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

tholuluzo comma

FJS name

[math]\displaystyle{ \text{m2}^{7,13}_{121} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

17.0116

Weil height (log₂ max(n, d))

17.0156

Wilson height (sopfr(nd))

49

Open this interval in xen-calc

The gentle comma, 364/363, is a 13-limit no-5 comma measuring about 4.8 cents. 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.

364/363

Temperaments

See also