Sensipent comma

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(Redirected from 78732/78125)
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Interval information
Ratio 78732/78125
Factorization 22 × 39 × 5-7
Monzo [2 9 -7
Size in cents 13.399011¢
Name sensipent comma
Color name g72, Sepgu comma
FJS name [math]\text{dd2}_{5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 32.5182
Weil height (log2 max(n, d)) 32.5293
Wilson height (sopfr (nd)) 66
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.67628 bits
Comma size small
open this interval in xen-calc

78732/78125 = [2 9 -7, the sensipent comma or medium semicomma, is an interval of 13.399 cents which is the amount by which the difference between seven minor thirds and two fourths exceeds an octave, in other words (6/5)7 / (4/3)2 / 2. Equivalently, it is also equal to (6/5)5 / (10/9)2 / 2. (Tempering it out leads to sensipent temperament.)