165/128
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Ratio
165/128
Factorization
2-7 × 3 × 5 × 11
Monzo
[-7 1 1 0 1⟩
Size in cents
439.5867¢
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{nd}[/math])
~4.20211 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.