Alphatricot: Difference between revisions
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This article should focus on the 5-limit microtemp |
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'''Tricot''' is a [[microtemperament]] generated by the real cube root of the 3rd harmonic, 3<sup>1/3</sup>, tuned between [[63/44]] and [[13/9]]. It can be described as 53 & 70, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }}. | '''Tricot''' is a [[microtemperament]] generated by the real cube root of the 3rd harmonic, 3<sup>1/3</sup>, tuned between [[63/44]] and [[13/9]]. It can be described as 53 & 70, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }}. | ||
This article assumes the 5-limit mapping. There are several mappings for 7-limit extension of this temperament including [[ | This article assumes the 5-limit mapping. There are several mappings for 7-limit extension of this temperament including [[trimot]] (53 & 70), [[trident]] (53 & 229) and [[trillium]] (53 & 441). | ||
This temperament was named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5041.html Yahoo! Tuning Group | ''Paul's new names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group | ''Ultimate 5-limit comma list'']</ref>. | |||
See [[Tricot family #Tricot]] for more information. | See [[Tricot family #Tricot]] for more information. | ||
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* [[Tricot19]] - improper [[17L 2s]] | * [[Tricot19]] - improper [[17L 2s]] | ||
* [[Tricot36]] - improper [[17L 19s]] | * [[Tricot36]] - improper [[17L 19s]] | ||
== Notes == | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Tricot| ]] <!-- main article --> | [[Category:Tricot| ]] <!-- main article --> | ||
[[Category:Tricot family]] | [[Category:Tricot family]] | ||
Revision as of 16:33, 11 August 2024
Tricot is a microtemperament generated by the real cube root of the 3rd harmonic, 31/3, tuned between 63/44 and 13/9. It can be described as 53 & 70, tempering out the tricot comma, [39 -29 3⟩.
This article assumes the 5-limit mapping. There are several mappings for 7-limit extension of this temperament including trimot (53 & 70), trident (53 & 229) and trillium (53 & 441).
This temperament was named by Paul Erlich in 2002[1][2].
See Tricot family #Tricot for more information.