90/77
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Ratio
90/77
Factorization
2 × 32 × 5 × 7-1 × 11-1
Monzo
[1 2 1 -1 -1⟩
Size in cents
270.0799¢
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{nd}[/math])
~4.14584 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.