Basso continuo

Basso continuo parts, almost universal in the Baroque era (1600–1750), provided the harmonic structure of the music by supplying a bassline and a chord progression. The phrase is often shortened to continuo, and the instrumentalists playing the continuo part are called the continuo group.

Forces

The makeup of the continuo group is often left to the discretion of the performers (or, for a large performance, the conductor), and practice varied enormously within the Baroque period. At least one instrument capable of playing chords must be included, such as a piano, harpsichord, organ, lute, theorbo, guitar, regal, or harp. In addition, any number of instruments that play in the bass register may be included, such as cello, double bass, bass viol, or bassoon. The most common combination, at least in modern performances, is harpsichord and cello for instrumental works and secular vocal works, such as operas, and organ and cello for sacred music. A double bass may be added, particularly when accompanying a lower-pitched solo voice (e.g., a bass singer).

Typically performers match the instrument families used in the full ensemble: including bassoon when the work includes oboes or other winds, but restricting it to cello and/or double bass if only strings are involved. Harps, lutes, and other handheld instruments are more typical of early 17th-century music. Sometimes instruments are specified by the composer: in L'Orfeo (1607) Monteverdi calls for an exceptionally varied instrumentation, with multiple harpsichords and lutes with a bass violin in the pastoral scenes followed by lamenting to the accompaniment of organo di legno and chitarrone, while Charon stands watch to the sound of a regal.

The keyboard (or other chord-playing instrument) player realizes (adds in an improvised fashion) a continuo part by playing, in addition to the notated bass line, notes above it to complete chords, either determined ahead of time or improvised in performance. The figured bass notation, described below, is a guide, but performers are also expected to use their musical judgment and the other instruments or voices (notably the lead melody and any accidentals that might be present in it) as a guide. Experienced players sometimes incorporate motives found in the other instrumental parts into their improvised chordal accompaniment. Modern editions of such music usually supply a realized keyboard part, fully written out in staff notation for a player, in place of improvisation. With the rise in historically informed performance, however, the number of performers who are able to improvise their parts from the figures, as Baroque players would have done, has increased.^{[citation needed]}

Figured bass notation

A part notated with figured bass consists of a bass line notated with notes on a musical staff plus added numbers and accidentals (or in some cases (back)slashes added to a number) beneath the staff to indicate what intervals above the bass notes should be played, and therefore which inversions of which chords are to be played.

The phrase tasto solo indicates that only the bass line (without any upper chords) is to be played for a short period, usually until the next figure is encountered. This instructs the chord-playing instrumentalist not to play any improvised chords for a period. The reason tasto solo had to be specified was because it was an accepted convention that if no figures were present in a section of otherwise figured bass line, the chord-playing performer would either assume that it was a root-position triad, or deduce from the harmonic motion that another figure was implied. For example, if a continuo part in the key of C begins with a C bass note in the first measure, which descends to a B♮ in the second measure, even if there were no figures, the chord-playing instrumentalist would deduce that this was most likely a first inversion dominant chord (spelled B–D–G, from bottom note of the chord to the top).

Composers were inconsistent in the usages described below. Especially in the 17th century, the numbers were omitted whenever the composer thought the chord was obvious. Early composers such as Claudio Monteverdi often specified the octave by the use of compound intervals such as 10, 11, and 15.

Numbers

Common Conventional Symbols for Figured Bass
Triads
Inversion	Intervals above bass	Symbol	Example
Root position	⁵ ₃	None	${ \override Score.TimeSignature #'stencil = ##f \new PianoStaff << \new Staff << \relative c' { \clef treble \time 3/4 <e g c>4 <c g' c> <c e g> } >> \new Staff << \relative c { \clef bass \time 3/4 c4 e g } \figures { < _ >4 <6> <6 4> } >> >> }$
1st inversion	⁶ ₃	⁶
2nd inversion	⁶ ₄	⁶ ₄
Seventh chords
Inversion	Intervals above bass	Symbol	Example
Root position	75 3	⁷	${ \override Score.TimeSignature #'stencil = ##f \new PianoStaff << \new Staff << \relative c' { \clef treble \time 4/4 <b d f>4 <g d' f> <b f' g > <b d g> } >> \new Staff << \relative c { \clef bass \time 4/4 g4 b d f } \figures { <7>4 <6 5> <4 3> <4 2> } >> >> }$
1st inversion	65 3	⁶ ₅
2nd inversion	64 3	⁴ ₃
3rd inversion	64 2	⁴ ₂ or ²

Contemporary figured bass abbreviations for triads and seventh chords are shown in the table to the right.

The numbers indicate the number of scale steps above the given bass-line that a note should be played.^[1] For example:

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 \clef bass << { c1 } \figures { < 6 4 >1 } >> }$

Here, the bass note is a C, and the numbers 4 and 6 indicate that notes a fourth and a sixth above it should be played, that is an F and an A. In other words, the second inversion of an F major chord can be realized as:

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 \clef bass << { <a f c>1 } >> }$

In cases where the numbers 3 or 5 would normally be understood, these are usually left out. For example:

${ \override Score.TimeSignature #'stencil = ##f \clef bass << { \cadenzaOn c1 b, g, } \figures { < _ >1 < 6 > < 7 > } >> }$

has the same meaning as

${ \override Score.TimeSignature #'stencil = ##f \clef bass << { \cadenzaOn c1 b, g, } \figures { < 5 3 >1 < 6 3 > < 7 5 3 > } >> }$

and can be realized as

${ \override Score.TimeSignature #'stencil = ##f \clef bass \cadenzaOn <c e g>1 <b, d g> <g, b, d f> }$

although the performer may choose which octave to play the notes in and will often elaborate them in some way, such as by playing them as arpeggios rather than as block chords, or by adding improvised ornaments, depending on the tempo and texture of the music.

Sometimes, other numbers are omitted: a 2 on its own or ⁴
₂ indicates 64
2 , for example. From the figured bass-writer's perspective, this bass note is obviously a third inversion seventh chord, so the sixth interval is viewed as an interval that the player should automatically infer. In many cases entire figures can be left out, usually where the chord is obvious from the progression or the melody.

Sometimes the chord changes but the bass note itself is held. In these cases the figures for the new chord are written wherever in the bar they are meant to occur.

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 << { a'2 g' } \new Staff { \clef bass { c1 } } \figures { < 6 >2 < 5 > } >> }$

can be realized as

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 << { a'2 g' } \new Staff { \clef bass << { <a e>2 <c' e> } \\ { c1 } >> } >> }$

When the bass note changes but the notes in the chord above it are to be held, a line is drawn next to the figure or figures, for as long as the chord is to be held, to indicate this:

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 \clef bass << { c2 b, } \figures { \bassFigureExtendersOn < 6 >2 < 6> } >> }$

can be realized as

${ \override Score.TimeSignature #'stencil = ##f \time 6/4 \clef bass << { <e a>1 } \\ { c2 b, } >> }$

Note that when the bass moves the chord intervals have effectively changed, in this case from ⁶
₃ to ⁷
₄, but no additional numbers are written.

Accidentals

When an accidental is shown on its own without a number, it applies to the note a third above the lowest note; most commonly, this is the third of the chord.^[2] Otherwise, if a number is shown, the accidental affects the said interval.^[1] For example, this, showing the widespread default meaning of an accidental without number as applying to the third above the bass:

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \clef bass << { e1 c } \figures { < _+ >1 < 6- _- > } >> }$

can be realized as

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \clef bass <e gis b>1 <c ees aes> }$

Sometimes the accidental is placed after the number rather than before it.

Alternatively, a cross placed next to a number indicates that the pitch of that note should be raised (augmented) by a semitone (so that if it is normally a flat it becomes a natural, and if it is normally a natural it becomes a sharp). A different way to indicate this is to draw a backslash through the number itself.^[2] The following three notations, therefore, all indicate the same thing:

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \key c \minor \clef bass << { c1 c c } \figures { < 6! >1 < 6\+ > <6\\> } >> }$

can all be realized as

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \key c \minor \clef bass << { <c ees a>1 } >> }$

More rarely, a forward slash through a number indicates that a pitch is to be lowered (diminished) by a semitone: ^{[citation needed]}

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \key c \minor \clef bass << { c1 c } \figures { < 5- >1 < 5/ > } >> }$

can both be realized as

${ \override Score.TimeSignature #'stencil = ##f \time 4/4 \key c \minor \clef bass << { <c ees ges>1 } >> }$

When sharps or flats are used with key signatures, they may have a slightly different meaning, especially in 17th-century music. A sharp might be used to cancel a flat in the key signature, or vice versa, instead of a natural sign.

Example in context

History

Basso continuo, though an essential structural and identifying element of the Baroque period, continued to be used in many works, mostly (but not limited to) sacred choral works, of the classical period (up to around 1800).^[3]^{[failed verification]} An example is C. P. E. Bach's Concerto in D minor for flute, strings and basso continuo. Examples of its use in the 19th century are rarer, but they do exist: masses by Anton Bruckner, Beethoven, and Franz Schubert, for example, have a basso continuo part that was for an organist.^{[citation needed]}

References

^ ^a ^b Vigil, R. "Figured Bass Notation" (PDF). Retrieved July 14, 2018.
^ ^a ^b Piston, Walter (1987). Harmony, Fifth Edition. New York: W. W. Norton. pp. 84–86. ISBN 978-0-393-95480-7.
^ "Classical Era (1750-1820)", TheGreatHistoryofArts.Weebly.com. Accessed: 27 July 2017.

[:0-1] Vigil, R. "Figured Bass Notation" (PDF). Retrieved July 14, 2018.

[:1-2] Piston, Walter (1987). Harmony, Fifth Edition. New York: W. W. Norton. pp. 84–86. ISBN 978-0-393-95480-7.

[3] "Classical Era (1750-1820)", TheGreatHistoryofArts.Weebly.com. Accessed: 27 July 2017.

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