Canopic comma: Difference between revisions

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{{Infobox Interval

| Ratio = 16875/16807

| Name = ~~mirkwai~~ comma

| Name = canopic comma, canopus comma

| Color name = r<sup>5</sup>y<sup>4</sup>-4, quinru-aquadyo negative 4th

| Comma = yes

}}

The '''~~mirkwai~~ comma''' ('''16875/16807''') is a [[7-limit]] [[~~small~~ comma]] measuring about 6.99 [[cent]]s.

The '''canopic comma''' or '''canopus comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), formerly ''mirkwai comma'', is a [[small comma|small]] [[7-limit]] (specifically [[3.5.7 subgroup|3.5.7-subgroup]]) [[comma]] measuring about 6.99 [[cent]]s. It is also known as ''small BP diesis'' in [[Bohlen–Pierce]] practice.

== 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. Also known as BP's "small diesis a" (Bohlen, [https://www.huygens-fokker.org/bpsite/names.html www.huygens-fokker.org/bpsite/names.html])~~.

[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[canopic]] temperament. It is tempered out in rank-2 temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]], which comprise the rank-2 canopic clan.

== See ~~also ==~~

See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out.

* [[~~Small comma~~]]

[[Category:~~Mirkwai~~]]

== Etymology ==

''Canopic'' and ''canopus'' are named after the 3.5.7-subgroup 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>. Not widely accepted, it is effectively deprecated by 2026.

The name ''small BP diesis'' was given in <ref>[https://www.huygens-fokker.org/bpsite/names.html The Bohlen-Pierce Site | ''BP Names and Definitions'']</ref>.

== References ==

[[Category:Canopic]]

[[Category:Commas named for other reasons]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 16875/16807
-| Name = mirkwai comma
+| Name = canopic comma, canopus comma
 | Color name = r<sup>5</sup>y<sup>4</sup>-4, quinru-aquadyo negative 4th
 | Comma = yes
 }}
-The '''mirkwai comma''' ('''16875/16807''') is a [[7-limit]] [[small comma]] measuring about 6.99 [[cent]]s.
+The '''canopic comma''' or '''canopus comma''' ([[ratio]]: 16875/16807, {{monzo|legend=1| 0 3 4 -5 }}), formerly ''mirkwai comma'', is a [[small comma|small]] [[7-limit]] (specifically [[3.5.7 subgroup|3.5.7-subgroup]]) [[comma]] measuring about 6.99 [[cent]]s. It is also known as ''small BP diesis'' in [[Bohlen–Pierce]] practice.
 == 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. Also known as BP's "small diesis a" (Bohlen, [https://www.huygens-fokker.org/bpsite/names.html www.huygens-fokker.org/bpsite/names.html]).
+[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[canopic]] temperament. It is tempered out in rank-2 temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]], which comprise the rank-2 canopic clan.
-== See also ==
+See [[Canopic clan]] for a collection of rank-2 temperaments where it is tempered out.
-* [[Small comma]]
-[[Category:Mirkwai]]
+== Etymology ==
+''Canopic'' and ''canopus'' are named after the 3.5.7-subgroup 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>. Not widely accepted, it is effectively deprecated by 2026.
+The name ''small BP diesis'' was given in <ref>[https://www.huygens-fokker.org/bpsite/names.html The Bohlen-Pierce Site | ''BP Names and Definitions'']</ref>.
+== References ==
+[[Category:Canopic]]
+[[Category:Commas named for other reasons]]