Glossary of scale properties: Difference between revisions
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== Properties == | == Properties == | ||
; Alternating generator ( | ; Alternating generator (AG) property | ||
: A scale satisfies the [[alternating generator property]] if it satisfies the following equivalent properties: | : A scale satisfies the [[alternating generator property]] if it satisfies the following equivalent properties: | ||
* the scale can be built by stacking alternating generators, for example 7/6 and 8/7. | * the scale can be built by stacking alternating generators, for example 7/6 and 8/7. | ||
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* '''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. | * '''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. | ||
* '''[[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 | |||
: The number of distinct step sizes occurring in a given scale. Arity ''disregards other properties'', such as [[rank]] or [[maximum variety]]. | |||
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. | ||