User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions
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|[[4/17-comma meantone]]||696.895|| | |[[4/17-comma meantone]]||696.895|| | ||
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|[[3/13-comma meantone]]||696.992||Close to septimal & tridecimal CTE tunings. | |[[3/13-comma meantone]]||696.992||Close to [[7-limit|septimal]] & [[tridecimal]] [[CTE]] tunings. | ||
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|[[2/9-comma meantone]]||697.176||Close to 5-limit and undecimal CTE tunings. Historically significant (see [[historical temperaments]]). | |[[2/9-comma meantone]]||697.176||Close to [[5-limit]] and [[undecimal]] CTE tunings. Historically significant (see [[historical temperaments]]). | ||
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|[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]). | |[[3/14-comma meantone]]||697.346||Close to [[74edo]]. Historically significant (see [[historical temperaments]]). | ||
Revision as of 02:04, 26 December 2024
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Here are all meantone tunings that can be written in the form "n-comma meantone", where n is a fraction between -1 and 1 with a denominator 18 or smaller.
Also included are 7, 12, 17 and 5 edos (to delineate MOS shapes), as well as the other tunings listed under "historical temperaments" (e.g. 4/25-comma), but only the ones of the form "n-comma".
The comma being divided here is the syntonic comma (81/80).
Temperaments that fall outside of the diamond monotone range will not provide most of the advantages that meantone usually provides, but they are included for completeness.
Dozens of tunings on the table are significant to negative harmony temperament theory, enough that labelling them all individually would clutter the table.