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 | 270.07987¢ |
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{nd}[/math]) |
~4.14584 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.