Alphatricot comma: Difference between revisions

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+naming history (reference thread 5041, 5113)
m FloraC moved page Tricot comma to Alphatricot comma: Follow the specifications of ploidacot
 
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{{Infobox Interval
{{Infobox Interval
| Monzo = 39 -29 3
| Monzo = 39 -29 3
| Name = tricot comma
| Name = alphatricot comma
| Color name = s<sup>4</sup>y<sup>3</sup>3, quadsa-triyo 3rd
| Color name = s<sup>4</sup>y<sup>3</sup>3, quadsa-triyo 3rd
| Comma = yes
| Comma = yes
}}
}}
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 '''alphatricot 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 [[alphatricot family]] of temperaments.  


== Etymology ==
== 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 as ''tricot''<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>, but renamed in 2025 following the specifications of [[ploidacot]].  


== See also ==
== See also ==
Line 18: Line 18:
== Notes ==
== Notes ==


[[Category:Tricot]]
[[Category:Alphatricot]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 13:29, 16 March 2025

Interval information
Factorization 239 × 3-29 × 53
Monzo [39 -29 3
Size in cents 2.246116¢
Name alphatricot 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 alphatricot 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 alphatricot family of temperaments.

Etymology

This comma was named by Paul Erlich in 2002 as tricot[1][2], but renamed in 2025 following the specifications of ploidacot.

See also

Notes