77/64
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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]\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]\sqrt{nd}[/math])
~4.11809 bits
[sound info]
open this interval in xen-calc
| Interval information |
octave-reduced 77th harmonic
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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