Sensipent comma
(Redirected from 78732/78125)
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Ratio | 78732/78125 |
Factorization | 2^{2} × 3^{9} × 5^{-7} |
Monzo | [2 9 -7⟩ |
Size in cents | 13.399011¢ |
Name | sensipent comma |
Color name | g^{7}2, Sepgu comma |
FJS name | [math]\text{dd2}_{5,5,5,5,5,5,5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 32.5182 |
Weil height (log_{2} 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.)