Canopic clan - Revision history

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 ==

FloraC: Complete source of names

2026-05-01T11:50:50Z

Complete source of names

← Older revision		Revision as of 11:50, 1 May 2026
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	== Septendesemi ==		== Septendesemi ==
	~~The name ''septendesemi'' means a septendecimal semitone ([[17/16]]). The septendesemi temperament (80 & 103)~~ tempers out the mirkwai comma and 1959552/1953125 (parkleiness comma) in the 7-limit. [[183edo]] provides an excellent tuning for 7-, 11-, 13-, and 17-limit septendesemi.		Septendesemi tempers out the mirkwai comma and 1959552/1953125 (parkleiness comma) in the 7-limit, and may be described as the {{nowrap\| 80 & 103 }} temperament. [[183edo]] provides an excellent tuning for 7-, 11-, 13-, and 17-limit septendesemi. Septendesemi was named by [[Xenllium]] in 2021; the name ''septendesemi'' refers to a septendecimal semitone ([[17/16]]).

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	{{Main\| Gaster temperament }}		{{Main\| Gaster temperament }}

	~~The gaster temperament (111 & 113)~~ tempers out {{monzo\| -70 72 -19 }} ~~(quadbila-negu)~~ in the 5-limit; mirkwai comma (16875/16807) and [[scheme comma]] (14348907/14336000) in the 7-limit. ~~The~~ word "[[Wiktionary: gaster\|gaster]]" means [[Wiktionary: abdomen\|abdomen]] or [[Wiktionary: stomach\|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is sufficient to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo\|111]], [[113edo\|113]] and [[224edo\|224]] support it even in the 41-limit.		Gaster tempers out {{monzo\| -70 72 -19 }} in the 5-limit, mirkwai comma (16875/16807) and [[scheme comma]] (14348907/14336000) in the 7-limit, and may be described as the {{nowrap\| 111 & 113 }} temperament.

			It was named by [[Xenllium]] in 2022; the word "[[Wiktionary: gaster\|gaster]]" means [[Wiktionary: abdomen\|abdomen]] or [[Wiktionary: stomach\|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is sufficient to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo\|111]], [[113edo\|113]] and [[224edo\|224]] support it even in the 41-limit.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Hemiseptisix ==		== Hemiseptisix ==
	~~The name ''hemiseptisix'' means a half of septimal major sixth ([[12/7]]). The hemiseptisix temperament (103 & 121)~~ tempers out the mirkwai comma and 95703125/95551488 (pontiqak comma) in the 7-limit. [[224edo]] provides an excellent tuning for 7-, 11-, and 13-limit hemiseptisix.		Hemiseptisix tempers out the mirkwai comma and 95703125/95551488 (pontiqak comma) in the 7-limit, and may be described as the {{nowrap\| 103 & 121 }} temperament. [[224edo]] provides an excellent tuning for 7-, 11-, and 13-limit hemiseptisix. Hemiseptisix was named by [[Xenllium]] in 2021; the name ''hemiseptisix'' refers to a half of septimal major sixth ([[12/7]]).

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	{{See also\| Sensipent family }}		{{See also\| Sensipent family }}

	This can also be considered a [[non-over-1 temperament]], with considerable scope for harmony in the 2.5/3.7/3.11/3.13/3.17/3 subgroup with mos scales of 8, 15, 23, and 31 notes despite no harmonics from the root. It can be considered a detemperament of 8d-et, with a generator very slightly flat of 7\8.		Named by [[Xenllium]] in 2022, browser may be described as the {{nowrap\| 103 & 111 }} temperament.

			This can also be considered a [[non-over-1 temperament]], with considerable scope for harmony in the 2.5/3.7/3.11/3.13/3.17/3 subgroup with mos scales of 8, 15, 23, and 31 notes despite no harmonics from the root. It can be considered a detemperament of 8d-et, with a generator very slightly flat of 7\8.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Grazer ==		== Grazer ==
			Named by [[Xenllium]] in 2022, grazer may be described as the {{nowrap\| 113 & 121 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: - subsedia (addressed in buzzardsmic clan)

2026-05-01T11:01:47Z

- subsedia (addressed in buzzardsmic clan)

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 * ''[[Pluto]]'' (+4000/3969) → [[Octagar temperaments #Pluto|Octagar temperaments]]
 * ''[[Bohpier]]'' (+245/243) → [[Sensamagic clan #Bohpier|Sensamagic clan]]
 * ''[[Semisept]]'' (+1728/1715 or 3136/3125) → [[Hemimean clan #Semisept|Hemimean clan]]
 * ''[[Grendel]]'' (+6144/6125) → [[Porwell temperaments #Grendel|Porwell temperaments]]
@@ Line 47: / Line 48: @@
 For ''no-twos'' extensions, see [[No-twos subgroup temperaments #Canopus]].
-Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, subsedia, hemiseptisix, browser, and grazer.
+Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, hemiseptisix, browser, and grazer, in the order of increasing [[badness]].
 == Mirkat ==
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 Badness (Sintel): 1.57
 == Hemiseptisix ==

FloraC: Switch to Sintel's badness, WE & CWE tunings (2/2)

2026-05-01T10:50:25Z

Switch to Sintel's badness, WE & CWE tunings (2/2)

Show changes

FloraC: Switch to Sintel's badness, WE & CWE tunings (1/)

2026-05-01T07:36:47Z

Switch to Sintel's badness, WE & CWE tunings (1/)

Show changes

FloraC: - grendel (moved to porwell temps)

2026-04-19T10:51:26Z

- grendel (moved to porwell temps)

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 Members of the clan discussed elsewhere are:
 * ''[[Octokaidecal]]'' (+28/27 or 50/49) → [[Trienstonic clan #Octokaidecal|Trienstonic clan]]
 * ''[[Meantritone]]'' (+81/80) → [[Meantone family #Meantritone|Meantone family]]
 * [[Miracle]] (+225/224) → [[Gamelismic clan #Miracle|Gamelismic clan]]
 * ''[[Pluto]]'' (+4000/3969) → [[Octagar temperaments #Pluto|Octagar temperaments]]
 * ''[[Bohpier]]'' (+245/243) → [[Sensamagic clan #Bohpier|Sensamagic clan]]
 * ''[[Semisept]]'' (+1728/1715 or 3136/3125) → [[Hemimean clan #Semisept|Hemimean clan]]
 * ''[[Quinmage]]'' (+3125/3072) → [[Magic family #Quinmage|Magic family]]
 * [[Sqrtphi]] (+15625/15552) → [[Kleismic family #Sqrtphi|Kleismic family]]
 * ''[[Rainwell]]'' (+2100875/2097152) → [[Semicomma family #Rainwell|Semicomma family]]
 * ''[[Quintiquart]]'' (+390625000/387420489) → [[Quartonic family #Quintiquart|Quartonic family]]
@@ Line 40: / Line 41: @@
 For ''no-twos'' extensions, see [[No-twos subgroup temperaments #Canopus]].
-Considered below are grendel, mirkat, eris, subsemifourth, septendesemi, gaster, subsedia, hemiseptisix, browser, and grazer.
+Considered below are mirkat, eris, subsemifourth, septendesemi, gaster, subsedia, hemiseptisix, browser, and grazer.
 == Mirkat ==

FloraC: Move pluto and kwai away

2026-04-02T11:05:28Z

Move pluto and kwai away

Show changes