User:Dave Keenan/sandbox: Difference between revisions
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A '''fractional-3-limit notation''' is a kind of musical notation built on a [[chain-of-fifths notation]], which is used for notating [[EDOs]] when the EDO has no obvious mapping from just intonation, while preserving the notation of subsets. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'' like "good fifths" [[Sagittal|Sagittal notations]] which assume specific JI mappings, and ''step-count notations'' like [[Ups and downs|Ups and Downs notations]] which do not preserve the notation of subsets. Fractional-3-limit notations | A '''fractional-3-limit notation''' is a kind of musical notation built on a [[chain-of-fifths notation]], which is used for notating [[EDOs]] when the EDO has no obvious mapping from just intonation, while preserving the notation of subsets. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'', like "good fifths" [[Sagittal|Sagittal notations]], which assume specific JI mappings, and ''step-count notations'', like [[Ups and downs|Ups and Downs notations]], which do not preserve the notation of subsets. Fractional-3-limit notations assigns symbols to specific fractions of some tempered 3-limit comma. In practice, this is only ever the [[apotome]] or the [[limma]]. | ||
== Apotome-fraction notations == | |||
== Limma-fraction notations == | |||
Revision as of 07:56, 18 October 2024
A fractional-3-limit notation is a kind of musical notation built on a chain-of-fifths notation, which is used for notating EDOs when the EDO has no obvious mapping from just intonation, while preserving the notation of subsets. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: JI-based notations, like "good fifths" Sagittal notations, which assume specific JI mappings, and step-count notations, like Ups and Downs notations, which do not preserve the notation of subsets. Fractional-3-limit notations assigns symbols to specific fractions of some tempered 3-limit comma. In practice, this is only ever the apotome or the limma.