User:Dave Keenan/sandbox: Difference between revisions

Line 1:

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 comma is either the [[apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[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]] 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 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.

== Apotome-fraction notations ==

Revision as of 08:02, 18 October 2024 view source Dave Keenan (talk \| contribs) autopatrolled, emailconfirmed 1,671 edits No edit summary ← Older edit		Revision as of 08:06, 18 October 2024 view source Dave Keenan (talk \| contribs) autopatrolled, emailconfirmed 1,671 edits No edit summary Newer edit →
Line 1:		Line 1:
	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 comma is either the [[apotome]] (chromatic semitone) as represented by a sharp or flat, or the [[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]] 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 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.

	== Apotome-fraction notations ==		== Apotome-fraction notations ==