Breedsmic temperaments: Difference between revisions

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Temperaments discussed elsewhere include:

* [[Dicot family #~~Decimal|~~Decimal]]

* ''[[Decimal]]'', {25/24, 49/48} → [[Dicot family #Decimal]]

* [[Archytas clan #~~Beatles|~~Beatles]]

* ''[[Beatles]]'', {64/63, 686/675} → [[Archytas clan #Beatles]]

* [[Meantone family #~~Squares|~~Squares]]

* [[Squares]], {81/80, 2401/2400} → [[Meantone family #Squares]]

* [[Starling temperaments #Myna~~|Myna~~]]

* [[Myna]], {126/125, 1728/1715} → [[Starling temperaments #Myna]]

* [[Keemic temperaments #~~Quasitemp|~~Quasitemp]]

* [[Miracle]], {225/224, 1029/1024} → [[Gamelismic clan #Miracle]]

* [[~~Gamelismic clan~~ #~~Miracle|Miracle~~]]

* ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot]]

* [[~~Magic~~ family #~~Quadrimage|Quadrimage~~]]

* ''[[Quasitemp]]'', {875/864, 2401/2400} → [[Keemic temperaments #Quasitemp]]

* [[Ragismic microtemperaments #~~Ennealimmal|~~Ennealimmal]]

* ''[[Quadrimage]]'', {2401/2400, 3125/3072} → [[Magic family #Quadrimage]]

* [[~~Tetracot family #Octacot|Octacot~~]]

* ''[[Hemiwürschmidt]]'', {2401/2400, 3136/3125} → [[Würschmidt family #Hemiwürschmidt]]

* [[Kleismic family #~~Quadritikleismic|~~Quadritikleismic]]

* [[Ennealimmal]], {2401/2400, 4375/4374} → [[Ragismic microtemperaments #Ennealimmal]]

* [[Schismatic family #~~Sesquiquartififths|~~Sesquiquartififths]]

* ''[[Quadritikleismic]]'', {2401/2400, 15625/15552} → [[Kleismic family #Quadritikleismic]]

* [[~~Würschmidt~~ family #~~Hemiwürschmidt|Hemiwürschmidt~~]]

* ''[[Sesquiquartififths]]'', {2401/2400, 32805/32768} → [[Schismatic family #Sesquiquartififths]]

* [[~~Vulture family #Eagle|~~Eagle]]

* ''[[Neptune]]'', {2401/2400, 48828125/48771072} → [[Gammic family #Neptune]]

* [[~~Gammic~~ family #~~Neptune|Neptune~~]]

* ''[[Eagle]]'', {2401/2400, 10485760000/10460353203} → [[Vulture family #Eagle]]

== Hemififths ==

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Harry adds [[cataharry]], 19683/19600, to the set of commas. It may be described as the 58&72 temperament. The period is half an octave, and the generator 21/20, with generator tunings of 9\130 or 14\202 being good choices. MOS of size 14, 16, 30, 44 or 58 are among the scale choices.

Harry adds [[cataharry comma|cataharry]], 19683/19600, to the set of commas. It may be described as the 58&72 temperament. The period is half an octave, and the generator 21/20, with generator tunings of 9\130 or 14\202 being good choices. MOS of size 14, 16, 30, 44 or 58 are among the scale choices.

Harry becomes much more interesting as we move to the 11-limit, where we can add 243/242, 441/440 and 540/539 to the set of commas. 130 and especially 202 still make for good tuning choices, and the octave part of the wedgie is {{multival| 12 34 20 30 …}}.

@@ Line 4: / Line 4: @@
 Temperaments discussed elsewhere include:
-* [[Dicot family #Decimal|Decimal]]
+* ''[[Decimal]]'', {25/24, 49/48} → [[Dicot family #Decimal]]
-* [[Archytas clan #Beatles|Beatles]]
+* ''[[Beatles]]'', {64/63, 686/675} → [[Archytas clan #Beatles]]
-* [[Meantone family #Squares|Squares]]
+* [[Squares]], {81/80, 2401/2400} → [[Meantone family #Squares]]
-* [[Starling temperaments #Myna|Myna]]
+* [[Myna]], {126/125, 1728/1715} → [[Starling temperaments #Myna]]
-* [[Keemic temperaments #Quasitemp|Quasitemp]]
+* [[Miracle]], {225/224, 1029/1024} → [[Gamelismic clan #Miracle]]
-* [[Gamelismic clan #Miracle|Miracle]]
+* ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot]]
-* [[Magic family #Quadrimage|Quadrimage]]
+* ''[[Quasitemp]]'', {875/864, 2401/2400} → [[Keemic temperaments #Quasitemp]]
-* [[Ragismic microtemperaments #Ennealimmal|Ennealimmal]]
+* ''[[Quadrimage]]'', {2401/2400, 3125/3072} → [[Magic family #Quadrimage]]
-* [[Tetracot family #Octacot|Octacot]]
+* ''[[Hemiwürschmidt]]'', {2401/2400, 3136/3125} → [[Würschmidt family #Hemiwürschmidt]]
-* [[Kleismic family #Quadritikleismic|Quadritikleismic]]
+* [[Ennealimmal]], {2401/2400, 4375/4374} → [[Ragismic microtemperaments #Ennealimmal]]
-* [[Schismatic family #Sesquiquartififths|Sesquiquartififths]]
+* ''[[Quadritikleismic]]'', {2401/2400, 15625/15552} → [[Kleismic family #Quadritikleismic]]
-* [[Würschmidt family #Hemiwürschmidt|Hemiwürschmidt]]
+* ''[[Sesquiquartififths]]'', {2401/2400, 32805/32768} → [[Schismatic family #Sesquiquartififths]]
-* [[Vulture family #Eagle|Eagle]]
+* ''[[Neptune]]'', {2401/2400, 48828125/48771072} → [[Gammic family #Neptune]]
-* [[Gammic family #Neptune|Neptune]]
+* ''[[Eagle]]'', {2401/2400, 10485760000/10460353203} → [[Vulture family #Eagle]]
 == Hemififths ==
@@ Line 239: / Line 239: @@
 {{see also| Gravity family #Harry }}
-Harry adds [[cataharry]], 19683/19600, to the set of commas. It may be described as the 58&amp;72 temperament. The period is half an octave, and the generator 21/20, with generator tunings of 9\130 or 14\202 being good choices. MOS of size 14, 16, 30, 44 or 58 are among the scale choices.
+Harry adds [[cataharry comma|cataharry]], 19683/19600, to the set of commas. It may be described as the 58&amp;72 temperament. The period is half an octave, and the generator 21/20, with generator tunings of 9\130 or 14\202 being good choices. MOS of size 14, 16, 30, 44 or 58 are among the scale choices.
 Harry becomes much more interesting as we move to the 11-limit, where we can add 243/242, 441/440 and 540/539 to the set of commas. 130 and especially 202 still make for good tuning choices, and the octave part of the wedgie is {{multival| 12 34 20 30 …}}.