364/363

Interval information

Ratio	364/363
Factorization	22 × 3-1 × 7 × 11-2 × 13
Monzo	[2 -1 0 1 -2 1⟩
Size in cents	4.762683¢
Name	gentle comma
Color name	3o1uuz2, tholuluzo 2nd, Tholuluzo comma
FJS name	[math]\displaystyle{ \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
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

• Gentle chords
• List of superparticular intervals