Glossary of scale properties: Difference between revisions
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* '''[[Moment of symmetry]]''': Both DE and Myhill's are essentially synonymous with MOS; Myhill's property is sometimes called "strict MOS". | * '''[[Moment of symmetry]]''': Both DE and Myhill's are essentially synonymous with MOS; Myhill's property is sometimes called "strict MOS". | ||
; Arity | ; Arity, ''n''-ary | ||
: The number of distinct step sizes occurring in a given scale. Arity ''disregards other properties'', such as [[rank]] or [[maximum variety]]. | : The number of distinct step sizes occurring in a given scale. Arity ''disregards other properties'', such as [[rank]] or [[maximum variety]]. For example, if a scale is binary, it is either a [[MOS]] or a permutation of the steps of a MOS. | ||
The 12-tone diatonic scale has Myhill's property, and is also distributionally even. | The 12-tone diatonic scale has Myhill's property, and is also distributionally even. | ||