Generator-offset property: Difference between revisions
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== Other definitions == | == Other definitions == | ||
* A strengthening of the generator-offset property, tentatively named the ''split-generator-alternant property'' (SGA), states that the alternants ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to always subtend the same number of scale steps, thus both representing "detemperings" of a generator of a single-period [[mos]] scale (otherwise known as a well-formed scale). Only odd GO scales and xyxz can satisfy this property. The Zarlino and diasem scales above are both SGA. [[Blackdye]] is GO but not SGA. | * A strengthening of the generator-offset property, tentatively named the ''split-generator-alternant property'' (SGA), states that the alternants ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to always subtend the same number of scale steps, thus both representing "detemperings" of a generator of a single-period [[mos]] scale (otherwise known as a well-formed scale). Only odd GO scales and xyxz can satisfy this property. The Zarlino and diasem scales above are both SGA. [[Blackdye]] is GO but not SGA. | ||
== Theorems == | == Theorems == | ||