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  2. Hexatonic scale - Wikipedia

    en.wikipedia.org/wiki/Hexatonic_scale

    The whole-tone scale is a series of whole tones. It has two non-enharmonically equivalent positions: C D E F ♯ G ♯ A ♯ C and D ♭ E ♭ F G A B D ♭.It is ...

  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. Scale (music) - Wikipedia

    en.wikipedia.org/wiki/Scale_(music)

    For example, in the Chinese culture, the pentatonic scale is usually used for folk music and consists of C, D, E, G and A, commonly known as gong, shang, jue, chi and yu. [ 14 ] [ 15 ] Some scales span part of an octave; several such short scales are typically combined to form a scale spanning a full octave or more, and usually called with a ...

  5. 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.

  6. Mode of limited transposition - Wikipedia

    en.wikipedia.org/wiki/Mode_of_limited_transposition

    Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited".

  7. Mystic chord - Wikipedia

    en.wikipedia.org/wiki/Mystic_chord

    This tritone relationship between possible resolutions is important to Scriabin's harmonic language, and it is a property shared by the French sixth (also prominent in his work) of which the synthetic chord can be seen as an extension. The example below shows the mystic chord rewritten as a French sixth with notes A and D as extensions:

  8. 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.

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

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

    <3,0,3,6,3,0> "Ode-to-Napoleon" hexachord [ 1 ] in prime form [ 2 ] 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 ...

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