90/77

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 90/77
Factorization 2 × 32 × 5 × 7-1 × 11-1
Monzo [1 2 1 -1 -1
Size in cents 270.07987¢
Name swetismic subminor third
Color name 1ury2, luruyo 2nd
FJS name [math]\text{A2}^{5}_{7,11}[/math]
Special properties reduced
Tenney height (log2 nd) 12.7586
Weil height (log2 max(n, d)) 12.9837
Wilson height (sopfr (nd)) 31
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.5338 bits
open this interval in xen-calc

90/77, the swetismic subminor third, is 540/539 (3.2 cents) sharp of 7/6. It arises in 11-limit scales as the interval between 11/10 and 9/7, 7/6 and 15/11, 11/9 and 10/7, and their inversions.

Additionally, it is 385/384 (4.5 cents) flat of 75/64, the classic augmented second.