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== 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, 22, and 26 (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, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs|15, 19, 22, 26, and 41}} (though 15edo 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.

Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

== Etymology ==

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 == 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, 22, and 26 (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, [[49/40]], into this equidistance). EDOs with this structure include {{EDOs|15, 19, 22, 26, and 41}} (though 15edo 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.
+Tempering it out alone in the 7-limit leads to the [[supermagic]] rank-3 temperament, whose extensions form the rank-3 [[keemic family]]. See [[Keemic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
 == Etymology ==