81/55

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Interval information
Ratio 81/55
Factorization 34 × 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 (log2 nd) 12.1212
Weil height (log2 max(n, d)) 12.6797
Wilson height (sopfr(nd)) 28
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.32628 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.

See also