165/128
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Ratio | 165/128 |
Factorization | 2-7 × 3 × 5 × 11 |
Monzo | [-7 1 1 0 1⟩ |
Size in cents | 439.58666¢ |
Name | keenanismic supermajor third |
Color name | 1oy3, loyo 3rd |
FJS name | [math]\text{M3}^{5,11}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log2 nd) | 14.3663 |
Weil height (log2 max(n, d)) | 14.7326 |
Wilson height (sopfr(nd)) | 33 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.20211 bits |
open this interval in xen-calc |
165/128, the keenanismic supermajor third, is 385/384 (4.5 cents) sharper than 9/7. It arises in 11-limit scales as the interval between 16/15 and 11/8, and between 16/11 and 15/8.