1331/1323
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Ratio | 1331/1323 |
Factorization | 3^{-3} × 7^{-2} × 11^{3} |
Monzo | [0 -3 0 -2 3⟩ |
Size in cents | 10.437012¢ |
Name | aphrowe comma |
Color name | trilo-aruru negative 2nd, 1o^{3}rr-2 trilo-aruru comma |
FJS name | [math]\text{M}{-2}^{11,11,11}_{7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 20.7479 |
Weil height (log_{2} max(n, d)) | 20.7566 |
Wilson height (sopfr (nd)) | 56 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.15237 bits |
Comma size | small |
S-expression | S22^{2} × S23 |
open this interval in xen-calc |
1331/1323, the aphrowe comma, is an 11-limit, and 3.7.11 subgroup, comma that is the difference between a stack of two intervals of 11/7 and 27/11. Tempering it out in the 3.7.11 subgroup provides Mintaka temperament, which is one of the simplest temperaments in this subgroup with decent accuracy, and creates a 5L 2s macrodiatonic scale generated by 11/7 against the tritave.