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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 of the twelve tones" in 1919. In 1923, Arnold Schoenberg (1874–1951) developed his own, better-known version of 12-tone technique, which became associated with the "Second Viennese School" composers, who were the primary users of the technique in the first decades of its existence. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another in a piece of music while preventing the emphasis of any one note[3] 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. Over time, the technique increased greatly in popularity and eventually became widely influential on 20th-century composers. Many important composers who had originally not subscribed to or actively opposed the technique, such as Aaron Copland and Igor Stravinsky, eventually adopted it in their music.

Not to be confused with twelve-tone equal temperament.

Schoenberg himself described the system as a "Method of composing with twelve tones which are related only with one another".[4] It is commonly considered a form of serialism.


Schoenberg's fellow countryman and contemporary Hauer also developed a similar system using unordered hexachords or tropes—independent of Schoenberg's development of the twelve-tone technique. Other composers have created systematic use of the chromatic scale, but Schoenberg's method is considered to be most historically and aesthetically significant.[5]

up or down, giving Pχ.

transposition

reversing the order of the pitches, giving the (R)

retrograde

turning each interval direction to its opposite, giving the (I).

inversion

List of dodecaphonic and serial compositions

All-interval twelve-tone row

All-interval tetrachord

All-trichord hexachord

Pitch interval

List of tone rows and series

to find all combinations of a 12 tone sequence

Twelve tone square

by Larry Solomon

New Transformations: Beyond P, I, R, and RI

Javascript twelve tone matrix calculator and tone row analyzer

by Ricci Adams

Matrix generator from musictheory.net

by Dan Román

Twelve-Tone Technique, A Quick Reference

on YouTube

Twelve Tones by mathemusician Vi Hart

by Franck Jedrzejewski

Dodecaphonic Knots and Topology of Words

Database on tone rows and tropes