8019/4096
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Ratio | 8019/4096 |
Factorization | 2^{-12} × 3^{6} × 11 |
Monzo | [-12 6 0 0 1⟩ |
Size in cents | 1163.0479¢ |
Name | Alpharabian ultramajor seventh |
Color name | L1o7, lalo 7th |
FJS name | [math]\text{M7}^{11}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 24.9692 |
Weil height (log_{2} max(n, d)) | 25.9384 |
Wilson height (sopfr (nd)) | 53 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.65067 bits |
open this interval in xen-calc |
8019/4096, the Alpharabian ultramajor seventh, is the basic ultramajor seventh in the 2.3.11 subgroup. It differs from 63/32 by 896/891, and differs from 88/45 by the schisma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 243/128.