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]] or [[EDOs to ETs|ETs]] in a way that avoids favoring any mapping from JI, while preserving the notation of subset EDOs. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'', like the 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 subset EDOs. Fractional-3-limit notations assign symbols to fractions of some tempered 3-limit comma. In practice, this 3-limit comma is either the [[2187/2048|apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[256/243|limma]] (diatonic semitone) as represented by the intervals B-C and E-F.

A '''fractional-3-limit notation''' is a kind of [[musical notation]] built on a [[chain-of-fifths notation]], which is used for notating [[EDOs]] or [[EDOs to ETs|ETs]] in a way that avoids favoring any mapping from JI, while preserving the notation of subset EDOs. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'', like the 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 subset EDOs. Fractional-3-limit notations assign symbols to fractions of some tempered 3-limit comma. In practice, this 3-limit comma is either the [[2187/2048|apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[256/243|limma]] (diatonic semitone) as represented by the intervals B-C and E-F. Note: "apotome" is pronounced "a-POT-o-me".

== History ==

Revision as of 21:31, 18 October 2024 view source Dave Keenan (talk \| contribs) autopatrolled, emailconfirmed 1,671 edits →Bad-fifths limma-fraction notation ← Older edit		Revision as of 21:41, 18 October 2024 view source Dave Keenan (talk \| contribs) autopatrolled, emailconfirmed 1,671 edits No edit summary Newer edit →
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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]] or [[EDOs to ETs\|ETs]] in a way that avoids favoring any mapping from JI, while preserving the notation of subset EDOs. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'', like the 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 subset EDOs. Fractional-3-limit notations assign symbols to fractions of some tempered 3-limit comma. In practice, this 3-limit comma is either the [[2187/2048\|apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[256/243\|limma]] (diatonic semitone) as represented by the intervals B-C and E-F.		A '''fractional-3-limit notation''' is a kind of [[musical notation]] built on a [[chain-of-fifths notation]], which is used for notating [[EDOs]] or [[EDOs to ETs\|ETs]] in a way that avoids favoring any mapping from JI, while preserving the notation of subset EDOs. Fractional-3-limit notations may be contrasted with two other kinds of chain-of-fifths notation for EDOs: ''JI-based notations'', like the 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 subset EDOs. Fractional-3-limit notations assign symbols to fractions of some tempered 3-limit comma. In practice, this 3-limit comma is either the [[2187/2048\|apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[256/243\|limma]] (diatonic semitone) as represented by the intervals B-C and E-F. Note: "apotome" is pronounced "a-POT-o-me".

	== History ==		== History ==