Sensamagic clan: Difference between revisions

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The '''sensamagic clan''' tempers out the sensamagic comma, [[245/243]], a triprime [[comma]] with no factors of 2, {{val| 0 -5 1 2 }} to be exact.

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|Father family]]

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

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

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

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

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

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

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

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

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

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

* ''[[Pental]]'', {245/243, 16807/16384} → [[Pental family #Septimal pental|Pental family]]

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

* ''[[Fourfives]]'', {245/243, 235298/234375} → [[Fifive family #Fourfives|Fifive family]]

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

== BPS ==

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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]]'', {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]]

* ''[[fourfives]]'', {245/243, 235298/234375} → [[Fifive family #Fourfives]]

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

== Sensi ==

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 The '''sensamagic clan''' tempers out the sensamagic comma, [[245/243]], a triprime [[comma]] with no factors of 2, {{val| 0 -5 1 2 }} to be exact.
+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|Father family]]
+* ''[[Sidi]]'', {25/24, 245/243} → [[Dicot family #Sidi|Dicot family]]
+* [[Godzilla]], {49/48, 81/80} → [[Meantone family #Godzilla|Meantone family]]
+* ''[[Hedgehog]]'', {50/49, 245/243} → [[Porcupine family #Hedgehog|Porcupine family]]
+* [[Superpyth]], {64/63, 245/243} → [[Archytas clan #Superpyth|Archytas clan]]
+* ''[[Hemiaug]]'', {128/125, 245/243} → [[Augmented family #Hemiaug|Augmented family]]
+* [[Magic]], {225/224, 245/243} → [[Magic family #Septimal magic|Magic family]]
+* [[Rodan]], {245/243, 1029/1024} → [[Gamelismic clan #Rodan|Gamelismic clan]]
+* ''[[Shrutar]]'', {245/243, 2048/2025} → [[Diaschismic family #Shrutar|Diaschismic family]]
+* ''[[Octacot]]'', {245/243, 2401/2400} → [[Tetracot family #Octacot|Tetracot family]]
+* ''[[Clyde]]'', {245/243, 3136/3125} → [[Kleismic family #Clyde|Kleismic family]]
+* ''[[Pental]]'', {245/243, 16807/16384} → [[Pental family #Septimal pental|Pental family]]
+* ''[[Bamity]]'', {245/243, 64827/64000} → [[Amity family #Bamity|Amity family]]
+* ''[[Fourfives]]'', {245/243, 235298/234375} → [[Fifive family #Fourfives|Fifive family]]
+Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], [[sensamagic]], for which [[283edo|283EDO]] is the [[optimal patent val]].
 == BPS ==
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 [[Val]]s: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
-=== Extensions ===
-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]]
-* ''[[fourfives]]'', {245/243, 235298/234375} → [[Fifive family #Fourfives]]
-Tempering out 245/243 alone in the full 7-limit leads to a [[Planar temperament|rank-3 temperament]], [[sensamagic]], for which [[283edo|283EDO]] is the [[optimal patent val]].
 == Sensi ==