User:BudjarnLambeth/Table of n-comma meantone generators: Difference between revisions
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Here are all [[meantone]] tunings that can be written in the form "n-comma meantone", where the syntonic comma ([[81/80]]) is being divided and n is a fraction between -1 and 1 with a denominator 22 or smaller. | Here are all [[meantone]] tunings that can be written in the form "n-comma meantone", where the syntonic comma ([[81/80]]) is being divided and n is a fraction between -1 and 1 with a denominator 22 or smaller. | ||
== | == Overview of table == | ||
=== Characteristics included === | === Characteristics included === | ||
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Every tuning on this table is close to some arbitrarily large edo, but labeling them beyond [[100edo]] would clutter the table. | Every tuning on this table is close to some arbitrarily large edo, but labeling them beyond [[100edo]] would clutter the table. | ||
=== Special cases included === | |||
A small number of additional temperaments are included. Not too many, to avoid clutter, just the bare minimum: | |||
* 7, 12, 17 and 5 [[edo]]s (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"''. | |||
== Cautions == | |||
=== 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 "[[diamond monotone]]" range preserve even fewer meantone properties, but they are also included for completeness. | |||
== Flatter than flattest allowed historical meantone == | == Flatter than flattest allowed historical meantone == | ||