User:Contribution/Comma dissipation path: Difference between revisions
Contribution (talk | contribs) 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..." |
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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 | 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 | 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). | ||