Glossary of scale properties: Difference between revisions

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* '''Myhill's/MOS property''': A scale has Myhill's property if there are ''exactly'' two interval sizes for each (reduced) interval class not including the equave. A scale is a MOS scale if there are ''no more than'' two interval sizes for each generic interval class not including the equave. 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 (reduced) interval class not including the equave. A scale is a MOS scale if there are ''no more than'' two interval sizes for each generic interval class not including the equave. 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
: Same as Myhill's property, but replace "two interval sizes" with "three interval sizes." The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.
: Same as Myhill's property, but replace "two interval sizes" with "three interval sizes." The scale formed from the notes of a dominant 7th chord (e.g. C-E-G-Bb-C) is an example of a trivalent scale.