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  2. Hexatonic scale - Wikipedia

    en.wikipedia.org/wiki/Hexatonic_scale

    The augmented scale, also known in jazz theory as the symmetrical augmented scale, [3] is so called because it can be thought of as an interlocking combination of two augmented triads an augmented second or minor third apart: C E G ♯ and E ♭ G B. It may also be called the "minor-third half-step scale", owing to the series of intervals produced.

  3. Tonnetz - Wikipedia

    en.wikipedia.org/wiki/Tonnetz

    Euler's Tonnetz. The Tonnetz originally appeared in Leonhard Euler's 1739 Tentamen novae theoriae musicae ex certissismis harmoniae principiis dilucide expositae.Euler's Tonnetz, pictured at left, shows the triadic relationships of the perfect fifth and the major third: at the top of the image is the note F, and to the left underneath is C (a perfect fifth above F), and to the right is A (a ...

  4. Scale (music) - Wikipedia

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

    Hexatonic (6 notes per octave): common in Western folk music; Pentatonic (5 notes per octave): the anhemitonic form (lacking semitones) is common in folk music, especially in Asian music; also known as the "black note" scale; Tetratonic (4 notes), tritonic (3 notes), and ditonic (2 notes): generally limited to prehistoric ("primitive") music

  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. Category:Hexatonic scales - Wikipedia

    en.wikipedia.org/wiki/Category:Hexatonic_scales

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  7. 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.

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  9. 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".