User:Eliora/Concoctic scale

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Concoctic scale (name proposed by Eliora) is a maximum eveness scale which has the same number of notes as its MOS generator.

12edo 5L2s diatonic scale, the predominantly used scale in the world today, is an example of such a scale.

Examples

Concoctic scales appear to only exist in composite EDOs.

As a direct consequence of the definition, L + s = gen\EDO.

N Scale Mos type Generator Size (cents) Notes
12 7\12 5L 2s 700
14 1\14 - 85.714285 Appears to act like a prime number
15 11\15 3L 1s 880
16 9\16 7L 2s 675
84 71\84 58L 13s 1014.285714
91 64\91 37L 27s 843.956043