729/728

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]\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
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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.