375/374

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¢
Name	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 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. It has also been described as the septendecimal wholetones comma (though the whole tones it separates are not septendecimal as one of them is not HC17 and the other is not of the 2.3.17 subgroup).

Commatic relations

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

• 100/99 and 136/135
• 120/119 and 176/175
• 225/224 and 561/560
• 273/272 and 1001/1000
• 325/324 and 2431/2430
• 364/363 and 12376/12375

It factors into the following superparticular pairs:

• 625/624 and 936/935
• 540/539 and 1225/1224
• 441/440 and 2500/2499
• 385/384 and 14400/14399

Not to mention some nonsuperparticular but useful relations:

• 595/594 and 2025/2023

Temperaments

Tempering out this comma in the 17-limit leads to the rank-6 ursulismic temperament. Tempering it out in the 2.3.5.11.17 subgroup leads to the rank-4 ursulic temperament.

Etymology

The ursulisma was named by Aura and VIxen in 2023. It refers to 375 Ursula, the asteroid. After some naming attempts in the XA Discord Server that tuned out dissatisfactory to the participants, VIxen came up with the idea to look up the list of minor planets in case everything else failed. And Aura was the first to put together the word ursulisma.