User:BudjarnLambeth/Possible convention for temperament pages - Revision history

BudjarnLambeth: Changed KE to CWE for now because the contents of "Dave Keenan & Douglas Blumeyer's guide to RTT: alternative complexities" contradict what I've heard from Mike, and it looks like there's been confusion about what exactly KE corresponds to for a long time, so for now I'll just stick with CWE to be safe.

2024-03-21T02:36:37Z

Changed KE to CWE for now because the contents of "Dave Keenan & Douglas Blumeyer's guide to RTT: alternative complexities" contradict what I've heard from Mike, and it looks like there's been confusion about what exactly KE corresponds to for a long time, so for now I'll just stick with CWE to be safe.

← Older revision		Revision as of 02:36, 21 March 2024
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	(This is a proposal only, it is not ~~yet~~ an actual convention~~, do not do this yet~~.)		(This is a proposal only, it is not an actual convention at the moment.)

	== 1 tuning ==		== 1 tuning ==
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	List all tunings in a dot point list.		List all tunings in a dot point list.

	If KE tuning is available, list it first.		If CWE tuning is available, list it first.

	List pure-octave tunings first and tempered-octave tunings last.		List pure-octave tunings first and tempered-octave tunings last.
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	Optimal tunings:		Optimal tunings:
	* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982		* [[CWE]]: ~2 = 1200.0, ~3/2 = 696.982
	* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003		* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
	* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761		* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761
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	List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).		List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).

	KE and TE should always be included in the plain dot point list if you know them.		CWE and TE should always be included in the plain dot point list if you know them.

	Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.		Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.
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	Optimal tunings:		Optimal tunings:
	* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982		* [[CWE]]: ~2 = 1200.0, ~3/2 = 696.982
	* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761		* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761

BudjarnLambeth at 02:18, 20 March 2024

2024-03-20T02:18:26Z

← Older revision		Revision as of 02:18, 20 March 2024
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	Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format.		Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format.

	Examples:		=== Examples ===

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

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	Badness: 0.019982		Badness: 0.019982

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

Line 47:		Line 47:
	Do not remove a tuning and add your own - instead, if you want to add more, follow the "4+ tunings" format.		Do not remove a tuning and add your own - instead, if you want to add more, follow the "4+ tunings" format.

	Examples:		=== Examples ===

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

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	Badness: 0.019982		Badness: 0.019982

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

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	Do not remove any other tunings that are already listed, just move them to the databox.		Do not remove any other tunings that are already listed, just move them to the databox.

	Examples:		=== Examples ===

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

Line 114:		Line 114:
	}}		}}

	=== Huygens ===		==== Huygens ====
	Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

BudjarnLambeth: /* 4+ tunings */

2024-03-20T02:11:31Z

4+ tunings

← Older revision		Revision as of 02:11, 20 March 2024
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	List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).		List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).

	KE and TE should always be included in the plain dot point list ~~when they are available~~.		KE and TE should always be included in the plain dot point list if you know them.

	Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.		Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.

BudjarnLambeth: /* 2 or 3 tunings */

2024-03-20T02:10:29Z

2 or 3 tunings

← Older revision		Revision as of 02:10, 20 March 2024
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	List pure-octave tunings first and tempered-octave tunings last.		List pure-octave tunings first and tempered-octave tunings last.

	Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.		Do not remove a tuning and add your own - instead, if you want to add more, follow the "4+ tunings" format.

	Examples:		Examples:

BudjarnLambeth: /* 4+ tunings */

2024-03-20T00:56:46Z

4+ tunings

← Older revision		Revision as of 00:56, 20 March 2024
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	List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).		List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).

	KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings ~~first~~ and tempered-octave tunings ~~last~~.		KE and TE should always be included in the plain dot point list when they are available.

			Both lists should have pure-octave tunings at the top of the list and tempered-octave tunings at the bottom.

	Do not remove any other tunings that are already listed, just move them to the databox.		Do not remove any other tunings that are already listed, just move them to the databox.

BudjarnLambeth at 00:56, 20 March 2024

2024-03-20T00:56:09Z

@@ Line 110: / Line 110: @@
 * [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080
 * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
 }}

BudjarnLambeth at 00:50, 20 March 2024

2024-03-20T00:50:41Z

← Older revision		Revision as of 00:50, 20 March 2024
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	Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format.		Do not remove a tuning and add your own - instead, if you want to add one, follow the "2 tunings" format.

			Examples:

	=== Huygens ===		=== Huygens ===
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	Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.		Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.

			Examples:

	=== Huygens ===		=== Huygens ===
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	Optimal tunings:		Optimal tunings:
	* [[~~CTE~~]]: ~2 = 1200.0, ~3/2 = 696.~~9080~~		* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982
	* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003		* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
	* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761		* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761
Line 86:		Line 90:

	Do not remove any other tunings that are already listed, just move them to the databox.		Do not remove any other tunings that are already listed, just move them to the databox.

			Examples:

	=== Huygens ===		=== Huygens ===

BudjarnLambeth at 00:49, 20 March 2024

2024-03-20T00:49:20Z

← Older revision		Revision as of 00:49, 20 March 2024
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	Badness: 0.019982		Badness: 0.019982

	== 2 tunings ==		== 2 or 3 tunings ==
	List ~~both~~ tunings in a dot point list.		List all tunings in a dot point list.

	If KE tuning is available, list it first.		If KE tuning is available, list it first.
Line 62:		Line 62:
	Badness: 0.019982		Badness: 0.019982

	== 3+ tunings ==		=== Huygens ===
	List ~~1 or~~ 2 tunings in a plain dot point list. List ~~at least 2~~ other tunings below these, in a collapsible databox (collapsed by default).		Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth.

			Subgroup: 2.3.5.7.11.13.17

			Comma list: 66/65, 81/80, 99/98, 105/104, 120/119

			Mapping: {{mapping\| 1 0 -4 -13 -25 -20 12 \| 0 1 4 10 18 15 -5 }}

			Optimal tunings:
			* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080
			* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
			* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761

			{{Optimal ET sequence\|legend=1\| 12f, 31 }}

			Badness: 0.019982

			== 4+ tunings ==
			List 2 tunings in a plain dot point list. List all other tunings below these, in a collapsible databox (collapsed by default).

	KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings first and tempered-octave tunings last.		KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings first and tempered-octave tunings last.

BudjarnLambeth at 00:47, 20 March 2024

2024-03-20T00:47:36Z

@@ Line 86: / Line 86: @@
 * [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080
 * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
 }}

BudjarnLambeth: Additional suggested changes

2024-03-20T00:46:39Z

Additional suggested changes

← Older revision		Revision as of 00:46, 20 March 2024
Line 39:		Line 39:
	List both tunings in a dot point list.		List both tunings in a dot point list.

	If KE tuning is available, list it first. List pure-octave tunings first and tempered-octave tunings last.		If KE tuning is available, list it first.

			List pure-octave tunings first and tempered-octave tunings last.

	Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.		Do not remove a tuning and add your own - instead, if you want to add more, follow the "3+ tunings" format.
Line 61:		Line 63:

	== 3+ tunings ==		== 3+ tunings ==
	List 1 ~~to 3~~ tunings in a dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default).		List 1 or 2 tunings in a plain dot point list. List at least 2 other tunings below these, in a collapsible databox (collapsed by default).

	~~If one of~~ the tunings ~~is KE, list it~~ first.		KE and TE should always be included in the plain dot point list when they are available. Both lists should have pure-octave tunings first and tempered-octave tunings last.

	Do not remove any other tunings that are already listed, just move them to the databox.		Do not remove any other tunings that are already listed, just move them to the databox.
Line 78:		Line 80:
	Optimal tunings:		Optimal tunings:
	* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982		* [[KE]]: ~2 = 1200.0, ~3/2 = 696.982
			* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761

	{{Databox\|Other optimal tunings\|defaultstate=collapsed\|		{{Databox\|Other optimal tunings\|defaultstate=collapsed\|
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	* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080		* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080
	* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003		* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003
	* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761
	}}		}}