625/616: Difference between revisions
Cleanup |
+factorization; +see also |
||
| Line 7: | Line 7: | ||
The '''quadrikite comma''' ([[ratio]]: 625/616, [[monzo]]: {{monzo| -3 0 4 -1 -1 }}) is a [[small comma|small]] [[11-limit]] [[comma]]. | The '''quadrikite comma''' ([[ratio]]: 625/616, [[monzo]]: {{monzo| -3 0 4 -1 -1 }}) is a [[small comma|small]] [[11-limit]] [[comma]]. | ||
It was discovered by [[User:Frostburn|Lumi Pakkanen]] and [[Praveen Venkataramana]] when prompted to create a temperament that could be called [[No-threes subgroup temperaments #Xeimtionic|xeimtionic]] that produces a [[6L 5s]] mos pattern so that the pattern could be named ''xeimtonic''. The name ''quadrikite'' comes from the fact that a gap of four strings on the Kite guitar can be both 625/256 and 77/32 when this comma is tempered out. It needs to be paired with the '''frostma''' 245/242 to produce the [[No-threes subgroup temperaments #Xeimtionic|xeimtionic]] temperament (pronounced ''zeem-tee-onic'') for the desired 6L 5s mos pattern. All of this was inspired by an AI generated picture of ''xenharmonic music theory'' featuring something that looks like the word ''XEIMTIONC''. | It was discovered by [[User:Frostburn|Lumi Pakkanen]] and [[Praveen Venkataramana]] when prompted to create a temperament that could be called [[No-threes subgroup temperaments #Xeimtionic|xeimtionic]] that produces a [[6L 5s]] mos pattern so that the pattern could be named ''xeimtonic''. The name ''quadrikite'' comes from the fact that a gap of four strings on the Kite guitar can be both 625/256 and 77/32 when this comma is tempered out. It needs to be paired with the '''frostma''' [[245/242]] to produce the [[No-threes subgroup temperaments #Xeimtionic|xeimtionic]] temperament (pronounced ''zeem-tee-onic'') for the desired 6L 5s mos pattern. All of this was inspired by an AI generated picture of ''xenharmonic music theory'' featuring something that looks like the word ''XEIMTIONC''. | ||
[[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]] | [[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]] | ||
It can be factored into ([[100/99]])([[225/224]]). | |||
== See also == | |||
* [[Small comma]] | |||
[[Category:Small commas]] | [[Category:Small commas]] | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Quadrikite]] | |||
Revision as of 13:33, 13 August 2022
| Interval information |
The quadrikite comma (ratio: 625/616, monzo: [-3 0 4 -1 -1⟩) is a small 11-limit comma.
It was discovered by Lumi Pakkanen and Praveen Venkataramana when prompted to create a temperament that could be called xeimtionic that produces a 6L 5s mos pattern so that the pattern could be named xeimtonic. The name quadrikite comes from the fact that a gap of four strings on the Kite guitar can be both 625/256 and 77/32 when this comma is tempered out. It needs to be paired with the frostma 245/242 to produce the xeimtionic temperament (pronounced zeem-tee-onic) for the desired 6L 5s mos pattern. All of this was inspired by an AI generated picture of xenharmonic music theory featuring something that looks like the word XEIMTIONC.
It can be factored into (100/99)(225/224).