891/512

Interval information

Ratio	891/512
Factorization	2-9 × 34 × 11
Monzo	[-9 4 0 0 1⟩
Size in cents	959.1379¢
Name	Alpharabian ultramajor sixth
FJS name	[math]\displaystyle{ \text{M6}^{11} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	18.7993
Weil height (log2 max(n, d))	19.5986
Wilson height (sopfr(nd))	41
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891/512, the Alpharabian ultramajor sixth, is the basic ultramajor sixth in the 2.3.11 subgroup. It differs from 7/4 by the pentacircle comma, and differs from 512/297 by the Betarabian comma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 27/16.

See also

• 1024/891 – its octave complement
• Gallery of just intervals