729/728: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = squbema
| Name = squbema
| 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 often arises as the difference between simpler commas: ([[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 often arises as the difference between simpler commas: ([[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]]).  

Revision as of 18:20, 7 September 2023

Interval information
Ratio 729/728
Factorization 2-3 × 36 × 7-1 × 13-1
Monzo [-3 6 0 -1 0 -1
Size in cents 2.376437¢
Name squbema
Color name L3ur-2, lathuru negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}_{7,13} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 19.0176
Weil height (log2 max(n, d)) 19.0196
Wilson height (sopfr(nd)) 44
Comma size unnoticeable
S-expression S27
Open this interval in xen-calc

The squbema, 729/728, is a 13-limit superparticular comma measuring about 2.4 ¢. It often arises as the difference between simpler commas: (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.