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 (log_{2} nd) | 12.4367 |
Weil height (log_{2} 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.