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{{Infobox Interval
{{Infobox Interval
| Ratio = 625/616
| Name = Quadrikite comma
| Monzo = -3 0 4 -1 -1
| Color name = 1ury<sup>4</sup>-2, luruquadyo negative 2nd
| Cents = 25.1110066
| Comma = yes
| Name = Xeimtionic comma
}}
}}
The '''xeimtionic comma''' (pronounced ''zeem-tee-onic'') was discovered by [[User:Frostburn|Lumi Pakkanen]] and Praveen Venkataramana when prompted to create a temperament that produces a [[6L 5s]] MOS pattern so that the pattern could be named ''xeimtonic''.
The '''quadrikite comma''' ([[ratio]]: 625/616, [[monzo]]: {{monzo| -3 0 4 -1 -1 }}) is a [[small comma|small]] [[11-limit]] (also 2.5.7.11 [[subgroup]]) [[comma]].  


It defines the [[No-threes_subgroup_temperaments#Xeimtionic|xeimtionic]] temperament. When paired with the '''frostma''' 245/242 it produces the desired 6L 5s MOS pattern.
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 was not used for [[TAMNAMS]] after all to remain temperament agnostic.


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]]).
== Temperaments ==
Tempering out this comma in the 2.5.7.11 subgroup leads to the rank-3 [[pakkanen]] temperament.
== See also ==
* [[Small comma]]
[[Category:Quadrikite]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 13:12, 3 November 2024

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
Color name 1ury4-2, luruquadyo negative 2nd
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
Comma size small
Open this interval in xen-calc

The quadrikite comma (ratio: 625/616, monzo: [-3 0 4 -1 -1) is a small 11-limit (also 2.5.7.11 subgroup) 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 was not 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).

Temperaments

Tempering out this comma in the 2.5.7.11 subgroup leads to the rank-3 pakkanen temperament.

See also