, the Julian calendar (the [[Berber calendar]]) is still in use for agricultural purposes, and is called فلاحي ''fellāhī'' "peasant" or sاﻋﺠﻤﻲ ''a<small><sup>c</sup></small>jamī'' "not Arabic". The first of ''yennayer'' currently corresponds to January 14 and will do until 2100.


==See also==
== Modern usage ==
=== Eastern Orthodox ===
* [[Gregorian calendar]]
{{See also|New Calendarists}}[[File:Bogojavlenie.jpg|thumb|250px|[[Russian icon]] of the [[Epiphany (feast)|Theophany]] (the baptism of Jesus by [[John the Baptist]]) (6 January), the highest-ranked feast which occurs on the fixed cycle of the [[Eastern Orthodox liturgical calendar]]]]

Although most [[Eastern Orthodox Church|Eastern Orthodox]] countries (most of them in [[Eastern Europe|eastern]] or southeastern Europe) had adopted the Gregorian calendar by 1924, their national churches had not. The "[[Revised Julian calendar]]" was endorsed by a [[synod]] in [[Constantinople]] in May 1923, consisting of a solar part which was and will be identical to the Gregorian calendar until the year 2800, and a lunar part which calculated Easter astronomically at [[Jerusalem]]. All Eastern Orthodox churches refused to accept the lunar part, so all Orthodox churches continue to celebrate Easter according to the Julian calendar, with the exception of the [[Finnish Orthodox Church]]<ref>Bishop Photius of Triaditsa, [http://orthodoxinfo.com/ecumenism/photii_2.aspx "The 70th Anniversary of the Pan-Orthodox Congress, Part II of II"]; {{cite web
|url=http://www.hs.fi/english/article/Moscow-affiliated+Russian+Orthodox+church+grows+in+Helsinki/1135230488329
|date=21 September 2007
|title=HELSINGIN SANOMAT (International edition)
|access-date=11 May 2010
|archive-date=14 July 2014
|archive-url=https://web.archive.org/web/20140714150231/http://www.hs.fi/english/article/Moscow-affiliated+Russian+Orthodox+church+grows+in+Helsinki/1135230488329
|url-status=dead
}}</ref> (the [[Estonian Apostolic Orthodox Church|Estonian Orthodox Church]] was also an exception from 1923 to 1945<ref>{{cite web| url = http://antimodern.files.wordpress.com/2011/06/communique-de-presse.pdf| title = Communiqué du Bureau de Presse de l'Eglise Orthodoxe d'Estonie}}</ref>).

The Orthodox Churches of [[Eastern Orthodox Patriarchate of Jerusalem|Jerusalem]], [[Russian Orthodox Church|Russia]], [[Serbian Orthodox Church|Serbia]], [[Montenegrin Orthodox Church|Montenegro]], Poland (from 15 June 2014), [[Macedonian Orthodox Church – Ohrid Archbishopric|North Macedonia]], [[Georgian Orthodox and Apostolic Church|Georgia]], and the [[Greek Old Calendarists]] and other groups continue to use the Julian calendar, thus they celebrate the Nativity on 25 December ''Julian'' (which is 7 January ''Gregorian'' until 2100). The [[Russian Orthodox Church]] has some parishes in the West that celebrate the Nativity on 25 December ''Gregorian'' until 2799.{{Citation needed|date=June 2023}}

The [[Orthodox Church of Ukraine]] announced in late May 2023 that they would use the Gregorian calendar to celebrate Christmas on December 25, 2023, partly in reflection to [[Russia]]'s [[Russian invasion of Ukraine|invasion of the country]] in early 2022.<ref>[https://religionnews.com/2023/06/16/after-calendar-change-many-in-ukraine-are-looking-forward-to-a-new-christmas/ After calendar change, many in Ukraine are looking forward to a new Christmas] Religion News, David I. Klein, June 16, 2023</ref>

==== Date of Easter ====
Most branches of the [[Eastern Orthodox Church]] use the Julian calendar for [[Computus|calculating the date of Easter]], upon which the timing of all the other [[moveable feast]]s depends. Some such churches have adopted the [[Revised Julian calendar]] for the observance of [[fixed feast]]s, while such Orthodox churches retain the Julian calendar for all purposes.<ref>[http://www.oikoumene.org/en/resources/documents/commissions/faith-and-order/i-unity-the-church-and-its-mission/towards-a-common-date-for-easter/index Towards a Common Date of Easter.] {{Webarchive|url=https://web.archive.org/web/20170620205601/http://www.oikoumene.org/en/resources/documents/commissions/faith-and-order/i-unity-the-church-and-its-mission/towards-a-common-date-for-easter/index |date=2017-06-20 }} (5–10 March). World Council of Churches/Middle East Council of Churches Consultation, Aleppo, Syria.</ref>

===Syriac Christianity===
The [[Ancient Assyrian Church of the East]], an [[East Syriac]] rite that is commonly miscategorised under "eastern Orthodox", uses the Julian calendar, where its participants celebrate Christmas on 7 January ''Gregorian'' (which is 25 December ''Julian''). The [[Assyrian Church of the East]], the church it split from in 1968 (the replacement of traditional Julian calendar with Gregorian calendar being among the reasons), uses the Gregorian calendar ever since the year of the [[schism]].<ref>[https://theorthodoxchurch.info/blog/news/the-quest-for-orthodox-assyrian-alliance/ The Quest for Orthodox–Assyrian Alliance] {{Webarchive|url=https://web.archive.org/web/20210502080754/https://theorthodoxchurch.info/blog/news/the-quest-for-orthodox-assyrian-alliance/ |date=2021-05-02 }} Orthodoxy Cognate PAGE</ref>

=== Oriental Orthodox ===
The [[Armenian Patriarchate of Jerusalem]] of [[Armenian Apostolic Orthodox Church]] uses Julian calendar, while the rest of Armenian Church uses Gregorian calendar. Both celebrate the Nativity as part of the Feast of [[Epiphany (holiday)|Theophany]] according to their respective calendar.<ref>{{Cite web|url=https://www.peopleofar.com/2015/01/07/armenians-celebrate-christmas-january-6th/|title=Armenian Christmas on January 6th|last=Reply|first=hairabed|date=2015-01-07|website=PeopleOfAr|language=en-US|access-date=2018-12-21}}</ref>

=== Berbers ===
The Julian calendar is still used by the [[Berbers]] of the [[Maghreb]] in the form of the [[Berber calendar]].<ref>{{cite journal|title=The manipulation of time: Calendars and power in the Sahara|first=Clare|last=Oxby|journal=Nomadic Peoples |series=New Series|volume=2|issue=1/2|year=1998|pages=137–149|doi=10.3167/082279498782384522|jstor=43123542}}</ref>

=== Foula ===
[[Foula]] in [[Shetland]], [[Scotland]], a small settlement on a remote island of the archipelago, still celebrates festivities according to the Julian calendar.<ref>{{cite news |last1=Merritt |first1=Mike |title=Remote Foula islanders finally get to celebrate Christmas |url=https://www.thetimes.co.uk/article/remote-foula-islanders-finally-get-to-celebrate-christmas-lcjlrn56m |date=27 December 2023 |language=en}}</ref>

== See also ==
* [[Byzantine calendar]]
* [[Conversion between Julian and Gregorian calendars]]
* [[Julian day]]
* [[Julian day]]
* [[Julian year (astronomy)]]
* [[Julian year (astronomy)]]
* [[List of adoption dates of the Gregorian calendar per country]]
* [[Old Style and New Style dates]]
* [[Mixed-style date]]
* [[Old New Year]]
* [[Proleptic Gregorian calendar]]
* [[Proleptic Julian calendar]]
* [[Proleptic Julian calendar]]
* [[Roman calendar]]
* [[Revised Julian calendar]]
* [[Roman timekeeping]]
* [[Week]]
* [[Week]]


==Notes==
== Notes ==
{{notelist}}
{{reflist|group=note}}

== References ==
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See Wikipedia:Footnotes for a discussion of different citation methods and how to generate footnotes using the <ref>,</ref> and <reference /> tags
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methods and how to generate footnotes using the <ref>, </ref>
{{reflist}}
and <reference /> tags
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== General and cited references ==
==External links==
* Bonnie Blackburn and Leofranc Holford-Strevens, ''The Oxford Companion to the Year'', Oxford University Press, reprinted with corrections 2003.
* [http://webexhibits.org/calendars/index.html Calendars through the ages] on WebExhibits.
* {{cite book
*[http://www.tondering.dk/claus/calendar.html Calendar FAQ]
|title=Le Calendrier romain: Recherches chronologiques
* [http://www.tyndale.cam.ac.uk/Egypt/ptolemies/chron/roman/chron_rom_cal.htm Roman Dates]
|date=1983
|publisher=Ottawa University Press
|last1=Brind'Amour
|first1=Pierre
}}
* {{cite web | date = 2008 | url = https://ethiopianembassy.org/ethiopian-time/ | title = Ethiopian Time | publisher = Embassy of Ethiopia | location = Washington D.C.}}
* {{cite book
|title=Caesar's Calendar: Ancient Time and the Beginnings of History
|url=https://archive.org/details/caesarscalendara0000feen
|url-access=registration
|date=2007
|publisher=University of California Press
|location=Berkeley
|last1=Feeney
|first1=Dennis|isbn=9780520251199
}}
* {{cite book
|title=The Roman Calendar from Numa to Constantine: Time, History and the Fasti
|date=2011
|publisher=Wiley
|last1=Rüpke
|first1=Jörg}}
* {{cite book
|title=Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac
|author=Nautical Almanac Offices of the United Kingdom and the United States of America
|publisher=Her Majesty's Stationery Office
|date=1961
|location=London}}
* {{cite book
| publisher = Oxford University Press
| isbn = 978-0-19-286205-1
| last = Richards
| first = E. G
| title = Mapping Time: The Calendar and its History
| url = https://archive.org/details/mappingtimecalen00rich
| url-access = registration
| date = 1998
}}
* {{cite book
| last1 = Richards | first1 = E. G.
| editor-last1 = Urban | editor-first1 = Sean E.
| editor-last2 = Seidelmann | editor-first2 = P. Kenneth
| edition = 3rd
| publisher = University Science Books
| isbn = 978-1-891389-85-6
| title = Explanatory Supplement to the Astronomical Almanac
| location = Mill Valley, Calif
| date = 2013
}}
* {{cite book
|last1=Stern
|first1=Sacha
|title=Calendars in Antiquity: Empires, States and Societies
|date=2012
|publisher=Oxford University Press}}

== Further reading ==
* [https://www.webexhibits.org//calendars/index.html Calendars through the ages] on WebExhibits
* [http://penelope.uchicago.edu/~grout/encyclopaedia_romana/calendar/romancalendar.html The Roman Calendar]
* [http://penelope.uchicago.edu/~grout/encyclopaedia_romana/calendar/romancalendar.html The Roman Calendar]

* [http://5ko.free.fr/en/jul.php Synoptical Julian-Gregorian Calendar] - compare the Julian and Gregorian calendars for any date between 1582 and 2100 using this side-by-side reference.
== External links ==
* [http://www.guernsey.net/~sgibbs/roman.html Date Conversion]
{{Wiktionary|evenly divisible}}
* [http://www.fourmilab.ch/documents/calendar/#juliancalendar Calendar Converter] &mdash; converts between several calendars, for example Gregorian, Julian, Mayan, Persian, Hebrew
{{Commons|Julian calendar}}
* [https://www.fourmilab.ch/documents/calendar/#juliancalendar Calendar Converter] – converts between several calendars, for example Gregorian, Julian, Mayan, Persian, Hebrew
* [https://ponomar.net/cgi-bin/menologion.cgi Orthodox Calendar]

{{Calendars}}
{{Ancient Rome topics}}
{{Time Topics}}
{{Time measurement and standards}}
{{Chronology}}
{{Authority control}}


[[Category:Julian calendar| ]]
[[Category:Julian calendar| ]]
[[Category:Eastern Orthodox liturgy]]
[[Category:Liturgical calendars]]
[[Category:Roman calendar]]
[[Category:Roman calendar]]
[[Category:Specific calendars]]
[[Category:1st-century BC establishments in the Roman Republic]]
[[Category:40s BC establishments]]

[[als:Julianischer Kalender]]
[[ar:تقويم يولياني]]
[[be-x-old:Юліянскі каляндар]]
[[bs:Julijanski kalendar]]
[[br:Deiziadur juluan]]
[[bg:Юлиански календар]]
[[ca:Calendari julià]]
[[cv:Юлиан календарĕ]]
[[cs:Juliánský kalendář]]
[[da:Julianske kalender]]
[[de:Julianischer Kalender]]
[[et:Juliuse kalender]]
[[el:Ιουλιανό ημερολόγιο]]
[[es:Calendario juliano]]
[[eo:Julia kalendaro]]
[[fo:Julianski kalendarin]]
[[fr:Calendrier julien]]
[[gl:Calendario xuliano]]
[[ko:율리우스력]]
[[hr:Julijanski kalendar]]
[[io:Juliana kalendario]]
[[id:Kalender Julian]]
[[is:Júlíska tímatalið]]
[[it:Calendario giuliano]]
[[he:הלוח היוליאני]]
[[sw:Kalenda ya Juliasi]]
[[ht:Almanak jilyen]]
[[ku:Salnameya Julian]]
[[la:Calendarium Iulianum]]
[[lb:Julianesche Kalenner]]
[[lt:Julijaus kalendorius]]
[[hu:Julián naptár]]
[[ms:Takwim Julius]]
[[nl:Juliaanse kalender]]
[[ja:ユリウス暦]]
[[no:Juliansk kalender]]
[[nn:Den julianske kalenderen]]
[[pl:Kalendarz juliański]]
[[pt:Calendário juliano]]
[[ro:Calendarul iulian]]
[[ru:Юлианский календарь]]
[[sq:Kalendari Julian]]
[[simple:Julian calendar]]
[[sk:Juliánsky kalendár]]
[[sl:Julijanski koledar]]
[[sr:Јулијански календар]]
[[fi:Juliaaninen kalenteri]]
[[sv:Julianska kalendern]]
[[ta:யூலியின் நாட்காட்டி]]
[[th:ปฏิทินจูเลียน]]
[[vi:Lịch Julius]]
[[tr:Jülyen takvimi]]
[[uk:Юліанський календар]]
[[zh-yue:儒畧曆]]
[[zh:儒略曆]]

Latest revision as of 06:58, 22 December 2024

Calendar Today
Gregorian 23 December 2024
Julian 10 December 2024

The Julian calendar is a solar calendar of 365 days in every year with an additional leap day every fourth year (without exception). The Julian calendar is still used as a religious calendar in parts of the Eastern Orthodox Church and in parts of Oriental Orthodoxy as well as by the Amazigh people (also known as the Berbers).[1]

The Julian calendar was proposed in 46 BC by (and takes its name from) Julius Caesar, as a reform of the earlier Roman calendar, which was largely a lunisolar one.[2] It took effect on 1 January 45 BC, by his edict. Caesar's calendar became the predominant calendar in the Roman Empire and subsequently most of the Western world for more than 1,600 years, until 1582 when Pope Gregory XIII promulgated a revised calendar.

The Julian calendar has two types of years: a normal year of 365 days and a leap year of 366 days. They follow a simple cycle of three normal years and one leap year, giving an average year that is 365.25 days long. That is more than the actual solar year value of approximately 365.2422 days (the current value, which varies), which means the Julian calendar gains one day every 129 years. In other words, the Julian calendar gains 3.1 days every 400 years.

Gregory's calendar reform modified the Julian rule, to reduce the average length of the calendar year from 365.25 days to 365.2425 days and thus corrected the Julian calendar's drift against the solar year: the Gregorian calendar gains just 0.1 day over 400 years. For any given event during the years from 1901 through 2099, its date according to the Julian calendar is 13 days behind its corresponding Gregorian date (for instance Julian 1 January falls on Gregorian 14 January). Most Catholic countries adopted the new calendar immediately; Protestant countries did so slowly in the course of the following two centuries or so; most Orthodox countries retain the Julian calendar for religious purposes but adopted the Gregorian as their civil calendar in the early part of the twentieth century.

Table of months

Months (Roman) Lengths before 46 BC Length in 46 BC Lengths as of 45 BC Months (English)
Ianuarius[3] 29 29 31 January
Februarius 28 (in common years)
In intercalary years:
23 if Intercalaris is variable
23–24 if Intercalaris is fixed
28 28 (leap years: 29) February
Intercalaris (Mercedonius)
(only in intercalary years)
27 (or possibly 27–28) 23
Martius 31 31 31 March
Aprilis 29 29 30 April
Maius 31 31 31 May
Iunius[3] 29 29 30 June
Quintilis[4] (Iulius) 31 31 31 July
Sextilis (Augustus) 29 29 31 August
September 29 29 30 September
October 31 31 31 October
2nd intercalary 33
3rd intercalary 34
November 29 29 30 November
December 29 29 31 December
Total 355 or 377–378 445 365–366 365–366

History

Motivation

The ordinary year in the previous Roman calendar consisted of 12 months, for a total of 355 days. In addition, a 27- or 28-day intercalary month, the Mensis Intercalaris, was sometimes inserted between February and March. This intercalary month was formed by inserting 22 or 23 days after the first 23 days of February; the last five days of February, which counted down toward the start of March, became the last five days of Intercalaris. The net effect was to add 22 or 23 days to the year, forming an intercalary year of 377 or 378 days.[5] Some say the mensis intercalaris always had 27 days and began on either the first or the second day after the Terminalia (23 February).[6]

If managed correctly this system could have allowed the Roman year to stay roughly aligned to a tropical year. However, since the pontifices were often politicians, and because a Roman magistrate's term of office corresponded with a calendar year, this power was prone to abuse: a pontifex could lengthen a year in which he or one of his political allies was in office, or refuse to lengthen one in which his opponents were in power.[7]

Caesar's reform was intended to solve this problem permanently, by creating a calendar that remained aligned to the sun without any human intervention. This proved useful very soon after the new calendar came into effect. Varro used it in 37 BC to fix calendar dates for the start of the four seasons, which would have been impossible only 8 years earlier.[8] A century later, when Pliny dated the winter solstice to 25 December because the sun entered the 8th degree of Capricorn on that date,[9] this stability had become an ordinary fact of life.

Context of the reform

Although the approximation of 365+14 days for the tropical year had been known for a long time,[10] ancient solar calendars had used less precise periods, resulting in gradual misalignment of the calendar with the seasons.

The octaeteris, a cycle of eight lunar years popularised by Cleostratus (and also commonly attributed to Eudoxus) which was used in some early Greek calendars, notably in Athens, is 1.53 days longer than eight mean Julian years. The length of nineteen years in the cycle of Meton was 6,940 days, six hours longer than the mean Julian year. The mean Julian year was the basis of the 76-year cycle devised by Callippus (a student under Eudoxus) to improve the Metonic cycle.

In Persia (Iran) after the reform in the Persian calendar by introduction of the Persian Zoroastrian (i. e. Young Avestan) calendar in 503 BC and afterwards, the first day of the year (1 Farvardin=Nowruz) slipped against the vernal equinox at the rate of approximately one day every four years.[11][12]

Likewise in the Egyptian calendar, a fixed year of 365 days was in use, drifting by one day against the sun in four years. An unsuccessful attempt to add an extra day every fourth year was made in 238 BC (Decree of Canopus). Caesar probably experienced this "wandering" or "vague" calendar in that country. He landed in the Nile delta in October 48 BC and soon became embroiled in the Ptolemaic dynastic war, especially after Cleopatra managed to be "introduced" to him in Alexandria.

Caesar imposed a peace, and a banquet was held to celebrate the event.[13] Lucan depicted Caesar talking to a wise man called Acoreus during the feast, stating his intention to create a calendar more perfect than that of Eudoxus[13] (Eudoxus was popularly credited with having determined the length of the year to be 365+14 days).[14] But the war soon resumed and Caesar was attacked by the Egyptian army for several months until he achieved victory. He then enjoyed a long cruise on the Nile with Cleopatra before leaving the country in June 47 BC.[15]

Caesar returned to Rome in 46 BC and, according to Plutarch, called in the best philosophers and mathematicians of his time to solve the problem of the calendar.[16] Pliny says that Caesar was aided in his reform by the astronomer Sosigenes of Alexandria[17] who is generally considered the principal designer of the reform. Sosigenes may also have been the author of the astronomical almanac published by Caesar to facilitate the reform.[18] Eventually, it was decided to establish a calendar that would be a combination between the old Roman months, the fixed length of the Egyptian calendar, and the 365+14 days of Greek astronomy. According to Macrobius, Caesar was assisted in this by a certain Marcus Flavius.[19]

Adoption of the Julian calendar

Caesar's reform only applied to the Roman calendar. However, in the following decades many of the local civic and provincial calendars of the empire and neighbouring client kingdoms were aligned to the Julian calendar by transforming them into calendars with years of 365 days with an extra day intercalated every four years.[20][21] The reformed calendars typically retained many features of the unreformed calendars. In many cases, the New Year was not on 1 January, the leap day was not on the traditional bissextile day, the old month names were retained, the lengths of the reformed months did not match the lengths of Julian months, and, even if they did, their first days did not match the first day of the corresponding Julian month. Nevertheless, since the reformed calendars had fixed relationships to each other and to the Julian calendar, the process of converting dates between them became quite straightforward, through the use of conversion tables known as "hemerologia".[22]

The three most important of these calendars are the Alexandrian calendar and the Ancient Macedonian calendar─which had two forms: the Syro-Macedonian and the 'Asian' calendars. Other reformed calendars are known from Cappadocia, Cyprus and the cities of (Roman) Syria and Palestine. Unreformed calendars continued to be used in Gaul (the Coligny calendar), Greece, Macedon, the Balkans and parts of Palestine, most notably in Judea.

The Asian calendar was an adaptation of the Ancient Macedonian calendar used in the Roman province of Asia and, with minor variations, in nearby cities and provinces. It is known in detail through the survival of decrees promulgating it issued in 8 BC by the proconsul Paullus Fabius Maximus. It renamed the first month Dios as Kaisar, and arranged the months such that each month started on the ninth day before the kalends of the corresponding Roman month; thus the year began on 23 September, Augustus's birthday.

Julian reform

Realignment of the year

The Tusculum portrait of Julius Caesar

The first step of the reform was to realign the start of the calendar year (1 January) to the tropical year by making 46 BC 445 days long, compensating for the intercalations which had been missed during Caesar's pontificate. This year had already been extended from 355 to 378 days by the insertion of a regular intercalary month in February. When Caesar decreed the reform, probably shortly after his return from the African campaign in late Quintilis (July), he added 67 more days by inserting two extraordinary intercalary months between November and December.[note 1]

These months are called Intercalaris Prior and Intercalaris Posterior in letters of Cicero written at the time; there is no basis for the statement sometimes seen that they were called "Undecimber" and "Duodecimber", terms that arose in the 18th century over a millennium after the Roman Empire's collapse.[note 2] Their individual lengths are unknown, as is the position of the Nones and Ides within them.[23]

Because 46 BC was the last of a series of irregular years, this extra-long year was, and is, referred to as the "last year of confusion". The new calendar began operation after the realignment had been completed, in 45 BC.[24]

Months

The Julian months were formed by adding ten days to a regular pre-Julian Roman year of 355 days, creating a regular Julian year of 365 days. Two extra days were added to January, Sextilis (August) and December, and one extra day was added to April, June, September, and November. February was not changed in ordinary years, and so continued to be the traditional 28 days. Thus, the ordinary (i.e., non-leap year) lengths of all of the months were set by the Julian calendar to the same values they still hold today.

The Julian reform did not change the method used to account days of the month in the pre-Julian calendar, based on the Kalends, Nones and Ides, nor did it change the positions of these three dates within the months. Macrobius states that the extra days were added immediately before the last day of each month to avoid disturbing the position of the established religious ceremonies relative to the Nones and Ides of the month.[25]

The inserted days were all initially characterised as dies fasti (F – see Roman calendar).[26] The character of a few festival days was changed. In the early Julio-Claudian period a large number of festivals were decreed to celebrate events of dynastic importance, which caused the character of the associated dates to be changed to NP. However, this practice was discontinued around the reign of Claudius, and the practice of characterising days fell into disuse around the end of the first century AD: the Antonine jurist Gaius speaks of dies nefasti as a thing of the past.[27]

Intercalation

The old intercalary month was abolished. The new leap day was dated as ante diem bis sextum Kalendas Martias ('the sixth doubled day before the Kalends of March'), usually abbreviated as a.d. bis VI Kal. Mart.; hence it is called in English the bissextile day. The year in which it occurred was termed annus bissextus, in English the bissextile year.

There is debate about the exact position of the bissextile day in the early Julian calendar. The earliest direct evidence is a statement of the 2nd century jurist Celsus, who states that there were two-halves of a 48-hour day, and that the intercalated day was the "posterior" half. An inscription from AD 168 states that a.d. V Kal. Mart. was the day after the bissextile day. The 19th century chronologist Ideler argued that Celsus used the term "posterior" in a technical fashion to refer to the earlier of the two days, which requires the inscription to refer to the whole 48-hour day as the bissextile. Some later historians share this view. Others, following Mommsen, take the view that Celsus was using the ordinary Latin (and English) meaning of "posterior". A third view is that neither half of the 48-hour "bis sextum" was originally formally designated as intercalated, but that the need to do so arose as the concept of a 48-hour day became obsolete.[28]

There is no doubt that the bissextile day eventually became the earlier of the two days for most purposes. In 238 Censorinus stated that it was inserted after the Terminalia (23 February) and was followed by the last five days of February, i.e., a.d. VI, V, IV, III and prid. Kal. Mart. (which would be 24 to 28 February in a common year and the 25th to 29th in a leap year). Hence he regarded the bissextum as the first half of the doubled day. All later writers, including Macrobius about 430, Bede in 725, and other medieval computists (calculators of Easter) followed this rule, as does the liturgical calendar of the Roman Catholic Church. However, Celsus' definition continued to be used for legal purposes. It was incorporated into Justinian's Digest,[29] and in the English Statute De Anno et Die Bissextili of 1236,[30] which was not formally repealed until 1879.

The effect of the bissextile day on the nundinal cycle is not discussed in the sources. According to Dio Cassius, a leap day was inserted in 41 BC to ensure that the first market day of 40 BC did not fall on 1 January, which implies that the old 8-day cycle was not immediately affected by the Julian reform. However, he also reports that in AD 44, and on some previous occasions, the market day was changed to avoid a conflict with a religious festival. This may indicate that a single nundinal letter was assigned to both halves of the 48-hour bissextile day by this time, so that the Regifugium and the market day might fall on the same date but on different days. In any case, the 8-day nundinal cycle began to be displaced by the 7-day week in the first century AD, and dominical letters began to appear alongside nundinal letters in the fasti.[31]

Year length; leap years

The Julian calendar has two types of year: "normal" years of 365 days and "leap" years of 366 days. There is a simple cycle of three "normal" years followed by a leap year and this pattern repeats forever without exception. The Julian year is, therefore, on average 365.25 days long. Consequently, the Julian year drifts over time with respect to the tropical (solar) year (365.24217 days).[32]

Although Greek astronomers had known, at least since Hipparchus,[33] a century before the Julian reform, that the tropical year was slightly shorter than 365.25 days, the calendar did not compensate for this difference. As a result, the calendar year gains about three days every four centuries compared to observed equinox times and the seasons. This discrepancy was largely corrected by the Gregorian reform of 1582. The Gregorian calendar has the same months and month lengths as the Julian calendar, but, in the Gregorian calendar, year numbers evenly divisible by 100 are not leap years, except that those evenly divisible by 400 remain leap years[34] (even then, the Gregorian calendar diverges from astronomical observations by one day in 3,030 years).[32]

Leap year error

Although the new calendar was much simpler than the pre-Julian calendar, the pontifices initially added a leap day every three years, instead of every four. There are accounts of this in Solinus,[35] Pliny,[36] Ammianus,[37] Suetonius,[38] and Censorinus.[39]

Macrobius[40] gives the following account of the introduction of the Julian calendar:

Caesar's regulation of the civil year to accord with his revised measurement was proclaimed publicly by edict, and the arrangement might have continued to stand had not the correction itself of the calendar led the priests to introduce a new error of their own; for they proceeded to insert the intercalary day, which represented the four quarter-days, at the beginning of each fourth year instead of at its end, although the intercalation ought to have been made at the end of each fourth year and before the beginning of the fifth. This error continued for thirty-six years by which time twelve intercalary days had been inserted instead of the number actually due, namely nine. But when this error was at length recognised, it too was corrected, by an order of Augustus, that twelve years should be allowed to pass without an intercalary day, since the sequence of twelve such years would account for the three days which, in the course of thirty-six years, had been introduced by the premature actions of the priests.

So, according to Macrobius,

  1. the year was considered to begin after the Terminalia (23 February),[41]
  2. the calendar was operated correctly from its introduction on 1 January 45 BC until the beginning of the fourth year (February 42 BC) at which point the priests inserted the first intercalation,
  3. Caesar's intention was to make the first intercalation at the beginning of the fifth year (February 41 BC),
  4. the priests made a further eleven intercalations after 42 BC at three-year intervals so that the twelfth intercalation fell in 9 BC,
  5. had Caesar's intention been followed there would have been intercalations every four years after 41 BC, so that the ninth intercalation would have been in 9 BC,
  6. after 9 BC, there were twelve years without leap years, so that the leap days Caesar would have had in 5 BC, 1 BC and AD 4 were omitted and
  7. after AD 4 the calendar was operated as Caesar intended, so that the next leap year was AD 8 and then leap years followed every fourth year thereafter.[42]

Some people have had different ideas as to how the leap years went. The above scheme is that of Scaliger (1583) in the table below. He established that the Augustan reform was instituted in 8 BC. The table below shows for each reconstruction the implied proleptic Julian date for the first day of Caesar's reformed calendar and the first Julian date on which the Roman calendar date matches the Julian calendar after the completion of Augustus' reform.

Scholar Date Triennial leap years (BC) First
Julian day
First
aligned day
Quadriennial
leap year
resumes
Bennett[43] 2003 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8 31 December 46 BC 25 February 1 BC AD 4
Soltau[44] 1889 45, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11 2 January 45 BC 25 February AD 4 AD 8
Matzat[45] 1883 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11 1 January 45 BC 25 February 1 BC AD 4
Ideler[46] 1825 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9 1 January 45 BC 25 February AD 4 AD 8
Kepler[47] 1614 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 2 January 45 BC 25 February AD 4 AD 8
Harriot[48] After 1610 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 1 January 45 BC 25 February 1 BC AD 4
Bünting[48] 1590 45, 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12 1 January 45 BC 25 February 1 BC AD 4
Christmann[48][49] 1590 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 10 2 January 45 BC 25 February AD 4 AD 7[48]
Scaliger[50] 1583 42, 39, 36, 33, 30, 27, 24, 21, 18, 15, 12, 9 2 January 45 BC 25 February AD 4 AD 8

By the systems of Scaliger, Ideler and Bünting, the leap years prior to the suspension happen to be BC years that are divisible by 3, just as, after leap year resumption, they are the AD years divisible by 4.

Pierre Brind'Amour[51] argued that "only one day was intercalated between 1/1/45 and 1/1/40 (disregarding a momentary 'fiddling' in December of 41)[52] to avoid the nundinum falling on Kal. Ian."[53]

Alexander Jones says that the correct Julian calendar was in use in Egypt in 24 BC,[54] implying that the first day of the reform in both Egypt and Rome, 1 January 45 BC, was the Julian date 1 January if 45 BC was a leap year and 2 January if it was not. This necessitates fourteen leap days up to and including AD 8 if 45 BC was a leap year and thirteen if it was not. In 1999, a papyrus was discovered which gives the dates of astronomical phenomena in 24 BC in both the Egyptian and Roman calendars. From 30 August 26 BC (Julian), Egypt had two calendars: the old Egyptian in which every year had 365 days and the new Alexandrian in which every fourth year had 366 days. Up to 28 August 22 BC (Julian) the date in both calendars was the same. The dates in the Alexandrian and Julian calendars are in one-to-one correspondence except for the period from 29 August in the year preceding a Julian leap year to the following 24 February.[55] From a comparison of the astronomical data with the Egyptian and Roman dates, Alexander Jones[54] concluded that the Egyptian astronomers (as opposed to travellers from Rome) used the correct Julian calendar.

Due to the confusion about this period, we cannot be sure exactly what day (e.g. Julian day number) any particular Roman date refers to before March of 8 BC, except for those used in Egypt in 24 BC which are secured by astronomy.

An inscription has been discovered which orders a new calendar to be used in the Province of Asia to replace the previous Greek lunar calendar.[56] According to one translation

Intercalation shall commence on the day after 14 Peritius [a.d. IX Kal. Feb, which would have been 15 Peritius] as it is currently constituted in the third year following promulgation of the decree. Xanthicus shall have 32 days in this intercalary year.[57]

This is historically correct.[citation needed] It was decreed by the proconsul that the first day of the year in the new calendar shall be Augustus' birthday, a.d. IX Kal. Oct. Every month begins on the ninth day before the kalends. The date of introduction, the day after 14 Peritius, was 1 Dystrus, the next month. The month after that was Xanthicus. Thus Xanthicus began on a.d. IX Kal. Mart., and normally contained 31 days. In leap year, however, it contained an extra "Sebaste day", the Roman leap day, and thus had 32 days. From the lunar nature of the old calendar we can fix the starting date of the new one as 24 January, a.d. IX Kal. Feb 5 BC in the Julian calendar, which was a leap year. Thus from inception the dates of the reformed Asian calendar are in one-to-one correspondence with the Julian.

Another translation of this inscription is

Intercalation shall commence on the day after the fourteenth day in the current month of Peritius [a.d. IX Kal. Feb], occurring every third year. Xanthicus shall have 32 days in this intercalary year.[58]

This would move the starting date back three years to 8 BC, and from the lunar synchronism back to 26 January (Julian). But since the corresponding Roman date in the inscription is 24 January, this must be according to the incorrect calendar which in 8 BC Augustus had ordered to be corrected by the omission of leap days. As the authors of the previous[which?] paper point out, with the correct four-year cycle being used in Egypt and the three-year cycle abolished in Rome, it is unlikely that Augustus would have ordered the three-year cycle to be introduced in Asia.

Month names

The Julian reform did not immediately cause the names of any months to be changed. The old intercalary month was abolished and replaced with a single intercalary day at the same point (i.e., five days before the end of February).[59][60]

Roman

The Romans later renamed months after Julius Caesar and Augustus, renaming Quintilis as "Iulius" (July)[3] in 44 BC and Sextilis as "Augustus" (August) in 8 BC. Quintilis was renamed to honour Caesar because it was the month of his birth.[61] According to a senatus consultum quoted by Macrobius, Sextilis was renamed to honour Augustus because several of the most significant events in his rise to power, culminating in the fall of Alexandria, occurred in that month.[62]

Other months were renamed by other emperors, but apparently none of the later changes survived their deaths. In AD 37, Caligula renamed September as "Germanicus" after his father;[63] in AD 65, Nero renamed April as "Neroneus", May as "Claudius" and June as "Germanicus";[64] and in AD 84 Domitian renamed September as "Germanicus" and October as "Domitianus".[65] Commodus was unique in renaming all twelve months after his own adopted names (January to December): "Amazonius", "Invictus", "Felix", "Pius", "Lucius", "Aelius", "Aurelius", "Commodus", "Augustus", "Herculeus", "Romanus", and "Exsuperatorius".[66] The emperor Tacitus is said to have ordered that September, the month of his birth and accession, be renamed after him, but the story is doubtful since he did not become emperor before November 275.[67] Similar honorific month names were implemented in many of the provincial calendars that were aligned to the Julian calendar.[68]

Other name changes were proposed but were never implemented. Tiberius rejected a senatorial proposal to rename September as "Tiberius" and October as "Livius", after his mother Livia.[69] Antoninus Pius rejected a senatorial decree renaming September as "Antoninus" and November as "Faustina", after his empress.[70]

Charlemagne

Much more lasting than the ephemeral month names of the post-Augustan Roman emperors were the Old High German names introduced by Charlemagne. According to his biographer, Einhard, Charlemagne renamed all of the months agriculturally in German.[71] These names were used until the 15th century, over 700 years after his rule, and continued, with some modifications, to be used as "traditional" month names until the late 18th century. The names (January to December) were: Wintarmanoth ("winter month"), Hornung,[note 3] Lentzinmanoth ("spring month", "Lent month"), Ostarmanoth ("Easter month"), Wonnemanoth ("joy-month", a corruption of Winnimanoth "pasture-month"), Brachmanoth ("fallow-month"), Heuuimanoth ("hay month"), Aranmanoth ("reaping month"), Witumanoth ("wood month"), Windumemanoth ("vintage month"), Herbistmanoth ("harvest month"), and Heilagmanoth ("holy month").

Eastern Europe

The calendar month names used in western and northern Europe, in Byzantium, and by the Amazigh (Berbers), were derived from the Latin names. However, in eastern Europe older seasonal month names continued to be used into the 19th century, and in some cases are still in use, in many languages, including: Belarusian, Bulgarian, Croatian, Czech, Finnish,[72] Georgian, Lithuanian, Macedonian, Polish, Romanian, Slovene, Ukrainian. When the Ottoman Empire adopted the Julian calendar, in the form of the Rumi calendar, the month names reflected Ottoman tradition.

Year numbering

The principal method used by the Romans to identify a year for dating purposes was to name it after the two consuls who took office in it, the eponymous period in question being the consular year. Beginning in 153 BC, consuls began to take office on 1 January, thus synchronizing the commencement of the consular and calendar years. The calendar year has begun in January and ended in December since about 450 BC according to Ovid or since about 713 BC according to Macrobius and Plutarch (see Roman calendar). Julius Caesar did not change the beginning of either the consular year or the calendar year. In addition to consular years, the Romans sometimes used the regnal year of the emperor, and by the late 4th century documents were also being dated according to the 15-year cycle of the indiction. In 537, Justinian required that henceforth the date must include the name of the emperor and his regnal year, in addition to the indiction and the consul, while also allowing the use of local eras.

In 309 and 310, and from time to time thereafter, no consuls were appointed.[73] When this happened, the consular date was given a count of years since the last consul (called "post-consular" dating). After 541, only the reigning emperor held the consulate, typically for only one year in his reign, and so post-consular dating became the norm. Similar post-consular dates were also known in the west in the early 6th century. The system of consular dating, long obsolete, was formally abolished in the law code of Leo VI, issued in 888.

Only rarely did the Romans number the year from the founding of the city (of Rome), ab urbe condita (AUC). This method was used by Roman historians to determine the number of years from one event to another, not to date a year. Different historians had several different dates for the founding. The Fasti Capitolini, an inscription containing an official list of the consuls which was published by Augustus, used an epoch of 752 BC. The epoch used by Varro, 753 BC, has been adopted by modern historians. Indeed, Renaissance editors often added it to the manuscripts that they published, giving the false impression that the Romans numbered their years. Most modern historians tacitly assume that it began on the day the consuls took office, and ancient documents such as the Fasti Capitolini which use other AUC systems do so in the same way. However, Censorinus, writing in the 3rd century AD, states that, in his time, the AUC year began with the Parilia, celebrated on 21 April, which was regarded as the actual anniversary of the foundation of Rome.[74]

Many local eras, such as the Era of Actium and the Spanish Era, were adopted for the Julian calendar or its local equivalent in the provinces and cities of the Roman Empire. Some of these were used for a considerable time.[75] Perhaps the best known is the Era of Martyrs, sometimes also called Anno Diocletiani (after Diocletian), which was associated with the Alexandrian calendar and often used by the Alexandrian Christians to number their Easters during the 4th and 5th centuries, and continues to be used by the Coptic and Ethiopian churches.

In the eastern Mediterranean, the efforts of Christian chronographers such as Annianus of Alexandria to date the Biblical creation of the world led to the introduction of Anno Mundi eras based on this event.[76] The most important of these was the Etos Kosmou, used throughout the Byzantine world from the 10th century and in Russia until 1700. In the west, the kingdoms succeeding the empire initially used indictions and regnal years, alone or in combination. The chronicler Prosper of Aquitaine, in the fifth century, used an era dated from the Passion of Christ, but this era was not widely adopted. Dionysius Exiguus proposed the system of Anno Domini in 525. This era gradually spread through the western Christian world, once the system was adopted by Bede in the eighth century.

The Julian calendar was also used in some Muslim countries. The Rumi calendar, the Julian calendar used in the later years of the Ottoman Empire, adopted an era derived from the lunar AH year equivalent to AD 1840, i.e., the effective Rumi epoch was AD 585. In recent years, some users of the Berber calendar have adopted an era starting in 950 BC, the approximate date that the Libyan pharaoh Sheshonq I came to power in Egypt.

New Year's Day

The Roman calendar began the year on 1 January, and this remained the start of the year after the Julian reform. However, even after local calendars were aligned to the Julian calendar, they started the new year on different dates. The Alexandrian calendar in Egypt started on 29 August (30 August after an Alexandrian leap year). Several local provincial calendars were aligned to start on the birthday of Augustus, 23 September. The indiction caused the Byzantine year, which used the Julian calendar, to begin on 1 September; this date is still used in the Eastern Orthodox Church for the beginning of the liturgical year. When the Julian calendar was adopted in AD 988 by Vladimir I of Kiev, the year was numbered Anno Mundi 6496, beginning on 1 March, six months after the start of the Byzantine Anno Mundi year with the same number. In 1492 (AM 7000), Ivan III, according to church tradition, realigned the start of the year to 1 September, so that AM 7000 only lasted for six months in Russia, from 1 March to 31 August 1492.[77]

In Anglo-Saxon England, the year most commonly began on 25 December, which, as (approximately) the winter solstice, had marked the start of the year in pagan times, though 25 March (the equinox) is occasionally documented in the 11th century. Sometimes the start of the year was reckoned as 24 September, the start of the so-called "western indiction" introduced by Bede.[78] These practices changed after the Norman conquest. From 1087 to 1155 the English year began on 1 January, and from 1155 to 1751 it began on 25 March.[79] In 1752 it was moved back to 1 January. (See Calendar [New Style] Act 1750).

Even before 1752, 1 January was sometimes treated as the start of the new year – for example by Pepys[80] – while the "year starting 25th March was called the Civil or Legal Year".[81] To reduce misunderstandings on the date, it was not uncommon for a date between 1 January and 24 March to be written as "1661/62". This was to explain to the reader that the year was 1661 counting from March and 1662 counting from January as the start of the year.[82] (For more detail, see Dual dating).

Country Year starting
1 January[83][84]
Adoption of
new calendar
Holy Roman Empire[note 4] 1544[note 5] 1582
Spain, Portugal 1556 1582
Prussia, Denmark–Norway 1559 1700
Sweden 1559 1753[note 6]
France 1567[note 7] 1582
Southern Netherlands 1576[85] 1582
Lorraine 1579 1760
Holland, Zeeland 1583 1582
Dutch Republic except Holland and Zeeland 1583 1700
Scotland 1600[note 8] 1752
Russia 1700[note 9] 1918
Tuscany 1750[86][87] 1582[88]
British Empire excluding Scotland 1752[note 10] 1752[note 11]
Republic of Venice 1522[note 12] 1582
Serbia 1804[citation needed] 1918
Ottoman Empire 1918 1917[note 13]

Replacement by the Gregorian calendar

The Julian calendar has been replaced as the civil calendar by the Gregorian calendar in all countries which officially used it. Bulgaria adopted it on 31 March/14 April 1916. Turkey switched (for fiscal purposes) on 16 February/1 March 1917. Russia changed on 1/14 February 1918.[89] Greece made the change for civil purposes on 16 February/1 March 1923, but the national day (25 March) was to remain on the old calendar. Most Christian denominations in the west and areas evangelised by western churches have made the change to Gregorian for their liturgical calendars to align with the civil calendar.

A calendar similar to the Julian one, the Alexandrian calendar, is the basis for the Ethiopian calendar, which is still the civil calendar of Ethiopia. Egypt converted from the Alexandrian calendar to Gregorian on 1 Thaut 1592/11 September 1875.[90]

During the changeover between calendars and for some time afterwards, dual dating was used in documents and gave the date according to both systems. In contemporary as well as modern texts that describe events during the period of change, it is customary to clarify to which calendar a given date refers by using an O.S. or N.S. suffix (denoting Old Style, Julian or New Style, Gregorian).

Transition history

In 1582, Pope Gregory XIII promulgated the Gregorian calendar. Reform was required as the Julian calendar year, with an average length of 365.25 days, was longer than the natural tropical year. On average, the astronomical solstices and the equinoxes advance by 10.8 minutes per year against the Julian calendar year. As a result, 21 March (which is the base date for calculating the date of Easter) gradually moved out of alignment with the March equinox.

In 1582 when Roman Catholic countries such as Spain adopted the Gregorian calendar, ten days were omitted from the month of October.

While Hipparchus and presumably Sosigenes were aware of the discrepancy, although not of its correct value,[91] it was evidently felt to be of little importance at the time of the Julian reform (46 BC). However, it accumulated significantly over time: the Julian calendar gained a day every 128 years. By 1582, 21 March was ten days out of alignment with the March equinox, the date where it was reckoned to have been in 325, the year of the Council of Nicaea.

Since the Julian and Gregorian calendars were long used simultaneously, although in different places, calendar dates in the transition period are often ambiguous, unless it is specified which calendar was being used. In some circumstances, double dates might be used, one in each calendar. The notation "Old Style" (O.S.) is sometimes used to indicate a date in the Julian calendar, as opposed to "New Style" (N.S.), which either represents the Gregorian date or the Julian date with the start of the year as 1 January. This notation is used to clarify dates from countries that continued to use the Julian calendar after the Gregorian reform, such as Great Britain, which did not adopt the reformed calendar until 1752, or Russia, which did not do so until 1918 (see Soviet calendar). This is why the Russian Revolution of 7 November 1917 N.S. is known as the October Revolution, because it began on 25 October O.S.

Modern usage

Eastern Orthodox

Russian icon of the Theophany (the baptism of Jesus by John the Baptist) (6 January), the highest-ranked feast which occurs on the fixed cycle of the Eastern Orthodox liturgical calendar

Although most Eastern Orthodox countries (most of them in eastern or southeastern Europe) had adopted the Gregorian calendar by 1924, their national churches had not. The "Revised Julian calendar" was endorsed by a synod in Constantinople in May 1923, consisting of a solar part which was and will be identical to the Gregorian calendar until the year 2800, and a lunar part which calculated Easter astronomically at Jerusalem. All Eastern Orthodox churches refused to accept the lunar part, so all Orthodox churches continue to celebrate Easter according to the Julian calendar, with the exception of the Finnish Orthodox Church[92] (the Estonian Orthodox Church was also an exception from 1923 to 1945[93]).

The Orthodox Churches of Jerusalem, Russia, Serbia, Montenegro, Poland (from 15 June 2014), North Macedonia, Georgia, and the Greek Old Calendarists and other groups continue to use the Julian calendar, thus they celebrate the Nativity on 25 December Julian (which is 7 January Gregorian until 2100). The Russian Orthodox Church has some parishes in the West that celebrate the Nativity on 25 December Gregorian until 2799.[citation needed]

The Orthodox Church of Ukraine announced in late May 2023 that they would use the Gregorian calendar to celebrate Christmas on December 25, 2023, partly in reflection to Russia's invasion of the country in early 2022.[94]

Date of Easter

Most branches of the Eastern Orthodox Church use the Julian calendar for calculating the date of Easter, upon which the timing of all the other moveable feasts depends. Some such churches have adopted the Revised Julian calendar for the observance of fixed feasts, while such Orthodox churches retain the Julian calendar for all purposes.[95]

Syriac Christianity

The Ancient Assyrian Church of the East, an East Syriac rite that is commonly miscategorised under "eastern Orthodox", uses the Julian calendar, where its participants celebrate Christmas on 7 January Gregorian (which is 25 December Julian). The Assyrian Church of the East, the church it split from in 1968 (the replacement of traditional Julian calendar with Gregorian calendar being among the reasons), uses the Gregorian calendar ever since the year of the schism.[96]

Oriental Orthodox

The Armenian Patriarchate of Jerusalem of Armenian Apostolic Orthodox Church uses Julian calendar, while the rest of Armenian Church uses Gregorian calendar. Both celebrate the Nativity as part of the Feast of Theophany according to their respective calendar.[97]

Berbers

The Julian calendar is still used by the Berbers of the Maghreb in the form of the Berber calendar.[98]

Foula

Foula in Shetland, Scotland, a small settlement on a remote island of the archipelago, still celebrates festivities according to the Julian calendar.[99]

See also

Notes

  1. ^ It is not known why he decided that 67 was the correct number of days to add, nor whether he intended to align the calendar to a specific astronomical event such as the winter solstice. Ideler suggested (Handbuch der mathematischen und technischen Chronologie II 123–125) that he intended to align the winter solstice to a supposedly traditional date of 25 December. The number may compensate for three omitted intercalary months (67 = 22+23+22). It also made the distance from 1 March 46 BC, the original New Year's Day in the Roman calendar, to 1 January 45 BC 365 days.
  2. ^ E.g., "... we have a sidelight on what was involved in "the year of confusion" as it was called. According to Dion Cassius, the historian, there was a governor in Gaul who insisted that, in the lengthened year, two months' extra taxes should be paid. The extra months were called Undecimber and Duodecimber." (P. W. Wilson, The romance of the calendar (New York, 1937), 112). The eponymous dating of the cited passage (Dio Cassius 54.21) shows that it actually refers to an event of 15 BC, not 46 BC.
  3. ^ This name of February, the only name in the list without the "month" suffix, is explained by König, Festschrift Bergmann (1997), pp. 425 ff. as a collective of horn, taken to refer to the antlers shed by red deer during this time. Older explanations compare the name with Old Frisian horning (Anglo-Saxon hornung-sunu, Old Norse hornungr) meaning "bastard, illegitimate son", taken to imply a meaning of "disinherited" in reference to February being the shortest of months.
  4. ^ The source has Germany, whose current area during the sixteenth century was a major part of the Holy Roman Empire, a religiously divided confederation. The source is unclear as to whether all or only parts of the country made the change. In general, Roman Catholic countries made the change a few decades before Protestant countries did.
  5. ^ Previously began on 25 December, with possible exceptions
  6. ^ Sweden started a conversion process in 1700, which was abandoned later that year due to the Great Northern War, and in 1712 returned to the Julian calendar. In 1753 Sweden switched to the Gregorian calendar. See Swedish calendar.
  7. ^ Previously began on Easter Sunday, with several exceptions such as Lyon on 25 December and Vienne on 25 March
  8. ^ Previously began on 25 March from 1155
  9. ^ Previously began on 1 March from 988 until 1492, and 1 September from 1492
  10. ^ Previously began on 25 March from 1155
  11. ^ 1751 in England only lasted from 25 March to 31 December. The dates 1 January to 24 March which would have concluded 1751 under the old calendar became part of 1752 when the beginning of the numbered year was changed from 25 March to 1 January.
  12. ^ Previously began on 1 March
  13. ^ See Rumi calendar for details. It is often stated that Turkey adopted the Gregorian calendar in 1926 or 1927: in fact this is when it adopted the AD/CE epoch.

References

  1. ^ "Berbers mark New Year in Algeria, welcoming 2968". Daily Sabah. 12 January 2018. Retrieved 25 June 2019. The Berber calendar is an agrarian system, based around the seasons and agricultural work, that was inspired by the Julian calendar.
  2. ^ Richards 2013, p. 595.
  3. ^ a b c The letter J was not invented until the 16th century.
  4. ^ The spelling Quinctilis is also attested; see page 669 of The Oxford Companion to the Year.
  5. ^ T H Key, "A Dictionary of Greek and Roman Antiquities" (article Calendarium), London, 1875, available at [1].
  6. ^ Blackburn, B & Holford-Strevens, L The Oxford Companion to the Year, Oxford University Press, 1999, reprinted with corrections, 2003, pp. 669–70.
  7. ^ Censorinus, De die natali 20.7 (in Latin) Latin)
  8. ^ Varro, On Agriculture I.1.28.
  9. ^ Pliny, Natural History: (Book 18, LIX / LXVI / LXVIII / LXXIV).
  10. ^ Parker, R. A. (May 1974). "Ancient Egyptian Astronomy". Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. 276 (1257): 51–65. JSTOR 74274.
  11. ^ Hartner, Willy. "The young Avestan and Babylonian calendars and the antecedents of precession." Journal for the History of Astronomy 10 (1979): 1. pp. 1–22. doi:10.1177/002182867901000102
  12. ^ Stern, Sacha. Calendars in antiquity: Empires, states, and societies. Oxford University Press, 2012., p. 178.
  13. ^ a b Lucan, Pharsalia: Book 10.
  14. ^ Émile Biémont, Rythmes du temps, astronomie et calendriers, éd. De Boeck (Bruxelles), 2000 (ISBN 2-8041-3287-0), p. 224.
  15. ^ Suetonius, Caesar 52.1. Archived 2012-05-30 at archive.today
  16. ^ Plutarch, Lives of the Noble Grecians and Romans: Caesar 59.
  17. ^ Pliny, Natural History: (Book 18, LVII).
  18. ^ Encyclopædia Britannica Sosigenes of Alexandria.
  19. ^ Macrobius, Saturnalia I.14.2 (Latin).
  20. ^ This section is based on S. Stern, Calendars in Antiquity (OUP 2012) pp. 259–297.
  21. ^ Stern, Sacha (2012). Calendars in Antiquity: Empires, States, and Societies. OUP Oxford. pp. 259–297. ISBN 978-0-19-958944-9.
  22. ^ Studied in detail in W. Kubitschek, Die Kalendarbücher von Florenz, Rom und Leyden (Vienna, 1915).
  23. ^ J. Rüpke, The Roman Calendar from Numa to Constantine: Time, History and the Fasti, 117f., suggests, based on the ritual structures of the calendar, that 5 days were added to November and that the two intercalary months each had 31 days, with Nones and Ides on the 7th and 15th.
  24. ^ William Smith, Dictionary of Greek and Roman Antiquities: Year of Julius Caesar, following Ideler, interprets Macrobius, Saturnalia 1.14.13 (Latin) to mean that Caesar decreed that the first day of the new calendar began with the new moon which fell on the night of 1/2 January 45 BC.
    The new moon was on 2 January 45 BC (in the Proleptic Julian calendar) at 00:21 UTC, according to IMCCE (a branch of the Paris Observatory): Phases of the moon (between −4000 and +2500) Archived 2011-07-20 at the Wayback Machine. This is in agreement with the historical moon phase tables by Fred Espenak in which the new moon was on 2 January 45 BC at 00:43 UTC. Espenek's table assumes that the first Julian year of 45 BC was a leap year. If the first year of 45 BC was not a leap year, there would be a day offset, and the new moon would have been on 1 January 45 BC at 00:43 UTC.
    Espnek's historical moon phase tables also indicate that there was a new moon on 1 March 45 BC at 08:39 UTC (Kalends of March), quarter moon on 8 March 45 BC at 09:00 UTC (a day after Nones of March), and full moon on 15 March 45 BC at 07:19 UTC (Ides of March). Espenak's tables of the phases of the moon are based on computational procedures described in Astronomical Algorithms by Jean Meeus (Willmann-Bell, Inc., Richmond, 1998).
    More recent studies of the Macrobius manuscripts have shown that the word on which Idler's supposition is based, which was read as lunam, should be read as linam, meaning that Macrobius was simply stating that Caesar published an edict giving the revised calendar – see e.g., p.99 in the translation of Macrobius by P. Davies.
    Smith gives no source or justification for his other speculation that Caesar originally intended to commence the year precisely with the winter solstice.
  25. ^ Macrobius, Saturnalia 1.14.9 (Latin). Exceptionally, the extra day in April was inserted as the 26th, a.d. VI Kal. Mai. in the Julian calendar, in order to avoid adding a day to the Floralia, which ran from a.d. IV Kal. Mai. (27 April in the pre-Julian calendar) to a.d. V Non. Mai.
  26. ^ Macrobius, Saturnalia 1.14.12 (Latin).
  27. ^ A. K. Michels, The Calendar of the Roman Republic Appendix II; J. Rüpke, The Roman Calendar from Numa to Constantine 113–114, 126–132, 147.
  28. ^ W. Sternkopf, "Das Bissextum", (JCP 41 (1895) 718–733).
  29. ^ Justinian, Digest 50.16.98 Archived 2012-02-08 at the Wayback Machine.
  30. ^ "The statute De anno et die bissextili, made at Westminster, Anno 21 Hen. III. and Anno Dom. 1236". The Statutes at Large from Magna Charta to the End of the Reign of King Henry the Sixth. Vol. 1. London. 1763.
  31. ^ Dio Cassius 48.33.4, 60.24.7; C. J. Bennett, "The Imperial Nundinal Cycle", Zeitschrift für Papyrologie und Epigraphik 147 (2004) 175–179.
  32. ^ a b Using value from Richards (2013, p. 587) for tropical year in mean solar days, the calculation is 1/(365.2425-365.24217)
  33. ^ Claudius Ptolemy, tr. G. J. Toomer, Ptolemy's Almagest, 1998, Princeton University Press, p. 139. Hipparchus stated that the "solar year ... contains 365 days, plus a fraction which is less than 1/4 by about 1/300th of the sum of one day and night".
  34. ^ Introduction to Calendars Archived 2019-06-13 at the Wayback Machine. (15 May 2013). United States Naval Observatory.
  35. ^ Gaius Julius Solinus, De mirabilibus mundi, c.3, available at [2].
  36. ^ Gaius Plinius Secundus, Natural History, Vol. 2, 18.57, tr. J Bostock and H T Riley, London 1855, available at [3].
  37. ^ The Roman History of Ammianus Marcellinus, 26.10, Loeb Classical Library vol. II, Harvard 1940, available at [4].
  38. ^ Gaius Suetonius Tranquillus, Life of Julius Caesar, 40.1, Loeb Classical Library, Harvard 1913, available at [5] Archived 2012-05-30 at archive.today.
  39. ^ Censorinus, The Natal Day, 20.30, tr. William Maude, New York 1900 available at [6].
  40. ^ Macrobius Ambrosius Theodosius, Saturnalia, 1.14.13–1.14.14, tr. Percival Vaughan Davies, New York 1969, Latin text at [7]
  41. ^ Marcus Terentius Varro, On the Latin Language, 6.13, tr. Roland Kent, London 1938 available at [8].
  42. ^ Nautical Almanac Offices of the United Kingdom and the United States. (1961). Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac, London: Her Majesty's Stationery Office. p. 410–11.
  43. ^ C. J. Bennett, "The Early Augustan Calendars in Rome and Egypt", Zeitschrift fűr Papyrologie und Epigraphik 142 (2003) 221–240 and "The Early Augustan Calendars in Rome and Egypt: Addenda et Corrigenda", Zeitschrift fűr Papyrologie und Epigraphik 147 (2004) 165–168; see also Chris Bennett, A.U.C. 730 = 24 B.C. (Egyptian papyrus).
  44. ^ W. Soltau, Römische Chronologie (Freiburg, 1889) 170–173. He accepted Matzat's phase of the triennial cycle but argued that it was absurd to suppose that Caesar would have made the second Julian year a leap year and that the 36 years had to be accounted from 45 BC.
  45. ^ H. Matzat, Römische Chronologie I (Berlin, 1883), 13–18. His argument rested on Dio Cassius 48.33.4 which mentions a leap day inserted in 41 BC, "contrary to the (i.e., Caesar's) rule", in order to avoid having a market day on the first day of 40 BC. Dio stated that this leap day was compensated for "later". Matzat proposed this was done by omitting a scheduled leap day in 40 BC, rather than by omitting a day from an ordinary year.
  46. ^ C. L. Ideler, Handbuch der mathematischen und technischen Chronologie (Berlin, 1825) II 130–131. He argued that Caesar would have enforced the bissextile day by introducing it in his first reformed year. T. E. Mommsen, Die Römische Chronologie bis auf Caesar (Berlin, 1859) 282–299, provided additional circumstantial arguments.
  47. ^ J. Kepler, De Vero Anno Quo Æternus Dei Filius Humanan Naturam in Utero Benedictæ Virginis Mariæ Assumpsit (Frankfurt, 1614) Cap. V, repub. in F. Hammer (ed.), Johannes Keplers Gesammelte Werke (Berlin, 1938) V 28.
  48. ^ a b c d For the list of triennial leap years proposed by Bünting, Christmann and Harriot, see Harriot's comparative table reproduced by Simon Cassidy (Fig. 6). The table numbers years as Julian years, where Julian year 1 = 45 BC. Thus, Scaliger and Clavius (col. 7) resume intercalation in Julian year 53 = AD 8, while Bünting (col. 8) and Harriot (col. 3) resume it in Julian year 49 = AD 4 and Christmann (col. 9) in year 52 = AD 7.
  49. ^ J. Christmann Muhamedis Alfragani arabis chronologica et astronomica elementa (Frankfurt, 1590), 173. His argument assumed that the triennial cycle started in the third Julian year.
  50. ^ J. J. Scaliger, De emendatione temporum (Paris, 1583), 159, 238.
  51. ^ Pierre Brind'Amour, Le calendrier romain, Ottawa 1983, pp. 45–46.
  52. ^ Dio Cassius 48.33.4, tr. Earnest Cary, Loeb Classical Library, 9 vol., Harvard 1914–1927, available at [9].
  53. ^ Refutation of Brind'Amour's theory by John Ward, Re: Intercalation in 45BC to 8AD, East Carolina University Calendar discussion List CALNDR-L, April 1998.
  54. ^ a b Alexander Jones, Calendrica II: Date Equations from the Reign of Augustus, Zeitschrift fűr Papyrologie und Epigraphik 129 (2000) 159–166, available at [10].
  55. ^ Dieter Hagedorn, Zum aegyptischen Kalender unter Augustus, Zeitschrift fűr Papyrologie und Epigraphik 100 (1994) 211–222, available at [11].
  56. ^ OGIS 458 (Greek).
  57. ^ B A Buxton and R Hannah in Studies in Latin Literature and Roman History (ed. C Deroux), XII 290.
  58. ^ U. Laffi, "Le iscrizioni relative all'introduzione nel 9 a.c. del nuovo calendario della provincia d'Asia", Studi Classici e Orientali 16 (1967) 5–99.
  59. ^ Genealogy, History &. "LibGuides Home: Colonial Records & Topics: 1752 Calendar Change". libguides.ctstatelibrary.org. Retrieved 2023-10-26.
  60. ^ "Intercalation". penelope.uchicago.edu. Retrieved 2023-10-26.
  61. ^ Suetonius, Caesar Archived 2012-05-30 at archive.today 76.1.
  62. ^ Suetonius, Augustus 31.2; Macrobius, Saturnalia 1.12.35 (Latin)
  63. ^ Suetonius, Caligula 15.2.
  64. ^ Tacitus, Annals 15.74, 16.12.
  65. ^ Suetonius, Domitian 13.3.
  66. ^ Dio Cassius 73.15.3.
  67. ^ Historia Augusta, Tacitus 13.6. On the chronology see R. McMahon, Tacitus.
  68. ^ Surveyed in K. Scott, Honorific Months, Yale Classical Studies 2 (1931) 201–278.
  69. ^ Suetonius, Tiberius 26.2.
  70. ^ Historia Augusta, Antoninus Pius 10.1.
  71. ^ Einhard, Life of Charlemagne, 29.
  72. ^ "Calendar, Finnish". English-Word Information.
  73. ^ "Chronography of AD 354".
  74. ^ Censorinus. De Die Natali (in Latin). 21.6. Because the lively festivities associated with the Parilia conflicted with the solemnity of Lent, which was observed until the Saturday before Easter Sunday, the early Roman church did not celebrate Easter after 21 April.Bede (1943). "Development of the Latin ecclesiastical calendar". In Jones, Charles W. (ed.). Bedae Opera de Temporibus. pp. 1–122, esp. 28.
  75. ^ For a partial survey see Samuel, A.E. (1972). Greek and Roman Chronology: Calendars and years in classical antiquity. Munich, DE. pp. 245 ff.{{cite book}}: CS1 maint: location missing publisher (link) Samuel introduces his survey by saying: "The number of eras which came into use and then expired to be replaced by yet other eras during Hellenistic and Roman times is probably not infinite, but I have not been able to find the end of them." Anatolian eras are exhaustively surveyed in Leschhorn, W. (1993). Antike Ären: Zeitrechnung, Politik und Geschichte im Schwarzmeerraum und in Kleinasien nördlich des Tauros (in German). Stuttgart, DE.{{cite book}}: CS1 maint: location missing publisher (link)
  76. ^ Mosshammer, A.A. (2008). The Easter Computus and the Origins of the Christian Era. Oxford, UK. pp. 27–29.{{cite book}}: CS1 maint: location missing publisher (link)
  77. ^ "История календаря в России и в СССР (Calendar history in Russia and in the USSR)".
  78. ^ M. L. R. Beaven, "The Regnal Dates of Alfred, Edward the Elder, and Athelstan", English Historical Review 32 (1917) 517–531; idem, "The Beginning of the Year in the Alfredian Chronicle (866–87)", English Historical Review 33 (1918) 328–342.
  79. ^ Catholic Encyclopedia, General Chronology (Beginning of the Year).
  80. ^ Pepys Diary, "I sat down to end my journell for this year, ..."
  81. ^ Spathaky, Mike Old Style and New Style dates and the change to the Gregorian calendar.
  82. ^ Spathaky, Mike Old Style and New Style dates and the change to the Gregorian calendar. "An oblique stroke is by far the most usual indicator, but sometimes the alternative final figures of the year are written above and below a horizontal line, as in a fraction (a form which cannot easily be reproduced here in ASCII text). Very occasionally a hyphen is used, as 1733-34."
  83. ^ John James Bond, "Commencement of the Year", Handy-book of rules and tables for verifying dates with the Christian era, (London: 1875), 91–101.
  84. ^ Mike Spathaky Old Style and New Style Dates and the change to the Gregorian Calendar: A summary for genealogists.
  85. ^ Per decree of 16 June 1575. Hermann Grotefend, "Osteranfang" (Easter beginning), Zeitrechnung de Deutschen Mittelalters und der Neuzeit (Chronology of the German Middle Ages and modern times) (1891–1898).
  86. ^ Alexandre Dumas, Storia del governo della Toscana: sotto La casa de'Medici.
  87. ^ Il calendario fiorentino.
  88. ^ Lorenzo Cattini, Legislazione toscana raccolta e illustrata, vol. 10, p. 208.
  89. ^ Social Security Administration (26 August 2005). "GN 00307.180 Gregorian/Julian calendar". Retrieved 27 July 2016. Although the Russian authorities officially changed calendars in 1918, individual registrars particularly in remote areas continued to use the old calendar for as long as ten years.
  90. ^ Papers Relating to the Foreign Relations of the United States, vol. 2, pp. 1348–1349.
  91. ^ Richards 1998, p. 216.
  92. ^ Bishop Photius of Triaditsa, "The 70th Anniversary of the Pan-Orthodox Congress, Part II of II"; "HELSINGIN SANOMAT (International edition)". 21 September 2007. Archived from the original on 14 July 2014. Retrieved 11 May 2010.
  93. ^ "Communiqué du Bureau de Presse de l'Eglise Orthodoxe d'Estonie" (PDF).
  94. ^ After calendar change, many in Ukraine are looking forward to a new Christmas Religion News, David I. Klein, June 16, 2023
  95. ^ Towards a Common Date of Easter. Archived 2017-06-20 at the Wayback Machine (5–10 March). World Council of Churches/Middle East Council of Churches Consultation, Aleppo, Syria.
  96. ^ The Quest for Orthodox–Assyrian Alliance Archived 2021-05-02 at the Wayback Machine Orthodoxy Cognate PAGE
  97. ^ Reply, hairabed (2015-01-07). "Armenian Christmas on January 6th". PeopleOfAr. Retrieved 2018-12-21.
  98. ^ Oxby, Clare (1998). "The manipulation of time: Calendars and power in the Sahara". Nomadic Peoples. New Series. 2 (1/2): 137–149. doi:10.3167/082279498782384522. JSTOR 43123542.
  99. ^ Merritt, Mike (27 December 2023). "Remote Foula islanders finally get to celebrate Christmas".

General and cited references

  • Bonnie Blackburn and Leofranc Holford-Strevens, The Oxford Companion to the Year, Oxford University Press, reprinted with corrections 2003.
  • Brind'Amour, Pierre (1983). Le Calendrier romain: Recherches chronologiques. Ottawa University Press.
  • "Ethiopian Time". Washington D.C.: Embassy of Ethiopia. 2008.
  • Feeney, Dennis (2007). Caesar's Calendar: Ancient Time and the Beginnings of History. Berkeley: University of California Press. ISBN 9780520251199.
  • Rüpke, Jörg (2011). The Roman Calendar from Numa to Constantine: Time, History and the Fasti. Wiley.
  • Nautical Almanac Offices of the United Kingdom and the United States of America (1961). Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac. London: Her Majesty's Stationery Office.
  • Richards, E. G (1998). Mapping Time: The Calendar and its History. Oxford University Press. ISBN 978-0-19-286205-1.
  • Richards, E. G. (2013). Urban, Sean E.; Seidelmann, P. Kenneth (eds.). Explanatory Supplement to the Astronomical Almanac (3rd ed.). Mill Valley, Calif: University Science Books. ISBN 978-1-891389-85-6.
  • Stern, Sacha (2012). Calendars in Antiquity: Empires, States and Societies. Oxford University Press.

Further reading