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  2. Twelve-tone technique - Wikipedia

    en.wikipedia.org/wiki/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.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 [3] through the use of tone rows, orderings of the 12 pitch classes.

  3. Combinatoriality - Wikipedia

    en.wikipedia.org/wiki/Combinatoriality

    A 12-tone row has hexachordal combinatoriality with another 12-tone row if their respective first (as well as second, because a 12-tone row itself forms an aggregate by definition) hexachords form an aggregate. There are four main types of combinatoriality. A hexachord may be: Prime combinatorial (transposition) Retrograde combinatorial

  4. Template:Tone row - Wikipedia

    en.wikipedia.org/wiki/Template:Tone_row

    This template is intended to provide a consistent and easy display for tone rows, in all forms: prime, retrograde, inverse, retrograde inversion, and inverse retrograde; and in all transpositions.

  5. List of tone rows and series - Wikipedia

    en.wikipedia.org/wiki/List_of_tone_rows_and_series

    Row form Integers Interval classes Notation Composer: Composition Year Hexa-chord I Hexa-chord II Derivation/ Combina-toriality; P: 0 1 2 e t 9 5 4 3 6 7 8: 1 1 3 1 1 4 1 1 3 1 1

  6. Tone row - Wikipedia

    en.wikipedia.org/wiki/Tone_row

    "Mirror forms", P, R, I, and RI, of a tone row (from Arnold Schoenberg's Variations for Orchestra Op. 31, "Called mirror forms because...they are identical". [1]In music, a tone row or note row (German: Reihe or Tonreihe), also series or set, [2] 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 ...

  7. Derived row - Wikipedia

    en.wikipedia.org/wiki/Derived_row

    In music using the twelve-tone technique, derivation is the construction of a row through segments. A derived row is a tone row whose entirety of twelve tones is constructed from a segment or portion of the whole, the generator. Anton Webern often used derived rows in his pieces. A partition is a segment created from a set through partitioning.

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  9. Quarter-comma meantone - Wikipedia

    en.wikipedia.org/wiki/Quarter-comma_meantone

    A just intonation version of the quarter-comma meantone temperament may be constructed in the same way as Johann Kirnberger's rational version of 12-TET. The value of 5 1 ⁄ 8 ·35 1 ⁄ 3 is very close to 4, which is why a 7-limit interval 6144:6125 (which is the difference between the 5-limit diesis 128:125 and the septimal diesis 49:48 ...

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