Generator-offset property: Difference between revisions

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Related properties: explain connection to what scales
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== Related properties ==
== Related properties ==
* A strengthening of the AG property, tentatively named ''alternating split-well-formed-generator'' (ASWFG), states that ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to be 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 AG scales can satisfy this property.
* A strengthening of the AG property, tentatively named ''alternating split-well-formed-generator'' (ASWFG), states that ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to be 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 AG scales can satisfy this property. The Zarlino and diasem scales above are both ASWFG.


== Theorems ==
== Theorems ==