The Forge - Revision history

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

2025-11-27T12:21:19Z

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

← Older revision		Revision as of 12:21, 27 November 2025
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	* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"		* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~

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

2025-06-24T00:27:31Z

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

← Older revision		Revision as of 00:27, 24 June 2025
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	* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"		* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
			[[Category:Pages with mostly numerical content]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:28:16Z

← Older revision		Revision as of 14:28, 13 April 2025
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			{{Technical data page}}
	'''The Forge''' is a collection of temperaments of temperaments, including subgroup temperaments, that all temper out the [[forge comma]] – the unnoticeable comma with the ratio 1640558367/1638400000, and a monzo of {{monzo\|-19 14 -5 3}}. This collection of mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.		'''The Forge''' is a collection of temperaments of temperaments, including subgroup temperaments, that all temper out the [[forge comma]] – the unnoticeable comma with the ratio 1640558367/1638400000, and a monzo of {{monzo\|-19 14 -5 3}}. This collection of mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.

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

2023-05-07T18:30:53Z

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

← Older revision		Revision as of 18:30, 7 May 2023
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	[[Tuning ranges]]:		[[Tuning ranges]]:

	{{~~Val list~~\|legend=1\| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}		{{Optimal ET sequence\|legend=1\| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}

	[[Badness]]: 0.718 × 10<sup>-3</sup>		[[Badness]]: 0.718 × 10<sup>-3</sup>

	==== Eleven limit children ====		==== Eleven limit children ====
	The next comma of the [[Normal lists #Normal ~~interval list~~\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:		The next comma of the [[Normal lists #Normal interOptimal ET sequence\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:

	* [[385/384]], leading to the 113 & 125 & 159 temperament		* [[385/384]], leading to the 113 & 125 & 159 temperament

BudjarnLambeth: Categorised this uncategorised page

2023-04-27T00:53:42Z

Categorised this uncategorised page

← Older revision		Revision as of 00:53, 27 April 2023
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	* [[6250/6237]], leading to the 12 & 34p & 159 temperament- named "Ring"		* [[6250/6237]], leading to the 12 & 34p & 159 temperament- named "Ring"
	* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"		* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"
			[[Category:Temperament collections]]

Aura at 22:23, 30 September 2022

2022-09-30T22:23:57Z

← Older revision		Revision as of 22:23, 30 September 2022
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	* [[441/440]], leading to the 12 & 46 & 113 temperament		* [[441/440]], leading to the 12 & 46 & 113 temperament
	* [[2835/2816]], leading to the 12 & 34p & 113 temperament		* [[2835/2816]], leading to the 12 & 34p & 113 temperament
	* [[6250/6237]], leading to the 12 & 34p & 159 temperament		* [[6250/6237]], leading to the 12 & 34p & 159 temperament- named "Ring"
	* [[8019/8000]], leading to the 46 & 58 & 125 temperament		* [[8019/8000]], leading to the 46 & 58 & 125 temperament- named "Trimmer"

Aura at 17:16, 1 September 2022

2022-09-01T17:16:35Z

← Older revision		Revision as of 17:16, 1 September 2022
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	== Forge ==		=== Forge ===
	The parent temperament of this whole collection is a rank-3 temperament.		The parent temperament of this whole collection is a rank-3 temperament.

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	[[Badness]]: 0.718 × 10<sup>-3</sup>		[[Badness]]: 0.718 × 10<sup>-3</sup>

	=== Eleven limit children ===		==== Eleven limit children ====
	The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:		The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:

Aura at 18:28, 14 July 2022

2022-07-14T18:28:49Z

← Older revision		Revision as of 18:28, 14 July 2022
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	The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:		The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:

			* [[385/384]], leading to the 113 & 125 & 159 temperament
	* [[441/440]], leading to the 12 & 46 & 113 temperament		* [[441/440]], leading to the 12 & 46 & 113 temperament
			* [[2835/2816]], leading to the 12 & 34p & 113 temperament
	* [[6250/6237]], leading to the 12 & 34p & 159 temperament		* [[6250/6237]], leading to the 12 & 34p & 159 temperament
	* [[8019/8000]], leading to the 46 & 58 & 125 temperament		* [[8019/8000]], leading to the 46 & 58 & 125 temperament

Aura at 17:58, 14 July 2022

2022-07-14T17:58:53Z

← Older revision		Revision as of 17:58, 14 July 2022
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	The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:		The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:

	* [[243/242]], leading to the 34p & 58 & 113 temperament
	* [[441/440]], leading to the 12 & 46 & 113 temperament		* [[441/440]], leading to the 12 & 46 & 113 temperament
	* [[6250/6237]], leading to the 12 & 34p & 159 temperament		* [[6250/6237]], leading to the 12 & 34p & 159 temperament
	* [[8019/8000]], leading to the 46 & 58 & 125 temperament		* [[8019/8000]], leading to the 46 & 58 & 125 temperament

Aura at 17:50, 14 July 2022

2022-07-14T17:50:26Z

← Older revision		Revision as of 17:50, 14 July 2022
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	'''The Forge''' is a collection of temperaments of ~~different ranks~~, including subgroup temperaments, that all temper out the [[forge comma]] – the unnoticeable comma with the ratio 1640558367/1638400000, and a monzo of {{monzo\|-19 14 -5 3}}. This collection of temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.		'''The Forge''' is a collection of temperaments of temperaments, including subgroup temperaments, that all temper out the [[forge comma]] – the unnoticeable comma with the ratio 1640558367/1638400000, and a monzo of {{monzo\|-19 14 -5 3}}. This collection of mostly rank-3 temperaments provides the foundation for multiple 11-limit and 13-limit temperament families.

	== Rank-3 temperaments ==		== Rank-3 temperaments ==


			== Forge ==
	The parent temperament of this whole collection is a rank-3 temperament.		The parent temperament of this whole collection is a rank-3 temperament.

	~~=== Forge ===~~

	Subgroup: 2.3.5.7		Subgroup: 2.3.5.7
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	Mapping generators: ~2, ~3, ~1701/1600		Mapping generators: ~2, ~3, ~1701/1600

			[[Tuning ranges]]:

	{{Val list\|legend=1\| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}		{{Val list\|legend=1\| 9c, 12, 34, 46, 58, 104c, 113, 125, 159, 171, 742, 913, 1084, 1255, 2681d, 2864, 3035, 3206, 3377, 4290d, 4461bd }}
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	[[Badness]]: 0.718 × 10<sup>-3</sup>		[[Badness]]: 0.718 × 10<sup>-3</sup>

	~~From here, this temperament has different~~ 11-limit ~~extensions~~.		=== Eleven limit children ===
			The next comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 11-limit family member we are looking at. Some of the options are:

			* [[243/242]], leading to the 34p & 58 & 113 temperament
			* [[441/440]], leading to the 12 & 46 & 113 temperament
			* [[6250/6237]], leading to the 12 & 34p & 159 temperament
			* [[8019/8000]], leading to the 46 & 58 & 125 temperament