77/64

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Interval information

Ratio

77/64

Factorization

2^-6 × 7 × 11

[-6 0 0 1 1⟩

Size in cents

320.1438¢

Names

keenanismic minor third,
octave-reduced 77th harmonic

1oz3, lozo 3rd

[math]\displaystyle{ \text{m3}^{7,11} }[/math]

Special properties

reduced,
reduced harmonic

Tenney height (log₂ nd)

12.2668

Weil height (log₂ max(n, d))

12.5336

Wilson height (sopfr(nd))

30

Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])

~4.11809 bits

Open this interval in xen-calc

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 16/11 and 7/4. It is 385/384 (4.5 ¢) sharper than 6/5. It is almost exactly 1/7th of a cent sharper than the 320 ¢ minor third of 15edo.

See also

128/77 – its octave complement
96/77 – its fifth complement
Gallery of just intervals
File:Ji-77-64-csound-foscil-220hz.mp3 – another sound example

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