729/728
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.25169 bits
Comma size
unnoticeable
S-expression
S27
Open this interval in xen-calc
Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.