User:Contribution/Comma dissipation path - Revision history

Contribution: /* Examples */

2025-05-03T19:10:25Z

Examples

← Older revision		Revision as of 19:10, 3 May 2025
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	In meantone temperaments, the sequence C–G–D–A–E–C forms a '''comma dissipation path''' for the syntonic comma (81/80).		In meantone temperaments, the sequence C–G–D–A–E–C forms a '''comma dissipation path''' for the syntonic comma (81/80).

	In augmented temperaments, the sequence ~~C–E–G#/Ab–C~~ forms a '''comma dissipation path''' for the augmented comma (128/125).		In augmented temperaments, the sequence C–E–Ab–C forms a '''comma dissipation path''' for the augmented comma (128/125).

	In diminished temperaments, the sequence ~~C–Eb–Gb/F~~#–A–C forms a '''comma dissipation path''' for the diminished comma (648/625).		In diminished temperaments, the sequence C–Eb–F#–A–C forms a '''comma dissipation path''' for the diminished comma (648/625).

	In diaschismic temperaments, the sequence C–E–B–F#~~/Gb–Bb–F–C~~ forms a '''comma dissipation path''' for the diaschisma comma (2048/2025).		In diaschismic temperaments, the sequence C–E–B–F#–Bb–F–C forms a '''comma dissipation path''' for the diaschisma comma (2048/2025).

Contribution: /* Examples */

2025-05-03T19:09:51Z

Examples

← Older revision		Revision as of 19:09, 3 May 2025
Line 7:		Line 7:
	In meantone temperaments, the sequence C–G–D–A–E–C forms a '''comma dissipation path''' for the syntonic comma (81/80).		In meantone temperaments, the sequence C–G–D–A–E–C forms a '''comma dissipation path''' for the syntonic comma (81/80).

	In augmented temperaments, the sequence ~~C–E–Ab–C~~ forms a '''comma dissipation path''' for the augmented comma (128/125).		In augmented temperaments, the sequence C–E–G#/Ab–C forms a '''comma dissipation path''' for the augmented comma (128/125).

	In diminished temperaments, the sequence ~~C–Eb–F~~#–A–C forms a '''comma dissipation path''' for the diminished comma (648/625).		In diminished temperaments, the sequence C–Eb–Gb/F#–A–C forms a '''comma dissipation path''' for the diminished comma (648/625).

	In diaschismic temperaments, the sequence C–E–B–F#/Gb–Bb–F–C forms a '''comma dissipation path''' for the diaschisma comma (2048/2025).		In diaschismic temperaments, the sequence C–E–B–F#/Gb–Bb–F–C forms a '''comma dissipation path''' for the diaschisma comma (2048/2025).

Contribution: Created page with "= Definition = A comma dissipation path is a sequence of notes in a given temperament where each successive interval aims for a specific ratio. In just intonation, following these exact ratios would lead to a final note different from the starting note. However, because of the temperament used, the sequence of intervals loops back to the original note, effectively 'dissipating' the comma. = Examples = In meantone temperaments, the sequence C–G–D–A–E–C forms..."

2025-05-03T19:09:09Z

Created page with "= Definition = A comma dissipation path is a sequence of notes in a given temperament where each successive interval aims for a specific ratio. In just intonation, following these exact ratios would lead to a final note different from the starting note. However, because of the temperament used, the sequence of intervals loops back to the original note, effectively 'dissipating' the comma. = Examples = In meantone temperaments, the sequence C–G–D–A–E–C forms..."

New page

= Definition =

A comma dissipation path is a sequence of notes in a given temperament where each successive interval aims for a specific ratio. In just intonation, following these exact ratios would lead to a final note different from the starting note. However, because of the temperament used, the sequence of intervals loops back to the original note, effectively 'dissipating' the comma.

= Examples =

In meantone temperaments, the sequence C–G–D–A–E–C forms a '''comma dissipation path''' for the syntonic comma (81/80).

In augmented temperaments, the sequence C–E–Ab–C forms a '''comma dissipation path''' for the augmented comma (128/125).

In diminished temperaments, the sequence C–Eb–F#–A–C forms a '''comma dissipation path''' for the diminished comma (648/625).

In diaschismic temperaments, the sequence C–E–B–F#/Gb–Bb–F–C forms a '''comma dissipation path''' for the diaschisma comma (2048/2025).