Septisemi temperaments - Revision history

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

2025-11-27T12:31:23Z

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

← Older revision		Revision as of 12:31, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Septisemi temperaments\| ]] <!-- main article -->		[[Category:Septisemi temperaments\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: - avila (moved to the misc page)

2025-11-19T14:48:32Z

- avila (moved to the misc page)

@@ Line 15: / Line 15: @@
 == Fluorine ==
-=== 5-limit (avila) ===
+: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Avila]].''
 [[Subgroup]]: 2.3.5.7
@@ Line 39: / Line 22: @@
 {{Mapping|legend=1| 1 0 -7 -5 | 0 1 6 5 }}
 [[Optimal tuning]]s:

FloraC: - CTE & POTE tunings

2025-11-19T14:46:01Z

- CTE & POTE tunings

← Older revision		Revision as of 14:46, 19 November 2025
Line 28:		Line 28:
	* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.474{{c}}		* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.474{{c}}
	: error map: {{val\| 0.000 -38.481 -5.472 }}		: error map: {{val\| 0.000 -38.481 -5.472 }}
	~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 666.499{{c}}~~
	~~: [[error map]]: {{val\| 0.000 -35.456 +12.682 }}~~
	* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 661.593{{c}}
	~~: error map: {{val\| 0.000 -40.362 -16.754 }} -->~~

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}
Line 49:		Line 45:
	* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 665.210{{c}}		* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 665.210{{c}}
	: error map: {{val\| 0.000 -36.745 +4.945 -42.777 }}		: error map: {{val\| 0.000 -36.745 +4.945 -42.777 }}
	~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 668.748{{c}}~~
	~~: [[error map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}~~
	* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.059{{c}}
	~~: error map: {{val\| 0.000 -38.896 -7.960 -53.531 }} -->~~

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}
Line 71:		Line 63:
	* [[CWE]]: ~2 = 1200.000{{c}}, ~7/6 = 322.210{{c}}		* [[CWE]]: ~2 = 1200.000{{c}}, ~7/6 = 322.210{{c}}
	: error map: {{val\| 0.000 -57.535 +24.737 -2.196 }}		: error map: {{val\| 0.000 -57.535 +24.737 -2.196 }}
	~~<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 325.425{{c}}~~
	~~: [[error map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}~~
	* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 320.182{{c}}
	~~: error map: {{val\| 0.000 -61.591 +14.597 -8.280 }} -->~~

	{{Optimal ET sequence\|legend=1\| 4, 11 }}		{{Optimal ET sequence\|legend=1\| 4, 11 }}

FloraC: Switch to Sintel's badness, WE & CWE tunings, per community consensus

2025-11-19T14:45:43Z

Switch to Sintel's badness, WE & CWE tunings, per community consensus

← Older revision		Revision as of 14:45, 19 November 2025
Line 24:		Line 24:

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 666.499{{c}}		* [[WE]]: ~2 = 1210.600{{c}}, ~3/2 = 667.437{{c}}
			: [[error map]]: {{val\| +10.600 -23.917 +7.711 }}
			* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.474{{c}}
			: error map: {{val\| 0.000 -38.481 -5.472 }}
			<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 666.499{{c}}
	: [[error map]]: {{val\| 0.000 -35.456 +12.682 }}		: [[error map]]: {{val\| 0.000 -35.456 +12.682 }}
	* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 661.593{{c}}		* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 661.593{{c}}
	: error map: {{val\| 0.000 -40.362 -16.754 }}		: error map: {{val\| 0.000 -40.362 -16.754 }} -->

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}

	[[Badness]] (~~Smith~~): 0.~~181941~~		[[Badness]] (Sintel): 4.27

	=== 7-limit ===		=== 7-limit ===
Line 41:		Line 45:

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 668.748{{c}}		* [[WE]]: ~2 = 1211.420{{c}}, ~3/2 = 669.369{{c}}
			: [[error map]]: {{val\| +11.420 -21.165 +18.481 -21.980 }}
			* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 665.210{{c}}
			: error map: {{val\| 0.000 -36.745 +4.945 -42.777 }}
			<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 668.748{{c}}
	: [[error map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}		: [[error map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}
	* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.059{{c}}		* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.059{{c}}
	: error map: {{val\| 0.000 -38.896 -7.960 -53.531 }}		: error map: {{val\| 0.000 -38.896 -7.960 -53.531 }} -->

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}

	[[Badness]] (~~Smith~~): 0.~~055623~~		[[Badness]] (Sintel): 1.41

	== Sodium ==		== Sodium ==
Line 59:		Line 67:

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 325.425{{c}}		* [[WE]]: ~2 = 1207.624{{c}}, ~7/6 = 322.216{{c}}
			: [[error map]]: {{val\| +7.624 -49.898 +32.393 +13.072 }}
			* [[CWE]]: ~2 = 1200.000{{c}}, ~7/6 = 322.210{{c}}
			: error map: {{val\| 0.000 -57.535 +24.737 -2.196 }}
			<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 325.425{{c}}
	: [[error map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}		: [[error map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}
	* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 320.182{{c}}		* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 320.182{{c}}
	: error map: {{val\| 0.000 -61.591 +14.597 -8.280 }}		: error map: {{val\| 0.000 -61.591 +14.597 -8.280 }} -->

	{{Optimal ET sequence\|legend=1\| 4, 11~~, 15b~~ }}		{{Optimal ET sequence\|legend=1\| 4, 11 }}

	[[Badness]] (~~Smith~~): 0.~~055814~~		[[Badness]] (Sintel): 1.41

	[[Category:Temperament collections]]		[[Category:Temperament collections]]

FloraC: Units & misc. cleanup

2025-11-19T14:39:13Z

Units & misc. cleanup

← Older revision		Revision as of 14:39, 19 November 2025
Line 7:		Line 7:
	* ''[[Pelogic]]'' (+135/128) → [[Mavila family #Pelogic\|Mavila family]]		* ''[[Pelogic]]'' (+135/128) → [[Mavila family #Pelogic\|Mavila family]]
	* ''[[Flattie]]'' (+25/24) → [[Dicot family #Flattie\|Dicot family]]		* ''[[Flattie]]'' (+25/24) → [[Dicot family #Flattie\|Dicot family]]
	* ''[[Beep]]'' (+27/25) → [[Bug family #Beep\|Bug family]]		* [[Beep]] (+27/25) → [[Bug family #Beep\|Bug family]]
	* ''[[Deflated]]'' (+128/125) → [[Augmented family #Deflated\|Augmented family]]		* ''[[Deflated]]'' (+128/125) → [[Augmented family #Deflated\|Augmented family]]
	* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]		* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]
Line 21:		Line 21:

	{{Mapping\|legend=1\| 1 0 -7 \| 0 1 6 }}		{{Mapping\|legend=1\| 1 0 -7 \| 0 1 6 }}
			: mapping generators: ~2, ~3
	: ~~Mapping~~ generators: ~2, ~3

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~3/2 = 666.499		* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 666.499{{c}}
	: [[~~Error~~ map]]: {{val\| 0.000 -35.456 +12.682 }}		: [[error map]]: {{val\| 0.000 -35.456 +12.682 }}
	* [[POTE]]: ~2 = 1200.000, ~3/2 = 661.593		* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 661.593{{c}}
	: ~~Error~~ map: {{val\| 0.000 -40.362 -16.754 }}		: error map: {{val\| 0.000 -40.362 -16.754 }}

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}
Line 42:		Line 41:

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~3/2 = 668.748		* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 668.748{{c}}
	: [[~~Error~~ map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}		: [[error map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}
	* [[POTE]]: ~2 = 1200.000, ~3/2 = 663.059		* [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.059{{c}}
	: ~~Error~~ map: {{val\| 0.000 -38.896 -7.960 -53.531 }}		: error map: {{val\| 0.000 -38.896 -7.960 -53.531 }}

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}
Line 57:		Line 56:

	{{Mapping\|legend=1\| 1 1 1 2 \| 0 2 5 3 }}		{{Mapping\|legend=1\| 1 1 1 2 \| 0 2 5 3 }}
			: mapping generators: ~2, ~7/6
	: ~~Mapping~~ generators: ~2, ~7/6

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~7/6 = 325.425		* [[CTE]]: ~2 = 1200.000{{c}}, ~7/6 = 325.425{{c}}
	: [[~~Error~~ map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}		: [[error map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}
	* [[POTE]]: ~2 = 1200.000, ~7/6 = 320.182		* [[POTE]]: ~2 = 1200.000{{c}}, ~7/6 = 320.182{{c}}
	: ~~Error~~ map: {{val\| 0.000 -61.591 +14.597 -8.280 }}		: error map: {{val\| 0.000 -61.591 +14.597 -8.280 }}

	{{Optimal ET sequence\|legend=1\| 4, 11, 15b }}		{{Optimal ET sequence\|legend=1\| 4, 11, 15b }}

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

2025-06-24T00:35:31Z

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

← Older revision		Revision as of 00:35, 24 June 2025
Line 71:		Line 71:

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Septisemi temperaments\| ]] <!-- main article -->		[[Category:Septisemi temperaments\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:39, 12 June 2025

2025-06-12T04:39:40Z

← Older revision		Revision as of 04:39, 12 June 2025
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	{{Mapping\|legend=1\| 1 0 -7 -5 \| 0 1 6 5 }}		{{Mapping\|legend=1\| 1 0 -7 -5 \| 0 1 6 5 }}

	~~{{Multival\|legend=1\| 1 6 5 7 5 -5 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
Line 61:		Line 59:

	: Mapping generators: ~2, ~7/6		: Mapping generators: ~2, ~7/6

	~~{{Multival\|legend=1\| 2 5 3 3 -1 -7 }}~~

	[[Optimal tuning]]s:		[[Optimal tuning]]s:

FloraC: Update linking

2025-06-06T15:51:33Z

Update linking

← Older revision		Revision as of 15:51, 6 June 2025
Line 10:		Line 10:
	* ''[[Deflated]]'' (+128/125) → [[Augmented family #Deflated\|Augmented family]]		* ''[[Deflated]]'' (+128/125) → [[Augmented family #Deflated\|Augmented family]]
	* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]		* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]
	* ''[[Oxygen]]'' (+175/162) → [[~~Porcupine family~~ #Oxygen\|~~Porcupine family~~]]		* ''[[Oxygen]]'' (+175/162) → [[Very low accuracy temperaments #Oxygen\|Very low accuracy temperaments]]

	Considered below are fluorine and sodium.		Considered below are fluorine and sodium.

Xenllium at 12:50, 18 May 2025

2025-05-18T12:50:16Z

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:37:10Z

← Older revision		Revision as of 14:37, 13 April 2025
Line 1:		Line 1:
	This is a collection of very low complexity temperaments tempering out the septimal minor semitone, [[21/20]], and hence equating 5/3 with 7/4, and 10/7 with 3/2.		{{Technical data page}}
			This is a collection of very low [[complexity]] temperaments [[tempering out]] the septimal minor semitone, [[21/20]], and hence equating 5/3 with 7/4, and 10/7 with 3/2.

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:

← Older revision		Revision as of 12:50, 18 May 2025
Line 8:		Line 8:
	* ''[[Flattie]]'' (+25/24) → [[Dicot family #Flattie\|Dicot family]]		* ''[[Flattie]]'' (+25/24) → [[Dicot family #Flattie\|Dicot family]]
	* ''[[Beep]]'' (+27/25) → [[Bug family #Beep\|Bug family]]		* ''[[Beep]]'' (+27/25) → [[Bug family #Beep\|Bug family]]
	* ''[[Deflated]]'' (+21/20) → [[Augmented family #Deflated\|Augmented family]]		* ''[[Deflated]]'' (+128/125) → [[Augmented family #Deflated\|Augmented family]]
	* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]		* ''[[Gidorah]]'' (+144/125) → [[Gamelismic clan #Gidorah\|Gamelismic clan]]
	* ''[[Oxygen]]'' (+175/162) → [[Porcupine family #Oxygen\|Porcupine family]]		* ''[[Oxygen]]'' (+175/162) → [[Porcupine family #Oxygen\|Porcupine family]]
Line 22:		Line 22:
	{{Mapping\|legend=1\| 1 0 -7 \| 0 1 6 }}		{{Mapping\|legend=1\| 1 0 -7 \| 0 1 6 }}

	: ~~mapping~~ generators: ~2, ~3		: Mapping generators: ~2, ~3

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~3/2 = 666.499		* [[CTE]]: ~2 = 1200.000, ~3/2 = 666.499
	: [[~~error~~ map]]: {{val\| 0.000 -35.456 +12.682 }}		: [[Error map]]: {{val\| 0.000 -35.456 +12.682 }}
	* [[POTE]]: ~2 = 1200.000, ~3/2 = 661.593		* [[POTE]]: ~2 = 1200.000, ~3/2 = 661.593
	: ~~error~~ map: {{val\| 0.000 -40.362 -16.754 }}		: Error map: {{val\| 0.000 -40.362 -16.754 }}

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20b, 29b }}
Line 45:		Line 45:
	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~3/2 = 668.748		* [[CTE]]: ~2 = 1200.000, ~3/2 = 668.748
	: [[~~error~~ map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}		: [[Error map]]: {{val\| 0.000 -33.207 +26.177 -25.084 }}
	* [[POTE]]: ~2 = 1200.000, ~3/2 = 663.059		* [[POTE]]: ~2 = 1200.000, ~3/2 = 663.059
	: ~~error~~ map: {{val\| 0.000 -38.896 -7.960 -53.531 }}		: Error map: {{val\| 0.000 -38.896 -7.960 -53.531 }}

	{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}		{{Optimal ET sequence\|legend=1\| 2c, 7c, 9, 20bdd, 29bdd }}
Line 60:		Line 60:
	{{Mapping\|legend=1\| 1 1 1 2 \| 0 2 5 3 }}		{{Mapping\|legend=1\| 1 1 1 2 \| 0 2 5 3 }}

	: ~~mapping~~ generators: ~2, ~7/6		: Mapping generators: ~2, ~7/6

	{{Multival\|legend=1\| 2 5 3 3 -1 -7 }}		{{Multival\|legend=1\| 2 5 3 3 -1 -7 }}
Line 66:		Line 66:
	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[CTE]]: ~2 = 1200.000, ~7/6 = 325.425		* [[CTE]]: ~2 = 1200.000, ~7/6 = 325.425
	: [[~~error~~ map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}		: [[Error map]]: {{val\| 0.000 -51.104 +40.813 +7.450 }}
	* [[POTE]]: ~2 = 1200.000, ~7/6 = 320.182		* [[POTE]]: ~2 = 1200.000, ~7/6 = 320.182
	: ~~error~~ map: {{val\| 0.000 -61.591 +14.597 -8.280 }}		: Error map: {{val\| 0.000 -61.591 +14.597 -8.280 }}

	{{Optimal ET sequence\|legend=1\| 4, 11, 15b }}		{{Optimal ET sequence\|legend=1\| 4, 11, 15b }}