351/350

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Interval information
Ratio 351/350
Factorization 2-1 × 33 × 5-2 × 7-1 × 13
Monzo [-1 3 -2 -1 0 1
Size in cents 4.9393302¢
Name ratwolfsma
Color name 3orgg1, thorugugu 1sn,
Thorugugu comma
FJS name [math]\text{d1}^{13}_{5,5,7}[/math]
Special properties superparticular,
reduced
Tenney height (log2 n⋅d) 16.9065
Weil height (max(n, d)) 351
Benedetti height (n⋅d) 122850
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.50285 bits
Comma size small
S-expression S26 × S27
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 4375/4374 small of 325/324, and it factors into (676/675)(729/728), (540/539)(1001/1000), (441/440)(1716/1715), or (364/363)(9801/9800).

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.

See also