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
Color name	3orgg1, thorugugu 1sn, Thorugugu comma
FJS name	[math]\text{d1}^{13}_{5,5,7}[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	16.9065
Weil height (log2 max(n, d))	16.9107
Wilson height (sopfr(nd))	41
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.42493 bits
Comma size	small
S-expression	S26 × S27
open this interval in xen-calc

The ratwolfsma, 351/350, is a 13-limit no-eleven 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 often arises as the following differences: (78/77)/(100/99), (81/80)(105/104), (126/125)(196/195), (225/224)/(625/624), and (325/324)(4375/4374). 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 major minthma, are extremely close in size and make up a consecutive pair of 13-limit superparticular commas. Their difference is 123201/123200, the chalmersia, 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 ratwolfsmic temperament, or in the 2.3.5.7.13 subgroup ratwolf temperament, and enables the ratwolfsmic chords.

See also

• Ratwolf triad
• Small comma
• List of superparticular intervals