Gariboh clan: Difference between revisions

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The '''gariboh clan'' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the gariboh comma, [[3125/3087]] = {{monzo| 0 -2 5 -3 }}.

The '''gariboh clan''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the gariboh comma, [[3125/3087]] = {{monzo| 0 -2 5 -3 }}.

== Sirius ==

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=== 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]]. These split the generator in five. Finally, trismegistus tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period.

See:

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

* ''[[Ammonite]]'' (+250/243) → [[Porcupine family #Ammonite|Porcupine family]]

* ''[[Maja]]'' (+2430/2401) → [[Maja family #Septimal maja|Maja family]]

* [[Bohpier]] (+245/243) → [[Sensamagic clan #Bohpier|Sensamagic clan]]

* ''[[Kleiboh]]'' (+1728/1715) → [[Kleismic family #Kleiboh|Kleismic family]]

* ''[[Passion]]'' (+64/63) → [[Passion family #Passion|Passion family]]

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

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

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

[[Category:Temperament clans]]

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-The '''gariboh clan'' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the gariboh comma, [[3125/3087]] = {{monzo| 0 -2 5 -3 }}.
+The '''gariboh clan''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the gariboh comma, [[3125/3087]] = {{monzo| 0 -2 5 -3 }}.
-Temperaments dicussed elsewhere include [[Porcupine family #Ammonite|ammonite]], [[Sensamagic clan #Bohpier|bohpier]], [[Jubilismic clan #Diminished|diminished]], [[Schismatic family #Garibaldi|garibaldi]], [[Kleismic family #Kleiboh|kleiboh]], [[Maja family|maja]], [[Archytas clan #Passion|passion]], [[Keemic temperaments #Quasitemp|quasitemp]], and [[Magic family #Trismegistus|trismegistus]].
 == Sirius ==
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 [[Optimal ET sequence]]: [[6edt|b6]], [[7edt|b7]], [[13edt|b13]], [[71edt|b71]], [[84edt|b84]], [[97edt|b97]], [[110edt|b110]],  [[123edt|b123]], [[136edt|b136]]
+=== 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]]. These split the generator in five. Finally, trismegistus tempers out [[1029/1024]], splitting the generator in two with a 1/5-twelfth period.
+See:
+* ''[[Diminished]]'' (+36/35) → [[Dimipent family #Diminished|Dimipent family]]
+* ''[[Ammonite]]'' (+250/243) → [[Porcupine family #Ammonite|Porcupine family]]
+* ''[[Maja]]'' (+2430/2401) → [[Maja family #Septimal maja|Maja family]]
+* [[Bohpier]] (+245/243) → [[Sensamagic clan #Bohpier|Sensamagic clan]]
+* ''[[Kleiboh]]'' (+1728/1715) → [[Kleismic family #Kleiboh|Kleismic family]]
+* ''[[Passion]]'' (+64/63) → [[Passion family #Passion|Passion family]]
+* ''[[Garibaldi]]'' (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]
+* ''[[Quasitemp]]'' (+875/864) → [[Keemic temperaments #Quasitemp|Keemic temperaments]]
+* ''[[Trismegistus]]'' (+1029/1024) → [[Magic family #Trismegistus|Magic family]]
 [[Category:Temperament clans]]