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 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"''. All of these tunings are closet to a large enough [[EDO|edo]], but labelling them beyond [[100edo]] would clutter the table.
+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 historically-defined meantone range will not provide most of the properties that meantone usually provides, but they are included for completeness.
+== Scope ==
+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 [[MOS]] shapes)
+* any tunings listed under "[[historical temperaments]]" (e.g. 4/25-comma), ''but only the ones of the form "n-comma"''.
-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 this 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.
+All tunings on this table are close to some arbitrarily large [[EDO]], but labelling them beyond [[100edo]] would clutter the table.
 == Flatter than flattest allowed historical meantone ==