625/616: Difference between revisions

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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 ''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 was originally intended to be paired with the '''frostma''' [[245/242]] to produce the [[No-threes subgroup temperaments #Pakkanen|pakkanen]] temperament as this was to be called ''xeimtionic'' (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'', but the name wasn't used for [[TAMNAMS]] after all to remain temperament agnostic.
It was discovered by [[User:Frostburn|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 was originally intended to be paired with the '''frostma''' [[245/242]] to produce the [[No-threes subgroup temperaments #Frostburn|frostburn]] temperament as this was to be called ''xeimtionic'' (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'', but the name wasn't used for [[TAMNAMS]] after all to remain temperament agnostic.


[[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]]
[[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]]

Revision as of 12:36, 14 August 2022

Interval information
Ratio 625/616
Factorization 2-3 × 54 × 7-1 × 11-1
Monzo [-3 0 4 -1 -1
Size in cents 25.11101¢
Name Quadrikite comma
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5,5}_{7,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.5545
Weil norm (log2 max(n, d)) 18.5754
Wilson norm (sopfr(nd)) 44
Open this interval in xen-calc

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 was originally intended to be paired with the frostma 245/242 to produce the frostburn temperament as this was to be called xeimtionic (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, but the name wasn't used for TAMNAMS after all to remain temperament agnostic.

AI generated image of xenharmonic music theory.

It can be factored into (100/99)(225/224).

See also