375/374

From Xenharmonic Wiki
Revision as of 01:49, 17 February 2023 by Godtone (talk | contribs) (no explanation of the name ursulisma was included so im adding this alternative name)
Jump to navigation Jump to search
Interval information
Ratio 375/374
Factorization 2-1 × 3 × 53 × 11-1 × 17-1
Monzo [-1 1 3 0 -1 0 -1⟩
Size in cents 4.622791¢
Names septendecimal wholetones comma,
ursulisma
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5}_{11,17} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 17.0976
Weil height (log2 max(n, d)) 17.1015
Wilson height (sopfr(nd)) 48
Comma size small
Open this interval in xen-calc

The septendecimal wholetones comma, or ursulisma, is a 17-limit (also 2.3.5.11.17 subgroup) superparticular comma with a ratio of 375/374. It is the interval that separates 17/15 from 25/22, as well as separating 25/17 from 22/15.

Commatic relations

This comma identifies itself as the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Not to mention some nonsuperparticular but useful relations:

Temperaments

Tempering out this comma in the 17-limit leads to the rank-6 ursulismic temperament.

Retrieved from "https://en.xen.wiki/index.php?title=375/374&oldid=103054"