Starling temperaments: Difference between revisions

Line 3:

Temperaments discussed in families and clans are:

* ''[[Pater]]'' (+16/15) → [[Father family #Pater|Father family]]

* ''[[~~Flat (temperament)|Flat~~]]'' (+21/20) → [[Dicot family #~~Flat~~|Dicot family]]

* ''[[Flattie]]'' (+21/20) → [[Dicot family #Flattie|Dicot family]]

* ''[[Opossum]]'' (+28/27) → [[Trienstonic clan #Opossum|Trienstonic clan]]

* ''[[Diminished]]'' (+36/35) → [[Dimipent family #Diminished|Dimipent family~~]] / [[Jubilismic clan #Diminished|jubilismic clan~~]]

* [[Diminished (temperament)|Diminished]] (+36/35) → [[Dimipent family #Diminished|Dimipent family]]

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

* [[Augene]] (+64/63) → [[Augmented family #Augene|Augmented family]]

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

* [[Mavila]] (+135/128) → [[Pelogic family #Mavila|Pelogic family]]

* [[Sensi]] (+245/243), [[Sensipent family #Sensi|Sensipent family~~]] / [[Sensamagic clan #Sensi|sensamagic clan~~]]

* [[Sensi]] (+245/243), [[Sensipent family #Sensi|Sensipent family]]

* ''[[Gilead]]'' (+343/324) → [[Shibboleth family #Gilead|Shibboleth family]]

* [[Muggles]] (+525/512) → [[Magic family #Muggles|Magic family]]

Line 24:

* ''[[Muscogee]]'' (+33756345/33554432) → [[Mabila family #Muscogee|Mabila family]]

Since (6/5)<sup>3</sup> = 126/125 × 12/7, these temperaments tend to have a relatively small complexity for 6/5. They also possess the [[starling tetrad]], the 6/~~5-6~~/~~5-6~~/~~5-7~~/6 versions of the diminished seventh chord. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before [[12edo]] established itself as the standard tuning, it is actually three stacked minor thirds and an augmented second, contrary to the popular belief that it is four stacked minor thirds.

Since (6/5)<sup>3</sup> = 126/125 × 12/7, these temperaments tend to have a relatively small complexity for 6/5. They also possess the [[starling tetrad]], the 6/5–6/5–6/5–7/6 versions of the diminished seventh chord. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before [[12edo]] established itself as the standard tuning, it is actually three stacked minor thirds and an augmented second, contrary to the popular belief that it is four stacked minor thirds.

== Myna ==

@@ Line 3: / Line 3: @@
 Temperaments discussed in families and clans are:
 * ''[[Pater]]'' (+16/15) → [[Father family #Pater|Father family]]
-* ''[[Flat (temperament)|Flat]]'' (+21/20) → [[Dicot family #Flat|Dicot family]]
+* ''[[Flattie]]'' (+21/20) → [[Dicot family #Flattie|Dicot family]]
 * ''[[Opossum]]'' (+28/27) → [[Trienstonic clan #Opossum|Trienstonic clan]]
-* ''[[Diminished]]'' (+36/35) → [[Dimipent family #Diminished|Dimipent family]] / [[Jubilismic clan #Diminished|jubilismic clan]]
+* [[Diminished (temperament)|Diminished]] (+36/35) → [[Dimipent family #Diminished|Dimipent family]]
 * [[Keemun]] (+49/48) → [[Kleismic family #Keemun|Kleismic family]]
 * [[Augene]] (+64/63) → [[Augmented family #Augene|Augmented family]]
 * [[Meantone]] (+81/80) → [[Meantone family #Septimal meantone|Meantone family]]
 * [[Mavila]] (+135/128) → [[Pelogic family #Mavila|Pelogic family]]
-* [[Sensi]] (+245/243), [[Sensipent family #Sensi|Sensipent family]] / [[Sensamagic clan #Sensi|sensamagic clan]]
+* [[Sensi]] (+245/243), [[Sensipent family #Sensi|Sensipent family]]
 * ''[[Gilead]]'' (+343/324) → [[Shibboleth family #Gilead|Shibboleth family]]
 * [[Muggles]] (+525/512) → [[Magic family #Muggles|Magic family]]
@@ Line 24: / Line 24: @@
 * ''[[Muscogee]]'' (+33756345/33554432) → [[Mabila family #Muscogee|Mabila family]]
-Since (6/5)<sup>3</sup> = 126/125 × 12/7, these temperaments tend to have a relatively small complexity for 6/5. They also possess the [[starling tetrad]], the 6/5-6/5-6/5-7/6 versions of the diminished seventh chord. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before [[12edo]] established itself as the standard tuning, it is actually three stacked minor thirds and an augmented second, contrary to the popular belief that it is four stacked minor thirds.
+Since (6/5)<sup>3</sup> = 126/125 × 12/7, these temperaments tend to have a relatively small complexity for 6/5. They also possess the [[starling tetrad]], the 6/5–6/5–6/5–7/6 versions of the diminished seventh chord. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before [[12edo]] established itself as the standard tuning, it is actually three stacked minor thirds and an augmented second, contrary to the popular belief that it is four stacked minor thirds.
 == Myna ==