77/72
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| Ratio | 77/72 |
| Factorization | 2-3 × 3-2 × 7 × 11 |
| Monzo | [-3 -2 0 1 1⟩ |
| Size in cents | 116.23385¢ |
| Name | undecimal secor |
| Color name | 1oz2, lozo 2nd |
| FJS name | [math]\text{m2}^{7,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 12.4367 |
| Weil height (log2 max(n, d)) | 12.5336 |
| Wilson height (sopfr(nd)) | 30 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.26853 bits |
[sound info] | |
| open this interval in xen-calc | |
77/72, the undecimal secor, lies between the 3\31 secor of 31edo and the 10\103 secor of 103edo. It is 385/384 (4.5 cents) sharper than 16/15 and 540/539 (3.2 cents) flatter than 15/14. In 11-limit JI scales it often appears, being the interval between 12/11 and 7/6, 8/7 and 11/9, 9/7 and 11/8, and their inversions. Tempering out 385/384 equates it with 16/15, tempering out 540/539 equates it with 15/14, and tempering out both makes it the marvel secor.