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Created page with "A '''form''' is a framework for conceptualizing the intervals in a tuning system, where the N-form contains N interval categories within the equave. A tuning system is in the N-form if it is describable by a (usually soft, at minimum Rothenberg proper) scale of cardinality N, such that N-edo is the simplest edo that gives a sense of the categorical distinctions being made by the structure. For an ex..." |
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A '''form''' is a framework for conceptualizing the [[Interval|intervals]] in a [[tuning system]], where the N-form contains N [[Interval category|interval categories]] within the equave. | A '''form''' is a framework for conceptualizing the [[Interval|intervals]] in a [[tuning system]], where the N-form contains N [[Interval category|interval categories]] within the equave. Given a [[regular temperament]] or other regular tuning, its form is the number of notes in the "basic" scale that represents the categorical distinctions being made by the system, where such a scale is usually [[soft]]. For an example, [[meantone]] is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. [[Superpyth]] is a 5-form structure, and shares this property with many other temperaments in 2.3.7. | ||
Revision as of 06:09, 8 November 2025
A form is a framework for conceptualizing the intervals in a tuning system, where the N-form contains N interval categories within the equave. Given a regular temperament or other regular tuning, its form is the number of notes in the "basic" scale that represents the categorical distinctions being made by the system, where such a scale is usually soft. For an example, meantone is a 7-form structure, as meantone is most usefully conceptualized as containing 7 interval categories and can be reasonably simplified to 7edo to understand its structure. Superpyth is a 5-form structure, and shares this property with many other temperaments in 2.3.7.