Hemimean clan: Difference between revisions

Line 19:

=== Extensions ===

Full 7-limit [[extension]]s of didacus, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). These include hemithirds, misty, semisept, sengagen, subpental, arch, and emka, considered below, as well as [[Meantone family #Septimal meantone~~|septimal meantone~~]], [[~~Archytas clan~~ #~~Passion|passion~~]], [[~~Augmented~~ family #~~Hexe|hexe~~]], [[Würschmidt family #Hemiwürschmidt~~|hemiwürschmidt~~]], [[Ragismic microtemperaments #Parakleismic~~|parakleismic~~]], [[~~Kleismic family #Clyde|clyde~~]], [[Schismatic family #Bischismic~~|bischismic~~]], [[~~Stearnsmic clan #Decistearn|~~decistearn]], ~~and~~ [[~~Sycamore family~~ #~~Sycamore|sycamore~~]] ~~considered elsewhere.~~

Full 7-limit [[extension]]s of didacus, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). These include hemithirds, misty, semisept, sengagen, subpental, arch, and emka, considered below, as well as these considered elsewhere:

* ''[[hexe]]'', {50/49, 128/125} → [[Augmented family #Hexe]]

* ''[[passion]]'', {64/63, 3125/3087} → [[Archytas clan #Passion]]

* [[meantone]], {81/80, 126/125} → [[Meantone family #Septimal meantone]]

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

* ''[[sycamore]]'', {686/675, 875/864} → [[Sycamore family #Septimal sycamore]]

* ''[[bidia]]'', {2048/2025, 3136/3125} → [[Diaschismic family #Bidia]]

* ''[[hemiwürschmidt]]'', {2401/2400, 3136/3125} → [[Würschmidt family #Hemiwürschmidt]]

* [[parakleismic]], {3136/3125, 4375/4374} → [[Ragismic microtemperaments #Parakleismic]]

* ''[[bischismic]]'', {3136/3125, 32805/32768} → [[Schismatic family #Bischismic]]

* ''[[decistearn]]'', {3136/3125, 118098/117649} → [[Stearnsmic clan #Decistearn]]

A notable subgroup extension of didacus is [[Chromatic pairs #Roulette|roulette]].

== Hemithirds ==

@@ Line 19: / Line 19: @@
 === Extensions ===
-Full 7-limit [[extension]]s of didacus, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). These include hemithirds, misty, semisept, sengagen, subpental, arch, and emka, considered below, as well as [[Meantone family #Septimal meantone|septimal meantone]], [[Archytas clan #Passion|passion]], [[Augmented family #Hexe|hexe]], [[Würschmidt family #Hemiwürschmidt|hemiwürschmidt]], [[Ragismic microtemperaments #Parakleismic|parakleismic]], [[Kleismic family #Clyde|clyde]], [[Schismatic family #Bischismic|bischismic]], [[Stearnsmic clan #Decistearn|decistearn]], and [[Sycamore family #Sycamore|sycamore]] considered elsewhere.
+Full 7-limit [[extension]]s of didacus, in general, split the [[syntonic comma]] into two, each for [[126/125]]~[[225/224]], as 3136/3125 = (126/125)/(225/224). These include hemithirds, misty, semisept, sengagen, subpental, arch, and emka, considered below, as well as these considered elsewhere:
+* ''[[hexe]]'', {50/49, 128/125} → [[Augmented family #Hexe]]
+* ''[[passion]]'', {64/63, 3125/3087} → [[Archytas clan #Passion]]
+* [[meantone]], {81/80, 126/125} → [[Meantone family #Septimal meantone]]
+* ''[[clyde]]'', {245/243, 3136/3125} → [[Kleismic family #Clyde]]
+* ''[[sycamore]]'', {686/675, 875/864} → [[Sycamore family #Septimal sycamore]]
+* ''[[bidia]]'', {2048/2025, 3136/3125} → [[Diaschismic family #Bidia]]
+* ''[[hemiwürschmidt]]'', {2401/2400, 3136/3125} → [[Würschmidt family #Hemiwürschmidt]]
+* [[parakleismic]], {3136/3125, 4375/4374} → [[Ragismic microtemperaments #Parakleismic]]
+* ''[[bischismic]]'', {3136/3125, 32805/32768} → [[Schismatic family #Bischismic]]
+* ''[[decistearn]]'', {3136/3125, 118098/117649} → [[Stearnsmic clan #Decistearn]]
 A notable subgroup extension of didacus is [[Chromatic pairs #Roulette|roulette]].
 == Hemithirds ==