1540/1539: Difference between revisions
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Created page with "{{Infobox Interval | Name = kevolisma | Color name = 19u1ozy1, <br>nulozoyo 1sn, <br>Nulozoyo comma | Comma = yes }} '''1540/1539''', the '''kevolisma''', is a 19-limit ..." |
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'''1540/1539''', the '''kevolisma''', is | '''1540/1539''', the '''kevolisma''', is an [[unnoticeable comma|unnoticeable]] [[19-limit]] (specifically 2.3.5.7.11.19-[[subgroup]]) [[superparticular]] [[comma]] of about 1.12 [[cent]]s. It is the amount by which [[140/81]], a stack consisting of [[10/9]] and [[14/9]], exceeds [[19/11]]. It is also the amount by which a stack consisting of [[10/9]] and [[11/9]] exceeds [[19/14]], and by which a stack consisting of [[14/9]] and [[11/9]] exceeds [[19/10]]. | ||
== Commatic relations == | |||
This comma is the difference between the following superparticular pairs: | |||
* [[55/54]] and [[57/56]] * | |||
* [[77/76]] and [[81/80]] * | |||
* [[154/153]] and [[171/170]] | |||
* [[210/209]] and [[243/242]] * | |||
* [[286/285]] and [[351/350]] | |||
* [[343/342]] and [[441/440]] * | |||
* [[352/351]] and [[456/455]] | |||
* [[385/384]] and [[513/512]] * | |||
* [[400/399]] and [[540/539]] * | |||
* [[495/494]] and [[729/728]] | |||
* [[595/594]] and [[969/968]] | |||
* [[1216/1215]] and [[5776/5775]] * | |||
* [[1225/1224]] and [[5985/5984]] | |||
* [[1331/1330]] and [[9801/9800]] * | |||
* [[1445/1444]] and [[23409/23408]] | |||
* [[1521/1520]] and [[123201/123200]] | |||
Or as a relation in the four formal commas defined by [[Functional Just System]] and [[Helmholtz–Ellis notation]]: | |||
* ([[33/32]]) / ((81/80)([[64/63]])(513/512)). | |||
It factors into the following superparticular pairs: | |||
* [[3025/3024]] and [[3136/3135]] * | |||
* [[2926/2925]] and [[3250/3249]] | |||
* [[2431/2430]] and [[4200/4199]] | |||
* [[2376/2375]] and [[4375/4374]] * | |||
* [[2080/2079]] and [[5929/5928]] | |||
* [[1729/1728]] and [[14080/14079]] | |||
<nowiki/>* relation within the 2.3.5.7.11.19 subgroup | |||
== Temperaments == | |||
By tempering it out is defined the '''kevolismic temperament''', which enables the [[kevolismic chords]]. | |||
== Etymology == | == Etymology == | ||
The name ''kevolisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to | The name ''kevolisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to {{w|1540 Kevola}}, the asteroid, which in turn was named after an observatory in Finland. | ||
== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Kevolismic]] | [[Category:Kevolismic]] | ||
[[Category:Commas named after asteroids]] | |||
[[Category:Commas named after place names]] | |||
Latest revision as of 07:03, 5 December 2024
| Interval information |
nulozoyo 1sn,
Nulozoyo comma
reduced
1540/1539, the kevolisma, is an unnoticeable 19-limit (specifically 2.3.5.7.11.19-subgroup) superparticular comma of about 1.12 cents. It is the amount by which 140/81, a stack consisting of 10/9 and 14/9, exceeds 19/11. It is also the amount by which a stack consisting of 10/9 and 11/9 exceeds 19/14, and by which a stack consisting of 14/9 and 11/9 exceeds 19/10.
Commatic relations
This comma is the difference between the following superparticular pairs:
- 55/54 and 57/56 *
- 77/76 and 81/80 *
- 154/153 and 171/170
- 210/209 and 243/242 *
- 286/285 and 351/350
- 343/342 and 441/440 *
- 352/351 and 456/455
- 385/384 and 513/512 *
- 400/399 and 540/539 *
- 495/494 and 729/728
- 595/594 and 969/968
- 1216/1215 and 5776/5775 *
- 1225/1224 and 5985/5984
- 1331/1330 and 9801/9800 *
- 1445/1444 and 23409/23408
- 1521/1520 and 123201/123200
Or as a relation in the four formal commas defined by Functional Just System and Helmholtz–Ellis notation:
It factors into the following superparticular pairs:
- 3025/3024 and 3136/3135 *
- 2926/2925 and 3250/3249
- 2431/2430 and 4200/4199
- 2376/2375 and 4375/4374 *
- 2080/2079 and 5929/5928
- 1729/1728 and 14080/14079
* relation within the 2.3.5.7.11.19 subgroup
Temperaments
By tempering it out is defined the kevolismic temperament, which enables the kevolismic chords.
Etymology
The name kevolisma was named by Xenllium in 2023. It refers to 1540 Kevola, the asteroid, which in turn was named after an observatory in Finland.