81/55
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Ratio | 81/55 |
Factorization | 3^{4} × 5^{-1} × 11^{-1} |
Monzo | [0 4 -1 0 -1⟩ |
Size in cents | 670.18835¢ |
Name | undecimal acute paraminor fifth |
Color name | 1ug5, lugu 5th |
FJS name | [math]\text{P5}_{5,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 12.1212 |
Weil height (log_{2} max(n, d)) | 12.6797 |
Wilson height (sopfr (nd)) | 28 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.59588 bits |
open this interval in xen-calc |
81/55, the undecimal acute paraminor fifth, is an 11-limit interval. It is 243/242 (7.1 ¢) sharp of 22/15, and is the interval between 10/9 and 18/11, as well as between 11/9 and 9/5. It is also 55/54 flat of the perfect fifth (3/2). Most conspicuously, it is 81/80 sharp of 16/11, which is what leads to its name.