Maja family - Revision history

FloraC: Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

2025-11-27T12:29:31Z

Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families"

← Older revision		Revision as of 12:29, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Maja family\| ]] <!-- main article -->		[[Category:Maja family\| ]] <!-- main article -->
	[[Category:Maja\| ]] <!-- key article -->		[[Category:Maja\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Lériendil: Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

2025-06-24T00:26:24Z

Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:26, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Maja family\| ]] <!-- main article -->		[[Category:Maja family\| ]] <!-- main article -->
	[[Category:Maja\| ]] <!-- key article -->		[[Category:Maja\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:40, 12 June 2025

2025-06-12T04:40:47Z

← Older revision		Revision as of 04:40, 12 June 2025
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	{{Mapping\|legend=1\| 1 8 11 13 \| 0 -17 -23 -27 }}		{{Mapping\|legend=1\| 1 8 11 13 \| 0 -17 -23 -27 }}

	~~{{Multival\|legend=1\| 17 23 27 -3 -5 -2 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~54/35 = 747.145		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~54/35 = 747.145
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	{{Mapping\|legend=1\| 1 8 11 -7 \| 0 -17 -23 26 }}		{{Mapping\|legend=1\| 1 8 11 -7 \| 0 -17 -23 26 }}

	~~{{Multival\|legend=1\| 17 23 -26 -3 -89 -125 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.264		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.264

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:45:54Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:45, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.		The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.

BudjarnLambeth: {{Technical data page}}

2025-04-13T07:15:10Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 07:15, 13 April 2025
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			{{Technical data page}}<br><br>
	The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.		The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.

Lériendil: /* Septimal maja */

2024-12-12T09:23:08Z

Septimal maja

← Older revision		Revision as of 09:23, 12 December 2024
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	{{Multival\|legend=1\| 17 23 27 -3 -5 -2 }}		{{Multival\|legend=1\| 17 23 27 -3 -5 -2 }}

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~~~125~~/81 = 747.145		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~54/35 = 747.145

	{{Optimal ET sequence\|legend=1\| 8d, 45, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45, 53 }}
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	Mapping: {{mapping\| 1 8 11 13 11 \| 0 -17 -23 -27 -20 }}		Mapping: {{mapping\| 1 8 11 13 11 \| 0 -17 -23 -27 -20 }}

	Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.100		Optimal tuning (POTE): ~2 = 1\1, ~54/35 = 747.100

	{{Optimal ET sequence\|legend=1\| 8d, 45e, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45e, 53 }}

FloraC: Note on the name

2024-03-13T07:39:55Z

Note on the name

← Older revision		Revision as of 07:39, 13 March 2024
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	The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.		The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.

			Maja was named by [[Petr Pařízek]] in 2011 for 13/10 is a generator and that ''M'' and ''J'' are the 13th letter and the 10th letter, respectively<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>. It is unrelated to either the [[interval quality\|major quality]] or [[magic\|magic temperament]].

	== Maja ==		== Maja ==
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	Badness: 0.043128		Badness: 0.043128

			== Notes ==

	[[Category:Temperament families]]		[[Category:Temperament families]]

FloraC: Update keys

2023-09-22T05:29:09Z

Update keys

← Older revision		Revision as of 05:29, 22 September 2023
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	The '''maja family''' tempers out the maja comma, {{monzo\|-3 -23 17}} = 762939453125/753145430616.		The '''maja family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maja comma]], {{monzo\| -3 -23 17 }} = 762939453125/753145430616.

	== Maja ==		== Maja ==
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	[[Comma list]]: 762939453125/753145430616		[[Comma list]]: 762939453125/753145430616

	~~[[POTE generator]]: ~125/81~~ = ~~747.198~~		{{Mapping\|legend=1\| 1 8 11 \| 0 -17 -23 }}

	[[~~Mapping~~]]: ~~[{{val\|~~1 ~~8 11}}~~, ~~{{val\|0 -17 -23}}]~~		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.198

	{{Optimal ET sequence\|legend=1\| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }}		{{Optimal ET sequence\|legend=1\| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }}
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	[[Badness]]: 0.361013		[[Badness]]: 0.361013

	==~~= 7-limit =~~==		== Septimal maja ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 2430/2401, 3125/3087		[[Comma list]]: 2430/2401, 3125/3087

	~~[[Mapping]]: [~~{{~~val~~\|1 8 11 13~~}}, {{val~~\|0 -17 -23 -27}}]		{{Mapping\|legend=1\| 1 8 11 13 \| 0 -17 -23 -27 }}

	{{Multival\|legend=1\| 17 23 27 -3 -5 -2 }}		{{Multival\|legend=1\| 17 23 27 -3 -5 -2 }}

	[[POTE ~~generator~~]]: ~125/81 = 747.145		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.145

	{{Optimal ET sequence\|legend=1\| 8d, 45, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45, 53 }}
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	Comma list: 99/98, 121/120, 3125/3087		Comma list: 99/98, 121/120, 3125/3087

	Mapping: [{{~~val~~\|1 8 11 13 11~~}}, {{val~~\|0 -17 -23 -27 -20}}]		Mapping: {{mapping\| 1 8 11 13 11 \| 0 -17 -23 -27 -20 }}

	POTE ~~generator~~: ~77/50 = 747.100		Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.100

	{{Optimal ET sequence\|legend=1\| 8d, 45e, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45e, 53 }}
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	Comma list: 99/98, 121/120, 169/168, 275/273		Comma list: 99/98, 121/120, 169/168, 275/273

	Mapping: [{{~~val~~\|1 8 11 13 11 12~~}}, {{val~~\|0 -17 -23 -27 -20 -22}}]		Mapping: {{mapping\| 1 8 11 13 11 12 \| 0 -17 -23 -27 -20 -22 }}

	POTE ~~generator~~: ~20/13 = 747.095		Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.095

	{{Optimal ET sequence\|legend=1\| 8d, 45ef, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45ef, 53 }}
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	== Majo ==		== Majo ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 6144/6125, 1250000/1240029		[[Comma list]]: 6144/6125, 1250000/1240029

	~~[[Mapping]]: [~~{{~~val~~\|1 8 11 -7~~}}, {{val~~\|0 -17 -23 26}}]		{{Mapping\|legend=1\| 1 8 11 -7 \| 0 -17 -23 26 }}

	{{Multival\|legend=1\|17 23 -26 -3 -89 -125}}		{{Multival\|legend=1\| 17 23 -26 -3 -89 -125 }}

	[[POTE ~~generator~~]]: ~125/81 = 747.264		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.264

	{{Optimal ET sequence\|legend=1\| 53, 167, 220, 493bd, 713bdd }}		{{Optimal ET sequence\|legend=1\| 53, 167, 220, 493bd, 713bdd }}
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	Comma list: 2200/2187, 3388/3375, 6144/6125		Comma list: 2200/2187, 3388/3375, 6144/6125

	Mapping: [{{~~val~~\|1 8 11 -7 31~~}}, {{val~~\|0 -17 -23 26 -73}}]		Mapping: {{mapping\| 1 8 11 -7 31 \| 0 -17 -23 26 -73 }}

	POTE ~~generator~~: ~77/50 = 747.287		Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.287

	{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}		{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}
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	Comma list: 325/324, 352/351, 1001/1000, 2704/2695		Comma list: 325/324, 352/351, 1001/1000, 2704/2695

	Mapping: [{{~~val~~\|1 8 11 -7 31 12~~}}, {{val~~\|0 -17 -23 26 -73 -22}}]		Mapping: {{mapping\| 1 8 11 -7 31 12 \| 0 -17 -23 26 -73 -22 }}

	POTE ~~generator~~: ~20/13 = 747.286		Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.286

	{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}		{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Maja family\| ]] <!-- main article -->		[[Category:Maja family\| ]] <!-- main article -->
			[[Category:Maja\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T16:10:58Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 16:10, 7 May 2023
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	[[Mapping]]: [{{val\|1 8 11}}, {{val\|0 -17 -23}}]		[[Mapping]]: [{{val\|1 8 11}}, {{val\|0 -17 -23}}]

	{{~~Val list~~\|legend=1\| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }}		{{Optimal ET sequence\|legend=1\| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }}

	[[Badness]]: 0.361013		[[Badness]]: 0.361013
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	[[POTE generator]]: ~125/81 = 747.145		[[POTE generator]]: ~125/81 = 747.145

	{{~~Val list~~\|legend=1\| 8d, 45, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45, 53 }}

	[[Badness]]: 0.089454		[[Badness]]: 0.089454
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	POTE generator: ~77/50 = 747.100		POTE generator: ~77/50 = 747.100

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 8d, 45e, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45e, 53 }}

	Badness: 0.049991		Badness: 0.049991
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	POTE generator: ~20/13 = 747.095		POTE generator: ~20/13 = 747.095

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 8d, 45ef, 53 }}		{{Optimal ET sequence\|legend=1\| 8d, 45ef, 53 }}

	Badness: 0.027532		Badness: 0.027532
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	[[POTE generator]]: ~125/81 = 747.264		[[POTE generator]]: ~125/81 = 747.264

	{{~~Val list~~\|legend=1\| 53, 167, 220, 493bd, 713bdd }}		{{Optimal ET sequence\|legend=1\| 53, 167, 220, 493bd, 713bdd }}

	[[Badness]]: 0.140489		[[Badness]]: 0.140489
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	POTE generator: ~77/50 = 747.287		POTE generator: ~77/50 = 747.287

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 53, 114e, 167, 220, 387bd }}		{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}

	Badness: 0.081931		Badness: 0.081931
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	POTE generator: ~20/13 = 747.286		POTE generator: ~20/13 = 747.286

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 53, 114e, 167, 220, 387bd }}		{{Optimal ET sequence\|legend=1\| 53, 114e, 167, 220, 387bd }}

	Badness: 0.043128		Badness: 0.043128

FloraC: The comma basis was wrong

2022-08-03T15:17:13Z

The comma basis was wrong

← Older revision		Revision as of 15:17, 3 August 2022
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	== Maja ==		== Maja ==
	Subgroup: 2.3.5		[[Subgroup]]: 2.3.5

	[[Comma]]: 762939453125/753145430616		[[Comma list]]: 762939453125/753145430616

	[[POTE generator]]: ~125/81 = 747.198		[[POTE generator]]: ~125/81 = 747.198
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	Badness: 0.049991		Badness: 0.049991

	=== 13-limit ~~(aka kleiboh)~~ ===		=== 13-limit ===
	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

	Comma list: ~~176~~/~~175~~, ~~275~~/~~273~~, ~~325~~/~~324~~, ~~540~~/~~539~~		Comma list: 99/98, 121/120, 169/168, 275/273

	Mapping: [{{val\|1 8 11 13 11 12}}, {{val\|0 -17 -23 -27 -20 -22}}]		Mapping: [{{val\|1 8 11 13 11 12}}, {{val\|0 -17 -23 -27 -20 -22}}]
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Maja family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]