Alphatricot comma: Difference between revisions

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The '''tricot comma''', with [[monzo]] {{monzo| 39 -29 3 }}, is a [[5-limit]] [[unnoticeable 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 ==
== Temperament ==
Tempering out this comma leads to the [[tricot family]] of temperaments.  
Tempering out this comma leads to the [[tricot family]] of temperaments.  
== 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>.


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
== Notes ==


[[Category:Tricot]]
[[Category:Tricot]]

Revision as of 16:28, 11 August 2024

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

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.

Temperament

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

Etymology

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

See also

Notes