352/351

Interval information

Ratio

352/351

Factorization

2⁵ × 3^-3 × 11 × 13^-1

Monzo

[5 -3 0 0 1 -1⟩

Size in cents

4.925278¢

Names

minthma,
11/13-kleisma

FJS name

[math]\displaystyle{ \text{P1}^{11}_{13} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

16.9148

Weil height (log₂ max(n, d))

16.9189

Wilson height (sopfr(nd))

43

Open this interval in xen-calc

The minthma or 11/13-kleisma, 352/351, is a 13-limit (also 2.3.11.13 subgroup) small comma measuring about 4.9 cents. This comma can be described in a number of ways. First, it is the difference between the tridecimal minor third of 13/11 and the Pythagorean minor third of 32/27, hence, between the tridecimal quartertone of 1053/1024 and the undecimal quartertone of 33/32. Second, it is the difference between various tridecimal intervals and their adjacent undecimal intervals such as between 16/13 and 27/22, and between 39/32 and 11/9.

352/351 and 351/350, the ratwolfsma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is 123201/123200, the chalmersma, the smallest 13-limit superparticular comma; their sum is 176/175, the valinorsma, an 11-limit superparticular comma.

352/351

See also