364/363
| Ratio | 364/363 |
| Factorization | 22 × 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 (log2 nd) | 17.0116 |
| Weil height (log2 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.