833/832: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = horizon comma | | Name = horizma, horizon comma | ||
| Color name = 17o3uzz2, sothuzozo 2nd,<br>Sothuzozo comma | | Color name = 17o3uzz2, sothuzozo 2nd,<br>Sothuzozo comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''833/832''', the '''horizon comma''', is a [[17-limit]] [[unnoticeable comma]], the difference between [[52/49]] and [[17/16]]. It is also the difference between [[49/48]] and [[52/51]]. | '''833/832''', the '''horizma''' or '''horizon comma''', is a [[17-limit]] (also 2.7.13.17 [[subgroup]]) [[unnoticeable comma]], the difference between [[52/49]] and [[17/16]]. It is also the difference between [[49/48]] and [[52/51]]. | ||
== Commatic relations == | |||
This comma identifies itself as the difference between the following superparticular pairs: | |||
* [[105/104]] and [[120/119]] | |||
* [[196/195]] and [[256/255]] | |||
* [[289/288]] and [[442/441]] | |||
* [[385/384]] and [[715/714]] | |||
* [[441/440]] and [[936/935]] | |||
* [[561/560]] and [[1716/1715]] | |||
* [[595/594]] and [[2080/2079]] | |||
* [[625/624]] and [[2500/2499]] | |||
* [[729/728]] and [[5832/5831]] | |||
It factors into the following superparticular pairs: | |||
* [[1275/1274]] and [[2401/2400]] | |||
* [[1225/1224]] and [[2601/2600]] | |||
== Temperaments == | |||
Tempering out this comma in the 17-limit results in the rank-6 '''horizmic temperament''', or in the 2.7.13.17 subgroup, the rank-3 '''horizon temperament'''. | |||
== Etymology == | |||
The horizma was named by [[User:Jerdle|Jerdle]] in 2021. | |||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Horizmic]] | |||
Revision as of 10:06, 18 February 2023
| Interval information |
horizon comma
Sothuzozo comma
reduced
S49 × S50 × S51
833/832, the horizma or horizon comma, is a 17-limit (also 2.7.13.17 subgroup) unnoticeable comma, the difference between 52/49 and 17/16. It is also the difference between 49/48 and 52/51.
Commatic relations
This comma identifies itself as the difference between the following superparticular pairs:
- 105/104 and 120/119
- 196/195 and 256/255
- 289/288 and 442/441
- 385/384 and 715/714
- 441/440 and 936/935
- 561/560 and 1716/1715
- 595/594 and 2080/2079
- 625/624 and 2500/2499
- 729/728 and 5832/5831
It factors into the following superparticular pairs:
Temperaments
Tempering out this comma in the 17-limit results in the rank-6 horizmic temperament, or in the 2.7.13.17 subgroup, the rank-3 horizon temperament.
Etymology
The horizma was named by Jerdle in 2021.