1275/1274: Difference between revisions
+commatic relation, +new way to pump the comma, replacing the old which was basically (50/49)/(52/51) |
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'''1275/1274''', the '''cimbrisma''', is | '''1275/1274''', the '''cimbrisma''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] [[superparticular ratio|superparticular]] [[comma]]. It is the amount by which a stack consisting of [[17/13]] and two instances of [[15/14]] exceeds the [[3/2|perfect fifth (3/2)]]. | ||
== Commatic relations == | |||
This comma is the difference between the following superparticular pairs: | |||
* [[50/49]] and [[52/51]] | |||
* [[85/84]] and [[91/90]] | |||
* [[225/224]] and [[273/272]] | |||
* [[442/441]] and [[676/675]] | |||
* [[540/539]] and [[936/935]] | |||
* [[561/560]] and [[1001/1000]] | |||
* [[625/624]] and [[1225/1224]] | |||
* [[729/728]] and [[1701/1700]] | |||
* [[833/832]] and [[2401/2400]] | |||
* [[1156/1155]] and [[12376/12375]] | |||
* 1225/1224 and [[31213/31212]] | |||
It factors into the following superparticular pairs: | |||
* [[2500/2499]] and [[2601/2600]] | |||
== Temperaments == | |||
By tempering it out is defined the '''cimbrismic temperament''', which enables the [[cimbrismic chords]]. | |||
== Etymology == | == Etymology == | ||
The name ''cimbrisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to [[Wikipedia:1275 Cimbria|1275 Cimbria]], the asteroid | The name ''cimbrisma'' was named by [[User:Xenllium|Xenllium]] in 2023. It refers to [[Wikipedia:1275 Cimbria|1275 Cimbria]], the asteroid, which in turn was named after an ancient Germanic tribe. | ||
== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Cimbrismic]] | [[Category:Cimbrismic]] | ||
[[Category:Commas named after asteroids]] | [[Category:Commas named after asteroids]] |