Mirkwai comma: Difference between revisions

(10 intermediate revisions by 6 users not shown)

Line 1:

{{Infobox Interval

~~| Icon =~~

| Ratio = 16875/16807

~~| Monzo = 0 3 4 -5~~

~~| Cents = 6.99033~~

| Name = mirkwai comma

| Color name =

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

| ~~FJS name =~~

| Comma = yes

~~| Sound~~ =

}}

The '''mirkwai comma''' (~~'''~~16875/16807''') is a [[7-limit]] [[~~small~~ comma]] measuring about 6.~~99033 cents. It is tempered out in temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and~~ [[~~mirkat~~]].

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.

==~~Temperament~~==

== Temperaments ==

Tempering this comma out leads to the rank-3 [[mirkwai family]] of temperaments, in which the main rank-3 temperament is like [[canopus]] but with another dimension for twos.

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.

==~~See also~~==

== Etymology ==

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>.

*[~~[Mirkwai family]~~]~~, the rank-3 family where this comma is tempered out~~.

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>.

*[[Mirkwai ~~clan~~]]~~, a collection of rank-2 temperaments where it is tempered out.~~

*[[~~Small comma~~]]

== Notes ==

[[Category:Mirkwai]]

[[Category:Commas named by combining multiple temperament names]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 16875/16807
-| Monzo = 0 3 4 -5
-| Cents = 6.99033
 | Name = mirkwai comma
-| Color name =
+| Color name = r<sup>5</sup>y<sup>4</sup>-4, quinru-aquadyo negative 4th
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-The '''mirkwai comma''' ('''16875/16807''') is a [[7-limit]] [[small comma]] measuring about 6.99033 cents. It is tempered out in temperaments such as [[miracle]], [[octoid]], [[semisept]], [[grendel]], [[kwai]], [[pluto]], and [[mirkat]].
+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.
-==Temperament==
+== Temperaments ==
-Tempering this comma out leads to the rank-3 [[mirkwai family]] of temperaments, in which the main rank-3 temperament is like [[canopus]] but with another dimension for twos.
+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.
-==See also==
+== Etymology ==
+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>.
-*[[Mirkwai family]], the rank-3 family where this comma is tempered out.
+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>.
-*[[Mirkwai clan]], a collection of rank-2 temperaments where it is tempered out.
-*[[Small comma]]
+== Notes ==
+[[Category:Mirkwai]]
+[[Category:Commas named by combining multiple temperament names]]