User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions
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Some of the characteristics this table mentions for each temperament include: | Some of the characteristics this table mentions for each temperament include: | ||
* Whether it saw historical (pre-1950) use | * Whether it saw historical (pre-1950) use | ||
* Whether it is close to (i.e. within 1/2 a degree of closing of) an edo smaller than 100 | * Whether it is close to (i.e. within 1/2 a degree of closing of) an [[edo]] smaller than 100 | ||
* Whether it is the closest on the table to an | * Whether it is the closest on the table to an optimized tuning of meantone (e.g. 7-limit [[CTE]]) | ||
* Whether it approximates a very simple n-[[Pythagorean comma]] meantone | * Whether it approximates a very simple n-[[Pythagorean comma]] meantone | ||
* Whether it is about equally sharp of [[3/2]] as some other listed temperament is flat | * Whether it is about equally sharp of [[3/2]] as some other listed temperament is flat | ||
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=== Special cases included === | === Special cases included === | ||
A small number of additional temperaments are included. Not too many, to avoid clutter, just the bare minimum: | A small number of additional temperaments are included. Not too many, to avoid clutter, just the bare minimum: | ||
* 7, 12, 17 and 5 | * {{EDOs|7, 12, 17 and 5}} edos (to delineate small [[MOS]] shapes and boundaries of diamond monotone) | ||
* any tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''. | * any tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''. | ||
== Cautions == | == Cautions == | ||
=== Preservation of meantone behavior === | === Preservation of meantone behavior === | ||
Temperaments that fall outside of the "[[Historical temperaments|historically considered meantone]]" range will not possess most of the properties that meantone usually possesses, but they are included for completeness. | Temperaments that fall outside of the "[[Historical temperaments|historically considered meantone]]" range will not possess most of the musical properties that meantone usually possesses, but they are included for completeness. | ||
Temperaments that fall outside of the "[[diamond monotone]]" range preserve even fewer meantone properties, but they are also included for completeness. | Temperaments that fall outside of the "[[diamond monotone]]" range preserve even fewer meantone properties, but they are also included for completeness. | ||