Developing variation

Last updated

In musical composition, developing variation is a formal technique in which the variations are produced through the development of existing material. The term was coined by Arnold Schoenberg, twentieth-century composer and inventor of the twelve-tone technique, who believed it was one of the most important compositional principles since around 1750: [1]

Contents

Music of the homophonic-melodic style of composition, that is, music with a main theme, accompanied by and based on harmony, produces its material by, as I call it, developing variation. This means that variation of the features of a basic unit produces all the thematic formulations which provide for fluency, contrasts, variety, logic and unity, on the one hand, and character, mood, expression, and every needed differentiation, on the other hand—thus elaborating the idea of the piece. [2]

The technique has also become associated with Johannes Brahms, [3] whom Schoenberg believed to have used it in its "most advanced state". [4]

Schoenberg distinguished this from the "unravelling" procedures of contrapuntal tonal music, but developing variation may be related to other textures and to Schoenberg's own freely atonal pieces which employ a "method of atonal developing variation each chord, line, and harmony results from the subtle alteration and recombination of musical ideas from earlier in the piece". Schoenberg also described its importance to his development of serialism. [1]

Similarly, as in the case of Die Jakobsleiter , here also all main themes had to be transformations of the first phrase. Already here the basic motif was not only productive in furnishing new motif-forms through developing variations, but also in producing more remote formulations based on the unifying effect of one common factor: the repetition of tonal and intervallic relationship. [5]

Haimo [1] applies the concept to vertical (pitch) as well as horizontal (rhythm and permutation) 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.

See also

Further reading

Related Research Articles

In music, a tone row or note row, also series or set, is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both larger and smaller sets are sometimes found.

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 single, central triad is not used, and the notes of the chromatic scale function independently of one another. More narrowly, the term atonality describes music that does not conform to the system of tonal hierarchies that characterized European classical music between the seventeenth and nineteenth centuries. "The repertory of atonal music is characterized by the occurrence of pitches in novel combinations, as well as by the occurrence of familiar pitch combinations in unfamiliar environments".

<span class="mw-page-title-main">Arnold Schoenberg</span> Austrian-American composer (1874–1951)

Arnold Schoenberg or Schönberg was an Austrian and American composer, music theorist, teacher and writer. He was among the first modernists who transformed the practice of harmony in 20th-century classical music, and a central element of his music was its use of motives as a means of coherence. He propounded concepts like developing variation, the emancipation of the dissonance, and the "unity of musical space".

<span class="mw-page-title-main">Second Viennese School</span> Group of composers in 20th century Vienna

The Second Viennese School was the group of composers that comprised Arnold Schoenberg and his pupils, particularly Alban Berg and Anton Webern, and close associates in early 20th-century Vienna. Their music was initially characterized by late-Romantic expanded tonality and later, a totally chromatic expressionism without a firm tonal centre, often referred to as atonality; and later still, Schoenberg's serial twelve-tone technique. Adorno said that the twelve-tone method, when it had evolved into maturity, was a "veritable message in a bottle", addressed to an unknown and uncertain future. Though this common development took place, it neither followed a common time-line nor a cooperative path. Likewise, it was not a direct result of Schoenberg's teaching—which, as his various published textbooks demonstrate, was highly traditional and conservative. Schoenberg's textbooks also reveal that the Second Viennese School spawned not from the development of his serial method, but rather from the influence of his creative example.

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 working to establish serialism as a form of post-tonal thinking. Twelve-tone technique orders the twelve notes of the chromatic scale, forming a row or series and providing a unifying basis for a composition's melody, harmony, structural progressions, and variations. Other types of serialism also work with sets, collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions, such as duration, dynamics, and timbre.

<span class="mw-page-title-main">Twelve-tone technique</span> Musical composition method

The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and twelve-note composition—is a method of musical composition. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded equally often in a piece of music while preventing the emphasis of any one note through the use of tone rows, orderings of the 12 pitch classes. All 12 notes are thus given more or less equal importance, and the music avoids being in a key.

<span class="mw-page-title-main">Permutation (music)</span>

In music, a permutation (order) of a set is any ordering of the elements of that set. A specific arrangement of a set of discrete entities, or parameters, such as pitch, dynamics, or timbre. Different permutations may be related by transformation, through the application of zero or more operations, such as transposition, inversion, retrogradation, circular permutation, or multiplicative operations. These may produce reorderings of the members of the set, or may simply map the set onto itself.

<span class="mw-page-title-main">Subject (music)</span> Musical melody on which a composition is based

In music, a subject is the material, usually a recognizable melody, upon which part or all of a composition is based. In forms other than the fugue, this may be known as the theme.

<span class="mw-page-title-main">Modernism (music)</span> Changes in musical form during the early 20th Century

In music, modernism is an aesthetic stance underlying the period of change and development in musical language that occurred around the turn of the 20th century, a period of diverse reactions in challenging and reinterpreting older categories of music, innovations that led to new ways of organizing and approaching harmonic, melodic, sonic, and rhythmic aspects of music, and changes in aesthetic worldviews in close relation to the larger identifiable period of modernism in the arts of the time. The operative word most associated with it is "innovation". Its leading feature is a "linguistic plurality", which is to say that no musical language, or modernist style, ever assumed a dominant position.

Inherent within musical modernism is the conviction that music is not a static phenomenon defined by timeless truths and classical principles, but rather something which is intrinsically historical and developmental. While belief in musical progress or in the principle of innovation is not new or unique to modernism, such values are particularly important within modernist aesthetic stances.

<span class="mw-page-title-main">Expressionist music</span> Movement in Western music

The term expressionism "was probably first applied to music in 1918, especially to Schoenberg", because like the painter Wassily Kandinsky (1866–1944) he avoided "traditional forms of beauty" to convey powerful feelings in his music. Theodor Adorno interprets the expressionist movement in music as seeking to "eliminate all of traditional music's conventional elements, everything formulaically rigid". This he sees as analogous "to the literary ideal of the 'scream.' " As well Adorno sees expressionist music as seeking "the truthfulness of subjective feeling without illusions, disguises or euphemisms". Adorno also describes it as concerned with the unconscious, and states that "the depiction of fear lies at the centre" of expressionist music, with dissonance predominating, so that the "harmonious, affirmative element of art is banished". Expressionist music would "thus reject the depictive, sensual qualities that had come to be associated with impressionist music. It would endeavor instead to realize its own purely musical nature—in part by disregarding compositional conventions that placed 'outer' restrictions on the expression of 'inner' visions".

David Benjamin Lewin was an American music theorist, music critic and composer. Called "the most original and far-ranging theorist of his generation", he did his most influential theoretical work on the development of transformational theory, which involves the application of mathematical group theory to music.

The Austrian composer Arnold Schoenberg published four string quartets, distributed over his lifetime: String Quartet No. 1 in D minor, Opus 7 (1905), String Quartet No. 2 in F minor, Op. 10 (1908), String Quartet No. 3, Op. 30 (1927), and the String Quartet No. 4, Op. 37 (1936).

<span class="mw-page-title-main">Drei Klavierstücke (Schoenberg)</span> 1909 composition by Arnold Schoenberg

Drei Klavierstücke, Op. 11, is a set of pieces for solo piano written by the Austrian composer Arnold Schoenberg in 1909. They represent an early example of atonality in the composer's work.

Post-tonal music theory is the set of theories put forward to describe music written outside of, or 'after', the tonal system of the common practice period. It revolves around the idea of 'emancipating dissonance', that is, freeing the structure of music from the familiar harmonic patterns that are derived from natural overtones. As music becomes more complex, dissonance becomes indistinguishable from consonance.

<i>Style and Idea</i>

Style and Idea: Selected Writings of Arnold Schoenberg is the name for a published collection of essays, articles and sketches by Arnold Schoenberg, that has appeared in various forms.

<span class="mw-page-title-main">Variations for Orchestra (Schoenberg)</span>

Variations for Orchestra, Op. 31 (1926–28) is an orchestral set of variations on a theme, composed by Arnold Schoenberg and is his first twelve-tone composition for a large ensemble. Premiered in December 1928 by the Berlin Philharmonic conducted by Wilhelm Furtwängler, it was greeted by a tumultuous scandal.

Leonard David Stein was an American musicologist, pianist, conductor and university teacher. He was influential in promoting contemporary music on the American West Coast. He was for years Arnold Schoenberg's assistant, music director of the Schoenberg Institute at USC, and among the foremost authorities on Schoenberg's music. He was also an influential teacher in the lives of many younger composers, such as the influential minimalist La Monte Young.

<i>Movements for Piano and Orchestra</i> 1959 composition by Igor Stravinsky

Movements is a 1959 five-movement work for piano and orchestra by Igor Stravinsky lasting about ten minutes. It was written during his serial period and shows his dedication to that idiom as well as the influence of Anton Webern.

Neue Musik is the collective term for a wealth of different currents in composed Western art music from around 1910 to the present. Its focus is on compositions of 20th century music. It is characterised in particular by – sometimes radical – expansions of tonal, harmonic, melodic and rhythmic means and forms. It is also characterised by the search for new sounds, new forms or new combinations of old styles, which is partly a continuation of existing traditions, partly a deliberate break with tradition and appears either as progress or as renewal.

References

  1. 1 2 3 Haimo, Ethan. 1990. Schoenberg's Serial Odyssey: The Evolution of his Twelve-Tone Method, 1914–1928, p.73n8. Oxford [England] : Clarendon Press ; New York : Oxford University Press ISBN   0-19-315260-6.
  2. Arnold Schoenberg, "Bach, 1950", in Style and Idea: Selected Writings of Arnold Schoenberg, edited by Leonard Stein, with translations by Leo Black, 393–97 (London: Faber and Faber, 1975): p. 397. Cited by Haimo (1990, [ page needed ]).
  3. Frisch, Walter (1984). Brahms and the Principle of Developing Variation. Berkeley: University of California Press. ISBN   9780520069589.
  4. Frisch, Walter (1982). "Brahms, Developing Variation, and the Schoenberg Critical Tradition". 19th-Century Music. 5 (3): 216 via JSTOR.
  5. Arnold Schoenberg, "Composition with Twelve Tones (2), c. 1948", in Style and Idea: Selected Writings of Arnold Schoenberg, edited by Leonard Stein, with translations by Leo Black, 245–49 (London: Faber and Faber, 1975): p. 248. Cited by Haimo (1990, [ page needed ]).