364/363

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Interval information
Ratio 364/363
Factorization 22 × 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 (log2 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.

See also