Canopic clan - Revision history

FloraC: Restore the category of the corresponding temp

2026-10-20T18:05:40Z

Restore the category of the corresponding temp

← Older revision		Revision as of 18:05, 20 October 2026
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	[[Category:Canopic clan\| ]] <!-- main article -->		[[Category:Canopic clan\| ]] <!-- main article -->
			[[Category:Canopic\| ]] <!-- key article -->
	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Catalogs of rank-2 temperaments]]		[[Category:Catalogs of rank-2 temperaments]]

FloraC: - browser (addressed in sensipent family)

2026-10-11T09:07:42Z

- browser (addressed in sensipent family)

@@ Line 44: / Line 44: @@
 * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]]
 * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]]
 * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]]
 For ''no-2's'' extensions, see [[No-twos subgroup temperaments #Canopus]].
-Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]].
+Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, and grazer, in the order of increasing [[badness]].
 == Mirkat ==
@@ Line 504: / Line 505: @@
 Badness (Sintel): 0.948
 == Grazer ==

FloraC: Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

2026-09-30T17:38:54Z

Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

← Older revision		Revision as of 17:38, 30 September 2026
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	[[Comma list]]: 16875/16807		[[Comma list]]: 16875/16807

	{{Mapping\|legend=2\| 1 -2 -1 \| 0 5 4 }}		{{Mapping\|legend=3\| 1 -2 -1 \| 0 5 4 }}
	: mapping generators: ~3, ~15/7		: mapping generators: ~3, ~15/7

FloraC: Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

2026-09-24T12:33:50Z

Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

Show changes

FloraC: /* Canopus */ update

2026-09-15T09:14:03Z

Canopus: update

FloraC: Recategorize

2026-08-15T07:33:49Z

Recategorize

← Older revision		Revision as of 07:33, 15 August 2026
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	Badness (Sintel): 1.37		Badness (Sintel): 1.37

			[[Category:Canopic clan\| ]] <!-- main article -->
	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:~~Mirkwai clan\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-2 temperaments]]
	~~[[Category:Rank~~ 2]]

FloraC: FloraC moved page Canopus clan to Canopic clan

2026-06-06T10:18:29Z

FloraC moved page Canopus clan to Canopic clan

← Older revision	Revision as of 10:18, 6 June 2026
(No difference)

FloraC: The standard name is from the rank-3 temp

2026-06-06T10:16:47Z

The standard name is from the rank-3 temp

← Older revision		Revision as of 10:16, 6 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''~~canopus~~ clan''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the ~~'''canopus''' or '''~~[[~~mirkwai~~ comma]]~~'''~~ ({{monzo\|legend=1\| 0 3 4 -5 }}, [[ratio]]: 16875/16807), a no-twos comma.		The '''canopic clan''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[canopic comma]] ({{monzo\|legend=1\| 0 3 4 -5 }}, [[ratio]]: 16875/16807), a no-twos comma.

	== Canopus ==		== Canopus ==

Lériendil: Lériendil moved page Mirkwai clan to Canopus clan

2026-06-05T16:39:58Z

Lériendil moved page Mirkwai clan to Canopus clan

← Older revision	Revision as of 16:39, 5 June 2026
(No difference)

Lériendil at 16:39, 5 June 2026

2026-06-05T16:39:28Z

← Older revision		Revision as of 16:39, 5 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''~~mirkwai~~ clan''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[mirkwai comma]] ({{monzo\|legend=1\| 0 3 4 -5 }}, [[ratio]]: 16875/16807), a no-twos comma.		The '''canopus clan''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the '''canopus''' or '''[[mirkwai comma]]''' ({{monzo\|legend=1\| 0 3 4 -5 }}, [[ratio]]: 16875/16807), a no-twos comma.

	== Canopus ==		== Canopus ==

← Older revision		Revision as of 09:14, 15 September 2026
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	=== Overview to extensions ===		=== Overview to extensions ===
	The full 7-limit extensions' relation to canopus is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are nusecond and octoid. These temperaments are distributed into different temperament collection pages.		The full 7-limit extensions' relation to canopus is clearer if the mapping is normalized in terms of 3.5.7.2. In fact, the strong extensions are nusecond and octoid. These temperaments are distributed into different temperament clan and collection pages.
	* ''[[Nusecond]]'' (+126/125) → [[Starling temperaments #Nusecond\|Starling temperaments]]		* ''[[Nusecond]]'' (+126/125) → [[Starling temperaments #Nusecond\|Starling temperaments]]
	* ''[[Octoid]]'' (+4375/4374) → [[~~Ragismic microtemperaments~~ #Octoid\|~~Ragismic microtemperaments~~]]		* [[Octoid]] (+4375/4374) → [[Stearnsmic clan #Octoid\|Stearnsmic clan]]

	The others are weak extensions. Mirkat tempers out [[19683/19600]], splitting the generator in two with a semitwelfth period. Sqrtphi tempers out [[15625/15552]], splitting the period in six. Semisept tempers out [[1728/1715]] and [[3136/3125]], splitting the generator in six. Miracle tempers out [[225/224]]. Pluto tempers out [[4000/3969]]. These split the generator in five. Kwai tempers out [[5120/5103]], splitting the generator in ten. Quanharuk tempers out [[32805/32768]], splitting the generator in three with a 1/5-twelfth period. Grendel tempers out [[6144/6125]], splitting the generator in eleven. Finally, eris tempers out [[65625/65536]], splitting the generator in sixteen.		The others are weak extensions. Mirkat tempers out [[19683/19600]], splitting the generator in two with a semitwelfth period. Sqrtphi tempers out [[15625/15552]], splitting the period in six. Semisept tempers out [[1728/1715]] and [[3136/3125]], splitting the generator in six. Miracle tempers out [[225/224]]. Pluto tempers out [[4000/3969]]. These split the generator in five. Kwai tempers out [[5120/5103]], splitting the generator in ten. Quanharuk tempers out [[32805/32768]], splitting the generator in three with a 1/5-twelfth period. Grendel tempers out [[6144/6125]], splitting the generator in eleven. Finally, eris tempers out [[65625/65536]], splitting the generator in sixteen.

	Members of the clan discussed elsewhere are:		Members of the clan discussed elsewhere are:
	* ''[[Kwai]]'' (+5120/5103) → [[~~Hemifamity~~ temperaments #Kwai\|~~Hemifamity~~ temperaments]]		* ''[[Kwai]]'' (+5120/5103) → [[Aberschismic temperaments #Kwai\|Aberschismic temperaments]]
	* ''[[Octokaidecal]]'' (+28/27 or 50/49) → [[Trienstonic clan #Octokaidecal\|Trienstonic clan]]		* ''[[Octokaidecal]]'' (+28/27 or 50/49) → [[Trienstonic clan #Octokaidecal\|Trienstonic clan]]
	* ''[[Meantritone]]'' (+81/80) → [[Meantone family #Meantritone\|Meantone family]]		* ''[[Meantritone]]'' (+81/80) → [[Meantone family #Meantritone\|Meantone family]]
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	* ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart\|Quartonic family]]		* ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart\|Quartonic family]]

	For ''no-~~twos~~'' extensions, see [[No-twos subgroup temperaments #Canopus]].		For ''no-2's'' extensions, see [[No-twos subgroup temperaments #Canopus]].

	Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]].		Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]].

	== Mirkat ==		== Mirkat ==