Sequence (music)

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Sequence ascending from C tonal.png
Sequence ascending by step Loudspeaker.svg Play  . There are only four segments, continuingly higher, and that the segments continue by similar distance (seconds: C-D, D-E, etc.).
Sequence ascending from C real.png
Real, rather than tonal, sequence. Loudspeaker.svg Play  
Melodic sequence on the lines "Send her victorious," and "Happy and glorious," from "God Save the Queen" Play (help*info) God Save the Queen melodic sequence.png
Melodic sequence on the lines "Send her victorious," and "Happy and glorious," from "God Save the Queen" Loudspeaker.svg Play  

In music, a sequence is the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice. [1] It is one of the most common and simple methods of elaborating a melody in eighteenth and nineteenth century classical music [1] (Classical period and Romantic music). Characteristics of sequences: [1]

Contents

It is possible for melody or harmony to form a sequence without the other participating.

There are many types of sequences, each with a unique pattern. Listed below are some examples.

Melodic sequences

In a melody, a real sequence is a sequence where the subsequent segments are exact transpositions of the first segment, while a tonal sequence is a sequence where the subsequent segments are diatonic transpositions of the first. The following passage from J.S. Bach demonstrates both kinds of sequence at work:

J.S. Bach Concerto for Two Violins in D minor, first movement, bars 22-24
J.S. Bach's Concerto for Two Violins in D minor, first movement, bars 22-24 J.S. Bach Concerto for Two Violins in D minor, first movement, bars 22-24.png
J.S. Bach's Concerto for Two Violins in D minor, first movement, bars 22-24

Note: In the example image above, the annotation "the intervals in the second sequence are the same as in the first" is not entirely correct. The descending pitches in the first segment (G to A), have different intervals than in the second segment (C to D). The difference being in the last three pitches (C, B, A versus F, E, D). We have whole-step + half-step intervals in the first, and half-step + whole-step in the second. A rhythmic sequence is the repetition of a rhythm with free use of pitches:

The opening bars of "The Star-Spangled Banner"
Opening bars of "The Star-Spangled Banner" Star-spagled Banner opening bars.png
Opening bars of "The Star-Spangled Banner"

A modified sequence is a sequence where the subsequent segments are decorated or embellished so as to not destroy the character of the original segment:

From "The Star-Spangled Banner"
From "The Star-Spangled Banner" The Star-spangled Banner bars 25-28.png
From "The Star-Spangled Banner"

A false sequence is a literal repetition of the beginning of a figure and stating the rest in sequence: [1]

J.S. Bach Prelude from Cello Suite in G
J.S. Bach Prelude from Cello Suite in G, BWV 1007 Bach Prelude from Cello Suite in G.png
J.S. Bach Prelude from Cello Suite in G, BWV 1007

A modulating sequence is a sequence that leads from one tonal center to the next, with each segment technically being in a different key in some sequences: [2]

Mozart Minuet in F, K 5
Mozart Minuet in F K6 Mozart Minuet in F K6.png
Mozart Minuet in F K6

The above passage starts in F major and modulates to Bb major and then, via the chord of G, to C major. Sometimes sequential passages combine more than one of the above characteristics. In the third and fourth bars of the “Air” from J.S. Bach’s Orchestral Suite No. 3 in D major, the violin part forms a tonal sequence with the notes modified to fit the harmony, while the intervals in the bass line are unchanged, creating a real sequence. The whole passage also forms a modulating sequence, starting in D major and moving through E minor at the start of the fourth bar:

Bach Air from Suite 3
from J.S. Bach's the "Air" from the Suite 3 in D, BWV 1068, bars 3-4 Bach Air from Suite 3 in D extract.png
from J.S. Bach's the "Air" from the Suite 3 in D, BWV 1068, bars 3-4

A sequence can be described according to its direction (ascending or descending in pitch) and its adherence to the diatonic scale—that is, the sequence is diatonic if the pitches remain within the scale, or chromatic (or non-diatonic) if pitches outside of the diatonic scale are used and especially if all pitches are shifted by exactly the same interval (i.e., they are transposed). The non-diatonic sequence tends to modulate to a new tonality or to cause temporarily tonicization.

At least two instances of a sequential pattern—including the original statement—are required to identify a sequence, and the pattern should be based on several melody notes or at least two successive harmonies (chords). Although stereotypically associated with Baroque music, and especially the music of Antonio Vivaldi, this device is widespread throughout Western music history.

The device of sequence epitomises both the goal-directed and the hierarchical nature of common-practice tonality. It is particularly prevalent in passages involving extension or elaboration; indeed, because of its inherently directed nature, it was (and still is) often pulled from the shelf by the less imaginative tonal composer as the stock response to a need for transitional or developmental activity. Whether dull or masterly, however, the emphasis is on the underlying process rather than the material itself.

Christopher Mark (2006), [3]

Ritornellos and the amplification from melodies to Baroque lyrics are often built from sequences. [4]

Harmonic sequences

Descending fifths

Descending fifths sequences, also known as "circle of fifths" sequences, are the most commonly used types of sequences, [5] singular extended in some works of Claudio Monteverdi and Heinrich Schütz. [6] It usually consists of a series of chords whose bass or "root" notes follow a pattern of descending fifths (or ascending fourths).

For example, if a descending fifths sequence in C major starts with the note C, the next note will be F, a perfect fifth below the first note. The next few notes will be B, E, A, D and so on, following a pattern of descending fifths. [7]

A descending fifths sequence in C major. Notice the "circle of fifths" pattern in the lower staff.Play (help*info) Descendingfifths.PNG
A descending fifths sequence in C major. Notice the "circle of fifths" pattern in the lower staff. Loudspeaker.svg Play  

Ascending fifths

The ascending fifths sequence, contrary to the descending fifths sequence, consists of a pattern of ascending fifths (or descending fourths). It is much less common than the descending fifths sequence. [5]

An ascending fifths sequence in C major. Notice the "circle of fifths" pattern in the lower staff similar to the descending fifths sequence, except going in the opposite direction.Play (help*info) Ascendingfifths.PNG
An ascending fifths sequence in C major. Notice the "circle of fifths" pattern in the lower staff similar to the descending fifths sequence, except going in the opposite direction. Loudspeaker.svg Play  

Descending 5-6

The descending 5-6 sequences, also known as descending third sequences, consist of a series of chords whose root notes descend by a third each sequential repetition. [8]

The basic pattern of a descending 5-6 sequence (with intervening chords removed) in C major. The pattern in the lower staff descends by a third each time in this sequence.Play (help*info) Descendingthirds.PNG
The basic pattern of a descending 5-6 sequence (with intervening chords removed) in C major. The pattern in the lower staff descends by a third each time in this sequence. Loudspeaker.svg Play  

The sequence is almost never unadorned as shown above, but is generally filled in with intervening chords. [5] The standard way of filling in this descending thirds pattern is to interpolate a first inversion chord in between each of these descents by thirds. The result is a bass line that moves down continuously stepwise, resulting in a figured bass of '5-6', and therefore, the standard descending 5-6 sequence. [7] [8]

Descending 5-6 sequence with every other chord in first inversion. Notice the continuous bass line in the lower staff. Play (help*info) Pachelbelsequence2.PNG
Descending 5-6 sequence with every other chord in first inversion. Notice the continuous bass line in the lower staff. Loudspeaker.svg Play  

An important subtype of the descending 5-6 sequence is the root position variant, also known as the Pachelbel sequence, due to the use of this sequence in Pachelbel's Canon. The Pachelbel sequence changes the first inversion chords in the descending 5-6 sequence to root position chords, resulting in a bass pattern that moves down a fourth, and then up stepwise. [7] [8]

The root position variant of the descending 5-6 sequence used in Pachelbel's Canon. The last two chords are not part of the sequence, but constitute a cadence. Play (help*info) Pachelbelsequence.PNG
The root position variant of the descending 5-6 sequence used in Pachelbel's Canon. The last two chords are not part of the sequence, but constitute a cadence. Loudspeaker.svg Play  

Ascending 5-6

The ascending 5-6 sequence, like the ascending fifths sequence, adorns a stepwise ascent. It follows a root movement pattern of down a third (usually to a first inversion chord sharing the same bass note as the first note) followed by a root movement up a fourth. This is often accomplished through an alternation of root position and first inversion chords. The figured bass is the same as the descending 5-6 sequence, but the bass itself follows an ascending pattern rather than a descending pattern. [8]

Image of the ascending 5-6 sequence in music Ascending56sequence.png
Image of the ascending 5-6 sequence in music

The use of a similar 5-6 pattern outside of sequence is fairly common and is called 5-6 technique.

Less common sequences

The Sound of Music (also known as Rosalia) sequence features root movement up a fourth followed by root movement down a third. Both chords are in root position. The sequence is very similar to the ascending 5-6 sequence since it also allows for an overall stepwise ascent between parallel triads, much like the ascending 5-6. [7] [8]

The “Sisyphus Sequence” (term coined by John H. Benson, professor of Music Theory at Lawrence University), is an ascending sequence. It sounds like a ball being rolled up a hill, as described in the story of Sisyphus in Greek Mythology.

Examples

Sequence in J.S. Bach's Fugue in G major BWV 860, mm. 17-19, also considered a bridge.
Play (help*info) MusikSequenz.png
Sequence in J.S. Bach's Fugue in G major BWV 860, mm. 17-19, also considered a bridge. Loudspeaker.svg Play  

A well-known popular example of a threefold descending fifths diatonic sequence is found in the refrain from the Christmas carol "Angels We Have Heard on High," [4] as illustrated immediately below ("Glo...ria in excelsis Deo"). The one-measure melodic motive is shifted downward at the interval of a second, and the harmonic aspect does so likewise by following the circle of fifths Loudspeaker.svg Play  :

AngelsWe Gloria.png

The following threefold ascending 5-6 chromatic (non-diatonic) sequence occurs in the duet of Abubeker and Fatima from Act III of César Cui's opera Prisoner of the Caucasus (compare a similar passage in the famous Rodgers and Hammerstein song "Do-Re-Mi," composed almost exactly 100 years later) Loudspeaker.svg Play  :

Cui Kav 20 1Russ pv0007 1000.png

Handel's "For Unto Us a Child is Born" (HWV 56) relies quite heavily on both melodic and harmonic sequencing, as can be seen in the following excerpt. In this vocal reduction, the soprano and alto lines reiterate a florid two-beat melodic motif for three and a half bars in a series of melodic sequences on the word "born." More subtle, though still present, is the underlying ascending 5-6 harmonic sequence. Loudspeaker.svg Play  

Handel Messiah - For Unto Us a Child is Born excerpt.png

Other examples include Handel's "Ev'ry valley shall be exalted" ("exalted") from Messiah , the opening unison ritornello of J.S. Bach's D-minor harpsichord concerto. [4] Another can be found in Arcangelo Corelli's sonata de camera gigue in Em. Here the composer sequences up in pitch after cadencing on a V.

See also

Related Research Articles

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In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.

In music theory, a leading-tone is a note or pitch which resolves or "leads" to a note one semitone higher or lower, being a lower and upper leading-tone, respectively. Typically, the leading tone refers to the seventh scale degree of a major scale, a major seventh above the tonic. In the movable do solfège system, the leading-tone is sung as ti.

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<span class="mw-page-title-main">Perfect fourth</span> Musical interval

A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth is the fourth spanning five semitones. For example, the ascending interval from C to the next F is a perfect fourth, because the note F is the fifth semitone above C, and there are four staff positions between C and F. Diminished and augmented fourths span the same number of staff positions, but consist of a different number of semitones.

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<span class="mw-page-title-main">Circle of fifths</span> Relationship among tones of the chromatic scale

In music theory, the circle of fifths is a way of organizing the 12 chromatic pitches as a sequence of perfect fifths.. If C is chosen as a starting point, the sequence is: C, G, D, A, E, B, F, C, A, E, B, F. Continuing the pattern from F returns the sequence to its starting point of C. This order places the most closely related key signatures adjacent to one another. It is usually illustrated in the form of a circle.

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References

  1. 1 2 3 4 Benward and Saker (2003). Music: In Theory and Practice, Vol. I, p.111-12. Seventh Edition. ISBN   978-0-07-294262-0.
  2. Benward and Saker (2003), Glossary, p. 363.
  3. Mark, Christopher (2006). "Tippett, Sequence, and Metaphor", Tippett Studies, p. 96. Clarke, David, ed. ISBN   0-521-02683-0.
  4. 1 2 3 Kelly, Thomas Forest (2011). Early Music: A Very Short Introduction, p.53-4. ISBN   978-0-19-973076-6.
  5. 1 2 3 Caplin, William Earl. "Fundamental Progressions of Harmony." Classical Form: A Theory of Formal Functions for the Instrumental Music of Haydn, Mozart and Beethoven. New York: Oxford UP, 2000. 29-31. Print. ISBN   978-0-19-514399-7
  6. Gerald Drebes (1992): Schütz, Monteverdi und die „Vollkommenheit der Musik“ – „Es steh Gott auf“ aus den „Symphoniae sacrae“ II (1647), in: Schütz-Jahrbuch 14, p. 25-55, spec. 40 and 49, online: "Gerald Drebes - 2 Aufsätze online: Monteverdi und H. Schütz". Archived from the original on 2016-03-03. Retrieved 2015-02-07.
  7. 1 2 3 4 Sarnecki, Mark. "Sequences." Harmony. Mississauga, Ont.: Frederick Harris Music, 2010. 116-21. Print. ISBN   978-1-55440-270-0
  8. 1 2 3 4 5 Aldwell and Schachter (2003). Harmony and Voice Leading, p.273-78. Third Edition. ISBN   978-0-15-506242-9.