77/64
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| Ratio | 77/64 |
| Factorization | 2-6 × 7 × 11 |
| Monzo | [-6 0 0 1 1⟩ |
| Size in cents | 320.14385¢ |
| Names | keenanismic minor third, octave-reduced 77th harmonic |
| Color name | 1oz3, lozo 3rd |
| FJS name | [math]\text{m3}^{7,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 12.2668 |
| Weil height (log2 max(n, d)) | 12.5336 |
| Wilson height (sopfr (nd)) | 30 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.51466 bits |
[sound info] | |
| 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