View source for Variation (music)

{{Short description|Musical form}}
{{redirect|Theme and Variations|the ballet by George Balanchine|Theme and Variations (ballet){{!}}''Theme and Variations'' (ballet)}}
{{redirect|Elaboration (music)|''Ausarbeiten''|Prolongation}}
{{use shortened footnotes|date=February 2025}}
{{use dmy dates||date=February 2025}}
{{CS1 config|mode=cs2}}
{{Listen|type=music
|filename    = Schubert- Impromptu B-flat.ogg
|title       = Schubert – Impromptu in B-flat
|description = [[Franz Schubert|Schubert]]'s Impromptu in B-flat (D 935) No. 3; theme and variations based on a theme from Schubert's ''[[Rosamunde]]''}}
In [[music]], '''variation''' is a [[musical form|formal]] technique where material is [[musical repetition|repeated]] in an altered form. The changes may involve [[melody]], [[rhythm]], [[harmony]], [[counterpoint]], [[timbre]], [[orchestration]] or any combination of these.

Variation is often contrasted with musical [[Development (music)|development]], which is a slightly different means to the same end. Variation depends upon ''one'' type of presentation at a time, while development is carried out upon portions of material treated in ''many'' different presentations and combinations at a time.{{sfn|Wennerstrom|1975}}

==Variation techniques==
[[Wolfgang Amadeus Mozart|Mozart]]'s [[Twelve Variations on "Ah vous dirai-je, Maman"]] (1785), a French folk song known in the English-speaking world as "[[Twinkle, Twinkle, Little Star]]", exemplifies a number of common variation techniques. Here are the first eight bars of the theme:
[[File:Ah je vous dirai maman theme.wav|thumb|Ah je vous dirai maman theme]][[File:Ah je vous dirai maman theme.png|thumb|center|500px|Ah je vous dirai maman theme, bars 1–8]]

===Melodic variation===
Mozart's first variation decorates and elaborates the plain melodic line:
[[File:Ah je vous dirai maman Var 1.wav|thumb|Ah je vous dirai maman, variation&nbsp;1]][[File:Ah je vous dirai maman Var 1.png|thumb|center|500px|Ah je vous dirai maman, variation&nbsp;1]]

===Rhythmic variation===
The fifth variation breaks up the steady pulse and creates [[syncopated]] off-beats:
[[File:Ah je vous dirai maman Var 5.wav|thumb|Ah je vous dirai maman, variation&nbsp;5]][[File:Ah je vous dirai maman Var 5.png|thumb|center|500px|Ah je vous dirai maman, variation&nbsp;5]]

===Harmonic variation===
The seventh variation introduces powerful new [[Chord (music)|chords]], which replace the simple [[Harmony|harmonies]] originally implied by the theme with a prolongational series of descending fifths:
[[File:Ah je vous dirai maman Var 7.wav|thumb|Ah je vous dirai maman, variation&nbsp;7]][[File:Ah je vous dirai maman Var 7.png|thumb|center|500px|Ah je vous dirai maman, variation&nbsp;7]]

===Minor mode===
In the elaborate eighth variation, Mozart changes from the major to the parallel [[Mode (music)|minor mode]], while combining three techniques: [[counterpoint]], [[non-chord tone|suspensions]] and [[imitation (music)|imitation]]:
[[File:Ah je vous dirai maman Var 8.wav|thumb|Ah je vous dirai maman, variation&nbsp;8]][[File:Ah je vous dirai maman Var 8.png|thumb|center|500px|Ah je vous dirai maman, variation&nbsp;8]]

===Other examples===
Variation techniques are frequently used within pieces that are not themselves in the form of theme and variations. For example, when the opening two-bar phrase of Chopin's [[Nocturnes, Op. 55 (Chopin)|Nocturne in F minor]] returns later in the piece, it is instantly repeated as an elegant melodic re-working:
[[File:Chopin Nocturne in F minor.wav|thumb|Chopin Nocturne in F minor]][[File:Chopin - Nocturne in F Minor variation.png|325px|thumb|center|Phrase and variation from Chopin's Nocturne in F minor{{sfn|White|1976|p=63}}]]

[[Claude Debussy|Debussy]]'s piano piece "Reflets dans l'eau" (1905) opens with a sequence of chords:
[[File:Debussy Reflets dans l'Eau opening 2 bars.wav|thumb|Debussy's "Reflets dans l'eau" opening 2 bars]][[File:Debussy Reflets dans l'Eau, opening bars.png|thumb|center|450px|Debussy's "Reflets dans l'eau", opening bars]]
These chords open out into arpeggios when they return later in the piece:
[[File:Debussy Reflets dans l'Eau varied recapitulation of the opening.wav|thumb|Debussy's "Reflets dans l'eau" varied recapitulation of the opening]][[File:Debussy Reflets dans l'Eau, varied recapitulation of the opening.png|thumb|center|500px|Debussy's "Reflets dans l'eau", varied recapitulation of the opening]]

Sometimes melodic variation occurs simultaneously with the original. In [[Ludwig van Beethoven|Beethoven]]'s [[Piano Sonata No. 21 (Beethoven)|"Waldstein" piano sonata]], the main second-subject theme of the opening movement, which is in [[sonata form]], is heard in the pianist's left hand, while the right hand plays a decorated version. (See also [[heterophony]].)
[[File:Beethoven Waldstein sonata 1st movement second subject.wav|thumb|Beethoven's "Waldstein" sonata 1st movement, second subject]][[File:Beethoven Waldstein 1st movement, bars 204-8.png|thumb|center|500px|Beethoven's "Waldstein" sonata, 1st movement, bars 204–208]]

While most variations tend to elaborate on the given theme or idea, there are exceptions. In 1819, [[Anton Diabelli]] commissioned Viennese composers to create variations on a waltz that he had composed:
[[File:Theme by Anton Diabelli.wav|thumb|Theme by Anton Diabelli]][[File:Theme by Anton Diabelli.png|thumb|center|600px|Theme by Anton Diabelli]]

Beethoven contributed a mighty set of [[Diabelli Variations|33 variations]] on this theme. The thirteenth of these stands out in its seemingly wilful eccentricity and determination to reduce the given material to its bare bones:
[[File:Beethoven, Diabelli Variation No. 13.wav|thumb|Beethoven, Diabelli Variation No. 13]][[File:Beethoven, Diabelli Variation No. 13.png|thumb|center|600px|Beethoven, Diabelli Variation No. 13]]

[[Wilfrid Mellers]] describes this variation as "comically disruptive... The original tonal sequence is telescoped, the two-bar sequences being absorbed into the [[silence]]s."{{sfn|Mellers|1983|p=386}}

In a similar fashion, the first of the 24 variations of [[Sergei Rachmaninoff|Rachmaninoff]]'s ''[[Rhapsody on a Theme of Paganini]]'' for piano and orchestra presents a terse summary of [[Niccolò Paganini|Paganini]]'s original.

===Variations on material originally by other composers===
{{main|List of variations on a theme by another composer}}
Many composers have taken pieces composed by others as a basis for elaboration. [[John Dowland]]'s "[[Lachrimae]]" was frequently used by other composers as a basis for sets of variations during the 17th century. Composed in 1700, the final movement of [[Arcangelo Corelli]]'s Violin Sonata Op. 5, No. 9, opens with this rather sparse melodic line:
[[File:Corelli Violin Sonata Op 5 No 9.wav|thumb|Corelli, Violin Sonata Op. 5, No. 9]][[File:Corelli Violin Sonata Op 5 No 9.png|thumb|center|500px|Corelli, Violin Sonata Op. 5, No. 9]]

Corelli's fellow-composer and former student [[Francesco Geminiani]] produced a "playing version"{{sfn|Cook|1990|p=189}} as follows:
[[File:Corelli Violin Sonata Op 5 No 9, performing version by Geminiani.wav|thumb|Corelli, Violin Sonata Op. 5, No. 9, performing version by Geminiani]][[File:Corelli Violin Sonata Op 5 No 9, performing version by Geminiani.png|thumb|center|500px|Corelli, Violin Sonata Op. 5, No. 9, performing version by Geminiani]]

According to [[Nicholas Cook]], in Geminiani's version "all the notes of Corelli's violin line ... are absorbed into a quite new melodic organization. With its characteristic rhythmic pattern, Geminiani's opening is a tune in a way that Corelli's is not... whereas in the original version the first four bars consist of an undifferentiated stream of quarter-notes and make up a single phrase, Geminiani's version has three sequential repetitions of a distinctive one-bar phrase and a contrasted closing phrase, producing a strongly accented down-beat quality."{{sfn|Cook|1990|p=190}}

Jazz arrangers frequently develop variations on themes by other composers. For example, [[Gil Evans]]' 1959 arrangement of [[George Gershwin]]'s song "[[Summertime (George Gershwin song)|Summertime]]" from the opera ''[[Porgy and Bess]]'' is an example of variation through changing orchestral [[timbre]]. At the outset, Evans presents a single variation that repeats five times in subtly differing instrumental combinations. These create a compelling background, a constantly-changing sonic tapestry over which trumpeter [[Miles Davis]] freely improvises his own set of variations. Wilfrid Mellers (1964) wrote that "[i]t called for an improviser of Davis's kind and quality to explore, through Gil Evans' arrangement, the tender frailty inherent in the 'Summer-time' tune... Between them, solo line and harmonic colour create a music that is at once innocent and tense with apprehension".{{sfn|Mellers|1964|p=356}}

==Variation form==
Variation forms include [[ground bass]], [[passacaglia]], [[chaconne]], and theme-and-variations.{{sfn|Copland|2002|p=115}} Ground bass, passacaglia and chaconne are typically based on brief [[ostinato]] motifs providing a repetitive harmonic basis and are also typically continuous evolving structures. Theme-and-variation forms are, however, based specifically on melodic variation, in which the fundamental musical idea, or [[Theme (music)|theme]], is repeated in altered form or accompanied in a different manner. Theme-and-variation structure generally begins with a theme (which is itself sometimes preceded by an introduction), typically between eight and thirty-two bars in length; each variation, particularly in music of the eighteenth century and earlier, will be of the same length and structure as the theme.{{sfn|Sisman|2001}} This form may in part have derived from the practical inventiveness of musicians; "Court dances were long; the tunes which accompanied them were short. Their repetition became intolerably wearisome, and inevitably led the player to indulge in extempore variation and ornament";{{sfn|Raymar|1931|p=5}} however, the format of the dance required these variations to maintain the same duration and shape of the tune.

Variation forms can be written as free-standing pieces for solo instruments or ensembles, or can constitute a [[movement (music)|movement]] of a larger piece. Most jazz music is structured on a basic pattern of theme and variations.{{sfn|Hodeir|2006|p=8}}

Examples include [[John Bull (composer)|John Bull]]'s ''[[Salvator Mundi]]'', [[Johann Sebastian Bach|Bach]]'s ''[[Canonic Variations on "Vom Himmel hoch da komm' ich her"|Canonic Variations on "Vom Himmel hoch da komm' ich her]]'', ''[[Passacaglia and Fugue in C minor, BWV 582|Passacaglia and Fugue in C minor]]'', [[Chaconne in D minor|Violin ''Chaconne'']], and ([[Partita for Violin No. 2 (Bach)|D minor solo violin suite]]), [[Arcangelo Corelli|Corelli]]'s ''[[La Folia]] Variations'', Beethoven's ''[[Diabelli Variations]]'', the Finales of his [[Symphony No. 3 (Beethoven)|Third "Eroica"]] and [[Symphony No. 9 (Beethoven)|Ninth "Choral"]] Symphonies, the Finale of [[Johannes Brahms|Brahms]]'s [[Symphony No. 4 (Brahms)|Fourth Symphony]], ''[[Variations on a Theme by Haydn|Variations on a Theme of Haydn]]'', Op. 56, [[Edward Elgar|Elgar]]'s ''[[Enigma Variations]]'', [[César Franck|Franck]]'s ''[[Symphonic Variations (Franck)|Variations Symphoniques]]'', and [[Richard Strauss]]'s ''[[Don Quixote (Strauss)|Don Quixote]]''.{{sfn|White|1976|p=64–65}} Both [[Franz Schubert|Schubert]]'s [[String Quartet No. 14 (Schubert)|''Death and the Maiden'' Quartet]] and [[Trout Quintet|''Trout'' Quintet]] take their titles from his songs used as variation movements.{{sfn|White|1976|p=64–65}}

Chopin's ''[[Berceuse (Chopin)|Berceuse]]'' for piano, Op. 57, was first called ''Variantes'', and consists of 16 continuous variations on a ground bass.

==History of variations==<!--[[Division (music)]] links directly here-->
Although the first isolated example emerged in the 14th century, works in theme-and-variation form first emerge in the early sixteenth century.{{sfn|Apel|1962|p=784}} Possibly the earliest published example is the ''diferencias'' for [[vihuela]] by [[Luis de Narváez]] (1538).{{sfn|Sisman|2001}} A favorite form of variations in [[Renaissance music]] was ''[[division (music)|divisions]]'', a type in which the basic rhythmic beat is successively divided into smaller and smaller values. The basic principle of beginning with simple variations and moving on to more elaborate ones has always been present in the history of the variation form, since it provides a way of giving an overall shape to a variation set, rather than letting it just form an arbitrary sequence.

Keyboard works in variation form were written by a number of 16th-century English composers, including [[William Byrd]], [[Hugh Aston]] and [[Giles Farnaby]]. Outstanding examples of early [[Baroque music|Baroque]] variations are the "ciaccone" of [[Claudio Monteverdi]] and [[Heinrich Schütz]].{{sfn|Drebes|1992|p=25–55}} Two famous variation sets from the Baroque era, both originally written for [[harpsichord]], are [[George Frideric Handel]]'s ''[[The Harmonious Blacksmith]]'' set, and [[Johann Sebastian Bach]]'s ''[[Goldberg Variations|Goldberg Variations, BWV 988]]''.

In the [[Classical music era|Classical era]], [[Wolfgang Amadeus Mozart]] wrote a great number of variations, such as the first movement of his [[Piano Sonata No. 11 (Mozart)|Piano Sonata in A, K. 331]], or the finale of his [[Clarinet Quintet (Mozart)|Clarinet Quintet]]. [[Joseph Haydn]] specialized in sets of [[double variation]]s, in which two related themes, usually minor and major, are presented and then varied in alternation; outstanding examples are the slow movement of his [[Symphony No. 103 (Haydn)|Symphony No. 103]], the ''Drumroll'', and the [[Variations in F minor]] for piano, H XVII:6.{{sfn|Sisman|2001}}

[[Ludwig van Beethoven]] wrote many variation sets in his career. Some were independent sets, for instance the ''Diabelli'' Variations, Op. 120, and the [[Eroica Variations|''Eroica'' Variations in E{{Music|flat}} major, Op. 35]]. Others form single movements or parts of movements in larger works, such as first movement of the [[Piano Sonata No. 12 (Beethoven)|Piano Sonata No. 12, Op. 26]], or the variations in the final movement of the [[Symphony No. 3 (Beethoven)|Third Symphony (''Eroica'')]]. Variation sets also occur in several of his late works, such as the slow movement of his [[String Quartet No. 12 (Beethoven)|String Quartet No. 12, Op. 127]], the second movement of his final [[Piano Sonata No. 32 (Beethoven)|Piano Sonata No. 32, Op. 111]], and the slow third movement of the [[Symphony No. 9 (Beethoven)|Ninth Symphony, Op.125]].

[[Franz Schubert]] wrote five variation sets using his own [[lied]]er as themes. Amongst them is the slow movement of his string quartet ''[[String Quartet No. 14 (Schubert)|Death and the Maiden]]'' D. 810, an intense set of variations on his somber lied (D. 531) of the same title. Schubert's [[Piano Quintet in A (Schubert)|Piano Quintet in A]] (''The Trout'', D. 667) likewise includes variations on his song ''[[Die Forelle|The Trout]]'' D. 550. The second movement of the [[Wanderer Fantasy|Fantasie in C major]] comprises a set of variations on ''[[Der Wanderer]]''; indeed the work as a whole takes its popular name from the lied.

In the [[Romantic music|Romantic]] era, the variation form was developed further. In 1824, [[Carl Czerny]] premiered his Variations for piano and orchestra on the Austrian National Hymn ''Gott erhalte Franz der Kaiser'', Op. 73.{{sfn|Biba}} [[Frédéric Chopin]] wrote four sets for solo piano, and also the [[Variations on "Là ci darem la mano" (Chopin)|Variations on "La ci darem la mano"]] from [[Wolfgang Amadeus Mozart|Mozart]]'s opera ''[[Don Giovanni]]'', Op. 2, for piano and orchestra (1827). [[Charles-Valentin Alkan]] wrote multiple variations in his early works. A further example of the form is [[Felix Mendelssohn]]'s ''[[Variations sérieuses]]''.

[[Johannes Brahms]] wrote a number of sets of variations; some of them rely on themes by older composers, for example the [[Variations and Fugue on a Theme by Handel]] (1861; piano), and the [[Variations on a Theme by Haydn]] (1873; orchestra). The latter work is believed to be the first set of variations for orchestra alone that was a work in its own right, rather than part of a symphony, suite or other larger work.{{sfn|McCorkle|1976|p=5}} [[Karl Goldmark]]'s ''[[Rustic Wedding Symphony]]'' (1875) starts out with a set of variations as its first movement. [[Antonín Dvořák]]'s ''[[Symphonic Variations (Dvořák)|Symphonic Variations]]'' (1877) and [[Edward Elgar]]'s ''[[Enigma Variations]]'' (1899) are other well-known examples. [[Anton Arensky]]'s ''[[Variations on a Theme by Tchaikovsky (Arensky)|Variations on a Theme by Tchaikovsky]]'' (1894) is among his most popular compositions.

Variation sets have also been composed by notable twentieth-century composers, including

* [[Sergei Rachmaninoff]] (''[[Rhapsody on a Theme of Paganini]]'' for piano and orchestra, and his variations for solo piano on themes by [[Variations on a Theme of Chopin (Rachmaninoff)|Chopin]] and [[Variations on a Theme of Corelli|Corelli]]), 
* [[Charles Ives]] (''[[Variations on "America"]]'', 1891), 
* [[Ernst von Dohnányi]] ([[Variations on a Nursery Tune (Dohnányi)|Variations on a Nursery Tune]] for piano and orchestra, Op. 25, 1914), 
* [[Arnold Schoenberg]] ([[Variations for Orchestra (Schoenberg)|Variations for Orchestra]], Op. 31, and Theme and Variations, Opp. 43a and 43b), 
* [[Igor Stravinsky]] (''[[Pulcinella (ballet)|Pulcinella]]'': XV Gavotta con due variazioni, 1920; [[Octet (music)|Octet]]: II Tema con variazioni, 1922; ''[[Ebony Concerto (Stravinsky)|Ebony Concerto]]'': III, 1945; and ''[[Variations (Stravinsky)|Variations: Aldous Huxley in memoriam]]'', 1963–64), 
* [[Alban Berg]] (act 1, scene 4 and the beginning of act 3, scene 1 of ''[[Wozzeck]]'', act 3 interlude in ''[[Lulu (opera)|Lulu]]'')
* [[Olivier Messiaen]] (''[[Thème et variations (Messiaen)|Thème et variations]]'' for violin and piano, 1932), 
* [[Miklós Rózsa]], Theme, Variations, and Finale (1933), 
* [[George Gershwin]] ([[Variations on "I Got Rhythm"]] for piano and orchestra, 1934), 
* [[Anton Webern]] ([[Variations for piano (Webern)|Variations]], Op. 27 for piano, and Variations, Op. 30 for orchestra), 
* [[Reinhold Glière]] ([[Harp Concerto (Glière)|Harp Concerto in E{{music|flat}}]]: II, 1938), 
* [[Paul Hindemith]] (''[[Symphonic Metamorphosis of Themes by Carl Maria von Weber]]'', 1943), 
* [[Benjamin Britten]] (including the ''[[Variations on a Theme of Frank Bridge]]'', 1937, and ''[[The Young Person's Guide to the Orchestra]]'' [Variations and Fugue on a Theme by Purcell], 1946), 
* [[William Walton]] (second movement of the Sonata for Violin and Piano, 1947–49, and [[Variations on a Theme by Hindemith]], 1963), 
* [[Leonard Bernstein]] (part 1 of his [[Symphony No. 2 (Bernstein)|Symphony No. 2: The Age of Anxiety]], 1949, is a Prologue and 14 variations), 
* [[Luigi Nono]] (''Variazioni canoniche sulla serie dell'op. 41 di A. Schönberg'', 1950), 
* [[John Cage]], [[Variations (Cage)|Variations I–VIII]] (1958–67), ''Hymns and Variations'', for twelve amplified voices (1979), 
* [[Ben Johnston (composer)|Ben Johnston]], String Quartet No. 4 "Ascent" (Variations on "Amazing Grace", 1973), 
* [[Frederic Rzewski]], ''[[The People United Will Never Be Defeated!]]'' (1975), 
* [[Frans Geysen]], ''De grote variatie'' for organ (1975), 
* [[Cristóbal Halffter]], ''Variaciones sobre la resonancia de un grito'', for 11 instruments, tape, and live electronics (1976–77), 
* [[Andrew Lloyd Webber]], [[Variations (Andrew Lloyd Webber album)|Variations]] for cello and rock band (1977), 
* [[Steve Reich]] ([[Variations for Winds, Strings and Keyboards]], 1979), 
* [[John McGuire (composer)|John McGuire]], Forty-eight Variations, for two pianos (1976–80), and 
* [[John Williams]], Variations on "Happy Birthday" for orchestra (1995).
* [[Sergei Prokofiev]], Cello Concerto, Op. 58 (and loosely Sinfonia Concertante, Op. 125), final movement
* [[Tiny Tim (musician)|Tiny Tim]], Rebel Yell (1991)

An unusual option was taken in 1952 with the [[Variations on an Elizabethan Theme]], a set of six variations on Sellenger's Round for string orchestra, in which each variation was written by a different composer: [[Lennox Berkeley]], [[Benjamin Britten]], [[Arthur Oldham]], [[Humphrey Searle]], [[Michael Tippett]], and [[William Walton]].

[[Graham Waterhouse]] composed a trio ''[[Gestural Variations]]'' in 1997 and ''[[Variations for Cello Solo]]'' in 2019, and [[Helmut Lachenmann]] composed a trio ''[[Sakura-Variationen]]'' on the Japanese song in 2000.

A significant sub-set of the above consists of [[List of variations on a theme by another composer|variations on a theme by another composer]].

==Improvised variations==
Skilled musicians can often [[improvise]] variations on a theme. This was commonplace in the [[Baroque music|Baroque]] era, when the [[da capo aria]], particularly when in slow tempo, required the singer to be able to improvise a variation during the return of the main material. During this period, according to Nicholas Cook, it was often the case that "responsibility for the most highly elaborated stage in the compositional process fell not upon the composer but upon the executant. In their instrumental sonatas composers like Corelli, Geminiani, and Handel sometimes supplied the performer with only the skeleton of the music that was to be played; the ornamentation, which contributes crucially to the music's effect, had to be provided by the performer." Cook cites Geminiani's elaboration of Corelli (see above) as an example of an instance "in which the composer, or a performer, wrote down a version of one of these movements as it was meant to be played."{{sfn|Cook|1990|p=189}}

Musicians of the [[Classical period (music)|Classical]] era also could improvise variations; both Mozart (see [[Mozart's compositional method]]) and Beethoven made powerful impressions on their audiences when they improvised. Modern listeners can get a sense of what these improvised variations sounded like by listening to published works that evidently are written transcriptions of improvised performances, in particular Beethoven's ''Fantasia in G minor'', Op. 77,{{sfn|Irmer|1975|p=V–VII}} and Mozart's ''Variations on an Aria by [[Christoph Willibald Gluck|Gluck]]'', K. 455.{{sfn|Braunbehrens|1990|p=198}}

Improvisation of elaborate variations on a popular theme is one of the core genres of [[jazz]]. According to William Austin, the practice of jazz musicians "resembles the variations on popular songs composed for the keyboard at the end of the 16th century by Byrd, Bull, Sweelinck and Frescobaldi, more than the cumulative variations of Beethoven and Brahms."{{sfn|Austin|1966|p=185}} Generally, the theme used is stated quite explicitly at the outset. However, some jazz musicians employ a more oblique approach. According to Gamble, "[[Charlie Parker]]'s performance of ''[[Embraceable You]]'' can be appreciated fully only if we are familiar with the tune, for unlike many jazz performances in which the theme is stated at the beginning, followed by improvisations on the theme, Parker launches almost immediately into improvisation, stating only a fragment of the tune at the end of the piece."{{sfn|Gamble|1984|p=13}} [[Coleman Hawkins]]' famous interpretation of [[Body and Soul (1930 song)|"Body and Soul"]] shows a similar approach. "On 11 October 1939, Coleman Hawkins went into New York's RCA studios with an eight-piece band to record the 1930 composition Body and Soul. It was already a favourite among jazz musicians, but nobody had ever played it like this. Pianist Gene Rodgers plays a straight four-bar introduction before Hawkins swoops in, soloing for three minutes without playing a single note of the tune, gliding over the chord changes with such harmonic logic that he ends up inventing [[bebop]]."{{sfn|Lewis|2011}}

Improvisation by means of spontaneous variations, ornaments, embellishments and/or alterations to a melody is the basis of most sub-Saharan African music (traditional and pop) extending from melody and [[Traditional sub-Saharan African harmony|harmony]] to form and rhythmic embellishments.

==See also==
{{Portal|Music}}
*[[Composer tributes (classical music)]]
*[[Developing variation]]
*[[Inversion (music)|Inversion]]
*[[Matrix (music)]]
*[[Strophic form]]
*[[Traditional sub-Saharan African harmony]]
*[[Tune-family]]

==Notes==
{{Reflist|15em}}

===References===
{{div col|colwidth=45em}}
* {{citation|last=Apel |first=Willi|author-link=Willi Apel|date=1962 |url=https://books.google.com/books?id=JVYVAAAAIAAJ&pg=PA784 |title=Harvard dictionary of music}}
* {{citation|last=Austin |first=William |date=1966 |title=Music in the 20th Century |place=London |publisher=Dent}}
* {{Citation |last=Biba |first=Otto |url=http://www.americansymphony.org/dialogue.php?id=126&season=2004-2005 |title=American Symphony Orchestra: Dialogues and Extensions |access-date=21 December 2008 |archive-url=https://web.archive.org/web/20090305155254/http://www.americansymphony.org/dialogue.php?id=126&season=2004-2005 |archive-date=5 March 2009 |url-status=dead}}
* {{citation|last=Braunbehrens |first=Volkmar |date=1990 |title=Mozart in Vienna |place=New York |publisher=Grove Weidenfeld |isbn=0-8021-1009-6 |author-link=Volkmar Braunbehrens}}
* {{citation|last=Cook |first=N |date=1990 |title=Music, Imagination and Culture |place=Oxford |publisher=Clarendon Press}}
* {{citation|last=Copland |first=Aaron|date=2002 |title=What to Listen for in Music |version=Revised edition of an authorized reprint of a hardcover edition published by McGraw-Hill Book Company |place=New York |publisher=Signet Classic|isbn=0-451-52867-0 |author-link=Aaron Copland}}
* {{citation|last=Drebes |first=Gerald |title=Schütz, Monteverdi und die "Vollkommenheit der Musik" – "Es steh Gott auf" aus den "Symphoniae sacrae" II (1647) |journal=Schütz-Jahrbuch |volume=14 |date=1992 |pages=25–55 |doi=10.13141/sjb.v1992774 |url=http://www.gerald-drebes.ch/page5.html |archive-url=https://web.archive.org/web/20160303210657/http://www.gerald-drebes.ch/page5.html |archive-date=3 March 2016|url-access=subscription }}
* {{citation|last=Gamble |first=T. |date=1984 |title=Imagination and Understanding in the Music Curriculum |journal=British Journal of Music Education |volume=1 |issue=1 |publisher=Cambridge University Press|doi=10.1017/S0265051700004101}}
* {{citation|last=Hodeir |first=André|author-link=André Hodeir|date=2006 |title=The André Hodeir Jazz Reader |editor-first=Jean-Louis |editor-last=Pautrot |place=Ann Arbor |publisher=University of Michigan Press |isbn=978-0-472-09883-5 |url=https://books.google.com/books?id=Aqer_x-Ai4UC}}
* {{citation|last=Irmer |first=Otto von |date=1975 |chapter=Vorwort |title=Beethoven: Klavierstücke |place=Munich |publisher=G. Henle|url=https://www.henle.de/de/Klavierstuecke/HN-12|id=HN 12|ismn=979-0-2018-0012-7|language=de,en,fr}}
* {{citation|last=Lewis |first=J. |title=Coleman Hawkins records Body and Soul: Number 14 in our series of the 50 key events in the history of jazz music |newspaper=The Guardian |date=17 June 2011}}
* {{citation|first=Donald M.|last=McCorkle|year=1976|title=Variationen über ein Thema von Joseph Haydn |edition=Norton Scores |isbn=9780393021899}}
* {{citation|last=Mellers |first=Wilfrid |date=1964 |title=Music in a New Found Land: Themes and Developments in the History of American Music |place=London |publisher=Barrie and Rockliff}}
* {{citation|last=Mellers |first=Wilfrid |date=1983 |title=Beethoven and the Voice of God |location=London |publisher=Faber}}
* {{citation|last=Raymar |first=Aubyn |date=1931 |chapter=Preface |title=Mozart: Miscellaneous Pieces for Pianforte |editor-first=York |editor-last=Bowen |place=London |publisher=Associated Board of the Royal Schools of Music ([[ABRSM]])}}
* {{citation|last=Sisman |first=Elaine |date=2001 |chapter=Variations |title=[[The New Grove Dictionary of Music and Musicians]]|edition=2nd |editor-first=Stanley |editor-last=Sadie |editor-link=Stanley Sadie |editor2-link=John Tyrrell (musicologist) |editor2-first=John |editor2-last=Tyrrell |place=London |publisher=Macmillan Publishers}}
* {{cite book|last=Wennerstrom|first=Mary|year=1975|chapter=1. Form in Twentieth-Century Music|title=Aspects of Twentieth-Century Music|editor-last=Wittlich|editor-first=Gary|location=Englewood Cliffs, New Jersey|publisher=Prentice-Hall|isbn=0-13-049346-5}}
* {{citation|last=White |first=John David |date=1976 |title=The Analysis of Music |place=Englewood Cliffs, New Jersey|publisher=Prentice-Hall |isbn=0-13-033233-X}}
{{div col end}}

==Further reading==
* {{citation|last=Ehrhardt |first=Damien |date=1998 |title=La variation chez Robert Schumann. Forme et évolution|type=dissertation Sorbonne 1997|place=Lille |publisher=Presses Universitaires du Septentrion |isbn=2-284-00573-X|ref=none}}
* {{citation|last=Nelson |first=Robert U. |date=1948 |title=The Technique of Variation; A Study of the Instrumental Variation from Antonio de Cabezón to Max Reger |series=University of California Publications in Music |volume=3 |place=Berkeley |publisher=University of California Press|ref=none}}

==External links==
*[https://web.archive.org/web/20031210204234/http://w3.rz-berlin.mpg.de/cmp/g_variation.html "Variation"], extract from ''Grove Concise Dictionary of Music'', Classical Music Pages, 10 October 2000
*{{YouTube|XCkM2a4daZU|Debussy: "Reflets dans l'Eau"}}, [[Arturo Benedetti Michelangeli]]
*{{YouTube|HvKTPDg0IW0|Rachmaninoff: ''Rhapsody on a Theme of Paganini'' (animated score)|link=no}}, [[Vladimir Ashkenazy]] (piano), [[London Symphony Orchestra]], [[André Previn]] conducting

{{musical form}}
{{Appropriation in the arts}}
{{Authority control}}

[[Category:Musical forms]]
[[Category:Variation (music)| ]]