375/374: Difference between revisions

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no explanation of the name ursulisma was included so im adding this alternative name
"Septendecimal wholetones comma" is sus. +subgroup temp name; +etymology
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{{Infobox Interval
{{Infobox Interval
| Name = septendecimal wholetones comma, ursulisma
| Name = ursulisma
| Color name =
| Color name =
| Comma = yes
| Comma = yes
}}
}}


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]].
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 [[Harmonic class|HC17]] and the other is not of the 2.3.17 subgroup).  


== Commatic relations ==
== Commatic relations ==
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== Temperaments ==
== Temperaments ==
Tempering out this comma in the 17-limit leads to the rank-6 '''ursulismic temperament'''.
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 [[User:VIxen|VIxen]] in 2023. It refers to [[Wikipedia: 375 Ursula|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 [[Wikipedia: List of minor planets|list of minor planets]] in case everything else failed. And Aura was the first to put together the word ''ursulisma''.

Revision as of 07:54, 17 February 2023

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:

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. 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.