77/64

77/64, the keenanismic minor third or octave-reduced 77th harmonic, arises in 11-limit JI scales as the interval between 8/7 and 11/8, and between 15/11 and 7/4. It is 385/384 (4.5 cents) sharper than 6/5. It is almost exactly 1/7th of a cent sharper than the 320 cent minor third of 15edo.

Interval information

Ratio	77/64
Factorization	2-6 × 7 × 11
Monzo	[-6 0 0 1 1⟩
Size in cents	320.1438¢
Names	keenanismic minor third, octave-reduced 77th harmonic
Color name	1oz3, lozo 3rd
FJS name	[math]\displaystyle{ \text{m3}^{7,11} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	12.2668
Weil norm (log2 max(n, d))	12.5336
Wilson norm (sopfr(nd))	30
[sound info]
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See also

• Gallery of just intervals