Countercomp family - Revision history

Xenllium at 11:20, 25 February 2026

2026-02-25T11:20:31Z

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

2025-11-27T12:24:11Z

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

← Older revision		Revision as of 12:24, 27 November 2025
Line 150:		Line 150:

	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Countercomp family\| ]] <!-- main article -->		[[Category:Countercomp family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-06-24T00:29:47Z

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

← Older revision		Revision as of 00:29, 24 June 2025
Line 150:		Line 150:

	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Countercomp family\| ]] <!-- main article -->		[[Category:Countercomp family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:43, 12 June 2025

2025-06-12T04:43:15Z

← Older revision		Revision as of 04:43, 12 June 2025
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	[[Mapping]]: [{{val\| 41 65 0 115 }}, {{val\| 0 0 1 0 }}]		[[Mapping]]: [{{val\| 41 65 0 115 }}, {{val\| 0 0 1 0 }}]

	~~{{Multival\|legend=1\| 0 41 0 65 0 -115 }}~~

	[[Optimal tuning]] ([[POTE]]): ~64/63 = 1\41, ~5/4 = 385.731		[[Optimal tuning]] ([[POTE]]): ~64/63 = 1\41, ~5/4 = 385.731
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	[[Mapping]]: [{{val\| 41 65 0 20 }}, {{val\| 0 0 1 1 }}]		[[Mapping]]: [{{val\| 41 65 0 20 }}, {{val\| 0 0 1 1 }}]

	~~{{Multival\|legend=1\| 0 41 41 65 65 -20 }}~~

	[[Optimal tuning]] ([[POTE]]): ~50/49 = 1\41, ~5/4 = 385.667		[[Optimal tuning]] ([[POTE]]): ~50/49 = 1\41, ~5/4 = 385.667

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

" to "{{Technical data page}}"

2025-04-13T13:44:56Z

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

← Older revision		Revision as of 13:44, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''countercomp family''' tempers out the [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].		The '''countercomp family''' tempers out the [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].

BudjarnLambeth: {{Technical data page}}

2025-04-13T10:46:41Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 10:46, 13 April 2025
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			{{Technical data page}}<br><br>
	The '''countercomp family''' tempers out the [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].		The '''countercomp family''' tempers out the [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].

Cmloegcmluin: "o

2023-05-07T16:08:07Z

← Older revision		Revision as of 16:08, 7 May 2023
Line 12:		Line 12:
	[[Optimal tuning]] ([[POTE]]): ~531441/524288 = 1\41, ~5/4 = 386.668		[[Optimal tuning]] ([[POTE]]): ~531441/524288 = 1\41, ~5/4 = 386.668

	{{~~Val list~~\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}		{{Optimal ET sequence\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}

	[[Badness]]: 0.934310		[[Badness]]: 0.934310
Line 27:		Line 27:
	[[Optimal tuning]] ([[POTE]]): ~64/63 = 1\41, ~5/4 = 385.731		[[Optimal tuning]] ([[POTE]]): ~64/63 = 1\41, ~5/4 = 385.731

	{{~~Val list~~\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}		{{Optimal ET sequence\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}

	[[Badness]]: 0.161056		[[Badness]]: 0.161056
Line 40:		Line 40:
	Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 385.871		Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 385.871

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, 123e, 164, 205d, 451dd }}		{{Optimal ET sequence\|legend=1\| 41, 123e, 164, 205d, 451dd }}

	Badness: 0.076537		Badness: 0.076537
Line 53:		Line 53:
	Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 386.604		Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 386.604

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, 123e, 164, 205d }}		{{Optimal ET sequence\|legend=1\| 41, 123e, 164, 205d }}

	Badness: 0.054921		Badness: 0.054921
Line 68:		Line 68:
	[[Optimal tuning]] ([[POTE]]): ~50/49 = 1\41, ~5/4 = 385.667		[[Optimal tuning]] ([[POTE]]): ~50/49 = 1\41, ~5/4 = 385.667

	{{~~Val list~~\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}		{{Optimal ET sequence\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}

	[[Badness]]: 0.142344		[[Badness]]: 0.142344
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	Optimal tuning (POTE): ~55/54 = 1\41, ~5/4 = 385.309		Optimal tuning (POTE): ~55/54 = 1\41, ~5/4 = 385.309

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, 164d, 205, 246 }}		{{Optimal ET sequence\|legend=1\| 41, 164d, 205, 246 }}

	Badness: 0.076588		Badness: 0.076588
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	[[Optimal tuning]] ([[CTE]]): ~100352/98415 = 1\41, ~567/512 = 178.5314 (~5120/5103 = 2.9216)		[[Optimal tuning]] ([[CTE]]): ~100352/98415 = 1\41, ~567/512 = 178.5314 (~5120/5103 = 2.9216)

	{{~~Val list~~\|legend=1\| 41, …, 328, 369, 779, 1927bc }}		{{Optimal ET sequence\|legend=1\| 41, …, 328, 369, 779, 1927bc }}

	[[Badness]]: 0.134559		[[Badness]]: 0.134559
Line 109:		Line 109:
	Optimal tuning (CTE): ~56/55 = 1\41, ~567/512 = 178.6944 (~3025/3024 = 3.0846)		Optimal tuning (CTE): ~56/55 = 1\41, ~567/512 = 178.6944 (~3025/3024 = 3.0846)

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, …, 328, 369, 1066cee }}		{{Optimal ET sequence\|legend=1\| 41, …, 328, 369, 1066cee }}

	Badness: 0.064400		Badness: 0.064400
Line 122:		Line 122:
	Optimal tuning (CTE): ~56/55 = 1\41, ~72/65 = 178.9389 (~352/351 = 3.3291)		Optimal tuning (CTE): ~56/55 = 1\41, ~72/65 = 178.9389 (~352/351 = 3.3291)

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, …, 328, 369f, 697cef }}		{{Optimal ET sequence\|legend=1\| 41, …, 328, 369f, 697cef }}

	Badness: 0.0416		Badness: 0.0416
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	Optimal tuning (CTE): ~55/54 = 1\41, ~256/231 = 178.3836 (~3024/3025 = 2.7738)		Optimal tuning (CTE): ~55/54 = 1\41, ~256/231 = 178.3836 (~3024/3025 = 2.7738)

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, …, 410, 451, 861e }}		{{Optimal ET sequence\|legend=1\| 41, …, 410, 451, 861e }}

	Badness: 0.100152		Badness: 0.100152
Line 148:		Line 148:
	Optimal tuning (CTE): ~55/54 = 1\41, ~72/65 = 178.3755 (~352/351 = 2.7657)		Optimal tuning (CTE): ~55/54 = 1\41, ~72/65 = 178.3755 (~352/351 = 2.7657)

	Optimal ~~GPV~~ sequence~~: {{Val list~~\| 41, …, 410, 451, 861e }}		{{Optimal ET sequence\|legend=1\| 41, …, 410, 451, 861e }}

	Badness: 0.0605		Badness: 0.0605

FloraC: /* Hemicountercomp */ +minimal generator tunings; +13-limit; consolidate names

2022-12-22T13:32:58Z

Hemicountercomp: +minimal generator tunings; +13-limit; consolidate names

← Older revision		Revision as of 13:32, 22 December 2022
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	Mapping generators: ~100352/98415, ~567/256		Mapping generators: ~100352/98415, ~567/256

	[[Optimal tuning]] ([[~~POTE~~]]): ~100352/98415 = 1\41, ~567/512 = 178.~~7115~~		[[Optimal tuning]] ([[CTE]]): ~100352/98415 = 1\41, ~567/512 = 178.5314 (~5120/5103 = 2.9216)

	{{Val list\|legend=1\| 41, 328, 369, 779 }}		{{Val list\|legend=1\| 41, …, 328, 369, 779, 1927bc }}

	[[Badness]]: 0.134559		[[Badness]]: 0.134559

	=== ~~11-limit~~ ===		=== Hemicocomp ===
	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

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	Mapping: [{{val\| 41 65 1 68 189 }}, {{val\| 0 0 2 1 -1 }}]		Mapping: [{{val\| 41 65 1 68 189 }}, {{val\| 0 0 2 1 -1 }}]

	Optimal tuning (~~POTE~~): ~56/55 = 1\41, ~567/512 = 178.~~9285~~		Optimal tuning (CTE): ~56/55 = 1\41, ~567/512 = 178.6944 (~3025/3024 = 3.0846)

	Optimal GPV sequence: {{Val list\| 41, 328, 369 }}		Optimal GPV sequence: {{Val list\| 41, …, 328, 369, 1066cee }}

	Badness: 0.064400		Badness: 0.064400

			==== 13-limit ====
			Subgroup: 2.3.5.7.11.13

			Comma list: 2080/2079, 2401/2400, 3584/3575, 10648/10647

			Mapping: [{{val\| 41 65 1 68 189 246 }}, {{val\| 0 0 2 1 -1 -2 }}]

			Optimal tuning (CTE): ~56/55 = 1\41, ~72/65 = 178.9389 (~352/351 = 3.3291)

			Optimal GPV sequence: {{Val list\| 41, …, 328, 369f, 697cef }}

			Badness: 0.0416

	=== Hemermacomp ===		=== Hemermacomp ===
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	Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]		Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]

	Optimal tuning (~~POTE~~): ~55/54 = 1\41, ~256/231 = 178.~~3714~~		Optimal tuning (CTE): ~55/54 = 1\41, ~256/231 = 178.3836 (~3024/3025 = 2.7738)

	Optimal GPV sequence: {{Val list\| 41, ~~328e, 369e~~, 410, 451, 861e~~, 2173bcee~~ }}		Optimal GPV sequence: {{Val list\| 41, …, 410, 451, 861e }}

	Badness: 0.100152		Badness: 0.100152

			==== 13-limit ====
			Subgroup: 2.3.5.7.11.13

			Comma list: 2080/2079, 2401/2400, 4096/4095, 59290/59049

			Mapping: [{{val\| 41 65 1 68 236 293 }}, {{val\| 0 0 2 1 -2 -3 }}]

			Optimal tuning (CTE): ~55/54 = 1\41, ~72/65 = 178.3755 (~352/351 = 2.7657)

			Optimal GPV sequence: {{Val list\| 41, …, 410, 451, 861e }}

			Badness: 0.0605

	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Countercomp family\| ]] <!-- main article -->		[[Category:Countercomp family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Update optimal tuning to include the period

2022-12-22T06:26:04Z

Update optimal tuning to include the period

← Older revision		Revision as of 06:26, 22 December 2022
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	The '''countercomp family''' tempers out [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].		The '''countercomp family''' tempers out the [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].

	== Countercomp ==		== Countercomp ==
Line 10:		Line 10:
	Mapping generators: ~531441/524288, ~5/1		Mapping generators: ~531441/524288, ~5/1

	[[Optimal tuning]] ([[POTE]]): ~5/4 = 386.668		[[Optimal tuning]] ([[POTE]]): ~531441/524288 = 1\41, ~5/4 = 386.668

	{{Val list\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}		{{Val list\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}
Line 25:		Line 25:
	{{Multival\|legend=1\| 0 41 0 65 0 -115 }}		{{Multival\|legend=1\| 0 41 0 65 0 -115 }}

	[[Optimal tuning]] ([[POTE]]): ~5/4 = 385.731		[[Optimal tuning]] ([[POTE]]): ~64/63 = 1\41, ~5/4 = 385.731

	{{Val list\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}		{{Val list\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}
Line 38:		Line 38:
	Mapping: [{{val\| 41 65 0 115 237 }}, {{val\| 0 0 1 0 -1 }}]		Mapping: [{{val\| 41 65 0 115 237 }}, {{val\| 0 0 1 0 -1 }}]

	Optimal tuning (POTE): ~5/4 = 385.871		Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 385.871

	Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d, 451dd }}		Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d, 451dd }}
Line 51:		Line 51:
	Mapping: [{{val\| 41 65 0 115 237 247 }}, {{val\| 0 0 1 0 -1 -1 }}]		Mapping: [{{val\| 41 65 0 115 237 247 }}, {{val\| 0 0 1 0 -1 -1 }}]

	Optimal tuning (POTE): ~5/4 = 386.604		Optimal tuning (POTE): ~56/55 = 1\41, ~5/4 = 386.604

	Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d }}		Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d }}
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	{{Multival\|legend=1\| 0 41 41 65 65 -20 }}		{{Multival\|legend=1\| 0 41 41 65 65 -20 }}

	[[Optimal tuning]] ([[POTE]]): ~5/4 = 385.667		[[Optimal tuning]] ([[POTE]]): ~50/49 = 1\41, ~5/4 = 385.667

	{{Val list\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}		{{Val list\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}
Line 79:		Line 79:
	Mapping: [{{val\| 41 65 0 20 237 }}, {{val\| 0 0 1 1 -1 }}]		Mapping: [{{val\| 41 65 0 20 237 }}, {{val\| 0 0 1 1 -1 }}]

	Optimal tuning (POTE): ~5/4 = 385.309		Optimal tuning (POTE): ~55/54 = 1\41, ~5/4 = 385.309

	Optimal GPV sequence: {{Val list\| 41, 164d, 205, 246 }}		Optimal GPV sequence: {{Val list\| 41, 164d, 205, 246 }}
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	[[Mapping]]: [{{val\| 41 65 1 68 }}, {{val\| 0 0 2 1 }}]		[[Mapping]]: [{{val\| 41 65 1 68 }}, {{val\| 0 0 2 1 }}]

	Mapping generators: ~~~531441~~/~~524288~~, ~567/256		Mapping generators: ~100352/98415, ~567/256

	[[Optimal tuning]] ([[POTE]]): ~567/512 = 178.7115		[[Optimal tuning]] ([[POTE]]): ~100352/98415 = 1\41, ~567/512 = 178.7115

	{{Val list\|legend=1\| 41, 328, 369, 779 }}		{{Val list\|legend=1\| 41, 328, 369, 779 }}
Line 107:		Line 107:
	Mapping: [{{val\| 41 65 1 68 189 }}, {{val\| 0 0 2 1 -1 }}]		Mapping: [{{val\| 41 65 1 68 189 }}, {{val\| 0 0 2 1 -1 }}]

	POTE ~~generator~~: ~567/512 = 178.9285		Optimal tuning (POTE): ~56/55 = 1\41, ~567/512 = 178.9285

	Optimal GPV sequence: {{Val list\| 41, 328, 369 }}		Optimal GPV sequence: {{Val list\| 41, 328, 369 }}
Line 120:		Line 120:
	Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]		Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]

	Optimal tuning (POTE): ~~~567~~/~~512~~ = 178.3714		Optimal tuning (POTE): ~55/54 = 1\41, ~256/231 = 178.3714

	Optimal GPV sequence: {{Val list\| 41, 328e, 369e, 410, 451, 861e, 2173bcee }}		Optimal GPV sequence: {{Val list\| 41, 328e, 369e, 410, 451, 861e, 2173bcee }}

FloraC: Name change following pythagorean -> compton

2022-12-22T04:55:46Z

Name change following pythagorean -> compton

← Older revision		Revision as of 04:55, 22 December 2022
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	The '''~~counterpyth~~ family''' tempers out [[41-comma\|~~counterpyth comma~~]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo~~\|41EDO~~]].		The '''countercomp family''' tempers out [[41-comma\|Pythagorean countercomma]], {{monzo\| 65 -41 }}, and hence the fifths form a closed 41-note circle of fifths, identical to [[41edo]].

	== ~~Counterpyth~~ ==		== Countercomp ==
	Subgroup: 2.3.5		[[Subgroup]]: 2.3.5

	[[Comma list]]: {{monzo\| 65 -41 }}		[[Comma list]]: {{monzo\| 65 -41 }}
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	Mapping generators: ~531441/524288, ~5/1		Mapping generators: ~531441/524288, ~5/1

	[[POTE ~~generator~~]]: ~5/4 = 386.668		[[Optimal tuning]] ([[POTE]]): ~5/4 = 386.668

	{{Val list\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}		{{Val list\|legend=1\| 41, 123, 164, 205, 369, 574, 779, 2132bc }}
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	[[Badness]]: 0.934310		[[Badness]]: 0.934310

	== ~~Gamelapyth~~ ==		== Gamelacomp ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 1029/1024, 537824/531441		[[Comma list]]: 1029/1024, 537824/531441
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	{{Multival\|legend=1\| 0 41 0 65 0 -115 }}		{{Multival\|legend=1\| 0 41 0 65 0 -115 }}

	[[POTE ~~generator~~]]: ~5/4 = 385.731		[[Optimal tuning]] ([[POTE]]): ~5/4 = 385.731

	{{Val list\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}		{{Val list\|legend=1\| 41, 123, 164, 205d, 246d, 451dd }}
Line 38:		Line 38:
	Mapping: [{{val\| 41 65 0 115 237 }}, {{val\| 0 0 1 0 -1 }}]		Mapping: [{{val\| 41 65 0 115 237 }}, {{val\| 0 0 1 0 -1 }}]

	POTE ~~generator~~: ~5/4 = 385.871		Optimal tuning (POTE): ~5/4 = 385.871

	Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d, 451dd }}		Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d, 451dd }}
Line 51:		Line 51:
	Mapping: [{{val\| 41 65 0 115 237 247 }}, {{val\| 0 0 1 0 -1 -1 }}]		Mapping: [{{val\| 41 65 0 115 237 247 }}, {{val\| 0 0 1 0 -1 -1 }}]

	POTE ~~generator~~: ~5/4 = 386.604		Optimal tuning (POTE): ~5/4 = 386.604

	Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d }}		Optimal GPV sequence: {{Val list\| 41, 123e, 164, 205d }}
Line 57:		Line 57:
	Badness: 0.054921		Badness: 0.054921

	== ~~Mermapyth~~ ==		== Mermacomp ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 5120/5103, 2500000/2470629		[[Comma list]]: 5120/5103, 2500000/2470629
Line 66:		Line 66:
	{{Multival\|legend=1\| 0 41 41 65 65 -20 }}		{{Multival\|legend=1\| 0 41 41 65 65 -20 }}

	[[POTE ~~generator~~]]: ~5/4 = 385.667		[[Optimal tuning]] ([[POTE]]): ~5/4 = 385.667

	{{Val list\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}		{{Val list\|legend=1\| 41, 123d, 164d, 205, 246, 451d, 697dd }}
Line 79:		Line 79:
	Mapping: [{{val\| 41 65 0 20 237 }}, {{val\| 0 0 1 1 -1 }}]		Mapping: [{{val\| 41 65 0 20 237 }}, {{val\| 0 0 1 1 -1 }}]

	POTE ~~generator~~: ~5/4 = 385.309		Optimal tuning (POTE): ~5/4 = 385.309

	Optimal GPV sequence: {{Val list\| 41, 164d, 205, 246 }}		Optimal GPV sequence: {{Val list\| 41, 164d, 205, 246 }}
Line 85:		Line 85:
	Badness: 0.076588		Badness: 0.076588

	== ~~Hemicounterpyth~~ ==		== Hemicountercomp ==
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 2401/2400, 52613349376/52301766015		[[Comma list]]: 2401/2400, 52613349376/52301766015
Line 94:		Line 94:
	Mapping generators: ~531441/524288, ~567/256		Mapping generators: ~531441/524288, ~567/256

	[[POTE ~~generator~~]]: ~567/512 = 178.7115		[[Optimal tuning]] ([[POTE]]): ~567/512 = 178.7115

	{{Val list\|legend=1\| 41, 328, 369, 779 }}		{{Val list\|legend=1\| 41, 328, 369, 779 }}
Line 113:		Line 113:
	Badness: 0.064400		Badness: 0.064400

	=== ~~Hemermapyth~~ ===		=== Hemermacomp ===
	Subgroup: 2.3.5.7.11		Subgroup: 2.3.5.7.11

Line 120:		Line 120:
	Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]		Mapping: [{{val\| 41 65 1 68 236 }}, {{val\| 0 0 2 1 -2 }}]

	POTE ~~generator~~: ~567/512 = 178.3714		Optimal tuning (POTE): ~567/512 = 178.3714

	Optimal GPV sequence: {{Val list\| 41, 328e, 369e, 410, 451, 861e, 2173bcee }}		Optimal GPV sequence: {{Val list\| 41, 328e, 369e, 410, 451, 861e, 2173bcee }}
Line 127:		Line 127:

	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:~~Counterpyth~~]]		[[Category:Countercomp family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]