Canopic comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 16875/16807
| Ratio = 16875/16807
| Name = mirkwai comma
| Name = canopus comma, mirkwai comma
| Color name = r<sup>5</sup>y<sup>4</sup>-4, quinru-aquadyo negative 4th
| Color name = r<sup>5</sup>y<sup>4</sup>-4, quinru-aquadyo negative 4th
| Comma = yes
| Comma = yes
}}
}}
The '''mirkwai comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), also known as ''small BP diesis'', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 6.99 [[cent]]s.  
The '''canopus comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), also known as the ''mirkwai comma'' or ''small BP diesis'', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 6.99 [[cent]]s.  


== Temperaments ==
== Temperaments ==
Tempering this comma out alone in the 7-limit leads to the rank-3 [[mirkwai family]] of temperaments, in which the main rank-3 temperament [[mirkwai]] is like [[canopus]] but with another dimension for twos. It is tempered out in rank-2 temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]]. See [[mirkwai clan]] for a collection of rank-2 temperaments where it is tempered out.  
Tempering this comma out alone in the 7-limit leads to the rank-3 [[canopic]] temperament and the [[canopus family]]. It is tempered out in rank-2 temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]], which comprise the [[canopus clan]] for a collection of rank-2 temperaments where it is tempered out.  


== Etymology ==
== Etymology ==
''Canopus'' is named after the 3.5.7 temperament [[canopus]], following a convention of naming tritave-based regular temperaments after stars.
The name ''mirkwai'' was given by [[Gene Ward Smith]] in 2005 as a contraction of ''[[miracle]]'' and ''[[kwai]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>.  
The name ''mirkwai'' was given by [[Gene Ward Smith]] in 2005 as a contraction of ''[[miracle]]'' and ''[[kwai]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>.