In musical composition, developing variation is a formal technique in which the concepts of

development Development or developing may refer to: Arts *Development hell, when a project is stuck in development *Filmmaking, development phase, including finance and budgeting *Development (music), the process thematic material is reshaped *Photographi ...

and

variation Variation or Variations may refer to: Science and mathematics * Variation (astronomy), any perturbation of the mean motion or orbit of a planet or satellite, particularly of the moon * Genetic variation, the difference in DNA among individual ...

are united in that variations are produced through the development of existing material. The term was coined by

Arnold Schoenberg Arnold Schoenberg or Schönberg (, ; ; 13 September 187413 July 1951) was an Austrian-American composer, music theorist, teacher, writer, and painter. He is widely considered one of the most influential composers of the 20th century. He was as ...

, twentieth-century composer and inventor of the

twelve-tone technique The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition first devised by Austrian composer Josef Matthias Hauer, who published his "law ...

, who believed it was one of the most important compositional principles since around 1750:Haimo, Ethan. 1990. ''Schoenberg's Serial Odyssey: The Evolution of his Twelve-Tone Method, 1914–1928'', p.73n8. Oxford ngland: Clarendon Press ; New York : Oxford University Press . Schoenberg distinguished this from the "unravelling" procedures of

contrapuntal In music, counterpoint is the relationship between two or more musical lines (or voices) which are harmonically interdependent yet independent in rhythm and melodic contour. It has been most commonly identified in the European classical tra ...

tonal music but developing variation may be related to other textures and to Schoenberg's own freely

atonal Atonality in its broadest sense is music that lacks a tonal center, or key. ''Atonality'', in this sense, usually describes compositions written from about the early 20th-century to the present day, where a hierarchy of harmonies focusing on a ...

pieces which employ a "method of atonal developing variation each

chord Chord may refer to: * Chord (music), an aggregate of musical pitches sounded simultaneously ** Guitar chord a chord played on a guitar, which has a particular tuning * Chord (geometry), a line segment joining two points on a curve * Chord ( ...

, line, and harmony results from the subtle alteration and recombination of

musical idea In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The moti ...

s from earlier in the piece" and Schoenberg describes its importance to his development of

serialism In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though some of his contemporaries were also ...

. Haimo applies the concept to vertical ( pitch) as well as horizontal (

rhythm Rhythm (from Greek Greek may refer to: Greece Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group. *Greek language, a branch of the Indo-European language family. **Proto-Greek language, the assumed ...

and

permutation In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or p ...

) transformations in twelve-tone music on the premise of "the 'unity of musical space after suggesting that Schoenberg reconciled serial organization and developing variation in the twelve-tone technique.

References

Further reading