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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. Category:Musical symmetry - Wikipedia

    en.wikipedia.org/wiki/Category:Musical_symmetry

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  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. 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.

  7. Diatonic set theory - Wikipedia

    en.wikipedia.org/wiki/Diatonic_set_theory

    Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and analysis of discrete mathematics to properties of the diatonic collection such as maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity.

  8. Asampurna Melakarta - Wikipedia

    en.wikipedia.org/wiki/Asampurna_Melakarta

    In the Asampurna Melakarta system, there is no set rule for the ragas in contrast to the currently used system of Melakarta ragas. [1] [2] Some ragas though are the same in both systems (like 15 - Mayamalavagowla and 29 - Dheerasankarabharanam), and in some cases the scales are same, while names are different (like 8 - Janatodi and Hanumatodi, 56 - Chamaram and Shanmukhapriya).

  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.