Marvel family - Revision history

FloraC: Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "

2026-09-30T17:44:20Z

Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "

← Older revision		Revision as of 17:44, 30 September 2026
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	Comma list: 225/224, 325/324, 385/384, 400/399		Comma list: 225/224, 325/324, 385/384, 400/399

	~~Subgroup-val mapping:~~ {{~~mapping~~\| 1 0 0 -5 12 2 9 \| 0 1 0 2 -1 4 -3 \| 0 0 1 2 -3 -2 0 }}		{{Mapping\|legend=2\| 1 0 0 -5 12 2 9 \| 0 1 0 2 -1 4 -3 \| 0 0 1 2 -3 -2 0 }}

	Optimal tunings:		Optimal tunings:

FloraC: - complexity spectra (relocated to the main article for it)

2026-09-26T13:36:07Z

- complexity spectra (relocated to the main article for it)

← Older revision		Revision as of 13:36, 26 September 2026
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	[[Projection pair]]s: <code>7 225/32</code>		[[Projection pair]]s: <code>7 225/32</code>

	~~[[Complexity spectrum]]: 4/3, 5/4, 7/5, 7/6, 8/7, 6/5, 9/8, 9/7, 10/9~~

	Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]], [[marvel wholetone]]		Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]], [[marvel wholetone]]
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	[[Projection pair]]s: <code>7 225/32 11 4096/375</code>		[[Projection pair]]s: <code>7 225/32 11 4096/375</code>

	~~[[Complexity spectrum]]: 5/4, 4/3, 7/6, 8/7, 7/5, 6/5, 9/7, 12/11, 9/8, 11/8, 11/9, 10/9, 11/10, 14/11~~

	Scales: [[marvel22_11]], [[unimarv19]], [[unimarv22]]		Scales: [[marvel22_11]], [[unimarv19]], [[unimarv22]]
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	Badness (Sintel): 0.645		Badness (Sintel): 0.645

	~~Complexity spectrum: 5/4, 4/3, 16/15, 15/14, 9/7, 6/5, 7/6, 11/8, 7/5, 9/8, 8/7, 10/9, 12/11, 13/10, 11/10, 15/11, 16/13, 11/9, 15/13, 14/13, 13/12, 14/11, 18/13, 13/11~~

	=== Hecate ===		=== Hecate ===
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	Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>		Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>

	~~Complexity spectrum: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11~~

	===== 2.3.5.7.11.13.19 subgroup =====		===== 2.3.5.7.11.13.19 subgroup =====

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

2026-09-24T12:32:43Z

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

Show changes

FloraC: Recategorize

2026-08-14T12:08:28Z

Recategorize

← Older revision		Revision as of 12:08, 14 August 2026
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	<references />		<references />

			[[Category:Marvel family\| ]] <!-- main article -->
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:~~Marvel family\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-3 temperaments]]
	~~[[Category:Rank~~ 3]]

FloraC: Decanonicalize tridecimal marvel

2026-05-19T07:47:14Z

Decanonicalize tridecimal marvel

← Older revision		Revision as of 07:47, 19 May 2026
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	Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament\|associated]] with [[wizard]]. This extension is natural because of the factorization 225/224 = (385/384)⋅(540/539). [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well.		Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament\|associated]] with [[wizard]]. This extension is natural because of the factorization 225/224 = (385/384)⋅(540/539). [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well.

	In the 13-limit, 225/224 factors as ([[351/350]])⋅([[625/624]]) or ([[325/324]])⋅([[729/728]]). Tempering out 351/350 and 625/624 leads to ~~tridecimal marvel~~, tempering out 325/324 and 729/728 leads to hecate. Tempering out all of them leads to the 13-limit version of [[catakleismic]].		In the 13-limit, 225/224 factors as ([[351/350]])⋅([[625/624]]) or ([[325/324]])⋅([[729/728]]). Tempering out 351/350 and 625/624 leads to helios, tempering out 325/324 and 729/728 leads to hecate. Tempering out all of them leads to the 13-limit version of [[catakleismic]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11
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	}}		}}

	=== ~~13-limit~~ ===		=== Helios ===
	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

FloraC: - interwiki (moved to Marvel)

2026-05-19T07:38:57Z

- interwiki (moved to Marvel)

← Older revision		Revision as of 07:38, 19 May 2026
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	~~{{Interwiki~~
	~~\| en = Marvel family~~
	~~\| de = Marvel~~
	~~\| es =~~
	~~\| ja =~~
	}}
	{{Technical data page}}		{{Technical data page}}
	The '''marvel family''' of [[rank-3 temperament\|rank-3]] [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[7-limit]] [[marvel comma]] ([[ratio]]: [[225/224]], {{monzo\|legend=1\| -5 2 2 -1 }}), also known as ''septimal kleisma''. These temperaments hence equate [[16/15]] and [[15/14]], or equivalently they equate two [[5/4]]'s and one [[14/9]]. The marvel comma is noteworthy in that it is tempered out by many common [[equal temperament\|equal]] and [[rank-2 temperament]]s.		The '''marvel family''' of [[rank-3 temperament\|rank-3]] [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[7-limit]] [[marvel comma]] ([[ratio]]: [[225/224]], {{monzo\|legend=1\| -5 2 2 -1 }}), also known as ''septimal kleisma''. These temperaments hence equate [[16/15]] and [[15/14]], or equivalently they equate two [[5/4]]'s and one [[14/9]]. The marvel comma is noteworthy in that it is tempered out by many common [[equal temperament\|equal]] and [[rank-2 temperament]]s.

FloraC: Move catakleismoid to kleismic rank-3 family

2026-04-11T09:42:45Z

Move catakleismoid to kleismic rank-3 family

@@ Line 1: / Line 1: @@
-{{interwiki
+{{Interwiki
 | en = Marvel family
 | de = Marvel
@@ Line 80: / Line 80: @@
 * ''[[Marvelpine]]'' (+4000/3993) → [[Wizardharry clan #Marvelpine|Wizardharry clan]]
 * ''[[Mirage]]'' (+243/242, +385/384) → [[Rastmic rank-3 clan #Spectacle|Rastmic rank-3 clan]]
 == Undecimal marvel ==
@@ Line 744: / Line 745: @@
 [[Badness]] (Sintel): 1.38
 == Subgroup extensions ==

Overthink: /* Isis */ fix mapping

2026-04-10T19:59:52Z

Isis: fix mapping

← Older revision		Revision as of 19:59, 10 April 2026
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	Comma list: 225/224, 275/273, 385/384		Comma list: 225/224, 275/273, 385/384

	Mapping: {{mapping\| 1 0 0 -5 12 17 \| 0 1 0 2 -1 4 \| 0 0 1 2 -3 -3 }}		Mapping: {{mapping\| 1 0 0 -5 12 17 \| 0 1 0 2 -1 -4 \| 0 0 1 2 -3 -3 }}

	Optimal tunings:		Optimal tunings:

FloraC: /* Undecimal marvel */

2026-02-07T09:10:28Z

Undecimal marvel

← Older revision		Revision as of 09:10, 7 February 2026
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	{{Main\| Marvel }}		{{Main\| Marvel }}

	Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament\|associated]] with [[wizard]]. [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well.		Undecimal marvel tempers out [[385/384]] as well as [[540/539]], and is loosely [[associated temperament\|associated]] with [[wizard]]. This extension is natural because of the factorization 225/224 = (385/384)⋅(540/539). [[197edo]] remains useful as a tuning, with the 197e val, but [[166edo]], which among other things has a virtually pure 7, works as well.

	~~This extension is natural because of the factorization 225/224=(385/384)(540/539).~~ In the 13-limit, 225/224 factors as ([[351/350]])([[625/624]]) or ([[325/324]])*([[729/728]]). Tempering out 351/350 and 625/624 leads to tridecimal marvel, tempering out 325/324 and 729/728 leads to hecate. Tempering out all of them leads to the 13-limit version of [[catakleismic]].		In the 13-limit, 225/224 factors as ([[351/350]])⋅([[625/624]]) or ([[325/324]])⋅([[729/728]]). Tempering out 351/350 and 625/624 leads to tridecimal marvel, tempering out 325/324 and 729/728 leads to hecate. Tempering out all of them leads to the 13-limit version of [[catakleismic]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

Xenllium: /* Marvel */

2026-02-06T23:18:37Z

Marvel

← Older revision		Revision as of 23:18, 6 February 2026
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	* ''[[Artemis]]'' (+121/120) → [[Biyatismic clan #Artemis\|Biyatismic clan]]		* ''[[Artemis]]'' (+121/120) → [[Biyatismic clan #Artemis\|Biyatismic clan]]
	* ''[[Spectacle]]'' (+243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]		* ''[[Spectacle]]'' (+243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]
			* ''[[Marvelpine]]'' (+4000/3993) → [[Wizardharry clan #Marvelpine\|Wizardharry clan]]
	* ''[[Mirage]]'' (+243/242, +385/384) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]		* ''[[Mirage]]'' (+243/242, +385/384) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]