Voice leading

Voice leading (or part writing) is the linear progression of individual melodic lines (voices or parts) and their interaction with one another to create harmonies, typically in accordance with the principles of common-practice harmony and counterpoint.[1]

{ \new PianoStaff << \new Staff << \new Voice \relative c'' { \stemUp \clef treble \key e \minor \time 4/4 \partial4 a4 b8 a g4 fis e8 fis g4 a b \fermata } \new Voice \relative c' { \stemDown \partial4 d4 d8 dis e4 dis e8 dis e[ g] fis e dis4 } >> \new Staff << \new Voice \relative c' { \stemUp \clef bass \key e \minor \time 4/4 \partial4 a g8 a b4 b b8 a b4 c fis, } \new Voice \relative c { \stemDown \partial4 fis4 g8 fis e4 b'8[ a] g fis e d c4 b_\fermata } >> >> }
A phrase in J. S. Bach's four-part chorale, Schau, lieber Gott, wie meine Feind (mm. 5–6). The four voices (SATB) each follow independent melodic lines (with some differences in rhythm) that together create a chord progression ending on a Phrygian half cadence.

Rigorous concern for voice leading is of greatest importance in common-practice music, although jazz and pop music also demonstrate attention to voice leading to varying degrees. In Jazz Theory, Gabriel Sakuma writes that "[a]t the surface level, jazz voice-leading conventions seem more relaxed than they are in common-practice music."[2] Marc Schonbrun also states that while it is untrue that "popular music has no voice leading in it, [...] the largest amount of popular music is simply conceived with chords as blocks of information, and melodies are layered on top of the chords."[3]

Example

The score below shows the first four measures of the C-major prelude from J.S. Bach's The Well-Tempered Clavier, Book 1. Letter (a) presents the original score while (b) and (c) present reductions (simplified versions) intended to clarify the harmony and implied voice leading, respectively.

{ #(set-global-staff-size 14) << \new PianoStaff << \new Staff << \set PianoStaff.instrumentName = #"a" \clef treble \key c \major \time 4/4 \new Voice \relative c'' { \voiceOne r8^\markup { "Original score" } g16 c e g, c e r8 g,16 c e g, c e r8 a,16 d f a, d f r8 a,16 d f a, d f r8 g,16 d' f g, d' f r8 g,16 d' f g, d' f r8 g,16 c e g, c e r8 g,16 c e g, c e } \new Voice \relative c' { \voiceTwo r16 e8._~ e4 r16 e8._~ e4 r16 d8._~ d4 r16 d8._~ d4 r16 d8._~ d4 r16 d8._~ d4 r16 e8._~ e4 r16 e8._~ e4 } >> \new Staff << \clef bass \key c \major \time 4/4 \new Voice \relative c' { c2 c c c b b c c } >> >> \new PianoStaff << \override PianoStaff.SystemStartBrace.collapse-height = #4 \override Score.SystemStartBar.collapse-height = #4 \new Staff << \set Staff.instrumentName = #"b" \relative c' { \clef treble \key c \major \time 4/4 <c e g c e>1^\markup { "Harmony (block chords)" } <c d a' d f> <b d g d' f> <c e g c e> } \addlyrics { I II V I } >> >> \new PianoStaff << \new Staff << \set PianoStaff.instrumentName = #"c" \clef treble \key c \major \time 4/4 \new Voice \relative c'' { \voiceThree e2^\markup { "Implied voice leading" } s f( s f) s e s } \new Voice \relative c'' { \voiceFour c2 s d( s d) s c s } \new Voice \relative c'' { \voiceTwo g2 s a s g( s g) s } >> \new Staff << \clef bass \key c \major \time 4/4 \new Voice \relative c' { \voiceThree e2 s d( s d) s e s } \new Voice \relative c' { \voiceFour c2( s c) s b s c s } >> >> >> }

In (b), the same measures are presented as four block chords (with two inverted): I – II4
2 – V6
5 – I.

In (c), the four measures are presented as five horizontal voices identified by the direction of the stems (which are added even though the notes are actually whole notes). Notice that each voice consists of just three notes: from top to bottom, (1) E F — E; (2) C D — C; (3) G A G —; (4) E D — E; (5) C — B C. The four chords result from the fact that the voices do not move at the same time.

History

Voice leading developed as an independent concept when Heinrich Schenker stressed its importance in "free counterpoint", as opposed to strict counterpoint. He wrote:

All musical technique is derived from two basic ingredients: voice leading and the progression of scale degrees [i.e. of harmonic roots]. Of the two, voice leading is the earlier and the more original element.[4]
The theory of voice leading is to be presented here as a discipline unified in itself; that is, I shall show how […] it everywhere maintains its inner unity.[5]

Schenker indeed did not present the rules of voice leading merely as contrapuntal rules, but showed how they are inseparable from the rules of harmony and how they form one of the most essential aspects of musical composition.[6] (See Schenkerian analysis: voice leading.)

Common-practice conventions and pedagogy

Chord connection
{ \new PianoStaff << \new Staff << \relative c' { \clef treble \key b \minor \time 4/4 <d b'>2 <cis ais'> <d b'>1 } >> \new Staff << \relative c { \clef bass \key b \minor \time 4/4 <b fis'>2 <fis' cis'> <b, fis'>1 \bar "||" } >> >> }
An example of parallel fifth in the two lower voices.[7]

Western musicians have tended to teach voice leading by focusing on connecting adjacent harmonies because that skill is foundational to meeting larger, structural objectives. Common-practice conventions dictate that melodic lines should be smooth and independent. To be smooth, they should be primarily conjunct (stepwise), avoid leaps that are difficult to sing, approach and follow leaps with movement in the opposite direction, and correctly handle tendency tones (primarily, the leading-tone, but also the scale degree 4, which often moves down to scale degree 3).[8] To be independent, they should avoid parallel fifths and octaves.

Contrapuntal conventions likewise consider permitted or forbidden melodic intervals in individual parts, intervals between parts, the direction of the movement of the voices with respect to each other, etc. Whether dealing with counterpoint or harmony, these conventions emerge not only from a desire to create easy-to-sing parts[9] but also from the constraints of tonal materials[10] and from the objectives behind writing certain textures.

These conventions are discussed in more detail below.

  1. Move each voice the shortest distance possible. One of the main conventions of common-practice part-writing is that, between successive harmonies, voices should avoid leaps and retain common tones as much as possible. This principle was commonly discussed among 17th- and 18th-century musicians as a rule of thumb. For example, Rameau taught "one cannot pass from one note to another but by that which is closest."[11] In the 19th century, as music pedagogy became a more theoretical discipline in some parts of Europe, the 18th-century rule of thumb became codified into a more strict definition. Organist Johann August Dürrnberger coined the term "rule of the shortest way" for it and delineated that:
    1. When a chord contains one or more notes that will be reused in the chords immediately following, then these notes should remain, that is retained in the respective parts.
    2. The parts which do not remain, follow the law of the shortest way (Gesetze des nächsten Weges), that is that each such part names the note of the following chord closest to itself if no forbidden succession arises from this.
    3. If no note at all is present in a chord which can be reused in the chord immediately following, one must apply contrary motion according to the law of the shortest way, that is, if the root progresses upwards, the accompanying parts must move downwards, or inversely, if the root progresses downwards, the other parts move upwards and, in both cases, to the note of the following chord closest to them.[12]

    This rule was taught by Bruckner[13] to Schoenberg and Schenker, who both had followed his classes in Vienna.[14] Schenker re-conceived the principle as the "rule of melodic fluency":

    If one wants to avoid the dangers produced by larger intervals [...], the best remedy is simply to interrupt the series of leaps – that is, to prevent a second leap from occurring by continuing with a second or an only slightly larger interval after the first leap; or one may change the direction of the second interval altogether; finally both means can be used in combination. Such procedures yield a kind of wave-like melodic line which as a whole represents an animated entity, and which, with its ascending and descending curves, appears balanced in all its individual component parts. This kind of line manifests what is called melodic fluency [Fließender Gesang].[15]

    Schenker attributed the rule to Cherubini, but this is the result of a somewhat inexact German translation. Cherubini only said that conjunct movement should be preferred.[16] Franz Stoepel, the German translator, used the expression Fließender Gesang to translate mouvement conjoint.[17] The concept of Fließender Gesang is a common concept of German counterpoint theory.[18] Modern Schenkerians made the concept of "melodic fluency" an important one in their teaching of voice leading.[19]
  2. Voice crossing should be avoided except to create melodic interest.[20]
  3. Avoid parallel fifths and octaves. To promote voice independence, melodic lines should avoid parallel unisons, parallel fifths, and parallel octaves between any two voices.[21] They should also avoid hidden consecutives, perfect intervals reached by any two voices moving in the same direction, even if not by the same interval, particularly if the higher of the two voices makes a disjunct motion.[22] In organ registers, certain interval combinations and chords are activated by a single key so that playing a melody results in parallel voice leading. These voices, losing independence, are fused into one and the parallel chords are perceived as single tones with a new timbre. This effect is also used in orchestral arrangements; for instance, in Ravel's Boléro #5 the parallel parts of flutes, horn and celesta resemble the sound of an electric organ. In counterpoint, parallel voices are prohibited because they violate the homogeneity of musical texture when independent voices occasionally disappear turning into a new timbre quality and vice versa.[23][24]

Harmonic roles
A modern perspective on voice leading in mm. 3–7 of J. S. Bach's Little Prelude in E minor, BWV 941. From the last chord of each measure to the first chord of the next, all melodic movements (excepting those in the bass) are conjunct; inside each measure, however, octave shifts account for a more complex parsimonious voice leading.[25]
Original
Reduction

As the Renaissance gave way to the Baroque era in the 1600s, part writing reflected the increasing stratification of harmonic roles. This differentiation between outer and inner voices was an outgrowth of both tonality and homophony. In this new Baroque style, the outer voices took a commanding role in determining the flow of the music and tended to move more often by leaps. Inner voices tended to move stepwise or repeat common tones.

A Schenkerian analysis perspective on these roles shifts the discussion somewhat from "outer and inner voices" to "upper and bass voices." Although the outer voices still play the dominant, form-defining role in this view, the leading soprano voice is often seen as a composite line that draws on the voice leadings in each of the upper voices of the imaginary continuo.[26] Approaching harmony from a non-Schenkerian perspective, Dmitri Tymoczko nonetheless also demonstrates such "3+1" voice leading, where "three voices articulate a strongly crossing-free voice leading between complete triads [...], while a fourth voice adds doublings," as a feature of tonal writing.[27]

Neo-Riemannian theory examines another facet of this principle. That theory decomposes movements from one chord to another into one or several "parsimonious movements" between pitch classes instead of actual pitches (i.e., neglecting octave shifts).[28] Such analysis shows the deeper continuity underneath surface disjunctions, as in the Bach example from BWV 941 hereby.

References
  1. Clendinning, Jane (2011). The Musicians Guide to Theory and Analysis. Norton. p. A73.
  2. Terefenko, Dariusz (2014). Jazz Theory: From Basic to Advanced Study, p. 33. Routledge. ISBN 9781135043018.
  3. Schonbrun, Marc (2011). The Everything Music Theory Book, pp. 149, 174. Adams Media. ISBN 9781440511820.
  4. Schenker, Heinrich. Counterpoint, vol. I, translated by J. Rothgeb and J. Thym, New York, Schirmer, 1987, p. xxv.
  5. Schenker, Heinrich. Counterpoint, vol. I, transl. (1987), p. xxx.
  6. "[Schenker's] theory of Auskomponierung ['Elaboration'] shows voice-leading as the means by which the chord, as a harmonic concept, is made to unfold and extend in time. This, indeed, is the essence of music". Oswald Jonas, "Introduction" to Heinrich Schenker, Harmony, transl. by E. Mann Borgese, ed. by Oswald Jonas, Chicago, The University of Chicago Press, 1954, p. ix; "Heinrich Schenker has shown the correct relationship between the horizontal [counterpoint] and the vertical [harmony]. His theory is drawn from a profound understanding of the masterpieces of music [...]. Thus he indicates to us the way: to satisfy the demands of harmony while mastering the task of voice-leading," id., p. xv.
  7. Kostka, Stefan; Payne, Dorothy (2004). Tonal Harmony (5th ed.). Boston: McGraw-Hill. pp. 78. ISBN 0072852607. OCLC 51613969.
  8. Kostka, p. 71–72.
  9. Bartlette, Christopher, and Steven G. Laitz (2010). Graduate Review of Tonal Theory. New York: Oxford University Press, pp. 47–50. ISBN 978-0-19-537698-2
  10. Tymoczko, Dmitri (2011). A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. New York: Oxford University Press. ISBN 978-0-19-533667-2
  11. Rameau, Jean-Philippe. Traité de L'Harmonie Reduite à ses Principes naturels, Paris, 1722, Book 4, pp. 186–87: On ne peut passer d'une Notte à une autre que par celle qui en est la plus voisine. An even earlier version can be found in Charles Masson, Nouveau traité des regles pour la composition de la musique, Paris, Ballard, 1705, p. 47: Quand on jouë sur la Basse pour accompagner, les Parties superieures pratiquent tous les Accords qui peuvent être faits sans quitter la corde où ils se trouvent; ou bien elles doivent prendre ceux qu'on peut faire avec le moindre intervalle, soit en montant soit en descendant.
  12. Dürrnberger, Johann August. Elementar-Lehrbuch der Harmonie- und Generalbass-Lehre, Linz, 1841, p. 53.
  13. Bruckner, Anton. Vorlesungen über Harmonielehre und Kontrapunkt an der Universität Wien, E. Schwanzara ed., Vienna, 1950, p. 129. See Robert W. Wason, Viennese Harmonic Theory from Albrechtsberger to Schenker and Schoenberg, Ann Arbor, London, UMI Research Press, 1985, p. 70. ISBN 0-8357-1586-8
  14. Schoenberg, Arnold, Theory of Harmony, trans. Roy E. Carter. Belmont Music Publishers, 1983, 1978 (original quote 1911). p. 39. ISBN 0-520-04944-6. Schoenberg writes: "Thus, the voices will follow (as I once heard Bruckner say) the law of the shortest way".
  15. Schenker, Heinrich. Kontrapunkt, vol. I, 1910, p. 133; Counterpoint, J. Rothgeb and J. Thym transl., New York, Schirmer, 1987, p. 94.
  16. Cherubini, Luigi. Cours de Contrepoint et de Fugue, bilingual ed. French/German, Leipzig and Paris, c. 1835, p. 7.
  17. See Schenkerian analysis.
  18. See for instance Johann Philipp Kirnberger, Die Kunst des reinen Satzes in der Musik, vol. II, Berlin, Königsberg, 1776, p. 82.
  19. Cadwallader, Allen; Gagné, David. Analysis of Tonal Music, 3rd ed., Oxford University Press, 2011, p. 17.
  20. Marvin, Elizabeth West (2011-01-01). The Musician's Guide to Theory and Analysis. W.W. Norton. ISBN 9780393930818. OCLC 320193510.
  21. Miller, Michael (2005). The Complete Idiot's Guide to Music Theory, p. 193. Penguin. ISBN 9781592574377.
  22. Piston, Walter. Harmony, revised edition, Norton & Co, 1948, p. 25.
  23. Tanguiane (Tangian), Andranick (1993). Artificial Perception and Music Recognition. Lecture Notes in Artificial Intelligence. Vol. 746. Berlin-Heidelberg: Springer. ISBN 978-3-540-57394-4.
  24. Tanguiane (Tangian), Andranick (1994). "A principle of correlativity of perception and its application to music recognition". Music Perception. 11 (4): 465–502. doi:10.2307/40285634. JSTOR 40285634.
  25. Meeùs, Nicolas (2018) "Übergreifen", Gamut: The Journal of the Music Theory Society of the Mid-Atlantic, vol. 8, iss. 1, article 6, p. 118, Example 13a.
  26. Cadwaller, Allan; Gagne, David (2010). Analysis of Tonal Music: A Schenkerian Approach. Oxford University Press. ISBN 978-0199732470.
  27. Tymoczko, Dmitri (2011). A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. New York: Oxford University Press. pp. 204–07. ISBN 978-0-19-533667-2.
  28. Richard Cohn, "Neo-Riemannian Operations, Parsimonious Trichords, and their 'Tonnetz' Representations", note 4, writes that the term "parsimony" is used in this context in Ottokar Hostinský, Die Lehre von den musikalischen Klangen, Prag, H. Dominicus, 1879, p. 106. Cohn considers the principe of parsimony to be the same thing as the "law of the shortest way", but this is only partly true.

Further reading
  • McAdams, S. and Bregman, A. (1979). "Hearing musical streams", in Computer Music Journal 3(4): 26–44 and in Roads, C. and Strawn, J., eds. (1985). Foundations of Computer Music, p. 658–698. Cambridge, Massachusetts: MIT Press.
  • "Voice Leading Overview", Harmony.org.uk.
  • Voice Leading: The Science Behind a Musical Art by David Huron, 2016, MIT Press
  • "Mathematical Musick – The Contrapuntal Formula of Dr. Thomas Campion" by Jeff Lee, shipbrook.net
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