8019/4096

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 8019/4096
Factorization 2-12 × 36 × 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 (log2 nd) 24.9692
Weil height (log2 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.

See also