729/728
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Ratio | 729/728 |
Factorization | 2^{-3} × 3^{6} × 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]\text{d}{-2}_{7,13}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 19.0176 |
Weil height (log_{2} max(n, d)) | 19.0196 |
Wilson height (sopfr (nd)) | 44 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.42293 bits |
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.