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.

891/512

See also