Marveltwin - Revision history

FloraC: Fix linking

2025-08-27T13:30:01Z

Fix linking

← Older revision		Revision as of 13:30, 27 August 2025
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	* [[Marvel\|Marvel (hecate)]] → [[Marvel family #Hecate\|Marvel family]]		* [[Marvel\|Marvel (hecate)]] → [[Marvel family #Hecate\|Marvel family]]
	: +225/224, 385/384		: +225/224, 385/384
	* [[Enlil\|Enlil a.k.a. sumatra]] → [[Kleismic rank ~~three~~ family #Enlil\|Kleismic rank-3 family]]		* [[Enlil\|Enlil a.k.a. sumatra]] → [[Kleismic rank-3 family #Enlil\|Kleismic rank-3 family]]
	: +385/384, 625/624		: +385/384, 625/624

Lériendil: Text replacement - "eigenmonzo (unchanged-interval) " to "unchanged-interval (eigenmonzo) "

2025-06-21T06:58:19Z

Text replacement - "eigenmonzo (unchanged-interval) " to "unchanged-interval (eigenmonzo) "

← Older revision		Revision as of 06:58, 21 June 2025
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	\|}		\|}
	: 3 pure; 5, 7, 11 and 13 all flat by (325/324)<sup>1/3</sup>, which is 1.778 cents.		: 3 pure; 5, 7, 11 and 13 all flat by (325/324)<sup>1/3</sup>, which is 1.778 cents.
	: [[eigenmonzo basis\|~~eigenmonzo (~~unchanged-interval) basis]]: 2.3.7/5.11/5.13/5		: [[eigenmonzo basis\|unchanged-interval (eigenmonzo) basis]]: 2.3.7/5.11/5.13/5

	[[Complexity spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/13, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11, 15/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11		[[Complexity spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/13, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11, 15/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11
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	[[Minimax tuning]]s:		[[Minimax tuning]]s:
	* 13-limit ~~eigenmonzo (~~unchanged-interval) basis: 2.7.11/5.13/5		* 13-limit unchanged-interval (eigenmonzo) basis: 2.7.11/5.13/5
	* 15-limit ~~eigenmonzo (~~unchanged-interval) basis: 2.7.15/11.15/13		* 15-limit unchanged-interval (eigenmonzo) basis: 2.7.15/11.15/13

	{{Optimal ET sequence\|legend=1\| 12, 19, 41, 53, 72, 166 }}		{{Optimal ET sequence\|legend=1\| 12, 19, 41, 53, 72, 166 }}

FloraC: Cleanup (5/5)

2024-09-29T09:18:38Z

Cleanup (5/5)

← Older revision		Revision as of 09:18, 29 September 2024
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	~~__FORCETOC__~~		{{Todo\|inline=1\| intro }}

	== Marveltwin and marvel ==		== Marveltwin and marvel ==
	The marveltwin comma, [[325/324]], bears a curiously close analogy to the marvel comma, [[225/224]]. 325/324 can be added to the [[11-limit]] version of marvel, which tempers out 225/224 and 385/384, to get [[13-limit]] marvel, aka hecate. But it's also interesting to leave 11 out of it. From 225/224 we get that a 5-limit approximation for 7 is 225/224 * 7 = 225/32. Similarly from 325/324 we get a 5-limit approximation of 13 from 324/325 * 13 = 324/25. If we define the major/minor transformation of the 5-limit as the result of fixing 2 and 3 and replacing 5 by 24/5, then major/minor applied to 225/32 is 162/25, which is (324/25)/2. Similarly, major/minor applied to 324/25 is 225/16 = 2 * (225/32). 225/224 tells us that two 16/15 in a row are an approximate 8/7, and 325/324 tells us two 10/9 in a row are an approximate 16/13. Needless to say, major/minor applied to 16/15 is 10/9, and applied to 10/9 is 16/15.		The marveltwin comma, [[325/324]], bears a curiously close analogy to the marvel comma, [[225/224]]. 325/324 can be added to the [[11-limit]] version of marvel, which tempers out 225/224 and 385/384, to get [[13-limit]] marvel, aka hecate. But it's also interesting to leave 11 out of it. From 225/224 we get that a 5-limit approximation for 7 is 225/224 * 7 = 225/32. Similarly from 325/324 we get a 5-limit approximation of 13 from 324/325 * 13 = 324/25. If we define the major/minor transformation of the 5-limit as the result of fixing 2 and 3 and replacing 5 by 24/5, then major/minor applied to 225/32 is 162/25, which is (324/25)/2. Similarly, major/minor applied to 324/25 is 225/16 = 2 * (225/32). 225/224 tells us that two 16/15 in a row are an approximate 8/7, and 325/324 tells us two 10/9 in a row are an approximate 16/13. Needless to say, major/minor applied to 16/15 is 10/9, and applied to 10/9 is 16/15.
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	=== 385/384 ===		=== 385/384 ===
	[[~~Subgroup~~]]~~: 2~~.~~3.5.7.11.13~~		See [[Keenanismic family #Martwin]].

	~~[[Comma list]]: 325/324, 385/384~~

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

	~~{{Optimal ET sequence\|legend=1\| 7, 15, 19, 26, 34, 41, 46, 53, 72, 87, 140, 159, 212, 299 }}~~

	~~[[Badness]]: 2.206 × 10<sup>-6</sup>~~

	=== 364/363 ===		=== 364/363 ===
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	[[Category:Commatic realms]]		[[Category:Commatic realms]]
	[[Category:Marveltwin]]		[[Category:Marveltwin]]
	~~{{Todo\| cleanup }}~~

FloraC: Cleanup (4/)

2024-09-29T09:11:48Z

Cleanup (4/)

← Older revision		Revision as of 09:11, 29 September 2024
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	== Rank-3 temperaments ==		== Rank-3 temperaments ==
	~~=== Portending ===~~		Notable rank-3 temperaments of marveltwin include:
	~~Commas~~: ~~325/324, 364/363, 441/440~~

	~~Spectrum~~: 8/7, 4/~~3, 11/8, 6/5, 14/11, 7/6, 10/9, 12/11, 5/4, 13/11, 9/8, 7/5, 11/9, 9/7, 18/13, 13/12, 16/15, 11/10, 15/14, 16/13, 14/13, 15/11, 13/10, 15/13~~		* [[Portent\|Portending]] → [[Gamelismic family #Portending\|Gamelismic family]]
			: +385/384, 441/440
	~~Edos: 15, 26, 41, 46, 72, 87, 159~~		* [[Marvel\|Marvel (hecate)]] → [[Marvel family #Hecate\|Marvel family]]
			: +225/224, 385/384
	~~10^5~~ * ~~Badness: 62.715~~		* [[Enlil\|Enlil a.k.a. sumatra]] → [[Kleismic rank three family #Enlil\|Kleismic rank-3 family]]
			: +385/384, 625/624
	~~===~~ Marvel (hecate) ~~===~~
	~~Commas~~: 225/224~~, 325/324~~, 385/384

	~~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~~

	~~Edos: 19, 41, 53, 72, 166~~

	~~10^5~~ * ~~Badness: 72~~.~~113~~

	~~=== Sumatra ===~~
	~~Commas~~: ~~325/324,~~ 385/384, 625/624

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

	~~Edos: 15, 19, 34, 53, 72, 87, 140, 159, 212, 299~~

	~~Optimal patent val: [[299edo\|299edo]]~~

	~~10^5 * Badness: 68.005~~

	[[Category:Regular temperament theory]]		[[Category:Regular temperament theory]]
	[[Category:Commatic realms]]		[[Category:Commatic realms]]
	[[Category:Marveltwin]]		[[Category:Marveltwin]]

	{{Todo\| cleanup }}		{{Todo\| cleanup }}

FloraC: Cleanup (3/)

2024-09-29T09:03:32Z

Cleanup (3/)

Show changes

FloraC: Cleanup (2/)

2024-09-29T08:57:36Z

Cleanup (2/)

← Older revision		Revision as of 08:57, 29 September 2024
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	[[Comma list]]: 325/324		[[Comma list]]: 325/324

	~~13 and 15 limit minimax tuning~~		[[Mapping]]:
			{\| class="right-all"
	{\| class="~~wikitable~~"
	\|-
	~~\| \| [1 0 0 0 0 0>~~
	\|-		\|-
	\| \| [0 1 0 0 0 0~~>~~		\| {{lbrack}}⟨ \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 2 \|\| {{rbrack}},
	\|-		\|-
	\| \| ~~[2/3 4/3~~ 1/3 0 0 ~~-1/3>~~		\| ⟨ \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 4 \|\| {{rbrack}},
	\|-		\|-
	\| \| ~~[2/3 4/3 -2/3~~ 1 0 -~~1/3>~~		\| ⟨ \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| -2 \|\| {{rbrack}},
	\|-		\|-
	\| \| ~~[2/3 4/3 -2/3~~ 0 1 ~~-1/3>~~		\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| {{rbrack}},
	\|-		\|-
	\| \| ~~[2/3 4/3 -2/3~~ 0 0 ~~2/3>~~		\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| {{rbrack}}{{rbrack}}
	\|}		\|}

	~~Fifths are pure; 5, 7, 11 and 13 are all flat by (325/324)^(1/3), which is 1.778 cents.~~		[[Minimax tuning]]s:
			* 13- and 15-odd-limit
	~~[[Eigenmonzo subgroup]] (~~[[~~unchanged-interval basis~~]]): ~~2.3.7/5.11/5.13/5~~		: {\| class="right-all"
			\|-
	~~[[Spectrum_of_a_temperament\|Spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/~~13~~, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11,~~ 15~~/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11~~		\| {{lbrack}}{{lbrack}} \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| ⟩

	~~Mapping~~:

	{\| class="~~wikitable~~"
	\|-		\|-
	\| \| ~~<~~1 0 0 0 0 2]		\| {{lbrack}} \|\| 0 \|\| 1 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| ⟩
	\|-		\|-
	\| \| ~~<0~~ 1 0 0 ~~0 4]~~		\| {{lbrack}} \|\| 2/3 \|\| 4/3 \|\| 1/3 \|\| 0 \|\| 0 \|\| -1/3 \|\| ⟩
	\|-		\|-
	\| \| ~~<0 0~~ 1 0 0 -2]		\| {{lbrack}} \|\| 2/3 \|\| 4/3 \|\| -2/3 \|\| 1 \|\| 0 \|\| -1/3 \|\| ⟩
	\|-		\|-
	\| \| ~~<0 0~~ 0 1 ~~0 0]~~		\| {{lbrack}} \|\| 2/3 \|\| 4/3 \|\| -2/3 \|\| 0 \|\| 1 \|\| -1/3 \|\| ⟩
	\|-		\|-
	\| \| ~~<~~0 0 ~~0 0 1 0]~~		\| {{lbrack}} \|\| 2/3 \|\| 4/3 \|\| -2/3 \|\| 0 \|\| 0 \|\| 2/3 \|\| ⟩{{rbrack}}
	\|}		\|}
			: 3 pure; 5, 7, 11 and 13 all flat by (325/324)<sup>1/3</sup>, which is 1.778 cents.
			: [[eigenmonzo basis\|eigenmonzo (unchanged-interval) basis]]: 2.3.7/5.11/5.13/5

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

	~~Edos:~~ 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333		{{Optimal ET sequence\|legend=1\| 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333 }}

	== Rank-4 temperaments ==		== Rank-4 temperaments ==

FloraC: Cleanup (1/)

2024-09-29T08:48:55Z

Cleanup (1/)

← Older revision		Revision as of 08:48, 29 September 2024
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	__FORCETOC__		__FORCETOC__
	=Marveltwin and ~~Marvel~~=		== Marveltwin and marvel ==
	The marveltwin comma, [[325/324]], bears a curiously close analogy to the marvel comma, [[225/224]]. 325/324 can be added to the [[11-limit]] version of marvel, which tempers out 225/224 and 385/384, to get [[13-limit]] marvel, aka hecate. But it's also interesting to leave 11 out of it. From 225/224 we get that a 5-limit approximation for 7 is 225/224 * 7 = 225/32. Similarly from 325/324 we get a 5-limit approximation of 13 from 324/325 * 13 = 324/25. If we define the major/minor transformation of the 5-limit as the result of fixing 2 and 3 and replacing 5 by 24/5, then major/minor applied to 225/32 is 162/25, which is (324/25)/2. Similarly, major/minor applied to 324/25 is 225/16 = 2 * (225/32). 225/224 tells us that two 16/15 in a row are an approximate 8/7, and 325/324 tells us two 10/9 in a row are an approximate 16/13. Needless to say, major/minor applied to 16/15 is 10/9, and applied to 10/9 is 16/15.		The marveltwin comma, [[325/324]], bears a curiously close analogy to the marvel comma, [[225/224]]. 325/324 can be added to the [[11-limit]] version of marvel, which tempers out 225/224 and 385/384, to get [[13-limit]] marvel, aka hecate. But it's also interesting to leave 11 out of it. From 225/224 we get that a 5-limit approximation for 7 is 225/224 * 7 = 225/32. Similarly from 325/324 we get a 5-limit approximation of 13 from 324/325 * 13 = 324/25. If we define the major/minor transformation of the 5-limit as the result of fixing 2 and 3 and replacing 5 by 24/5, then major/minor applied to 225/32 is 162/25, which is (324/25)/2. Similarly, major/minor applied to 324/25 is 225/16 = 2 * (225/32). 225/224 tells us that two 16/15 in a row are an approximate 8/7, and 325/324 tells us two 10/9 in a row are an approximate 16/13. Needless to say, major/minor applied to 16/15 is 10/9, and applied to 10/9 is 16/15.

	=Rank ~~five~~=		== Rank-5 temperaments ==
	Comma: 325/324		[[Subgroup]]: 2.3.5.7.11.13

			[[Comma list]]: 325/324

	13 and 15 limit minimax tuning		13 and 15 limit minimax tuning
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	Edos: 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333		Edos: 7, 12, 15, 19, 26, 34, 41, 46, 53, 72, 87, 121, 140, 159, 193, 212, 299, 333

	=Rank ~~four~~=		== Rank-4 temperaments ==
			=== 225/224 ===
	==225/224==

	13-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.11/5.13/5		13-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.11/5.13/5
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	10^6 * Badness: 3.668		10^6 * Badness: 3.668

	==385/384==		=== 385/384 ===

	Spectrum: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 11/8, 7/6, 12/11, 16/15, 18/13, 13/12, 9/7, 7/5, 16/13, 11/9, 11/10, 13/11, 14/13, 15/14, 15/11, 13/10, 15/13, 14/11		Spectrum: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 11/8, 7/6, 12/11, 16/15, 18/13, 13/12, 9/7, 7/5, 16/13, 11/9, 11/10, 13/11, 14/13, 15/14, 15/11, 13/10, 15/13, 14/11
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	10^6 * Badness: 2.206		10^6 * Badness: 2.206

	==364/363==		=== 364/363 ===

	Spectrum: 4/3, 6/5, 10/9, 11/8, 5/4, 12/11, 14/11, 9/8, 13/11, 11/9, 8/7, 13/12, 18/13, 16/15, 7/6, 11/10, 7/5, 16/13, 9/7, 15/11, 15/14, 13/10, 15/13, 14/13		Spectrum: 4/3, 6/5, 10/9, 11/8, 5/4, 12/11, 14/11, 9/8, 13/11, 11/9, 8/7, 13/12, 18/13, 16/15, 7/6, 11/10, 7/5, 16/13, 9/7, 15/11, 15/14, 13/10, 15/13, 14/13
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	10^6 * Badness: 3.011		10^6 * Badness: 3.011

	==441/440==		=== 441/440 ===

	Spectrum: 4/3, 6/5, 8/7, 10/9, 14/11, 5/4, 7/6, 9/8, 7/5, 16/15, 13/12, 18/13, 9/7, 11/8, 12/11, 15/14, 16/13, 11/9, 11/10, 13/11, 15/11, 14/13, 13/10, 15/13		Spectrum: 4/3, 6/5, 8/7, 10/9, 14/11, 5/4, 7/6, 9/8, 7/5, 16/15, 13/12, 18/13, 9/7, 11/8, 12/11, 15/14, 16/13, 11/9, 11/10, 13/11, 15/11, 14/13, 13/10, 15/13
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	10^6 * Badness: 3.037		10^6 * Badness: 3.037

	==169/168==		=== 169/168 ===

	Spectrum: 10/9, 6/5, 4/3, 14/13, 13/12, 16/13, 5/4, 18/13, 9/8, 13/10, 8/7, 7/6, 15/13, 16/15, 9/7, 7/5, 11/8, 12/11, 13/11, 11/10, 15/14, 11/9, 14/11, 15/11		Spectrum: 10/9, 6/5, 4/3, 14/13, 13/12, 16/13, 5/4, 18/13, 9/8, 13/10, 8/7, 7/6, 15/13, 16/15, 9/7, 7/5, 11/8, 12/11, 13/11, 11/10, 15/14, 11/9, 14/11, 15/11
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	10^6 * Badness: 2.975		10^6 * Badness: 2.975

	==540/539==		=== 540/539 ===

	Spectrum: 4/3, 6/5, 7/6, 9/7, 10/9, 5/4, 7/5, 9/8, 15/14, 8/7, 16/15, 18/13, 13/12, 12/11, 11/9, 11/10, 11/8, 15/11, 16/13, 14/13, 15/13, 13/10, 13/11, 14/11		Spectrum: 4/3, 6/5, 7/6, 9/7, 10/9, 5/4, 7/5, 9/8, 15/14, 8/7, 16/15, 18/13, 13/12, 12/11, 11/9, 11/10, 11/8, 15/11, 16/13, 14/13, 15/13, 13/10, 13/11, 14/11
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	10^6 * Badness: 3.281		10^6 * Badness: 3.281

	==352/351==		=== 352/351 ===

	Spectrum: 4/3, 10/9, 6/5, 9/8, 5/4, 13/11, 16/13, 11/9, 13/12, 12/11, 16/15, 18/13, 8/7, 7/6, 11/8, 9/7, 15/11, 11/10, 7/5, 14/13, 13/10, 15/14, 14/11, 15/13		Spectrum: 4/3, 10/9, 6/5, 9/8, 5/4, 13/11, 16/13, 11/9, 13/12, 12/11, 16/15, 18/13, 8/7, 7/6, 11/8, 9/7, 15/11, 11/10, 7/5, 14/13, 13/10, 15/14, 14/11, 15/13
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	10^6 * Badness: 3.434		10^6 * Badness: 3.434

	==625/624==		=== 625/624 ===

	Spectrum: 6/5, 18/13, 15/13, 5/4, 4/3, 10/9, 13/12, 13/10, 16/15, 9/8, 16/13, 8/7, 7/5, 7/6, 15/14, 11/8, 9/7, 11/10, 12/11, 14/13, 15/11, 11/9, 13/11, 14/11		Spectrum: 6/5, 18/13, 15/13, 5/4, 4/3, 10/9, 13/12, 13/10, 16/15, 9/8, 16/13, 8/7, 7/5, 7/6, 15/14, 11/8, 9/7, 11/10, 12/11, 14/13, 15/11, 11/9, 13/11, 14/11
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	10^6 * Badness: 3.563		10^6 * Badness: 3.563

	=Rank ~~three~~=		== Rank-3 temperaments ==
			=== Portending ===
	==Portending==
	Commas: 325/324, 364/363, 441/440		Commas: 325/324, 364/363, 441/440

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	10^5 * Badness: 62.715		10^5 * Badness: 62.715

	==Marvel (~~Hecate~~)==		=== Marvel (hecate) ===
	Commas: 225/224, 325/324, 385/384		Commas: 225/224, 325/324, 385/384

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	10^5 * Badness: 72.113		10^5 * Badness: 72.113

	==Sumatra==		=== Sumatra ===
	Commas: 325/324, 385/384, 625/624		Commas: 325/324, 385/384, 625/624

Cmloegcmluin: add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group

2023-05-05T23:42:09Z

add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group

← Older revision		Revision as of 23:42, 5 May 2023
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	Fifths are pure; 5, 7, 11 and 13 are all flat by (325/324)^(1/3), which is 1.778 cents.		Fifths are pure; 5, 7, 11 and 13 are all flat by (325/324)^(1/3), which is 1.778 cents.

	Eigenmonzo subgroup: 2.3.7/5.11/5.13/5		[[Eigenmonzo subgroup]] ([[unchanged-interval basis]]): 2.3.7/5.11/5.13/5

	[[Spectrum_of_a_temperament\|Spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/13, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11, 15/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11		[[Spectrum_of_a_temperament\|Spectrum]]: 4/3, 6/5, 10/9, 5/4, 9/8, 8/7, 16/15, 18/13, 13/12, 7/6, 16/13, 7/5, 11/8, 9/7, 12/11, 15/14, 11/10, 11/9, 13/10, 14/13, 15/13, 14/11, 15/11, 13/11
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	==225/224==		==225/224==

	13-limit eigenmonzo subgroup: 2.7.11/5.13/5		13-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.11/5.13/5

	15-limit eigenmonzo subgroup: 2.7.15/11.15/13		15-limit eigenmonzo subgroup (unchanged-interval basis): 2.7.15/11.15/13

	[[Spectrum_of_a_temperament\|Spectrum]]: 4/3, 5/4, 6/5, 16/15, 15/14, 9/8, 10/9, 7/5, 9/7, 7/6, 18/13, 8/7, 13/12, 16/13, 11/8, 12/11, 15/13, 11/10, 15/11, 11/9, 13/10, 14/13, 14/11, 13/11		[[Spectrum_of_a_temperament\|Spectrum]]: 4/3, 5/4, 6/5, 16/15, 15/14, 9/8, 10/9, 7/5, 9/7, 7/6, 18/13, 8/7, 13/12, 16/13, 11/8, 12/11, 15/13, 11/10, 15/11, 11/9, 13/10, 14/13, 14/11, 13/11

FloraC: Categories

2022-03-02T22:56:26Z

Fredg999 category edits: Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

2022-02-28T22:34:44Z

Moving from Category:Temperament to Category:Temperaments using Cat-a-lot

← Older revision		Revision as of 22:34, 28 February 2022
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	[[Category:Lists]]		[[Category:Lists]]
	[[Category:~~Temperament~~]]		[[Category:Temperaments]]
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Marveltwin]]		[[Category:Marveltwin]]

← Older revision		Revision as of 22:56, 2 March 2022
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	10^5 * Badness: 68.005		10^5 * Badness: 68.005

	[[Category:~~Lists~~]]		[[Category:Regular temperament theory]]
	[[Category:~~Temperaments]]~~		[[Category:Commatic realms]]
	~~[[Category:Marvel~~]]
	[[Category:Marveltwin]]		[[Category:Marveltwin]]

			{{Todo\| cleanup }}