165/128

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 165/128
Factorization 2-7 × 3 × 5 × 11
Monzo [-7 1 1 0 1
Size in cents 439.58666¢
Name keenanismic supermajor third
Color name 1oy3, loyo 3rd
FJS name [math]\text{M3}^{5,11}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 14.3663
Weil height (log2 max(n, d)) 14.7326
Wilson height (sopfr (nd)) 33
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.57401 bits
open this interval in xen-calc

165/128, the keenanismic supermajor third, is 385/384 (4.5 cents) sharper than 9/7. It arises in 11-limit scales as the interval between 16/15 and 11/8, and between 16/11 and 15/8.

See also