375/374: Difference between revisions
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The '''ursulisma''' | 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]]. | ||
== Commatic relations == | == Commatic relations == | ||
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* [[441/440]] and [[2500/2499]] | * [[441/440]] and [[2500/2499]] | ||
* [[385/384]] and [[14400/14399]] | * [[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'''. | |||
Revision as of 10:05, 16 February 2023
| Interval information |
reduced
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.
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:
Not to mention some nonsuperparticular but useful relations:
Temperaments
Tempering out this comma in the 17-limit leads to the rank-6 ursulismic temperament.