Glossary of scale properties: Difference between revisions

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An EDO is a kind of degenerate MOS, in that it is distributionally even. It does not have Myhill's property. In other words, it has no more than two interval sizes for each generic interval class, but does not have exactly two interval sizes.
An EDO is a kind of degenerate MOS, in that it is distributionally even. It does not have Myhill's property. In other words, it has no more than two interval sizes for each generic interval class, but does not have exactly two interval sizes.


; Arity, ''n''-ary
; Arity, binary, ternary, ''n''-ary
: The number of distinct step sizes occurring in a given scale. Arity ''disregards other properties'', such as [[rank]] or [[maximum variety]]. For example, 12edo melodic minor is a binary scale which is not rank-2 or MV2 (MOS).
: The number of distinct step sizes occurring in a given scale. Arity ''disregards other properties'', such as [[rank]] or [[maximum variety]]. For example, 12edo melodic minor is a binary scale which is not rank-2 or MV2 (MOS).