90/77

Interval information

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]\displaystyle{ \text{A2}^{5}_{7,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	12.7586
Weil norm (log2 max(n, d))	12.9837
Wilson norm (sopfr(nd))	31
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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.

It is very closely approximated in 40edo, which contextualizes it further as the product of 15/14 and 12/11.