729/728: Difference between revisions

(4 intermediate revisions by 4 users not shown)

Line 3:

| Color name = L3ur-2, lathuru negative 2nd

| Comma = yes

}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

}} The '''squbema''', '''729/728''', is a [[13-limit]] [[square superparticular|square]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).

Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.

== Temperaments ==

Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament and [[catakleismic]].

[[Category:Squbemic]]

[[Category:Commas with unknown etymology]]

@@ Line 3: / Line 3: @@
 | Color name = L3ur-2, lathuru negative 2nd
 | Comma = yes
-}} The '''squbema''', '''729/728''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), ([[540/539]])/([[2080/2079]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).
+}} The '''squbema''', '''729/728''', is a [[13-limit]] [[square superparticular|square]] [[superparticular]] [[comma]] measuring about 2.4{{cent}}. It is the difference between [[27/26]] and [[28/27]]. It also arises as the following superparticular-comma differences: ([[81/80]])/([[91/90]]), ([[225/224]])/([[325/324]]), ([[243/242]])/([[364/363]]), ([[351/350]])/([[676/675]]), and ([[540/539]])/([[2080/2079]]), not to mention some nonsuperparticular but useful relations, such as ([[64/63]])/([[6656/6561]]). It factors into ([[1575/1573]])([[9801/9800]]) as well as ([[2200/2197]])([[123201/123200]]).
-Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament.
+== Temperaments ==
+Tempering out this comma in the 13-limit leads to the rank-5 '''squbemic temperament''', and enables [[squbemic chords]]. It is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by the 13-limit [[amity]] temperament and [[catakleismic]].
 [[Category:Squbemic]]
+[[Category:Commas with unknown etymology]]