Starling temperaments: Difference between revisions
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Temperaments discussed in families and clans are: | Temperaments discussed in families and clans are: | ||
* ''[[Pater]]'', {16/15, 126/125} → [[Father family #Pater]] | * ''[[Pater]]'', {16/15, 126/125} → [[Father family #Pater|Father family]] | ||
* ''[[Flat]]'', {21/20, 25/24} → [[Dicot family #Flat]] | * ''[[Flat]]'', {21/20, 25/24} → [[Dicot family #Flat|Dicot family]] | ||
* ''[[Opossum]]'', {28/27, 126/125} → [[Trienstonic clan #Opossum]] | * ''[[Opossum]]'', {28/27, 126/125} → [[Trienstonic clan #Opossum|Trienstonic clan]] | ||
* ''[[Diminished]]'', {36/35, 50/49} → [[Dimipent family #Diminished]] / [[Jubilismic clan #Diminished]] | * ''[[Diminished]]'', {36/35, 50/49} → [[Dimipent family #Diminished|Dimipent family]] / [[Jubilismic clan #Diminished|jubilismic clan]] | ||
* [[Keemun]], {49/48, 126/125} → [[Kleismic family #Keemun]] | * [[Keemun]], {49/48, 126/125} → [[Kleismic family #Keemun|Kleismic family]] | ||
* ''[[Augene]]'', {64/63, 126/125} → [[Augmented family #Augene]] | * ''[[Augene]]'', {64/63, 126/125} → [[Augmented family #Augene|Augmented family]] | ||
* [[Meantone]], {81/80, 126/125} → [[Meantone family #Septimal meantone]] | * [[Meantone]], {81/80, 126/125} → [[Meantone family #Septimal meantone|Meantone family]] | ||
* [[Mavila]], {126/125, 135/128} → [[Pelogic family #Mavila]] | * [[Mavila]], {126/125, 135/128} → [[Pelogic family #Mavila|Pelogic family]] | ||
* [[Sensi]], {126/125, 245/243}, [[Sensipent family #Sensi]] / [[Sensamagic clan #Sensi]] | * [[Sensi]], {126/125, 245/243}, [[Sensipent family #Sensi|Sensipent family]] / [[Sensamagic clan #Sensi|Sensamagic clan]] | ||
* ''[[Gilead]]'', {126/125, 343/324} → [[Shibboleth family #Gilead]] | * ''[[Gilead]]'', {126/125, 343/324} → [[Shibboleth family #Gilead|Shibboleth family]] | ||
* | * [[Muggles]], {126/125, 525/512} → [[Magic family #Muggles|Magic family]] | ||
* ''[[Diaschismic]]'', {126/125, 2048/2025} → [[Diaschismic family #Diaschismic]] | * ''[[Diaschismic]]'', {126/125, 2048/2025} → [[Diaschismic family #Diaschismic|Diaschismic family]] | ||
* ''[[Wollemia]]'', {126/125, 2240/2187} → [[Tetracot family #Wollemia]] | * ''[[Wollemia]]'', {126/125, 2240/2187} → [[Tetracot family #Wollemia|Tetracot family]] | ||
* ''[[Unicorn]]'', {126/125, 10976/10935} → [[Unicorn family #Unicorn]] | * ''[[Unicorn]]'', {126/125, 10976/10935} → [[Unicorn family #Unicorn|Unicorn family]] | ||
* ''[[Coblack]]'', {126/125, 16807/16384} → [[Cloudy clan #Coblack]] | * ''[[Coblack]]'', {126/125, 16807/16384} → [[Cloudy clan #Coblack|Cloudy clan]] | ||
* ''[[Grackle]]'', {126/125, 32805/32768} → [[Schismatic family #Grackle]] | * ''[[Grackle]]'', {126/125, 32805/32768} → [[Schismatic family #Grackle|Schismatic family]] | ||
* ''[[Worschmidt]]'', {126/125, 33075/32768} → [[Würschmidt family #Worschmidt]] | * ''[[Worschmidt]]'', {126/125, 33075/32768} → [[Würschmidt family #Worschmidt|Würschmidt family]] | ||
* ''[[Passionate]]'', {126/125, 131072/127575} → [[Passion family #Passionate]] | * ''[[Passionate]]'', {126/125, 131072/127575} → [[Passion family #Passionate|Passion family]] | ||
* ''[[Vishnean]]'', {126/125, 540225/524288} → [[Vishnuzmic family #Vishnean]] | * ''[[Vishnean]]'', {126/125, 540225/524288} → [[Vishnuzmic family #Vishnean|Vishnuzmic 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|12EDO]] established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat 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|12EDO]] established itself as the standard tuning, it is arguably more authentic to tune it as three stacked minor thirds and an augmented second, which is what it is in meantone, than as the modern version of four stacked very flat minor thirds. | ||
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[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament collection]] | [[Category:Temperament collection]] | ||
[[Category:Starling]] | [[Category:Starling temperaments| ]] <!-- main article --> | ||
[[Category:Myna]] | [[Category:Myna]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||