Gariboh clan: Difference between revisions

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: mapping generators: ~3, ~25/21

[[Optimal tuning]] ([[~~POTE~~]]): ~3 = ~~1\1edt~~, ~25/21 = 293.~~740~~

[[Optimal tuning]]s:

* [[WE]]: ~3 = 1902.4455{{c}}, ~25/21 = 293.7393{{c}}

* [[CWE]]: ~3 = 1901.9550{{c}}, ~25/21 = 293.7594{{c}}

[[Badness]] (Sintel): 0.213

=== Overview to extensions ===

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]]. 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.

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. Submerged tempers out [[525/512]], splitting the generator in nine. Finally, semaja tempers out [[6144/6125]], splitting the generator in eleven.

See:

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

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

* [[Submerged]] (+525/512) → [[Avicennmic temperaments #Submerged|Avicennmic temperaments]]

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

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[[Category:Temperament clans]]

~~[[Category:Pages with mostly numerical content]]~~

[[Category:Gariboh clan| ]]

~~[[Category:Gariboh| ]] ~~

[[Category:Rank 2]]

@@ Line 8: / Line 8: @@
 {{Mapping|legend=2| 1 1 1 | 0 3 5 }}
 : mapping generators: ~3, ~25/21
-[[Optimal tuning]] ([[POTE]]): ~3 = 1\1edt, ~25/21 = 293.740
+[[Optimal tuning]]s:
+* [[WE]]: ~3 = 1902.4455{{c}}, ~25/21 = 293.7393{{c}}
+* [[CWE]]: ~3 = 1901.9550{{c}}, ~25/21 = 293.7594{{c}}
 [[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]],  [[123edt|b123]], [[136edt|b136]]
+[[Badness]] (Sintel): 0.213
 === Overview to extensions ===
 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]]. 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.
+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. Submerged tempers out [[525/512]], splitting the generator in nine. Finally, semaja tempers out [[6144/6125]], splitting the generator in eleven.
 See:
@@ Line 31: / Line 34: @@
 * ''[[Dodecacot]]'' (+10976/10935) → [[Tetracot family #Dodecacot|Tetracot family]]
 * ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]]
+* [[Submerged]] (+525/512) → [[Avicennmic temperaments #Submerged|Avicennmic temperaments]]
 * ''[[Semaja]]'' (+6144/6125) → [[Porwell temperaments #Semaja|Porwell temperaments]]
@@ Line 36: / Line 40: @@
 [[Category:Temperament clans]]
-[[Category:Pages with mostly numerical content]]
 [[Category:Gariboh clan| ]] <!-- main article -->
-[[Category:Gariboh| ]] <!-- key article -->
 [[Category:Rank 2]]