1275/1274: Difference between revisions

BudjarnLambeth (talk | contribs)
+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 a [[17-limit]] [[Superparticular ratio|superparticular comma]]. It is the amount by which a stack consisting of two [[7/5]]s and one [[52/51]] falls short of an [[octave]]. By tempering it out is defined the '''cimbrismic temperament''', which enables the [[cimbrismic chords]].
'''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. Which in turn was named after an ancient Germanic tribe.
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 ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]


[[Category:Cimbrismic]]
[[Category:Cimbrismic]]
[[Category:Commas named after asteroids]]
[[Category:Commas named after asteroids]]