729/728: Difference between revisions

BudjarnLambeth (talk | contribs)
mNo edit summary
Squib (talk | contribs)
No edit summary
 
(9 intermediate revisions by 5 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = squbema
| Color name = L3ur-2, lathuru negative 2nd
| Comma = yes
| Comma = yes
}} 729/728 is a superparticular 13-limit comma which is tempered out by several notable edos including [[41edo]], [[72edo]] and [[313edo]] among others, as well as by 13-limit [[Amity]] temperament.
}} 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]]).
 
== 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]]