77/72

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
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.

See also