364/363
Ratio | 364/363 |
Factorization | 2^{2} × 3^{-1} × 7 × 11^{-2} × 13 |
Monzo | [2 -1 0 1 -2 1⟩ |
Size in cents | 4.7626826¢ |
Names | minor minthma, minor gentle comma |
Color name | 3o1uuz2, tholuluzo 2nd, Tholuluzo comma |
FJS name | [math]\text{m2}^{7,13}_{11,11}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} nd) | 17.0116 |
Weil height (log_{2} max(n, d)) | 17.0156 |
Wilson height (sopfr (nd)) | 49 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.49618 bits |
Comma size | small |
open this interval in xen-calc |
364/363, the minor minthma or minor gentle comma, is a small 13-limit no-5 comma measuring about 4.8 ¢. It is the amount by which an undecimal major third 14/11 and a tridecimal minor third 13/11 exceed a just perfect fifth 3/2.
Commatic relations
In terms of commas, it is the difference between the following superparticular pairs:
- 91/90 and 121/120
- 243/242 and 729/728
- 325/324 and 3025/3024
- 351/350 and 9801/9800
- 352/351 and 10648/10647
It factors into the following superparticular pairs:
Not to mention some nonsuperparticular but useful relations:
Temperaments
Tempering out this comma leads to a form of minor minthmic temperament (full 13-limit rank-5) or minorminth temperament (2.3.7.11.13 subgroup rank-4), which enables minor minthmic chords.
History and etymology
This comma was known as the gentle comma from 2011. In 2022, Margo Schulter requested it should be changed to minor/lesser gentle comma to distinguish it from 352/351, which would gain the name major/greater gentle comma. The minor minthma was also added to this comma in contrast to the major minthma of 352/351. Both commas were essential to define the gentle temperament.