729/728: Difference between revisions
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Added another difference. Tags: Mobile edit Mobile web edit Advanced mobile edit |
The original intention was to only list superparticular relations so the one with 64/63 is now moved to another group |
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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 following comma differences: | }} 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 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. | 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]] | ||
Revision as of 12:29, 24 October 2024
| Interval information |
reduced
The squbema, 729/728, is a 13-limit superparticular comma measuring about 2.4 ¢. 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.