Sensamagic clan: Difference between revisions

Line 1:

The '''sensamagic clan''' tempers out the ~~[[sensamagic family|~~sensamagic comma]], [[245/243]], a triprime [[comma]] with no factors of 2, {{val| 0 -5 1 2 }} to be exact. ~~There are a number of~~ [[~~Regular Temperaments~~|~~linear temperament~~]]s ~~in the~~ [[~~Regular Temperaments~~|~~clan~~]] ~~(magic~~, father, ~~sensi~~, godzilla, superpyth, ~~octacot~~, rodan, ~~hedgehog~~, clyde, shrutar~~, sidi) but they've mostly been~~ discussed elsewhere. Tempering out 245/243 alone leads to a [[Planar temperament|rank ~~three~~ temperament]] for which [[283edo]] is the [[optimal patent val]].

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.

= Lambda =

Subgroup: 3.5.7

[[Comma list]]: 245/243

[[Sval]] [[mapping]]: [{{val| 1 1 2 }}, {{val| 0 -2 1 }}]

Sval mapping generators: ~3, ~9/7

[[Gencom]] [[mapping]]: [{{val| 0 1 1 2 }}, {{val| 0 0 -2 1 }}]

[[POTE generator]]: ~9/7 = 440.4881

== Extensions ==

For full 7-limit extensions, we have bohpier, sensa/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]], [[Sensipent family #Sensi|sensi]], [[Magic family #magic|magic]], [[Gamelismic clan#Rodan|rodan]], [[Tetracot family #Octacot|octacot]], [[Kleismic family #Clyde|clyde]], [[Diaschismic family #Shrutar|shrutar]] discussed elsewhere.

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]].

= Bohpier =

@@ Line 1: / Line 1: @@
-The '''sensamagic clan''' tempers out the [[sensamagic family|sensamagic comma]], [[245/243]], a triprime [[comma]] with no factors of 2, {{val| 0 -5 1 2 }} to be exact. There are a number of [[Regular Temperaments|linear temperament]]s in the [[Regular Temperaments|clan]] (magic, father, sensi, godzilla, superpyth, octacot, rodan, hedgehog, clyde, shrutar, sidi) but they've mostly been discussed elsewhere. Tempering out 245/243 alone leads to a [[Planar temperament|rank three temperament]] for which [[283edo]] is the [[optimal patent val]].
+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.
+= Lambda =
+Subgroup: 3.5.7
+[[Comma list]]: 245/243
+[[Sval]] [[mapping]]: [{{val| 1 1 2 }}, {{val| 0 -2 1 }}]
+Sval mapping generators: ~3, ~9/7
+[[Gencom]] [[mapping]]: [{{val| 0 1 1 2 }}, {{val| 0 0 -2 1 }}]
+[[POTE generator]]: ~9/7 = 440.4881
+[[Val]]s: [[4edt|b4]], [[9edt|b9]], [[13edt|b13]], [[56edt|b56]], [[69edt|b69]], [[82edt|b82]], [[95edt|b95]]
+== Extensions ==
+For full 7-limit extensions, we have bohpier, sensa/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]], [[Sensipent family #Sensi|sensi]], [[Magic family #magic|magic]], [[Gamelismic clan#Rodan|rodan]], [[Tetracot family #Octacot|octacot]], [[Kleismic family #Clyde|clyde]], [[Diaschismic family #Shrutar|shrutar]] discussed elsewhere.
+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]].
 = Bohpier =