Keemic temperaments: Difference between revisions

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These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]] = {{S|5/S6}}. 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.

These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]] = {{S|5/S6}}, whose fundamental equivalence entails that [[6/5]] is sharpened so that it stacks three times to reach [[7/4]], and the interval between 6/5 and [[5/4]] is compressed so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are set equidistant from each other.

Keemic temperaments discussed elsewhere are:

* [[Keemun]] (+49/48) → [[Kleismic family #Keemun|Kleismic family]]

* ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]]

* [[Porcupine]] (+64/63) → [[Porcupine family #Septimal porcupine|Porcupine family]]

* [[Flattone]] (+81/80) → [[Meantone family #Flattone|Meantone family]]

* [[Magic]] (+225/224) → [[Magic family #Septimal magic|Magic family]]

* ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]]

* [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]]

* ''[[Undeka]]'' (+3200/3087) → [[11th-octave temperaments #Undeka|11th-octave temperaments]]

Discussed below are quasitemp, chromo, barbad, hyperkleismic, and sevond.

== Quasitemp ==

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 {{Technical data page}}
-These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]] = {{S|5/S6}}. 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.
+These temper out the keema, {{monzo| -5 -3 3 1 }} = [[875/864]] = {{S|5/S6}}, whose fundamental equivalence entails that [[6/5]] is sharpened so that it stacks three times to reach [[7/4]], and the interval between 6/5 and [[5/4]] is compressed so that [[7/6]] - 6/5 - 5/4 - [[9/7]] are set equidistant from each other.
+Keemic temperaments discussed elsewhere are:
+* [[Keemun]] (+49/48) → [[Kleismic family #Keemun|Kleismic family]]
+* ''[[Doublewide]]'' (+50/49) → [[Jubilismic clan #Doublewide|Jubilismic clan]]
+* [[Porcupine]] (+64/63) → [[Porcupine family #Septimal porcupine|Porcupine family]]
+* [[Flattone]] (+81/80) → [[Meantone family #Flattone|Meantone family]]
+* [[Magic]] (+225/224) → [[Magic family #Septimal magic|Magic family]]
+* ''[[Sycamore]]'' (+686/675) → [[Sycamore family #Septimal sycamore|Sycamore family]]
+* [[Superkleismic]] (+1029/1024) → [[Gamelismic clan #Superkleismic|Gamelismic clan]]
+* ''[[Undeka]]'' (+3200/3087) → [[11th-octave temperaments #Undeka|11th-octave temperaments]]
+Discussed below are quasitemp, chromo, barbad, hyperkleismic, and sevond.
 == Quasitemp ==