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]] and 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 [[Sagittal]] which assume specific mappings, and ''step-count notations'' like [[Ups and Downs]] which do not preserve the notation of subsets. Examples of ''JI-based notations'' are the [[Sagittal]] notations used for EDOs with good fifths. Examples of ''step-count notations'' are [[Ups and Downs]] notations.
A '''fractional-3-limit notation''' is a kind of musical notation built on a [[chain-of-fifths notation]] and 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]] which assume specific mappings, and ''step-count notations'' like [[Ups and downs]] which do not preserve the notation of subsets.

Revision as of 05:46, 18 October 2024

A fractional-3-limit notation is a kind of musical notation built on a chain-of-fifths notation and 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 which assume specific mappings, and step-count notations like Ups and downs which do not preserve the notation of subsets.