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  2. Symmetric scale - Wikipedia

    en.wikipedia.org/wiki/Symmetric_scale

    In music, a music scale can have certain symmetries, namely translational symmetry and inversional or mirror symmetry. The most prominent examples are scales which equally divides the octave . [ 1 ] The concept and term appears to have been introduced by Joseph Schillinger [ 1 ] and further developed by Nicolas Slonimsky as part of his famous ...

  3. 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".

  4. List of musical scales and modes - Wikipedia

    en.wikipedia.org/wiki/List_of_musical_scales_and...

    List of musical scales and modes Name Image Sound Degrees Intervals Integer notation # of pitch classes Lower tetrachord Upper tetrachord Use of key signature usual or unusual 15 equal temperament: 15-tet scale on C. Play ⓘ — — — 15 — — — 16 equal temperament: 16-tet scale on C. Play ⓘ — — — 16 — — — 17 equal ...

  5. Octatonic scale - Wikipedia

    en.wikipedia.org/wiki/Octatonic_scale

    In classical theory (in contrast to jazz theory), this symmetrical scale is commonly called the octatonic scale (or the octatonic collection), although there are a total of 43 enharmonically inequivalent, transpositionally inequivalent eight-note sets.

  6. 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 ...

  7. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    Symmetrical scales or chords, such as the whole tone scale, augmented chord, or diminished seventh chord (diminished-diminished seventh), are said to lack direction or a sense of forward motion, are ambiguous as to the key or tonal center, and have a less specific diatonic functionality.

  8. List of set classes - Wikipedia

    en.wikipedia.org/wiki/List_of_set_classes

    For unsymmetrical sets, the prime form is marked with "A" and the inversion with "B"; sets without either are symmetrical. Sets marked with a "Z" refer to a pair of different set classes with identical interval class content unrelated by inversion, with one of each pair listed at the end of the respective list when they occur.

  9. Harmonic table note layout - Wikipedia

    en.wikipedia.org/wiki/Harmonic_table_note_layout

    A similar keyboard was developed by Larry Hanson [4] in 1942 for use with a 53 tone scale but turns the fifth sideways and the major third to the right and up. Keyboard note layout of the Harmonetta. The modern layout was proposed in 1983 by inventor Peter Davies, who obtained an international patent for its use in instruments in 1990.