Maquila family - Revision history

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

2025-11-27T12:21:05Z

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

← Older revision		Revision as of 12:21, 27 November 2025
Line 133:		Line 133:

	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Maquila family\| ]] <!-- main article -->		[[Category:Maquila family\| ]] <!-- main article -->
	[[Category:Maquila\| ]] <!-- key article -->		[[Category:Maquila\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-06-24T00:34:22Z

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

← Older revision		Revision as of 00:34, 24 June 2025
Line 133:		Line 133:

	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Maquila family\| ]] <!-- main article -->		[[Category:Maquila family\| ]] <!-- main article -->
	[[Category:Maquila\| ]] <!-- key article -->		[[Category:Maquila\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:39, 12 June 2025

2025-06-12T04:39:06Z

← Older revision		Revision as of 04:39, 12 June 2025
Line 21:		Line 21:

	{{Mapping\|legend=1\| 1 -6 5 -7 \| 0 17 -6 22 }}		{{Mapping\|legend=1\| 1 -6 5 -7 \| 0 17 -6 22 }}

	~~{{Multival\|legend=1\| 17 -6 22 -49 -13 68 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 535.322		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 535.322
Line 62:		Line 60:

	{{Mapping\|legend=1\| 1 -6 5 -3 \| 0 17 -6 13 }}		{{Mapping\|legend=1\| 1 -6 5 -3 \| 0 17 -6 13 }}

	~~{{Multival\|legend=1\| 17 -6 13 -49 -27 47 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 535.482		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 535.482
Line 103:		Line 99:

	{{Mapping\|legend=1\| 1 -6 5 -5 \| 0 34 -12 35 }}		{{Mapping\|legend=1\| 1 -6 5 -5 \| 0 34 -12 35 }}

	~~{{Multival\|legend=1\| 34 -12 35 -98 -40 115 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 267.716		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 267.716

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

" to "{{Technical data page}}"

2025-04-13T13:46:08Z

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

← Older revision		Revision as of 13:46, 13 April 2025
Line 1:		Line 1:
	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''maquila family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\| 49 -6 -17 }}.		The '''maquila family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\| 49 -6 -17 }}.

BudjarnLambeth: {{Technical data page}}

2025-04-13T08:41:03Z

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

← Older revision		Revision as of 08:41, 13 April 2025
Line 1:		Line 1:
			{{Technical data page}}<br><br>
	The '''maquila family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\| 49 -6 -17 }}.		The '''maquila family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\| 49 -6 -17 }}.

FloraC: Update keys

2023-09-22T05:44:31Z

Update keys

← Older revision		Revision as of 05:44, 22 September 2023
Line 1:		Line 1:
	The maquila family tempers out the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\|49 -6 -17}}.		The '''maquila family''' of [[Rank-2 temperament\|rank-2]] [[temperament]]s [[Tempering out\|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\| 49 -6 -17 }}.

	== Maquila ==		== Maquila ==
	Subgroup: 2.3.5		[[Subgroup]]: 2.3.5

	[[Comma]]: ~~562949953421312/556182861328125~~		[[Comma list]]: {{monzo\| 49 -6 -17 }}

	~~[[Mapping]]: [~~{{~~val~~\|1 -6 5~~}}, {{val~~\|0 17 -6}}]		{{Mapping\|legend=1\| 1 -6 5 \| 0 17 -6 }}

	[[POTE ~~generator~~]]: ~512/375 = 535.437		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 535.437

	{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}		{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}
Line 14:		Line 14:
	[[Badness]]: 0.472510		[[Badness]]: 0.472510

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

	[[Comma list]]: 225/224, 30233088/28824005		[[Comma list]]: 225/224, 30233088/28824005

	~~[[Mapping]]: [~~{{~~val~~\|1 -6 5 -7~~}}, {{val~~\|0 17 -6 22}}]		{{Mapping\|legend=1\| 1 -6 5 -7 \| 0 17 -6 22 }}

	{{Multival\|legend=1\|17 -6 22 -49 -13 68}}		{{Multival\|legend=1\| 17 -6 22 -49 -13 68 }}

	[[POTE ~~generator~~]]: ~48/35 = 535.322		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 535.322

	{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}		{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}
Line 34:		Line 34:
	Comma list: 99/98, 176/175, 73728/73205		Comma list: 99/98, 176/175, 73728/73205

	Mapping: [{{~~val~~\|1 -6 5 -7 -1~~}}, {{val~~\|0 17 -6 22 10}}]		Mapping: {{mapping\| 1 -6 5 -7 -1 \| 0 17 -6 22 10 }}

	POTE ~~generator~~: ~15/11 = 535.321		Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.321

	{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}		{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}
Line 47:		Line 47:
	Comma list: 99/98, 144/143, 176/175, 847/845		Comma list: 99/98, 144/143, 176/175, 847/845

	Mapping: [{{~~val~~\|1 -6 5 -7 -1 -7~~}}, {{val~~\|0 17 -6 22 10 24}}]		Mapping: {{mapping\| 1 -6 5 -7 -1 -7 \| 0 17 -6 22 10 24 }}

	POTE ~~generator~~: ~15/11 = 535.298		Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.298

	{{Optimal ET sequence\|legend=1\| 9, 56df, 65d, 139df, 204ddff }}		{{Optimal ET sequence\|legend=1\| 9, 56df, 65d, 139df, 204ddff }}
Line 56:		Line 56:

	== Maquiloid ==		== Maquiloid ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 686/675, 65625/65536		[[Comma list]]: 686/675, 65625/65536

	~~[[Mapping]]: [~~{{~~val~~\|1 -6 5 -3~~}}, {{val~~\|0 17 -6 13}}]		{{Mapping\|legend=1\| 1 -6 5 -3 \| 0 17 -6 13 }}

	{{Multival\|legend=1\|17 -6 13 -49 -27 47}}		{{Multival\|legend=1\| 17 -6 13 -49 -27 47 }}

	[[POTE ~~generator~~]]: ~175/128 = 535.482		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 535.482

	{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 121d, 186dd }}		{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 121d, 186dd }}
Line 75:		Line 75:
	Comma list: 245/242, 385/384, 686/675		Comma list: 245/242, 385/384, 686/675

	Mapping: [{{~~val~~\|1 -6 5 -3 -1~~}}, {{val~~\|0 17 -6 13 10}}]		Mapping: {{mapping\| 1 -6 5 -3 -1 \| 0 17 -6 13 10 }}

	POTE ~~generator~~: ~15/11 = 535.485		Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.485

	{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65, 121d, 186dde }}		{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65, 121d, 186dde }}
Line 88:		Line 88:
	Comma list: 91/90, 169/168, 245/242, 385/384		Comma list: 91/90, 169/168, 245/242, 385/384

	Mapping: [{{~~val~~\|1 -6 5 -3 -1 -3~~}}, {{val~~\|0 17 -6 13 10 15}}]		Mapping: {{mapping\| 1 -6 5 -3 -1 -3 \| 0 17 -6 13 10 15 }}

	POTE ~~generator~~: ~15/11 = 535.501		Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.501

	{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}		{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}
Line 97:		Line 97:

	== Hemimaquila ==		== Hemimaquila ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 6144/6125, 184528125/184473632		[[Comma list]]: 6144/6125, 184528125/184473632

	~~[[Mapping]]: [~~{{~~val~~\|1 -6 5 -5~~}}, {{val~~\|0 34 -12 35}}]		{{Mapping\|legend=1\| 1 -6 5 -5 \| 0 34 -12 35 }}

	{{Multival\|legend=1\|34 -12 35 -98 -40 115}}		{{Multival\|legend=1\| 34 -12 35 -98 -40 115 }}

	[[POTE ~~generator~~]]: ~7/6 = 267.716		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 267.716

	{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251, 381 }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251, 381 }}
Line 116:		Line 116:
	Comma list: 540/539, 5632/5625, 12005/11979		Comma list: 540/539, 5632/5625, 12005/11979

	Mapping: [{{~~val~~\|1 -6 5 -5 -1~~}}, {{val~~\|0 34 -12 35 20}}]		Mapping: {{mapping\| 1 -6 5 -5 -1 \| 0 34 -12 35 20 }}

	POTE ~~generator~~: ~7/6 = 267.717		Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.717

	{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}
Line 129:		Line 129:
	Comma list: 364/363, 540/539, 676/675, 3584/3575		Comma list: 364/363, 540/539, 676/675, 3584/3575

	Mapping: [{{~~val~~\|1 -6 5 -5 -1 -5~~}}, {{val~~\|0 34 -12 35 20 39}}]		Mapping: {{mapping\| 1 -6 5 -5 -1 -5 \| 0 34 -12 35 20 39 }}

	POTE ~~generator~~: ~7/6 = 267.719		Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.719

	{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}
Line 138:		Line 138:

	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Maquila]]		[[Category:Maquila family\| ]] <!-- main article -->
			[[Category:Maquila\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2023-05-07T16:09:56Z

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

← Older revision		Revision as of 16:09, 7 May 2023
Line 10:		Line 10:
	[[POTE generator]]: ~512/375 = 535.437		[[POTE generator]]: ~512/375 = 535.437

	{{~~Val list~~\|legend=1\| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}		{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}

	[[Badness]]: 0.472510		[[Badness]]: 0.472510
Line 25:		Line 25:
	[[POTE generator]]: ~48/35 = 535.322		[[POTE generator]]: ~48/35 = 535.322

	{{~~Val list~~\|legend=1\| 9, 56d, 65d }}		{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}

	[[Badness]]: 0.232430		[[Badness]]: 0.232430
Line 38:		Line 38:
	POTE generator: ~15/11 = 535.321		POTE generator: ~15/11 = 535.321

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 56d, 65d }}		{{Optimal ET sequence\|legend=1\| 9, 56d, 65d }}

	Badness: 0.072550		Badness: 0.072550
Line 51:		Line 51:
	POTE generator: ~15/11 = 535.298		POTE generator: ~15/11 = 535.298

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 56df, 65d, 139df, 204ddff }}		{{Optimal ET sequence\|legend=1\| 9, 56df, 65d, 139df, 204ddff }}

	Badness: 0.042198		Badness: 0.042198
Line 66:		Line 66:
	[[POTE generator]]: ~175/128 = 535.482		[[POTE generator]]: ~175/128 = 535.482

	{{~~Val list~~\|legend=1\| 9, 38b, 47b, 56, 65, 121d, 186dd }}		{{Optimal ET sequence\|legend=1\| 9, 38b, 47b, 56, 65, 121d, 186dd }}

	[[Badness]]: 0.188977		[[Badness]]: 0.188977
Line 79:		Line 79:
	POTE generator: ~15/11 = 535.485		POTE generator: ~15/11 = 535.485

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 38be, 47b, 56, 65, 121d, 186dde }}		{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65, 121d, 186dde }}

	Badness: 0.066234		Badness: 0.066234
Line 92:		Line 92:
	POTE generator: ~15/11 = 535.501		POTE generator: ~15/11 = 535.501

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}		{{Optimal ET sequence\|legend=1\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}

	Badness: 0.041850		Badness: 0.041850
Line 107:		Line 107:
	[[POTE generator]]: ~7/6 = 267.716		[[POTE generator]]: ~7/6 = 267.716

	{{~~Val list~~\|legend=1\| 9, 121, 130, 251, 381 }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251, 381 }}

	[[Badness]]: 0.111465		[[Badness]]: 0.111465
Line 120:		Line 120:
	POTE generator: ~7/6 = 267.717		POTE generator: ~7/6 = 267.717

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 121, 130, 251e, 381e }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}

	Badness: 0.047440		Badness: 0.047440
Line 133:		Line 133:
	POTE generator: ~7/6 = 267.719		POTE generator: ~7/6 = 267.719

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 9, 121, 130, 251e, 381e }}		{{Optimal ET sequence\|legend=1\| 9, 121, 130, 251e, 381e }}

	Badness: 0.024445		Badness: 0.024445

Fredg999 category edits: Removing from Category:Theory using Cat-a-lot

2022-08-03T01:31:50Z

Removing from Category:Theory using Cat-a-lot

← Older revision		Revision as of 01:31, 3 August 2022
Line 137:		Line 137:
	Badness: 0.024445		Badness: 0.024445

	~~[[Category:Theory]]~~
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Maquila]]		[[Category:Maquila]]
	[[Category:Rank 2]]		[[Category:Rank 2]]

Xenllium at 07:52, 21 March 2022

2022-03-21T07:52:19Z

← Older revision		Revision as of 07:52, 21 March 2022
Line 1:		Line 1:
	The maquila family tempers out the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\|49 -6 -17}}.		The maquila family tempers out the [[maquila comma]], 562949953421312/556182861328125 = {{monzo\|49 -6 -17}}.

	== Maquila ==		== Maquila ==
			Subgroup: 2.3.5

	[[Comma]]: 562949953421312/556182861328125		[[Comma]]: 562949953421312/556182861328125

Line 12:		Line 14:
	[[Badness]]: 0.472510		[[Badness]]: 0.472510

	=== 7-limit ===		=== 7-limit ===
			Subgroup: 2.3.5.7

	[[Comma list]]: 225/224, 30233088/28824005		[[Comma list]]: 225/224, 30233088/28824005

Line 25:		Line 29:
	[[Badness]]: 0.232430		[[Badness]]: 0.232430

	=== 11-limit ===		=== 11-limit ===
			Subgroup: 2.3.5.7.11

	Comma list: 99/98, 176/175, 73728/73205		Comma list: 99/98, 176/175, 73728/73205

Line 32:		Line 38:
	POTE generator: ~15/11 = 535.321		POTE generator: ~15/11 = 535.321

	~~Vals~~: {{Val list\| 9, 56d, 65d }}		Optimal GPV sequence: {{Val list\| 9, 56d, 65d }}

	Badness: 0.072550		Badness: 0.072550

	=== 13-limit ===		=== 13-limit ===
			Subgroup: 2.3.5.7.11.13

	Comma list: 99/98, 144/143, 176/175, 847/845		Comma list: 99/98, 144/143, 176/175, 847/845

Line 43:		Line 51:
	POTE generator: ~15/11 = 535.298		POTE generator: ~15/11 = 535.298

	~~Vals~~: {{Val list\| 9, 56df, 65d, 139df, 204ddff }}		Optimal GPV sequence: {{Val list\| 9, 56df, 65d, 139df, 204ddff }}

	Badness: 0.042198		Badness: 0.042198

	== Maquiloid ==		== Maquiloid ==
			Subgroup: 2.3.5.7

	[[Comma list]]: 686/675, 65625/65536		[[Comma list]]: 686/675, 65625/65536

Line 60:		Line 70:
	[[Badness]]: 0.188977		[[Badness]]: 0.188977

	=== 11-limit ===		=== 11-limit ===
			Subgroup: 2.3.5.7.11

	Comma list: 245/242, 385/384, 686/675		Comma list: 245/242, 385/384, 686/675

Line 67:		Line 79:
	POTE generator: ~15/11 = 535.485		POTE generator: ~15/11 = 535.485

	~~Vals~~: {{Val list\| 9, 38be, 47b, 56, 65, 121d, 186dde }}		Optimal GPV sequence: {{Val list\| 9, 38be, 47b, 56, 65, 121d, 186dde }}

	Badness: 0.066234		Badness: 0.066234

	=== 13-limit ===		=== 13-limit ===
			Subgroup: 2.3.5.7.11.13

	Comma list: 91/90, 169/168, 245/242, 385/384		Comma list: 91/90, 169/168, 245/242, 385/384

Line 78:		Line 92:
	POTE generator: ~15/11 = 535.501		POTE generator: ~15/11 = 535.501

	~~Vals~~: {{Val list\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}		Optimal GPV sequence: {{Val list\| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}

	Badness: 0.041850		Badness: 0.041850

	== Hemimaquila ==		== Hemimaquila ==
			Subgroup: 2.3.5.7

	[[Comma list]]: 6144/6125, 184528125/184473632		[[Comma list]]: 6144/6125, 184528125/184473632

Line 95:		Line 111:
	[[Badness]]: 0.111465		[[Badness]]: 0.111465

	=== 11-limit ===		=== 11-limit ===
			Subgroup: 2.3.5.7.11

	Comma list: 540/539, 5632/5625, 12005/11979		Comma list: 540/539, 5632/5625, 12005/11979

Line 102:		Line 120:
	POTE generator: ~7/6 = 267.717		POTE generator: ~7/6 = 267.717

	~~Vals~~: {{Val list\| 9, 121, 130, 251e, 381e }}		Optimal GPV sequence: {{Val list\| 9, 121, 130, 251e, 381e }}

	Badness: 0.047440		Badness: 0.047440

	=== 13-limit ===		=== 13-limit ===
			Subgroup: 2.3.5.7.11.13

	Comma list: 364/363, 540/539, 676/675, 3584/3575		Comma list: 364/363, 540/539, 676/675, 3584/3575

Line 113:		Line 133:
	POTE generator: ~7/6 = 267.719		POTE generator: ~7/6 = 267.719

	~~Vals~~: {{Val list\| 9, 121, 130, 251e, 381e }}		Optimal GPV sequence: {{Val list\| 9, 121, 130, 251e, 381e }}

	Badness: 0.024445		Badness: 0.024445

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

2022-02-28T17:16:56Z

Moving from Category:Temperament family to Category:Temperament families using Cat-a-lot

← Older revision		Revision as of 17:16, 28 February 2022
Line 118:		Line 118:

	[[Category:Theory]]		[[Category:Theory]]
	[[Category:Temperament ~~family~~]]		[[Category:Temperament families]]
	[[Category:Maquila]]		[[Category:Maquila]]
	[[Category:Rank 2]]		[[Category:Rank 2]]