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  2. 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

  3. 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.

  4. 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 ...

  5. 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.

  6. List of tone rows and series - Wikipedia

    en.wikipedia.org/wiki/List_of_tone_rows_and_series

    D harmonic minor & in the inverted row-form added-sixth chord with both major and minor third : I: 0 t 9 7 5 4 1 8 6 2 4 e: P: 0 2 3 6 8 t 5 7 9 e 1 4: 2 1 3 2 2 5 2 2 2 2 3: Ernst Krenek: Lamentatio Jeremiae Prophetae, Op. 93, row 2 [18] 1940–41 6-34: 6-34: RI-symmetry I: 0 t 9 6 4 2 7 5 3 1 e 8: P: 0 2 4 5 8 t 6 7 9 e 1 3

  7. Serialism - Wikipedia

    en.wikipedia.org/wiki/Serialism

    Twelve-tone serialism first appeared in the 1920s, with antecedents predating that decade (instances of 12-note passages occur in Liszt's Faust Symphony [29] and in Bach. [30]) Schoenberg was the composer most decisively involved in devising and demonstrating the fundamentals of twelve-tone serialism, though it is clear it is not the work of ...

  8. 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.

  9. Quarter-comma meantone - Wikipedia

    en.wikipedia.org/wiki/Quarter-comma_meantone

    The only difference is that the construction table shows intervals from C, rather than from D. Notice that 144 intervals can be formed from a 12-tone scale (see table below), which include intervals from C, D, and any other note. However, the construction table shows only 12 of them, in this case those starting from C.