Keemic temperaments: Difference between revisions

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These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Septimal porcupine|porcupine]], [[Gamelismic clan #Superkleismic|superkleismic]], [[Magic family #Septimal magic|magic]], [[Kleismic family #Keemun|keemun]], [[11th-octave temperaments #Undeka|undeka]], and [[Sycamore family #Septimal sycamore|sycamore]]. Discussed below are quasitemp, chromo, barbad, hyperkleismic, and sevond.

Tempering out the keema is one of the two main ways septimal harmony is organized in EDOs of medium size, alongside [[myna]]. While myna makes the distance between 5/4 and 6/5 twice the distance between 9/7 and 5/4, keemic makes the two distances equal, resulting in the distance between the classical major and minor thirds being narrowed, or in other words [[7/6]] - [[6/5]] - [[5/4]] - [[9/7]] being made equidistant. EDOs with this structure include 15, 19, and 22.

Tempering out the keema is one of the two main ways septimal harmony is organized in EDOs of medium size, alongside [[myna]]. While myna makes the distance between 5/4 and 6/5 twice the distance between 9/7 and 5/4, keemic makes the two distances equal, resulting in the distance between the classical major and minor thirds being narrowed, or in other words [[7/6]] - [[6/5]] - [[5/4]] - [[9/7]] being made equidistant. EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).

== Quasitemp ==

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 These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]]. Keemic temperaments include [[Jubilismic clan #Doublewide|doublewide]], [[Meantone family #Flattone|flattone]], [[Porcupine family #Septimal porcupine|porcupine]], [[Gamelismic clan #Superkleismic|superkleismic]], [[Magic family #Septimal magic|magic]], [[Kleismic family #Keemun|keemun]], [[11th-octave temperaments #Undeka|undeka]], and [[Sycamore family #Septimal sycamore|sycamore]]. Discussed below are quasitemp, chromo, barbad, hyperkleismic, and sevond.
-Tempering out the keema is one of the two main ways septimal harmony is organized in EDOs of medium size, alongside [[myna]]. While myna makes the distance between 5/4 and 6/5 twice the distance between 9/7 and 5/4, keemic makes the two distances equal, resulting in the distance between the classical major and minor thirds being narrowed, or in other words [[7/6]] - [[6/5]] - [[5/4]] - [[9/7]] being made equidistant. EDOs with this structure include 15, 19, and 22.
+Tempering out the keema is one of the two main ways septimal harmony is organized in EDOs of medium size, alongside [[myna]]. While myna makes the distance between 5/4 and 6/5 twice the distance between 9/7 and 5/4, keemic makes the two distances equal, resulting in the distance between the classical major and minor thirds being narrowed, or in other words [[7/6]] - [[6/5]] - [[5/4]] - [[9/7]] being made equidistant. EDOs with this structure include 15, 19, and 22 (though 15 tunes 9/7 very poorly).
 == Quasitemp ==