User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions
m Remove “the largest this can generate is n tone” because that’s self evident and doesn’t need to be said, remove all the “important to negative harmony” because that was on almost every entry and cluttered the table making it hard to read, remove the unsourced claims about history that contradict everything I’ve ever read, remove extra added EDOs because this is about n-comma, not about EDOs, EDOs can have their own different table, other similar cleanup |
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{{Editable user page}} | {{Editable user page}} | ||
Here are all [[meantone]] tunings that can be written in the form "n-comma meantone", where n is a fraction between | 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 [[edo]]s (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]]). | 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. | 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 temperaments|negative harmony temperament theory]], enough that labelling them all individually would clutter the table. | Dozens of tunings on the table are significant to [[negative harmony temperaments|negative harmony temperament theory]], enough that labelling them all individually would clutter the table. | ||
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|[[-1/15-comma meantone]] | |[[-1/15-comma meantone]] | ||
|703.389 | |703.389 | ||
|Close to 11/13 third-kleisma temperament. | |Close to 11/13 third-[[kleisma]] temperament. | ||
|- | |- | ||
|[[-1/14-comma meantone]] | |[[-1/14-comma meantone]] | ||
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|704.344 | |704.344 | ||
|Close to [[46edo]], 11/7 quarter-kleisma temperament. | |Close to [[46edo]], 11/7 quarter-kleisma temperament. | ||
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|[[-2/17-comma meantone]] | |[[-2/17-comma meantone]] | ||
|704.483 | |704.483 | ||