Didymus rank-3 family - Revision history

FloraC: - complexity spectra (relocated to the main article for it)

2026-09-26T13:47:27Z

- complexity spectra (relocated to the main article for it)

← Older revision		Revision as of 13:47, 26 September 2026
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	[[Badness]] (Sintel): 1.02		[[Badness]] (Sintel): 1.02

	~~[[Complexity spectrum]]: 4/3, 10/9, 9/8, 6/5, 9/7, 7/5, 7/6, 5/4, 8/7, 11/9, 12/11, 11/8, 11/10, 14/11~~

	== Polyhymnia ==		== Polyhymnia ==

FloraC: Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

2026-09-24T12:33:43Z

Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

← Older revision		Revision as of 12:33, 24 September 2026
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	Comma list: 81/80, 105/104, 126/125		Comma list: 81/80, 105/104, 126/125

	~~Mapping:~~ {{~~mapping~~\| 1 0 -4 -13 0 -20 \| 0 1 4 10 0 15 \| 0 0 0 0 1 0 }}		{{Mapping\|legend=0\| 1 0 -4 -13 0 -20 \| 0 1 4 10 0 15 \| 0 0 0 0 1 0 }}

	Optimal tunings:		Optimal tunings:

FloraC: Recategorize

2026-08-14T11:55:12Z

Recategorize

← Older revision		Revision as of 11:55, 14 August 2026
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	== References ==		== References ==

	~~[[Category:Temperament families]]~~
	[[Category:Didymus rank-3 family\| ]] <!-- main article -->		[[Category:Didymus rank-3 family\| ]] <!-- main article -->
	[[Category:Didymus\| ]] <!-- key article -->		[[Category:Didymus\| ]] <!-- key article -->
	[[Category:~~Rank~~ 3]]		[[Category:Temperament families]]
			[[Category:Catalogs of rank-3 temperaments]]

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

2025-11-27T12:17:26Z

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

← Older revision		Revision as of 12:17, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Didymus rank-3 family\| ]] <!-- main article -->		[[Category:Didymus rank-3 family\| ]] <!-- main article -->
	[[Category:Didymus\| ]] <!-- key article -->		[[Category:Didymus\| ]] <!-- key article -->
	[[Category:Rank 3]]		[[Category:Rank 3]]

FloraC: Fix linking

2025-08-27T13:50:02Z

Fix linking

← Older revision		Revision as of 13:50, 27 August 2025
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	Temperaments discussed elsewhere include:		Temperaments discussed elsewhere include:
	* ''[[Urania]]'' (+243/242 or 121/120) → [[Rastmic rank ~~three~~ clan #Urania\|Rastmic rank ~~three~~ clan]]		* ''[[Urania]]'' (+243/242 or 121/120) → [[Rastmic rank-3 clan #Urania\|Rastmic rank-3 clan]]

	== Didymus ==		== Didymus ==

FloraC: - typo

2025-08-27T12:54:15Z

- typo

← Older revision		Revision as of 12:54, 27 August 2025
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	== Polyhymnia ==		== Polyhymnia ==
	Polyhymnia tempers out 385/38. It is another temperament related to meanpop.		Polyhymnia tempers out 385/384. It is another temperament related to meanpop.

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

FloraC: FloraC moved page Didymus rank three family to Didymus rank-3 family: For obvious reasons

2025-08-27T12:48:38Z

FloraC moved page Didymus rank three family to Didymus rank-3 family: For obvious reasons

← Older revision	Revision as of 12:48, 27 August 2025
(No difference)

FloraC: Sorting and + intro to each temp

2025-08-27T12:46:56Z

Sorting and + intro to each temp

Show changes

FloraC: - POTE tunings

2025-08-27T12:39:11Z

- POTE tunings

← Older revision		Revision as of 12:39, 27 August 2025
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.6512{{c}}, ~7/4 = 966.5654{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.6512{{c}}, ~7/4 = 966.5654{{c}}
	: error map: {{val\| 0.000 -5.304 +0.291 -2.261 }}		: error map: {{val\| 0.000 -5.304 +0.291 -2.261 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.2387{{c}}, ~7/4 = 964.9090{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 19, 31, 81, 112b, 143b }}		{{Optimal ET sequence\|legend=1\| 12, 19, 31, 81, 112b, 143b }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.5797{{c}}, ~7/4 = 969.7942{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.5797{{c}}, ~7/4 = 969.7942{{c}}
	: error map: {{val\| 0.000 -5.375 +0.005 +0.968 -4.889 }}		: error map: {{val\| 0.000 -5.375 +0.005 +0.968 -4.889 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.1982{{c}}, ~7/4 = 968.4280{{c}} -->~~

	[[Minimax tuning]]:		[[Minimax tuning]]:
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.9085{{c}}, ~7/4 = 965.3621{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.9085{{c}}, ~7/4 = 965.3621{{c}}
	: error map: {{val\| 0.000 -8.047 -10.680 -3.464 +12.133 }}		: error map: {{val\| 0.000 -8.047 -10.680 -3.464 +12.133 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.1982{{c}}, ~7/4 = 968.4280{{c}} -->~~

	[[Minimax tuning]]:		[[Minimax tuning]]:
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.6562{{c}}, ~11/8 = 548.5396{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.6562{{c}}, ~11/8 = 548.5396{{c}}
	: error map: {{val\| 0.000 -5.299 +0.311 -2.264 -2.778 }}		: error map: {{val\| 0.000 -5.299 +0.311 -2.264 -2.778 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.4949{{c}}, ~11/8 = 547.0252{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 19, 31, 50, 81, 112b }}		{{Optimal ET sequence\|legend=1\| 12, 19, 31, 50, 81, 112b }}
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	* WE: ~2 = 1201.6213{{c}}, ~3/2 = 696.9287{{c}}, ~11/8 = 546.4190{{c}}		* WE: ~2 = 1201.6213{{c}}, ~3/2 = 696.9287{{c}}, ~11/8 = 546.4190{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 696.1573{{c}}, ~11/8 = 547.5865{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 696.1573{{c}}, ~11/8 = 547.5865{{c}}
	~~<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 695.9883{{c}}, ~11/8 = 545.6817{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12f, 19, 31, 50, 69de, 81, 119bdde }}		{{Optimal ET sequence\|legend=0\| 12f, 19, 31, 50, 69de, 81, 119bdde }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 697.3350{{c}}, ~7/4 = 969.0152{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 697.3350{{c}}, ~7/4 = 969.0152{{c}}
	: error map: {{val\| 0.000 -4.620 +3.026 +0.189 -3.622 }}		: error map: {{val\| 0.000 -4.620 +3.026 +0.189 -3.622 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 697.2502{{c}}, ~7/4 = 968.6295{{c}} -->~~

	[[Minimax tuning]]:		[[Minimax tuning]]:
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.3248{{c}}, ~7/4 = 964.8389{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.3248{{c}}, ~7/4 = 964.8389{{c}}
	: error map: {{val\| 0.000 -5.630 -1.014 -3.987 -5.131 }}		: error map: {{val\| 0.000 -5.630 -1.014 -3.987 -5.131 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.2305{{c}}, ~7/4 = 964.8695{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 7, 12e, 19, 24, 26, 31, 81, 112b }}		{{Optimal ET sequence\|legend=1\| 7, 12e, 19, 24, 26, 31, 81, 112b }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.1206{{c}}, ~7/4 = 955.1393{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 693.1206{{c}}, ~7/4 = 955.1393{{c}}
	: error map: {{val\| 0.000 -8.834 -13.831 -13.687 -44.439 }}		: error map: {{val\| 0.000 -8.834 -13.831 -13.687 -44.439 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 692.0796{{c}}, ~7/4 = 950.2565{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 5, 7, 12e, 14c, 19e, 33cdee, 52cdeee }}		{{Optimal ET sequence\|legend=1\| 5, 7, 12e, 14c, 19e, 33cdee, 52cdeee }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.9964{{c}}, ~7/4 = 962.5723{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 698.9964{{c}}, ~7/4 = 962.5723{{c}}
	: error map: {{val\| 0.000 -2.959 +9.672 -6.254 +15.269 }}		: error map: {{val\| 0.000 -2.959 +9.672 -6.254 +15.269 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 699.2230{{c}}, ~7/4 = 964.2363{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 17c, 19, 24, 31e, 36 }}		{{Optimal ET sequence\|legend=1\| 12, 17c, 19, 24, 31e, 36 }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.7166{{c}}, ~7/4 = 964.9479{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.7166{{c}}, ~7/4 = 964.9479{{c}}
	: error map: {{val\| 0.000 -5.238 +0.553 -3.878 -4.197 }}		: error map: {{val\| 0.000 -5.238 +0.553 -3.878 -4.197 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.2358{{c}}, ~7/4 = 964.0006{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12e, 14c, 17c, 19, 31, 81, 112b }}		{{Optimal ET sequence\|legend=1\| 12e, 14c, 17c, 19, 31, 81, 112b }}

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

2025-08-27T12:38:35Z

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

Show changes