891/512
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| 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.