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 06:12, 9 December 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].

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-The '''tricot comma''', with [[monzo]] {{monzo| 39 -29 3 }}, is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 2.2 [[cent]]s. It is the difference between a stack of three [[schisma]]s 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.
+The '''tricot comma''', with [[monzo]] {{monzo| 39 -29 3 }}, is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 2.2 [[cent]]s. It is the difference between a stack of three [[schisma]]s 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.
 == Temperament ==