729/728: Difference between revisions

+more important identities
m Fix wording
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| Color name = L3ur-2, lathuru negative 2nd
| Color name = L3ur-2, lathuru negative 2nd
| Comma = yes
| 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 difference between the following commas: ([[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]] [[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]]).  


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.
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.


[[Category:Squbemic]]
[[Category:Squbemic]]