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{{short description|Subjective perception of sound pressure}}
{{For|the Japanese band|Loudness (band)}}
{{For|the Japanese band|Loudness (band)}}
[[Image:Lindos1.svg|thumb|400px|right|The horizontal axis shows ''[[frequency]]'' in ''[[Hertz]]'']]
{{see also|Louder (disambiguation)}}


'''Loudness''' is the characteristic of a [[sound]] that is primarily a psychological correlate of physical strength ([[amplitude]]). More formally, it is defined as "that attribute of auditory sensation in terms of which sounds can be ordered on a scale extending from quiet to loud".<ref>American National Standards Institute, "American national psychoacoustical terminology" S3.20, 1973, American Standards Association.</ref>
In [[acoustics]], '''loudness''' is the [[subjectivity|subjective]] perception of [[sound pressure]]. More formally, it is defined as the "attribute of auditory sensation in terms of which sounds can be ordered on a scale extending from quiet to loud".<ref>American National Standards Institute, "American national psychoacoustical terminology" S3.20, 1973, American Standards Association.</ref> The relation of physical attributes of sound to perceived loudness consists of physical, physiological and psychological components. The study of '''apparent loudness''' is included in the topic of [[psychoacoustics]] and employs methods of [[psychophysics]].


{{anchor|Stevens|Zwicker}}In different industries, loudness may have different meanings and different measurement standards. Some definitions, such as [[ITU-R BS.1770]] refer to the relative loudness of different segments of electronically reproduced sounds, such as for broadcasting and cinema. Others, such as ISO 532A (Stevens loudness, measured in [[sone]]s), ISO 532B ([[Eberhard Zwicker|Zwicker]] loudness), DIN 45631 and ASA/ANSI S3.4, have a more general scope and are often used to characterize loudness of environmental noise. More modern standards, such as Nordtest ACOU112 and ISO/AWI 532-3 (in progress) take into account other components of loudness, such as onset rate, time variation and spectral masking.
Loudness, a subjective measure, is often confused with objective measures of sound strength such as [[sound pressure]], sound pressure level (in [[decibels]]), [[sound intensity]] or [[sound power]]. Filters such as [[A-weighting]] attempt to adjust sound measurements to correspond to loudness as perceived by the typical human. However, loudness perception is a much more complex process than A-weighting.<ref name=Olson1972/>


Loudness, a subjective measure, is often confused with physical measures of sound strength such as sound pressure, [[sound pressure level]] (in [[decibel]]s), [[sound intensity]] or [[sound power]]. [[Weighting filter]]s such as [[A-weighting]] and [[LKFS]] attempt to compensate measurements to correspond to loudness as perceived by the typical human.
Loudness is also affected by parameters other than sound pressure, including frequency, bandwidth and duration.<ref name=Olson1972>{{cite journal |last=Olson |first=Harry F. |month=February |year=1972 |title=The Measurement of Loudness |journal=Audio |pages=18–22 |url=http://www.technicalaudio.com/pdf/Audio_magazine_issues_articles/Harry%20F.%20Olson%20-%20The%20Measurement%20of%20Loudness.pdf}}</ref>


== Explanation ==
== Explanation ==
The perception of loudness is related to [[sound pressure level]] (SPL), frequency content and duration of a sound.<ref>{{cite journal |author-last=Poulsen |author-first=Torben |title=Loudness of tone pulses in a free field |journal=The Journal of the Acoustical Society of America |date=1981 |volume=69 |issue=6 |pages=1786–1790 |bibcode=1981ASAJ...69.1786P |doi=10.1121/1.385915 |pmid=7240592 |s2cid=7190836 |url=http://orbit.dtu.dk/ws/files/3586037/Torben.pdf}}</ref> The relationship between SPL and loudness of a single tone can be approximated by [[Stevens's power law]] in which SPL has an exponent of 0.67.{{efn|The relationship between loudness and energy ''intensity'' of sound can therefore be approximated by a power function with an exponent of 0.3.}} A more precise model known as the ''Inflected [[Exponential function]]'',<ref>{{cite book |author-last=Goldstein |author-first=E. Bruce |title=Encyclopedia of Perception Vol. 1 |date=2009 |publisher=Sage |isbn=9781412940818 |page=147 |url=https://books.google.com/books?id=6M3NSNm6MlkC&q=inflected+exponential+loudness&pg=PA147}}</ref> indicates that loudness increases with a higher exponent at low and high levels and with a lower exponent at moderate levels.<ref>{{cite journal |author-last1=Florentine |author-first1=Mary |author-link1=Mary Florentine |author-last2=Epstein |author-first2=Michael |author-link2=Michael J. Epstein |title=To honor Stevens and repeal his law |journal=Proceedings of the International Society for Psychophysics |date=2006 |volume=22 |url=https://scholar.google.com/citations?user=DYB56FMAAAAJ&hl=en&oi=ao#d=gs_md_cita-d&p=&u=%2Fcitations%3Fview_op%3Dview_citation%26hl%3Den%26user%3DDYB56FMAAAAJ%26citation_for_view%3DDYB56FMAAAAJ%3Ad1gkVwhDpl0C%26tzom%3D420}}</ref>
The perception of loudness is related to both the sound pressure level and duration of a sound. The human auditory system averages the effects of sound pressure level (SPL) over a 600–1000&nbsp;ms interval. A sound of constant SPL will be perceived to increase in loudness as samples of duration 20, 50, 100, 200 ms are heard, up to a duration of about 1 second at which point the perception of loudness will stabilize. For sounds of duration greater than 1 second, the moment-by-moment perception of loudness will be related to the average loudness during the preceding 600–1000&nbsp;ms.


The sensitivity of the human ear changes as a function of frequency, as shown in the [[Equal-loudness contour|equal-loudness graph]]. Each line on this graph shows the SPL required for frequencies to be perceived as equally loud, and different curves pertain to different sound pressure levels. It also shows that humans with normal hearing are most sensitive to sounds around 2–4&nbsp;kHz, with sensitivity declining to either side of this region. A complete model of the perception of loudness will include the integration of SPL by frequency.<ref>{{cite journal |author-last=Olson |author-first=Harry |title=The Measurement of Loudness |journal=Audio Magazine |date=1972 |url=https://scholar.google.com/scholar?cluster=8587541427905974401&hl=en&as_sdt=0,5&sciodt=0,5#d=gs_qabs&p=&u=%23p%3DgVBJEG4TLXcJ}}</ref>
For sounds having a duration longer than 1 second, the relationship between SPL and loudness can be approximated by a power function in which SPL has an exponent of 0.6, while that between SPL and intensity can be approximated by a power function with an exponent of 0.3([[Stevens' power law]]). More precise measurements indicate that loudness increases with a higher exponent at low and high levels and with a lower exponent at moderate levels.


Historically, loudness was measured using an ear-balancing method with an [[audiometer]] in which the [[amplitude]] of a sine wave was adjusted by the user to equal the perceived loudness of the sound being evaluated.<ref>{{citation |doi=10.1093/oso/9780198887768.003.0004 |title=Measuring Noise: From Ear-Balance to Self-Registration}}</ref> Contemporary standards for measurement of loudness are based on the summation of energy in [[critical band]]s.<ref>As described in [[IEC]] 532, [[DIN]] 45631 and ASA/[[ANSI]] S3.4</ref>
Units used to measure loudness:
*[[Sone]] (loudness ''N'')
*[[Phon]] (loudness level ''L'')


== Hearing loss ==
[[Image:Lindos1.svg|thumb|400px|right|<center>The horizontal axis shows '''[[frequency]]''' in '''[[Hertz|Hz]]'''<center>]]
{{anchor|Softness imperception|Loudness recruitment}}When [[sensorineural hearing loss]] ([[Acoustic trauma|damage to the cochlea]] or in the brain) is present, the perception of loudness is altered. Sounds at low levels (often perceived by those without hearing loss as relatively quiet) are no longer audible to the hearing impaired, but sounds at high levels often are perceived as having the same loudness as they would for an unimpaired listener. This phenomenon can be explained by two theories, called ''loudness recruitment'' and ''softness imperception''.


Loudness recruitment posits that loudness grows more rapidly for certain listeners than normal listeners with changes in level. This theory has been accepted as the classical explanation.
The sensitivity of the human ear changes as a function of frequency, as shown in the [[Equal-loudness contours|equal-loudness graph]]. Each line on this graph shows the SPL required for frequencies to be perceived as equally loud. It also shows that humans with good hearing are most sensitive to sounds around 2–4&nbsp;kHz, with sensitivity declining to either side of this region. A complete model of the perception of loudness will include the integration of SPL by frequency and the duration of each.<ref name=Olson1972/>


Softness imperception, a term coined by [[Mary Florentine]] around 2002,<ref>{{cite journal |author-first=Mary |author-last=Florentine |author-link=Mary Florentine |title=It's not recruitment-gasp!! It's softness imperception |journal=Hearing Journal |date=March 2003 |volume=56 |issue=3 |doi=10.1097/01.HJ.0000293012.17887.b4 |pages=10, 12, 14, 15|doi-access=free }}</ref> proposes that some listeners with sensorineural hearing loss may exhibit a normal rate of loudness growth, but instead have an elevated loudness at their threshold. That is, the softest sound that is audible to these listeners is louder than the softest sound audible to normal listeners.
== Hearing loss ==
When [[sensorineural hearing loss]] (damage to the [[cochlea]] or in the brain) is present, the perception of loudness is altered. Sounds at low levels (often perceived by those without hearing loss as relatively quiet) are no longer audible to the hearing impaired, but interestingly, sounds at high levels often are perceived as having the same loudness as they would for an unimpaired listener. This phenomenon can be explained by two theories: Loudness grows more rapidly for these listeners than normal listeners with changes in level. This theory is called "loudness recruitment" and has been accepted as the classical explanation. More recently, it has been proposed that some listeners with sensorineural hearing loss may in fact exhibit a normal rate of loudness growth, but instead have an elevated loudness at their threshold. That is, the softest sound that is audible to these listeners is louder than the softest sound audible to normal listeners. This theory is called "softness imperception", a term coined by [[Mary Florentine]].<ref>{{citation |author=[[Mary Florentine]] |title=It's not recruitment-gasp!! It's softness imperception |url=http://journals.lww.com/thehearingjournal/Fulltext/2003/03000/It_s_not_recruitment_gasp___It_s_softness.3.aspx |publisher=Hearing Journal |year=2003 |month=March |volume=56 |issue=3 |doi=10.1097/01.HJ.0000293012.17887.b4 |pages=10, 12, 14, 15}}</ref>


==Compensation==
==Compensation==
The ''loudness'' control associated with a [[loudness compensation]] feature on some consumer stereos alters the [[frequency response]] curve to correspond roughly with the equal loudness characteristic of the ear.<ref>{{cite book |author-first=John D. |author-last=Lenk |title=Circuit Troubleshooting Handbook |publisher=[[McGraw-Hill]] |date=1998 |isbn=0-07-038185-2 |page=163}}</ref> Loudness compensation is intended to make the recorded music sound more natural when played at a lower levels by boosting low frequencies, to which the ear is less sensitive at lower sound pressure levels.
{{main|Loudness compensation}}
The "loudness" control on some consumer stereos alters the [[frequency response]] curve to correspond roughly with the equal loudness characteristic of the ear.<ref>{{cite book |first=John D. |last=Lenk |title=Circuit Troubleshooting Handbook |publisher=[[McGraw-Hill]] |year=1998 |isbn=0-07-038185-2 |page=163}}</ref> Loudness compensation is intended to make the recorded music sound more natural when played at a lower sound pressure level.


==Normalization==
==Normalization==
Loudness normalization equalizes perceived level such that, for instance, commercials do not sound louder than television programs. Loudness normalisation schemes exist for a number of audio applications.
Loudness normalization is a specific type of [[audio normalization]] that equalizes perceived level such that, for instance, commercials do not sound louder than television programs. Loudness normalization schemes exist for a number of audio applications.


===Broadcast===
===Broadcast===
*[[Commercial Advertisement Loudness Mitigation Act]]
* [[Commercial Advertisement Loudness Mitigation Act]]
*[[European Broadcasting Union]] R128<ref>{{citation |title=EBU Recommendation R 128: Loudness normalisation and permitted maximum level of audio signals |url=http://tech.ebu.ch/docs/r/r128.pdf |publisher=[[European Broadcasting Union]] |date=August 2011 |accessdate=2013-04-22}}</ref>
* [[EBU R 128]]<ref>{{cite book |title=EBU Recommendation R 128: Loudness normalisation and permitted maximum level of audio signals |url=http://tech.ebu.ch/docs/r/r128.pdf |publisher=[[European Broadcasting Union]] |date=August 2011 |access-date=2013-04-22}}</ref>


===Movie and home theaters===
===Movie and home theaters===
*[[Dialnorm]]
* [[Dialnorm]]


===Music playback===
===Music playback===
*Sound Check in [[iTunes]]
* Sound Check in [[iTunes]]
*[[ReplayGain]]
* [[ReplayGain]]
* Normalization systems built into streaming services such as [[Spotify]] and [[YouTube]].


==Measurement==
==Measurement==
Historically [[sone]] (loudness ''N'') and [[phon]] (loudness level ''L<sub>N</sub>'') units have been used to measure loudness.<ref name="Olson1972">{{cite journal |last=Olson |first=Harry F. |date=February 1972 |title=The Measurement of Loudness |journal=Audio |pages=18–22 |url=http://www.technicalaudio.com/pdf/Audio_magazine_issues_articles/Harry%20F.%20Olson%20-%20The%20Measurement%20of%20Loudness.pdf}}</ref>
Relative [[loudness monitoring]] in production is measured in accordance with ITU-R BS.1770 in units of [[LKFS]].<ref>{{citation |url=http://www.itu.int/rec/R-REC-BS.1770/ |title=Recommendation BS.1770 |date=2012-08 |publisher=[[International Telecommunication Union]] |accessdate=2013-05-31}}</ref>

[[A-weighting]] follows human sensitivity to sound and describes relative perceived loudness for at quiet to moderate speech levels, around 40 [[phon]]s.

Relative [[loudness monitoring]] in production is measured in accordance with ITU-R BS.1770 in units of LKFS.<ref>{{cite book |url=http://www.itu.int/rec/R-REC-BS.1770/ |title=Recommendation BS.1770 |date=August 2012 |publisher=[[International Telecommunication Union]] |access-date=2013-05-31}}</ref> Work began on ITU-R BS.1770 in 2001 after 0 dBFS+ level distortion in converters and lossy codecs had become evident; and the original Leq(RLB){{Clarify|date=September 2023|reason=}} loudness metric was proposed by Gilbert Soulodre in 2003.<ref>{{cite web |url=http://www.audiofile-engineering.com/support/manuals/sp/1/html/leq_meter.html |title=Leq Meter |access-date=2015-12-15}}</ref> Based on data from subjective listening tests, Leq(RLB) compared favorably to numerous other algorithms. [[Canadian Broadcasting Corporation|CBC]], [[Dolby]] and [[TC Electronic]] and numerous broadcasters contributed to the listening tests. Loudness levels measured according to the Leq(RLB) specified in ITU-R BS.1770 are reported in [[LKFS]] units.

The ITU-R BS.1770 measurement system was improved for made multi-channel applications ([[monaural]] to [[5.1 surround sound]]). To make the loudness metric cross-genre friendly, a relative measurement [[Noise gate|gate]] was added. This work was carried out in 2008 by the EBU. The improvements were brought back into BS.1770-2. ITU subsequently updated the true-peak metric (BS.1770-3) and added provision for even more audio channels, for instance [[22.2 surround sound]] (BS.1770-4).


==See also==
==See also==
*[[Loudness war]]
* [[Dynamics (music)]]
*[[Sending loudness rating]]
* [[Loudness war]]
* [[Sending loudness rating]]
*Volume in acoustics is related to:
* [[Standard siren]], loudness measurement in astronomy
**[[Amplitude]]

**[[Sound pressure]]
==Notes==
**[[Dynamics (music)|Dynamics]]
{{notelist}}


==References==
==References==
{{Reflist}}
{{reflist}}

==External links==
* {{Commons category-inline}}


{{Timbre}}
{{Timbre}}


{{Nonverbal communication}}
[[Category:Aspects of music]]
{{Authority control}}
[[Category:Acoustics]]


[[Category:Elements of music]]
[[fr:Sonie]]
[[Category:Acoustics]]

Latest revision as of 17:11, 22 December 2024

The horizontal axis shows frequency in Hertz

In acoustics, loudness is the subjective perception of sound pressure. More formally, it is defined as the "attribute of auditory sensation in terms of which sounds can be ordered on a scale extending from quiet to loud".[1] The relation of physical attributes of sound to perceived loudness consists of physical, physiological and psychological components. The study of apparent loudness is included in the topic of psychoacoustics and employs methods of psychophysics.

In different industries, loudness may have different meanings and different measurement standards. Some definitions, such as ITU-R BS.1770 refer to the relative loudness of different segments of electronically reproduced sounds, such as for broadcasting and cinema. Others, such as ISO 532A (Stevens loudness, measured in sones), ISO 532B (Zwicker loudness), DIN 45631 and ASA/ANSI S3.4, have a more general scope and are often used to characterize loudness of environmental noise. More modern standards, such as Nordtest ACOU112 and ISO/AWI 532-3 (in progress) take into account other components of loudness, such as onset rate, time variation and spectral masking.

Loudness, a subjective measure, is often confused with physical measures of sound strength such as sound pressure, sound pressure level (in decibels), sound intensity or sound power. Weighting filters such as A-weighting and LKFS attempt to compensate measurements to correspond to loudness as perceived by the typical human.

Explanation

[edit]

The perception of loudness is related to sound pressure level (SPL), frequency content and duration of a sound.[2] The relationship between SPL and loudness of a single tone can be approximated by Stevens's power law in which SPL has an exponent of 0.67.[a] A more precise model known as the Inflected Exponential function,[3] indicates that loudness increases with a higher exponent at low and high levels and with a lower exponent at moderate levels.[4]

The sensitivity of the human ear changes as a function of frequency, as shown in the equal-loudness graph. Each line on this graph shows the SPL required for frequencies to be perceived as equally loud, and different curves pertain to different sound pressure levels. It also shows that humans with normal hearing are most sensitive to sounds around 2–4 kHz, with sensitivity declining to either side of this region. A complete model of the perception of loudness will include the integration of SPL by frequency.[5]

Historically, loudness was measured using an ear-balancing method with an audiometer in which the amplitude of a sine wave was adjusted by the user to equal the perceived loudness of the sound being evaluated.[6] Contemporary standards for measurement of loudness are based on the summation of energy in critical bands.[7]

Hearing loss

[edit]

When sensorineural hearing loss (damage to the cochlea or in the brain) is present, the perception of loudness is altered. Sounds at low levels (often perceived by those without hearing loss as relatively quiet) are no longer audible to the hearing impaired, but sounds at high levels often are perceived as having the same loudness as they would for an unimpaired listener. This phenomenon can be explained by two theories, called loudness recruitment and softness imperception.

Loudness recruitment posits that loudness grows more rapidly for certain listeners than normal listeners with changes in level. This theory has been accepted as the classical explanation.

Softness imperception, a term coined by Mary Florentine around 2002,[8] proposes that some listeners with sensorineural hearing loss may exhibit a normal rate of loudness growth, but instead have an elevated loudness at their threshold. That is, the softest sound that is audible to these listeners is louder than the softest sound audible to normal listeners.

Compensation

[edit]

The loudness control associated with a loudness compensation feature on some consumer stereos alters the frequency response curve to correspond roughly with the equal loudness characteristic of the ear.[9] Loudness compensation is intended to make the recorded music sound more natural when played at a lower levels by boosting low frequencies, to which the ear is less sensitive at lower sound pressure levels.

Normalization

[edit]

Loudness normalization is a specific type of audio normalization that equalizes perceived level such that, for instance, commercials do not sound louder than television programs. Loudness normalization schemes exist for a number of audio applications.

Broadcast

[edit]

Movie and home theaters

[edit]

Music playback

[edit]

Measurement

[edit]

Historically sone (loudness N) and phon (loudness level LN) units have been used to measure loudness.[11]

A-weighting follows human sensitivity to sound and describes relative perceived loudness for at quiet to moderate speech levels, around 40 phons.

Relative loudness monitoring in production is measured in accordance with ITU-R BS.1770 in units of LKFS.[12] Work began on ITU-R BS.1770 in 2001 after 0 dBFS+ level distortion in converters and lossy codecs had become evident; and the original Leq(RLB)[clarification needed] loudness metric was proposed by Gilbert Soulodre in 2003.[13] Based on data from subjective listening tests, Leq(RLB) compared favorably to numerous other algorithms. CBC, Dolby and TC Electronic and numerous broadcasters contributed to the listening tests. Loudness levels measured according to the Leq(RLB) specified in ITU-R BS.1770 are reported in LKFS units.

The ITU-R BS.1770 measurement system was improved for made multi-channel applications (monaural to 5.1 surround sound). To make the loudness metric cross-genre friendly, a relative measurement gate was added. This work was carried out in 2008 by the EBU. The improvements were brought back into BS.1770-2. ITU subsequently updated the true-peak metric (BS.1770-3) and added provision for even more audio channels, for instance 22.2 surround sound (BS.1770-4).

See also

[edit]

Notes

[edit]
  1. ^ The relationship between loudness and energy intensity of sound can therefore be approximated by a power function with an exponent of 0.3.

References

[edit]
  1. ^ American National Standards Institute, "American national psychoacoustical terminology" S3.20, 1973, American Standards Association.
  2. ^ Poulsen, Torben (1981). "Loudness of tone pulses in a free field" (PDF). The Journal of the Acoustical Society of America. 69 (6): 1786–1790. Bibcode:1981ASAJ...69.1786P. doi:10.1121/1.385915. PMID 7240592. S2CID 7190836.
  3. ^ Goldstein, E. Bruce (2009). Encyclopedia of Perception Vol. 1. Sage. p. 147. ISBN 9781412940818.
  4. ^ Florentine, Mary; Epstein, Michael (2006). "To honor Stevens and repeal his law". Proceedings of the International Society for Psychophysics. 22.
  5. ^ Olson, Harry (1972). "The Measurement of Loudness". Audio Magazine.
  6. ^ Measuring Noise: From Ear-Balance to Self-Registration, doi:10.1093/oso/9780198887768.003.0004
  7. ^ As described in IEC 532, DIN 45631 and ASA/ANSI S3.4
  8. ^ Florentine, Mary (March 2003). "It's not recruitment-gasp!! It's softness imperception". Hearing Journal. 56 (3): 10, 12, 14, 15. doi:10.1097/01.HJ.0000293012.17887.b4.
  9. ^ Lenk, John D. (1998). Circuit Troubleshooting Handbook. McGraw-Hill. p. 163. ISBN 0-07-038185-2.
  10. ^ EBU Recommendation R 128: Loudness normalisation and permitted maximum level of audio signals (PDF). European Broadcasting Union. August 2011. Retrieved 2013-04-22.
  11. ^ Olson, Harry F. (February 1972). "The Measurement of Loudness" (PDF). Audio: 18–22.
  12. ^ Recommendation BS.1770. International Telecommunication Union. August 2012. Retrieved 2013-05-31.
  13. ^ "Leq Meter". Retrieved 2015-12-15.
[edit]
  • Media related to Loudness at Wikimedia Commons