Alphatricot family: Difference between revisions

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The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: ~~septimal tricot~~ (53 & 70~~, also called as "trimot"~~), trident (53 & ~~229~~) and trillium (53 & 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to ~~septimal tricot~~, [[6144/6125|porwell comma]] (6144/6125) leads to trident, and [[4375/4374|ragisma]] (4375/4374) leads to trillium.

The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53 & 70), trident (53 & 282) and trillium (53 & 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to trimot, [[6144/6125|porwell comma]] (6144/6125) leads to trident, and [[4375/4374|ragisma]] (4375/4374) leads to trillium.

== Tricot ==

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[[Badness]]: 0.046093

== ~~Septimal tricot aka trimot~~ ==

== Trimot ==

Trimot, named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, can be described as the 53 & 70 temperament.

[[Subgroup]]: 2.3.5.7

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== Trident ==

Trident, named by [[Xenllium]] in 2021, can be described as the 53 & 282 temperament.

[[Subgroup]]: 2.3.5.7

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== Trillium ==

Trillium, also named by [[Xenllium]] in 2021, can be described as the 53 & 441 temperament.

[[Subgroup]]: 2.3.5.7

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Badness: 0.0168

== Notes ==

[[Category:Temperament families]]

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-The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: septimal tricot (53 &amp; 70, also called as "trimot"), trident (53 &amp; 229) and trillium (53 &amp; 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to septimal tricot, [[6144/6125|porwell comma]] (6144/6125) leads to trident, and [[4375/4374|ragisma]] (4375/4374) leads to trillium.
+The generator for '''tricot temperament''' is the real cube root of third harmonic, 3<sup>1/3</sup>, tuned between 63/44 and 13/9. Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit. There are some mappings for 7-limit extension of this temperament: trimot (53 &amp; 70), trident (53 &amp; 282) and trillium (53 &amp; 441). Tempering out [[5120/5103|hemifamity comma]] (5120/5103) leads to trimot, [[6144/6125|porwell comma]] (6144/6125) leads to trident, and [[4375/4374|ragisma]] (4375/4374) leads to trillium.
 == Tricot ==
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 [[Badness]]: 0.046093
-== Septimal tricot aka trimot ==
+== Trimot ==
+Trimot, named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, can be described as the 53 & 70 temperament.
 [[Subgroup]]: 2.3.5.7
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 == Trident ==
+Trident, named by [[Xenllium]] in 2021, can be described as the 53 & 282 temperament.
 [[Subgroup]]: 2.3.5.7
@@ Line 101: / Line 105: @@
 == Trillium ==
+Trillium, also named by [[Xenllium]] in 2021, can be described as the 53 & 441 temperament.
 [[Subgroup]]: 2.3.5.7
@@ Line 302: / Line 308: @@
 Badness: 0.0168
+== Notes ==
 [[Category:Temperament families]]