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  2. Hexatonic scale - Wikipedia

    en.wikipedia.org/wiki/Hexatonic_scale

    Download as PDF; Printable version; In other projects ... In music and music theory, a hexatonic scale is a scale with six pitches or notes per octave. Famous ...

  3. Hexachord - Wikipedia

    en.wikipedia.org/wiki/Hexachord

    Example of Hauer's tropes. [8] Play ⓘ. Allen Forte in The Structure of Atonal Music [9] redefines the term hexachord to mean what other theorists (notably Howard Hanson in his Harmonic Materials of Modern Music: Resources of the Tempered Scale [10]) mean by the term hexad, a six-note pitch collection which is not necessarily a contiguous segment of a scale or a tone row.

  4. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma

  5. Neo-Riemannian theory - Wikipedia

    en.wikipedia.org/wiki/Neo-Riemannian_theory

    The H relation (LPL) exchanges a triad for its hexatonic pole (C major and A ♭ minor) [5] Any combination of the L, P, and R transformations will act inversely on major and minor triads: for instance, R-then-P transposes C major down a minor third, to A major via A minor, whilst transposing C minor to E ♭ minor up a minor 3rd via E ♭ major.

  6. Mystic chord - Wikipedia

    en.wikipedia.org/wiki/Mystic_chord

    For example, a group of piano miniatures (Op. 58, Op. 59/2, Op. 61, Op. 63, Op. 67/1 and Op. 69/1) are governed by the acoustic and/or the octatonic scales. [ 9 ] Contrary to many textbook descriptions of the chord, which present the sonority as a series of superposed fourths, Scriabin most often manipulated the voicings to produce a variety of ...

  7. Chord diagram (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Chord_diagram_(mathematics)

    In mathematics, a chord diagram consists of a cyclic order on a set of objects, together with a one-to-one pairing (perfect matching) of those objects. Chord diagrams are conventionally visualized by arranging the objects in their order around a circle , and drawing the pairs of the matching as chords of the circle.

  8. "Ode-to-Napoleon" hexachord - Wikipedia

    en.wikipedia.org/wiki/"Ode-to-Napoleon"_hexachord

    In music, the "Ode-to-Napoleon" hexachord (also magic hexachord [3] and hexatonic collection [4] or hexatonic set class) [5] is the hexachord named after its use in the twelve-tone piece Ode to Napoleon Buonaparte Op. 41 (1942) by Arnold Schoenberg (setting a text by Byron).

  9. Whole-tone scale - Wikipedia

    en.wikipedia.org/wiki/Whole-tone_scale

    The two whole-tone scales as a symmetrical partitioning of the chromatic scale; [1] if C=0 then the top stave has even (02468t) and the bottom has odd (13579e) pitches. In music, a whole-tone scale is a scale in which each note is separated from its neighbors by the interval of a whole tone.

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