Alphatricot comma: Difference between revisions

Interval information
Factorization	239 × 3-29 × 53
Monzo	[39 -29 3⟩
Size in cents	2.246116¢
Name	tricot comma
Color name	s4y33, quadsa-triyo 3rd
FJS name	[math]\displaystyle{ \text{dd3}^{5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	91.9297
Weil norm (log2 max(n, d))	91.9316
Wilson norm (sopfr(nd))	180
Comma size	unnoticeable
	Open this interval in xen-calc

Revision as of 16:29, 11 August 2024

The tricot comma, with monzo [39 -29 3⟩, is an unnoticeable 5-limit comma measuring about 2.2 cents. It is the difference between a stack of three schismas and the 53-comma, making it part of the Schismic-Mercator equivalence continuum. In addition, it is the difference between a stack of three 10/9 intervals and a stack of twenty-three 3/2 perfect fifths octave-reduced.

Tempering out this comma leads to the tricot family of temperaments.

This comma was named by Paul Erlich in 2002^[1]^[2].

@@ Line 11: / Line 11: @@
 == Etymology ==
-This comma was named by [[Paul Erlich]] in 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5041.html 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>.
+This comma 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 also ==