351/350

Interval information

Ratio

351/350

Factorization

2^-1 × 3³ × 5^-2 × 7^-1 × 13

Monzo

[-1 3 -2 -1 0 1⟩

Size in cents

4.93933¢

Name

ratwolfsma

FJS name

[math]\displaystyle{ \text{d1}^{13}_{25,7} }[/math]

Special properties

superparticular,
reduced

Tenney height (log₂ nd)

16.9065

Weil height (log₂ max(n, d))

16.9107

Wilson height (sopfr(nd))

41

Open this interval in xen-calc

The ratwolfsma, 351/350, is a 13-limit no-11 comma measuring about 4.9 cents. It is the difference between 28/27 and 26/25, between 81/70 and 15/13, and between 35/27 and 13/10.

In terms of commas, it is 9801/9800 large of 364/363, and 4375/4374 small of 325/324, and it factors into (676/675)(729/728).

351/350 and 352/351, the minthma, 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.

Tempering it out leads to the rank-five ratwolf temperament, enabling the ratwolf triad.

351/350

See also