891/512
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Ratio
891/512
Factorization
2-9 × 34 × 11
Monzo
[-9 4 0 0 1⟩
Size in cents
959.1379¢
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
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.