364/363
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Ratio | 364/363 |
Factorization | 2^{2} × 3^{-1} × 7 × 11^{-2} × 13 |
Monzo | [2 -1 0 1 -2 1⟩ |
Size in cents | 4.7626826¢ |
Name | 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 gentle comma, is a 13-limit no-5 small 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 the gentle comma leads to a form of gentle temperament and enables gentle chords.