Gariboh clan: Difference between revisions

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The full 7-limit extensions' relation to sirius is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are diminished, ammonite, and maja.

The others are weak extensions. Bohpier tempers out [[245/243]] with a 1/13-twelfth period. Kleiboh tempers out [[1728/1715]] with a 1/6-twelfth period. Passion tempers out [[64/63]], splitting the generator in six. Garibaldi tempers out [[225/224]]. Quasitemp tempers out [[875/864]]. These split the generator in five. ~~Finally, trismegistus~~ tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period.

The others are weak extensions. Bohpier tempers out [[245/243]] with a 1/13-twelfth period. Kleiboh tempers out [[1728/1715]] with a 1/6-twelfth period. Passion tempers out [[64/63]], splitting the generator in six. Garibaldi tempers out [[225/224]]. Quasitemp tempers out [[875/864]]. Dodecacot tempers out [[10976/10935]]. These split the generator in five. Trismegistus tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period. Finally, semaja tempers out [[6144/6125]], splitting the generator in eleven.

See:

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* ''[[Garibaldi]]'' (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]

* ''[[Quasitemp]]'' (+875/864) → [[Keemic temperaments #Quasitemp|Keemic temperaments]]

* ''[[Dodecacot]]'' (+10976/10935) → [[Tetracot family #Dodecacot|Tetracot family]]

* ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]]

* ''[[Semaja]]'' (+6144/6125) → [[Porwell temperaments #Semaja|Porwell temperaments]]

[[Category:Temperament clans]]

@@ Line 17: / Line 17: @@
 The full 7-limit extensions' relation to sirius is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are diminished, ammonite, and maja.
-The others are weak extensions. Bohpier tempers out [[245/243]] with a 1/13-twelfth period. Kleiboh tempers out [[1728/1715]] with a 1/6-twelfth period. Passion tempers out [[64/63]], splitting the generator in six. Garibaldi tempers out [[225/224]]. Quasitemp tempers out [[875/864]]. These split the generator in five. Finally, trismegistus tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period.
+The others are weak extensions. Bohpier tempers out [[245/243]] with a 1/13-twelfth period. Kleiboh tempers out [[1728/1715]] with a 1/6-twelfth period. Passion tempers out [[64/63]], splitting the generator in six. Garibaldi tempers out [[225/224]]. Quasitemp tempers out [[875/864]]. Dodecacot tempers out [[10976/10935]]. These split the generator in five. Trismegistus tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period. Finally, semaja tempers out [[6144/6125]], splitting the generator in eleven.
 See:
@@ Line 28: / Line 28: @@
 * ''[[Garibaldi]]'' (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]
 * ''[[Quasitemp]]'' (+875/864) → [[Keemic temperaments #Quasitemp|Keemic temperaments]]
+* ''[[Dodecacot]]'' (+10976/10935) → [[Tetracot family #Dodecacot|Tetracot family]]
 * ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]]
+* ''[[Semaja]]'' (+6144/6125) → [[Porwell temperaments #Semaja|Porwell temperaments]]
 [[Category:Temperament clans]]