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: trimot (53 & 70), trident (53 & 229) 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''' is a [[microtemperament]], whose generator 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 & 229) 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 ==

Tricot temperament can be described as 53&70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit.

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>.

[[Subgroup]]: 2.3.5

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[[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents

=== Scales ===

* [[Tricot17]] – proper [[2L 15s]]

* [[Tricot19]] – improper [[17L 2s]]

* [[Tricot36]] – improper [[17L 19s]]

=== Notes ===

== Trimot ==

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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: trimot (53 &amp; 70), trident (53 &amp; 229) 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''' is a [[microtemperament]], whose generator 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; 229) 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 ==
+Tricot temperament can be described as 53&amp;70 temperament, tempering out the [[tricot comma]], {{monzo| 39 -29 3 }} in the 5-limit.
+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>.
 [[Subgroup]]: 2.3.5
@@ Line 36: / Line 42: @@
 [[Tp tuning #T2 tuning|RMS error]]: 0.2342 cents
+=== Scales ===
+* [[Tricot17]] – proper [[2L 15s]]
+* [[Tricot19]] – improper [[17L 2s]]
+* [[Tricot36]] – improper [[17L 19s]]
+=== Notes ===
 == Trimot ==