Dimcomp comma
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| Ratio | 390625/388962 |
| Factorization | 2-1 × 3-4 × 58 × 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 (log2 nd) | 37.1447 |
| Weil height (log2 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.