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 | tholuluzo comma |
FJS name | [math]\text{m2}^{7,13}_{11,11}[/math] |
Special properties | superparticular, reduced |
Tenney height (log_{2} n⋅d) | 17.0116 |
Weil height (max(n, d)) | 364 |
Benedetti height (n⋅d) | 132132 |
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.
In terms of commas, it can be characterized by (91/90)/(121/120), (243/242)/(729/728), (325/324)/(3025/3024), (351/350)/(9801/9800), or (352/351)/(10648/10647). It factors into (385/384)(6656/6655), (441/440)(2080/2079), or (676/675)(1575/1573) among many other options.
Temperaments
Tempering out the gentle comma leads to a form of gentle temperament and enables gentle chords.