Passion family - Revision history

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

2025-11-27T12:27:18Z

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

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

FloraC: + overview to extensions

2025-08-22T13:55:42Z

+ overview to extensions

← Older revision		Revision as of 13:55, 22 August 2025
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	[[Badness]] (Sintel): 3.95		[[Badness]] (Sintel): 3.95

			=== Overview to extensions ===
			The second comma of the comma list defines which 7-limit family member we are looking at:
			* Septimal passion adds [[64/63]];
			* Passionate adds [[126/125]];
			* Passive adds [[225/224]].

			Those all use the same nominal generator as passion.

			The only weak extension we are considering is freivald, which adds [[6144/6125]] to the comma list and splits the generator in two.

	== Septimal passion ==		== Septimal passion ==

FloraC: /* Freivald */ correct copy error

2025-08-22T13:50:20Z

Freivald: correct copy error

← Older revision		Revision as of 13:50, 22 August 2025
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	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[WE]]: ~2 = 1198.4021{{c}}, ~48/35 = 550.2038{{c}}		* [[WE]]: ~2 = 1198.4021{{c}}, ~48/35 = 550.2038{{c}}
	: [[error map]]: {{val\| -4.~~645 -3~~.~~378~~ -~~1.897 +20~~.~~386~~ }}		: [[error map]]: {{val\| -1.598 +4.877 +2.468 -7.371 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.8980{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.8980{{c}}
	: error map: {{val\| 0.000 +3.~~200~~ +9.~~562 +33~~.~~236~~ }}		: error map: {{val\| 0.000 +7.025 +6.502 -3.559 }}

	{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}		{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}

FloraC: + intro to each temp

2025-08-22T13:48:31Z

+ intro to each temp

← Older revision		Revision as of 13:48, 22 August 2025
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	== Passion ==		== Passion ==
			Passion is generated by a ~16/15 semitone, five of which reach a ~4/3 perfect fourth; its [[ploidacot]] is omega-pentacot. It follows that both 3 and 5 should be tuned sharp. [[73edo]] does this and may be recommended as a tuning.

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5

Line 22:		Line 24:

	== Septimal passion ==		== Septimal passion ==
			Septimal passion tempers out 64/63, the archytas comma, connecting itself to the [[archytas clan]]. It may be described as the 12 & 49 temperament. The interval class of 7 is found by exactly 10 generator steps, which calls for a flatter tuning of the fourth, and [[49edo]] may be recommended as a tuning.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Passionate ==		== Passionate ==
			Passionate tempers out 126/125 and may be described as {{nowrap\| 12 & 73 }}. The optimum of this temperament is closer to its 5-limit counterpart's, but prime 7 is much more complex, at +22 generator steps away. 73edo and [[85edo]] in the 85c val are among the possible tunings.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Passive ==		== Passive ==
			This low-complexity extension tempers out 225/224 as well as [[256/245]]. Two generator steps represent ~[[8/7]]. As one might expect, 12edo is about as accurate as it can be tuned.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

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	== Freivald ==		== Freivald ==
			Freivald splits the [[octave complement]] of the semitone generator of passion in two, each of which is used for ~11/8. It may be described as {{nowrap\| 24 & 37 }}; its ploidacot is delta-decacot. [[61edo]] may be recommended as a tuning.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: - POTE tunings

2025-08-22T13:33:01Z

- POTE tunings

← Older revision		Revision as of 13:33, 22 August 2025
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7335{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7335{{c}}
	: error map: {{val\| 0.000 +4.378 +8.620 }}		: error map: {{val\| 0.000 +4.378 +8.620 }}
	~~<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.670{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 49, 61, 73, 231bccc }}		{{Optimal ET sequence\|legend=1\| 12, 49, 61, 73, 231bccc }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.1019{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.1019{{c}}
	: error map: {{val\| 0.000 +7.535 +6.094 +12.193 }}		: error map: {{val\| 0.000 +7.535 +6.094 +12.193 }}
	~~<!-- [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.153{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 37, 49, 110bcd }}		{{Optimal ET sequence\|legend=1\| 12, 37, 49, 110bcd }}
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	* WE: ~2 = 1196.9304{{c}}, ~21/20 = 97.7686{{c}}		* WE: ~2 = 1196.9304{{c}}, ~21/20 = 97.7686{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.9333{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.9333{{c}}
	~~<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.019{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12, 37, 49 }}		{{Optimal ET sequence\|legend=0\| 12, 37, 49 }}
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	* WE: ~2 = 1196.8712{{c}}, ~21/20 = 97.6548{{c}}		* WE: ~2 = 1196.8712{{c}}, ~21/20 = 97.6548{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.8141{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~21/20 = 97.8141{{c}}
	~~<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 97.910{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12f, 25f, 37, 49f }}		{{Optimal ET sequence\|legend=0\| 12f, 25f, 37, 49f }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7770{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.7770{{c}}
	: error map: {{val\| 0.000 +4.160 +8.794 +4.269 }}		: error map: {{val\| 0.000 +4.160 +8.794 +4.269 }}
	~~<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.817{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 12, 49d, 61, 73, 85c }}		{{Optimal ET sequence\|legend=1\| 12, 49d, 61, 73, 85c }}
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	* WE: ~2 = 1197.8835{{c}}, ~16/15 = 98.5469{{c}}		* WE: ~2 = 1197.8835{{c}}, ~16/15 = 98.5469{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.6733{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.6733{{c}}
	~~<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.721{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12, 49de, 61, 73, 158bccee }}		{{Optimal ET sequence\|legend=0\| 12, 49de, 61, 73, 158bccee }}
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	* WE: ~2 = 1197.8309{{c}}, ~16/15 = 98.4485{{c}}		* WE: ~2 = 1197.8309{{c}}, ~16/15 = 98.4485{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.5760{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.5760{{c}}
	~~<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.627{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12f, 49de, 61, 73f }}		{{Optimal ET sequence\|legend=0\| 12f, 49de, 61, 73f }}
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	* WE: ~2 = 1197.8306{{c}}, ~16/15 = 98.6124{{c}}		* WE: ~2 = 1197.8306{{c}}, ~16/15 = 98.6124{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.7468{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~16/15 = 98.7468{{c}}
	~~<!-- * POTE: ~2 = 1200.000{{c}}, ~16/15 = 98.791{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 12f, 73, 85ce }}		{{Optimal ET sequence\|legend=0\| 12f, 73, 85ce }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.9690{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~16/15 = 98.9690{{c}}
	: error map: {{val\| 0.000 +3.200 +9.562 +33.236 }}		: error map: {{val\| 0.000 +3.200 +9.562 +33.236 }}
	~~<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~16/15 = 98.809{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 1, 11, 12 }}		{{Optimal ET sequence\|legend=1\| 1, 11, 12 }}
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	* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.8980{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.8980{{c}}
	: error map: {{val\| 0.000 +3.200 +9.562 +33.236 }}		: error map: {{val\| 0.000 +3.200 +9.562 +33.236 }}
	~~<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~48/35 = 550.9374{{c}} -->~~

	{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}		{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}
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	* WE: ~2 = 1198.8053{{c}}, ~11/8 = 550.3522{{c}}		* WE: ~2 = 1198.8053{{c}}, ~11/8 = 550.3522{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8760{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8760{{c}}
	~~<!-- * POTE: ~2 = 1200.0000{{c}}, ~11/8 = 550.9007{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 13d, 24, 37, 61 }}		{{Optimal ET sequence\|legend=0\| 13d, 24, 37, 61 }}
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	* WE: ~2 = 1198.7706{{c}}, ~11/8 = 550.3418{{c}}		* WE: ~2 = 1198.7706{{c}}, ~11/8 = 550.3418{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8892{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~11/8 = 550.8892{{c}}
	~~<!-- * POTE: ~2 = 1200.0000{{c}}, ~11/8 = 550.9062{{c}} -->~~

	{{Optimal ET sequence\|legend=0\| 13d, 24, 37, 61 }}		{{Optimal ET sequence\|legend=0\| 13d, 24, 37, 61 }}

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

2025-08-22T13:32:24Z

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

Show changes

FloraC: Units. Misc. cleanup

2025-08-22T12:07:52Z

Units. Misc. cleanup

← Older revision		Revision as of 12:07, 22 August 2025
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	{{Technical data page}}		{{Technical data page}}
	The '''passion family''' [[tempering out\|tempers out]] the [[passion comma]], 262144/253125 = {{monzo\| 18 -4 -5 }} in the 5-limit, which equates five instances of [[16/15]] with [[4/3]].		The '''passion family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[passion comma]], 262144/253125 ({{monzo\| 18 -4 -5 }}) in the [[5-limit]], which equates five instances of [[16/15]] with [[4/3]].

	== Passion ==		== Passion ==
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	: mapping generators: ~2, ~16/15		: mapping generators: ~2, ~16/15

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~16/15 = 98.670		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.670{{c}}

	{{Optimal ET sequence\|legend=1\| 12, 49, 61, 73 }}		{{Optimal ET sequence\|legend=1\| 12, 49, 61, 73 }}

	[[Badness]]: 0.168550		[[Badness]] (Smith): 0.168550

	== Septimal passion ==		== Septimal passion ==
Line 24:		Line 24:
	{{Mapping\|legend=1\| 1 2 2 2 \| 0 -5 4 10 }}		{{Mapping\|legend=1\| 1 2 2 2 \| 0 -5 4 10 }}

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~16/15 = 98.153		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.153{{c}}

	{{Optimal ET sequence\|legend=1\| 12, 37, 49, 110bcd }}		{{Optimal ET sequence\|legend=1\| 12, 37, 49, 110bcd }}

	[[Badness]]: 0.062327		[[Badness]] (Smith): 0.062327

	=== 11-limit ===		=== 11-limit ===
Line 37:		Line 37:
	Mapping: {{mapping\| 1 2 2 2 2 \| 0 -5 4 10 18 }}		Mapping: {{mapping\| 1 2 2 2 2 \| 0 -5 4 10 18 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~16/15 = 98.019		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.019{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 12, 37, 49 }}		Optimal ET sequence: {{Optimal ET sequence\| 12, 37, 49 }}

	Badness: 0.040809		Badness (Smith): 0.040809

	=== 13-limit ===		=== 13-limit ===
Line 50:		Line 50:
	Mapping: {{mapping\| 1 2 2 2 2 2 \| 0 -5 4 10 18 21 }}		Mapping: {{mapping\| 1 2 2 2 2 2 \| 0 -5 4 10 18 21 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~16/15 = 97.910		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 97.910{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 12f, 25f, 37, 49f }}		Optimal ET sequence: {{Optimal ET sequence\| 12f, 25f, 37, 49f }}

	Badness: 0.030886		Badness (Smith): 0.030886

	== Passionate ==		== Passionate ==
Line 63:		Line 63:
	{{Mapping\|legend=1\| 1 2 2 1 \| 0 -5 4 22 }}		{{Mapping\|legend=1\| 1 2 2 1 \| 0 -5 4 22 }}

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~16/15 = 98.817		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.817{{c}}

	{{Optimal ET sequence\|legend=1\| 12, 61, 73, 85c }}		{{Optimal ET sequence\|legend=1\| 12, 61, 73, 85c }}

	[[Badness]]: 0.121293		[[Badness]] (Smith): 0.121293

	=== 11-limit ===		=== 11-limit ===
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	Mapping: {{mapping\| 1 2 2 1 1 \| 0 -5 4 22 30 }}		Mapping: {{mapping\| 1 2 2 1 1 \| 0 -5 4 22 30 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~16/15 = 98.721		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.721{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 12, 61, 73, 158bccee }}		Optimal ET sequence: {{Optimal ET sequence\| 12, 61, 73, 158bccee }}

	Badness: 0.068322		Badness (Smith): 0.068322

	==== 13-limit ====		==== 13-limit ====
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	Mapping: {{mapping\| 1 2 2 1 1 1 \| 0 -5 4 22 30 33 }}		Mapping: {{mapping\| 1 2 2 1 1 1 \| 0 -5 4 22 30 33 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~16/15 = 98.627		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.627{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 12f, 61, 73f }}		Optimal ET sequence: {{Optimal ET sequence\| 12f, 61, 73f }}

	Badness: 0.052302		Badness (Smith): 0.052302

	==== Pash ====		==== Pash ====
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	Mapping: {{mapping\| 1 2 2 1 1 0 \| 0 -5 4 22 30 45 }}		Mapping: {{mapping\| 1 2 2 1 1 0 \| 0 -5 4 22 30 45 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~16/15 = 98.791		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~16/15 = 98.791{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 12f, 61f, 73, 85ce }}		Optimal ET sequence: {{Optimal ET sequence\| 12f, 61f, 73, 85ce }}

	Badness: 0.056386		Badness (Smith): 0.056386

	== Passive ==		== Passive ==
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	{{Mapping\|legend=1\| 1 2 2 3 \| 0 -5 4 -2 }}		{{Mapping\|legend=1\| 1 2 2 3 \| 0 -5 4 -2 }}

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~16/15 = 98.809		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~16/15 = 98.809{{c}}

	{{Optimal ET sequence\|legend=1\| 1, 11, 12, 49dd }}		{{Optimal ET sequence\|legend=1\| 1, 11, 12, 49dd }}

	[[Badness]]: 0.075055		[[Badness]] (Smith): 0.075055

	== Freivald ==		== Freivald ==
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	: mapping generator: ~2, ~35/24		: mapping generator: ~2, ~35/24

	[[Optimal tuning]] ([[POTE]]): ~2 = ~~1\1~~, ~48/35 = 550.9374		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~48/35 = 550.9374{{c}}

	{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}		{{Optimal ET sequence\|legend=1\| 13d, 24, 37, 61, 98b }}

	[[Badness]]: 0.209095		[[Badness]] (Smith): 0.209095

	=== 11-limit ===		=== 11-limit ===
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	Mapping: {{mapping\| 1 7 -2 12 4 \| 0 -10 8 -17 -1 }}		Mapping: {{mapping\| 1 7 -2 12 4 \| 0 -10 8 -17 -1 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~11/8 = 550.9007		Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~11/8 = 550.9007{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 13d, 24, 37, 61 }}		Optimal ET sequence: {{Optimal ET sequence\| 13d, 24, 37, 61 }}

	Badness: 0.077504		Badness (Smith): 0.077504

	=== 13-limit ===		=== 13-limit ===
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	Mapping: {{mapping\| 1 7 -2 12 4 1 \| 0 -10 8 -17 -1 5 }}		Mapping: {{mapping\| 1 7 -2 12 4 1 \| 0 -10 8 -17 -1 5 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~11/8 = 550.9062		Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~11/8 = 550.9062{{c}}

	Optimal ET sequence: {{Optimal ET sequence\| 13d, 24, 37, 61 }}		Optimal ET sequence: {{Optimal ET sequence\| 13d, 24, 37, 61 }}

	Badness: 0.045864		Badness (Smith): 0.045864

	[[Category:Temperament families]]		[[Category:Temperament families]]

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

2025-06-24T00:27:51Z

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

← Older revision		Revision as of 00:27, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Passion family\| ]] <!-- main article -->		[[Category:Passion family\| ]] <!-- main article -->
	[[Category:Passion\| ]] <!-- key article -->		[[Category:Passion\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:42, 12 June 2025

2025-06-12T04:42:08Z

← Older revision		Revision as of 04:42, 12 June 2025
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	{{Mapping\|legend=1\| 1 2 2 2 \| 0 -5 4 10 }}		{{Mapping\|legend=1\| 1 2 2 2 \| 0 -5 4 10 }}

	~~{{Multival\|legend=1\| 5 -4 -10 -18 -30 -12 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 98.153		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 98.153
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	{{Mapping\|legend=1\| 1 2 2 1 \| 0 -5 4 22 }}		{{Mapping\|legend=1\| 1 2 2 1 \| 0 -5 4 22 }}

	~~{{Multival\|legend=1\| 5 -4 -22 -18 -49 -40 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 98.817		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 98.817

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

" to "{{Technical data page}}"

2025-04-13T13:45:22Z

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

← Older revision		Revision as of 13:45, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''passion family''' [[tempering out\|tempers out]] the [[passion comma]], 262144/253125 = {{monzo\| 18 -4 -5 }} in the 5-limit, which equates five instances of [[16/15]] with [[4/3]].		The '''passion family''' [[tempering out\|tempers out]] the [[passion comma]], 262144/253125 = {{monzo\| 18 -4 -5 }} in the 5-limit, which equates five instances of [[16/15]] with [[4/3]].