875/864: Difference between revisions

Line 8:

== Temperaments ==

Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).

Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, 22, and 26 (though 15 tunes 9/7 very poorly).

Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

@@ Line 8: / Line 8: @@
 == Temperaments ==
-Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).
+Tempering out the keema is an important way that septimal harmony is organized in [[EDO]]s of medium size; keemic sets [[25/24]] and [[36/35]] equal, resulting in the distance between the classical major and minor thirds being narrowed, so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are made equidistant (an "opposite" option to [[myna]], which widens that distance instead to insert a neutral third into this equidistance). EDOs with this structure include 15, 19, 22, and 26 (though 15 tunes 9/7 very poorly).
 Tempering it out leads to the [[supermagic]] temperament. See [[Keemic family]] for the rank-3 temperament family where it is tempered out. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.