8019/4096
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Ratio
8019/4096
Factorization
2-12 × 36 × 11
Monzo
[-12 6 0 0 1⟩
Size in cents
1163.048¢
Name
Alpharabian ultramajor seventh
Color name
L1o7, lalo 7th
FJS name
[math]\text{M7}^{11}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
24.9692
Weil height (log2 max(n, d))
25.9384
Wilson height (sopfr(nd))
53
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.42574 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.