891/512

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Interval information
Ratio 891/512
Factorization 2-9 × 34 × 11
Monzo [-9 4 0 0 1
Size in cents 959.13795¢
Name Alpharabian ultramajor sixth
Color name L1o6, lalo 6th
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.15426 bits
open this interval in xen-calc

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