1375/1372
| Ratio | 1375/1372 |
| Factorization | 2-2 × 53 × 7-3 × 11 |
| Monzo | [-2 0 3 -3 1⟩ |
| Size in cents | 3.7813646¢ |
| Name | moctdel comma |
| Color name | 1or3y3-3, lotriruyo negative 3rd, Lotriruyo comma |
| FJS name | [math]\text{dd}{-3}^{5,5,5,11}_{7,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.8473 |
| Weil height (log2 max(n, d)) | 20.8504 |
| Wilson height (sopfr (nd)) | 51 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.33153 bits |
| Comma size | small |
| open this interval in xen-calc | |
1375/1372, the moctdel comma is a no-threes 11-limit comma with a size of 3.78 cents. It is the amount by which a stack of three 7/5s falls short of 11/4, undecimal eleventh (one octave above 11/8). Some rank-two temperaments such as miracle, octoid and grendel temper out this comma, and from this it derives its name.
Temperaments
In the 2.7/5.11 subgroup it creates a very efficient temperament with a generator of 7/5, two of which equals 55/28 and three of which equals 11/4 as discussed. If we split the generator in 3, we get ~28/25 which is notable as the difference between 5/4 and 7/5 so that two gens finds 5/4, four gens finds ~25/16~11/7 and seven gens finds ~11/5, which is the (no-3's) 11-limit version of didacus, a very strong temperament of the 2.5.7.11 subgroup.