120/119

Interval information

Ratio

120/119

Factorization

2³ × 3 × 5 × 7^-1 × 17^-1

Monzo

[3 1 1 -1 0 0 -1⟩

Size in cents

14.4874¢

Name

suroyo comma

Color name

suruyo negative 2nd, 17ury-2

FJS name

[math]\displaystyle{ \text{d}{-2}^{5}_{7,17} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

13.8017

Weil height (log₂ max(n, d))

13.8138

Wilson height (sopfr(nd))

38

Open this interval in xen-calc

120/119 is a 17-limit superparticular ratio of about 14.49 cents. It is the difference between 20/17 and 7/6, 17/10 and 12/7, or 30/17 and 7/4. Tempering this comma allows you to assign 10:12:15:17 as the inverse of 4:5:6:7, a much simpler version of what would otherwise be 70:84:105:120. William Lynch calls this the minor tetrad, and so equating it with the inverse of the major tetrad is quite useful.