Dimcomp comma
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Ratio | 390625/388962 |
Factorization | 2^{-1} × 3^{-4} × 5^{8} × 7^{-4} |
Monzo | [-1 -4 8 -4⟩ |
Size in cents | 7.3860816¢ |
Name | dimcomp comma |
Color name | quadruyoyo comma |
FJS name | [math]\text{5d}{-4}^{5,5,5,5,5,5,5,5}_{7,7,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 37.1447 |
Weil height (log_{2} max(n, d)) | 37.1508 |
Wilson height (sopfr (nd)) | 82 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.69301 bits |
Comma size | small |
open this interval in xen-calc |
The dimcomp comma is a 7-limit small comma measuring about 7.4 cents. It is the amount by which a stack of four quasi-tempered minor thirds (25/21) exceeds an octave.
Temperaments
Tempering out this comma in the 7-limit leads to the dimcomp temperament, with the effect of splitting the octave into four equal parts, and edos that are not multiples of 4 cannot be tempering it out. Rank-2 temperaments tempering it out include diminished, compton, bidia, quadritikleismic, octoid, etc.
See dimcomp family for a number of rank-3 temperaments where it is tempered out.