Glossary of scale properties: Difference between revisions

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; Myhill's property and MOS
; Myhill's property and MOS
* '''Myhill's/MOS property''': A scale has Myhill's property if there are ''exactly'' two interval sizes for each non-[[equave]]-equivalent generic interval class. A scale is a MOS scale if there are ''no more than'' two interval sizes for each non-equave-equivalent generic interval class. This is equivalent to a scale being Myhill with a smaller equave. Both [[distributional evenness|distributionally even]] and Myhill's are essentially synonymous with MOS; Myhill's property is sometimes called "strict MOS".
* '''Myhill's/MOS property''': A scale has Myhill's property if there are ''exactly'' two interval sizes for each interval class not [[equave]]-equivalent to the unison. A scale is a MOS scale if there are ''no more than'' two interval sizes for each generic interval class not equave-equiavalent to the unison. This is equivalent to a scale being Myhill with a smaller equave. Both [[distributional evenness|distributionally even]] and Myhill's are essentially synonymous with MOS; Myhill's property is sometimes called "strict MOS".


;'''Trivalence property''':  
;'''Trivalence property''':