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
FJS name [math]\text{dd2}_{5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 32.5182
Weil height (max(n, d)) 78732
Benedetti height (n⋅d) 6150937500
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~3.0816 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. Tempering it out leads to sensipent temperament.