Sensamagic clan: Difference between revisions

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=== Extensions ===

For full 7-limit extensions, we have sensi, bohpier, escaped, salsa, pycnic, cohemiripple, superthird, magus and leapweek discussed below, as well as [[Father family #Father~~|father~~]], [[Dicot family #Sidi~~|sidi~~]], [[Meantone family #Godzilla~~|godzilla~~]], [[Porcupine family #Hedgehog~~|hedgehog~~]], [[Archytas clan #Superpyth~~|superpyth~~]], [[Augmented family #Hemiaug~~|hemiaug~~]], [[Magic family #~~magic|magic~~]], [[Gamelismic clan#Rodan~~|rodan~~]], [[~~Tetracot~~ family #~~Octacot|~~octacot]], [[~~Diaschismic~~ family #~~Shrutar|shrutar~~]], [[~~Amity~~ family #~~Bamity|~~bamity]], ~~and~~ [[~~Kleismic~~ family #~~Clyde|clyde~~]] ~~discussed elsewhere.~~

For full 7-limit extensions, we have sensi, bohpier, escaped, salsa, pycnic, cohemiripple, superthird, magus and leapweek discussed below, as well as

* ''[[father]]'', {16/15, 28/27} → [[Father family #Father]]

* ''[[sidi]]'', {25/24, 245/243} → [[Dicot family #Sidi]]

* [[godzilla]], {49/48, 81/80} → [[Meantone family #Godzilla]]

* ''[[hedgehog]]'', {50/49, 245/243} → [[Porcupine family #Hedgehog]]

* [[superpyth]], {64/63, 245/243} → [[Archytas clan #Superpyth]]

* ''[[hemiaug]]'', {128/125, 245/243} → [[Augmented family #Hemiaug]]

* [[magic]], {225/224, 245/243} → [[Magic family #Magic]]

* [[rodan]], {245/243, 1029/1024} → [[Gamelismic clan #Rodan]]

* ''[[shrutar]]'', {245/243, 2048/2025} → [[Diaschismic family #Shrutar]]

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

* ''[[clyde]]'', {245/243, 3136/3125} → [[Kleismic family #Clyde]]

* ''[[bamity]]'', {245/243, 64827/64000} → [[Amity family #Bamity]]

Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], sensamagic, for which [[283edo]] is the [[optimal patent val]].

Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], [[sensamagic]], for which [[283edo]] is the [[optimal patent val]].

== Sensi ==

@@ Line 17: / Line 17: @@
 === Extensions ===
-For full 7-limit extensions, we have sensi, bohpier, escaped, salsa, pycnic, cohemiripple, superthird, magus and leapweek discussed below, as well as [[Father family #Father|father]], [[Dicot family #Sidi|sidi]], [[Meantone family #Godzilla|godzilla]], [[Porcupine family #Hedgehog|hedgehog]], [[Archytas clan #Superpyth|superpyth]], [[Augmented family #Hemiaug|hemiaug]], [[Magic family #magic|magic]], [[Gamelismic clan#Rodan|rodan]], [[Tetracot family #Octacot|octacot]], [[Diaschismic family #Shrutar|shrutar]], [[Amity family #Bamity|bamity]], and [[Kleismic family #Clyde|clyde]] discussed elsewhere.
+For full 7-limit extensions, we have sensi, bohpier, escaped, salsa, pycnic, cohemiripple, superthird, magus and leapweek discussed below, as well as
+* ''[[father]]'', {16/15, 28/27} → [[Father family #Father]]
+* ''[[sidi]]'', {25/24, 245/243} → [[Dicot family #Sidi]]
+* [[godzilla]], {49/48, 81/80} → [[Meantone family #Godzilla]]
+* ''[[hedgehog]]'', {50/49, 245/243} → [[Porcupine family #Hedgehog]]
+* [[superpyth]], {64/63, 245/243} → [[Archytas clan #Superpyth]]
+* ''[[hemiaug]]'', {128/125, 245/243} → [[Augmented family #Hemiaug]]
+* [[magic]], {225/224, 245/243} → [[Magic family #Magic]]
+* [[rodan]], {245/243, 1029/1024} → [[Gamelismic clan #Rodan]]
+* ''[[shrutar]]'', {245/243, 2048/2025} → [[Diaschismic family #Shrutar]]
+* ''[[octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot]]
+* ''[[clyde]]'', {245/243, 3136/3125} → [[Kleismic family #Clyde]]
+* ''[[bamity]]'', {245/243, 64827/64000} → [[Amity family #Bamity]]
-Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], sensamagic, for which [[283edo]] is the [[optimal patent val]].
+Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], [[sensamagic]], for which [[283edo]] is the [[optimal patent val]].
 == Sensi ==