351/350
Ratio | 351/350 |
Factorization | 2^{-1} × 3^{3} × 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 (log_{2} nd) | 16.9065 |
Weil height (log_{2} 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.