Llywelynsmic clan - Revision history

FloraC: Expand

2026-05-28T10:14:02Z

Expand

← Older revision		Revision as of 10:14, 28 May 2026
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	[[Badness]] (Sintel): 2.06		[[Badness]] (Sintel): 2.06

			Scales: [[Shoe5]], [[Shoe6]], [[Shoe11]], [[Shoe16]]

	=== Overview to extensions ===		=== Overview to extensions ===
	~~Full~~ 7-limit [[extension]]s of llywelyn ~~temperament~~ include:		Strong 7-limit [[extension]]s of llywelyn include gorgo (16 & 21), gorgik (21 & 37), and semaja (16 & 37). The rest are weak extensions. Misneb (21 & 32) splits 8/7 into two for 15/14~16/15 each. Ultrapyth (32 & 37) splits 16/7 into two for a perfect fifth. Buzzard (53 & 58) splits 16/7 into three, each for 21/16.
	* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
			Temperaments discussed elsewhere are
			* ''[[Gorgo]]'' (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
			* ''[[Gorgik]]'' (+2401/2400) → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]
			* ''[[Semaja]]'' (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]		* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
			* ''[[Misneb]]'' (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]
	* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]		* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]
	* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]
	* [[Gorgik]] (+2401/2400) → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]

	~~Discussed~~ immediately below is the canonical 2.5.7.11-subgroup to 2.5.7.11.13.17-subgroup extension.		Considered immediately below is the canonical 2.5.7.11-subgroup to 2.5.7.11.13.17-subgroup extension.

	=== 2.5.7.11 subgroup ===		=== 2.5.7.11 subgroup ===

FloraC: + badnesses. Adopt WE & CWE tunings

2026-05-28T09:56:29Z

+ badnesses. Adopt WE & CWE tunings

← Older revision		Revision as of 09:56, 28 May 2026
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	== Llywelyn a.k.a. shoe ==		== Llywelyn a.k.a. shoe ==
	Llywelyn a.k.a. shoe can be described as the {{nowrap\| 16 & 21 }} temperament.		Llywelyn a.k.a. shoe can be described as the {{nowrap\| 16 & 21 }} temperament, generated by a flattened [[~]][[8/7]] whole tone, seven of which give the interval class of [[5/1\|5]]. Its [[ploidacot]] is alpha-heptaseph.

	[[Subgroup]]: 2.5.7		[[Subgroup]]: 2.5.7
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	{{Mapping\|legend=2\| 1 1 3 \| 0 7 -1 }}		{{Mapping\|legend=2\| 1 1 3 \| 0 7 -1 }}
	~~: mapping generators: ~2, ~8/7~~

	{{Mapping\|legend=3\| 1 0 1 3 \| 0 0 7 -1 }}		{{Mapping\|legend=3\| 1 0 1 3 \| 0 0 7 -1 }}
			: mapping generators: ~2, ~8/7

	[[Optimal tuning]] ([[~~POTE~~]]): ~2 = 1200.~~000~~{{c}}, ~8/7 = 226.~~910~~{{c}}		[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1199.1974{{c}}, ~8/7 = 226.7586{{c}}
			: [[error map]]: {{val\| -0.803 +0.194 +2.008 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~8/7 = 226.8388{{c}}
			: error map: {{val\| 0.000 +1.558 +4.335 }}

	{{Optimal ET sequence\|legend=1\| 5, 11c, 16, 21, 37, 164d }}		{{Optimal ET sequence\|legend=1\| 5, 11c, 16, 21, 37, 164d }}

			[[Badness]] (Sintel): 2.06

	=== Overview to extensions ===		=== Overview to extensions ===
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	Gencom mapping: {{mapping\| 1 0 1 3 1 \| 0 0 7 -1 13 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 \| 0 0 7 -1 13 }}

	Optimal ~~tuning (POTE)~~: ~2 = 1200.~~000~~{{c}}, ~8/7 = 227.~~114~~{{c}}		Optimal tunings:
			* WE: ~2 = 1199.1784{{c}}, ~8/7 = 226.9582{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.0438{{c}}

	{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cd }}		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cd, 243cd, …, 354ccdd }}

			Badness (Sintel): 0.651

	=== 2.5.7.11.13 subgroup ===		=== 2.5.7.11.13 subgroup ===
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	Gencom mapping: {{mapping\| 1 0 1 3 1 2 \| 0 0 7 -1 13 9 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 2 \| 0 0 7 -1 13 9 }}

	Optimal ~~tuning (POTE)~~: ~2 = 1200.~~000~~{{c}}, ~8/7 = 227.~~108~~{{c}}		Optimal tunings:
			* WE: ~2 = 1199.1643{{c}}, ~8/7 = 226.9495{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.0315{{c}}

	{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cdf }}		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cdf, 243cdf, …, 354ccddff }}

	~~RMS error~~: 0.~~5433 cents~~		Badness (Sintel): 0.319

	=== 2.5.7.11.13.17 subgroup ===		=== 2.5.7.11.13.17 subgroup ===
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	Gencom mapping: {{mapping\| 1 0 1 3 1 2 2 \| 0 0 7 -1 13 9 11 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 2 2 \| 0 0 7 -1 13 9 11 }}

	Optimal ~~tuning (POTE)~~: ~2 = 1200.~~000~~{{c}}, ~8/7 = 227.~~242~~{{c}}		Optimal tunings:
			* WE: ~2 = 1199.3162{{c}}, ~8/7 = 227.1125{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~8/7 = 227.1774{{c}}

	{{Optimal ET sequence\|legend=0\| 16, 21, 37, 95 }}		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 95 }}

			Badness (Sintel): 0.458

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Llywelynsmic clan\| ]] <!-- main article -->		[[Category:Llywelynsmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Units, misc. cleanup

2026-05-28T09:47:55Z

Units, misc. cleanup

← Older revision		Revision as of 09:47, 28 May 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''~~llywelyn~~ clan''' tempers out the no-threes [[llywelyn comma]], {{monzo\| 22 0 -1 -7 }} ~~= 4194304/4117715.~~		The '''llywelynsmic clan''' of [[regular temperament\|temperaments]] tempers out the no-threes [[llywelyn comma]] ({{monzo\|legend=1\| 22 0 -1 -7 }}, [[ratio]]: 4194304/4117715 }}.

	~~Full 7-limit~~ [[~~extension~~]]~~s of llywelyn temperament include~~:
	* [[Gorgo]] (+36/~~35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]~~
	* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
	* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]
	* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]
	* [[Gorgik]] (+2401/2400) → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]

	~~Discussed below is the 2.5.7 subgroup temperament llywelyn a.k.a. shoe~~.

	== Llywelyn a.k.a. shoe ==		== Llywelyn a.k.a. shoe ==
	Llywelyn a.k.a. shoe can be described as the 16 &~~amp;~~ 21 temperament~~, starting with the 2.5.7 subgroup up to the no-3 17-limit~~.		Llywelyn a.k.a. shoe can be described as the {{nowrap\| 16 & 21 }} temperament.

	[[Subgroup]]: 2.5.7		[[Subgroup]]: 2.5.7
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	{{Mapping\|legend=2\| 1 1 3 \| 0 7 -1 }}		{{Mapping\|legend=2\| 1 1 3 \| 0 7 -1 }}

	: mapping generators: ~2, ~8/7		: mapping generators: ~2, ~8/7

	{{Mapping\|legend=3\| 1 0 1 3 \| 0 0 7 -1 }}		{{Mapping\|legend=3\| 1 0 1 3 \| 0 0 7 -1 }}

	: [[~~Gencom~~]]: [2 8/7~~; 4194304/4117715]~~		[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~8/7 = 226.910{{c}}

			{{Optimal ET sequence\|legend=1\| 5, 11c, 16, 21, 37, 164d }}

	[[~~Optimal tuning~~]] ([[~~POTE~~]])~~: ~2 = 1\1, ~8~~/~~7 = 226.910~~		=== Overview to extensions ===
			Full 7-limit [[extension]]s of llywelyn temperament include:
			* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
			* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
			* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]
			* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
			* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]
			* [[Gorgik]] (+2401/2400) → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]

	~~{{Optimal ET sequence\|legend=1\|~~ 5~~, 11c, 16, 21, 37, 164d }}~~		Discussed immediately below is the canonical 2.5.7.11-subgroup to 2.5.7.11.13.17-subgroup extension.

	=== 2.5.7.11 subgroup ===		=== 2.5.7.11 subgroup ===
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	Comma list: 176/175, 1310720/1294139		Comma list: 176/175, 1310720/1294139

	~~Sval~~ mapping: {{mapping\| 1 1 3 1 \| 0 7 -1 13 }}		Subgroup-val mapping: {{mapping\| 1 1 3 1 \| 0 7 -1 13 }}

	Gencom mapping: {{mapping\| 1 0 1 3 1 \| 0 0 7 -1 13 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 \| 0 0 7 -1 13 }}

	: ~~gencom: [~~2 8/7~~; 176/175 1310720/1294139]~~		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~8/7 = 227.114{{c}}

	~~Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 227.114~~		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cd }}

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cd }}

	=== 2.5.7.11.13 subgroup ===		=== 2.5.7.11.13 subgroup ===
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	Comma list: 176/175, 640/637, 847/845		Comma list: 176/175, 640/637, 847/845

	~~Sval~~ mapping: {{mapping\| 1 1 3 1 2 \| 0 7 -1 13 9 }}		Subgroup-val mapping: {{mapping\| 1 1 3 1 2 \| 0 7 -1 13 9 }}

	Gencom mapping: {{mapping\| 1 0 1 3 1 2 \| 0 0 7 -1 13 9 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 2 \| 0 0 7 -1 13 9 }}

	~~: gencom: [2 8/7; 176/175 640/637, 1304576/1294139]~~		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~8/7 = 227.108{{c}}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~8/7 = 227.108

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cdf }}		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 206cdf }}

	~~[[Tp tuning #T2 tuning\|~~RMS error]]: 0.5433 cents		RMS error: 0.5433 cents

	=== 2.5.7.11.13.17 subgroup ===		=== 2.5.7.11.13.17 subgroup ===
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	Comma list: 176/175, 221/220, 640/637, 847/845		Comma list: 176/175, 221/220, 640/637, 847/845

	~~Sval~~ mapping: {{mapping\| 1 1 3 1 2 2 \| 0 7 -1 13 9 11 }}		Subgroup-val mapping: {{mapping\| 1 1 3 1 2 2 \| 0 7 -1 13 9 11 }}

	Gencom mapping: {{mapping\| 1 0 1 3 1 2 2 \| 0 0 7 -1 13 9 11 }}		Gencom mapping: {{mapping\| 1 0 1 3 1 2 2 \| 0 0 7 -1 13 9 11 }}

	Optimal tuning (POTE): ~2 = ~~1\1~~, ~8/7 = 227.242		Optimal tuning (POTE): ~2 = 1200.000{{c}}, ~8/7 = 227.242{{c}}

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 95 }}		{{Optimal ET sequence\|legend=0\| 16, 21, 37, 95 }}

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:Llywelynsmic clan\| ]] <!-- main article -->		[[Category:Llywelynsmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-11-27T12:20:11Z

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

← Older revision		Revision as of 12:20, 27 November 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Llywelynsmic clan\| ]] <!-- main article -->		[[Category:Llywelynsmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Lériendil at 14:40, 6 September 2025

2025-09-06T14:40:20Z

← Older revision		Revision as of 14:40, 6 September 2025
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	* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]		* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
	* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]		* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
	* [[Buzzard]] (+1728/1715) → [[~~Vulture family~~]]		* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]
	* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]		* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]		* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]

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

2025-06-24T00:26:22Z

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

← Older revision		Revision as of 00:26, 24 June 2025
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	[[Category:Temperament clans]]		[[Category:Temperament clans]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Llywelynsmic clan\| ]] <!-- main article -->		[[Category:Llywelynsmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

" to "{{Technical data page}}"

2025-04-13T13:43:36Z

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

← Older revision		Revision as of 13:43, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''llywelyn clan''' tempers out the no-threes [[llywelyn comma]], {{monzo\| 22 0 -1 -7 }} = 4194304/4117715.		The '''llywelyn clan''' tempers out the no-threes [[llywelyn comma]], {{monzo\| 22 0 -1 -7 }} = 4194304/4117715.

BudjarnLambeth: {{Technical data page}}

2025-04-13T06:53:14Z

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

← Older revision		Revision as of 06:53, 13 April 2025
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			{{Technical data page}}<br><br>
	The '''llywelyn clan''' tempers out the no-threes [[llywelyn comma]], {{monzo\| 22 0 -1 -7 }} = 4194304/4117715.		The '''llywelyn clan''' tempers out the no-threes [[llywelyn comma]], {{monzo\| 22 0 -1 -7 }} = 4194304/4117715.

FloraC: Cleanup

2024-09-27T09:44:32Z

Cleanup

← Older revision		Revision as of 09:44, 27 September 2024
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	Full 7-limit [[extension]]s of llywelyn temperament include:		Full 7-limit [[extension]]s of llywelyn temperament include:
	* [[Gorgo]]~~, {~~36/35~~, 1029/1024}~~ → [[Gamelismic clan #Gorgo\|Gamelismic clan]]		* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
	* [[Ultrapyth]]~~, {~~64/63~~, 6860/6561}~~ → [[Archytas clan #Ultrapyth\|Archytas clan]]		* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
	* [[Buzzard]]~~, {~~1728/1715~~, 5120/5103}~~ → [[Vulture family~~]] / [[Hemifamity temperaments #Buzzard\|Hemifamity temperaments~~]]		* [[Buzzard]] (+1728/1715) → [[Vulture family]]
	* [[Semaja]]~~, {~~3125/3087~~, 6144/6125}~~ → [[Porwell temperaments #Semaja\|Porwell temperaments]]		* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Misneb]]~~, {~~225/224~~, 4194304/4117715}~~ → [[Marvel temperaments #Misneb\|Marvel temperaments]]		* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]
	* [[Gorgik]]~~, {~~2401/2400~~, 28672/28125}~~ → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]		* [[Gorgik]] (+2401/2400) → [[Breedsmic temperaments #Gorgik\|Breedsmic temperaments]]

	Discussed below is the 2.5.7 subgroup temperament llywelyn ~~aka~~ shoe.		Discussed below is the 2.5.7 subgroup temperament llywelyn a.k.a. shoe.

	== Llywelyn ~~aka~~ shoe ==		== Llywelyn a.k.a. shoe ==
	~~{{See also\| Chromatic pairs #Shoe }}~~		Llywelyn a.k.a. shoe can be described as the 16 & 21 temperament, starting with the 2.5.7 subgroup up to the no-3 17-limit.

	[[Subgroup]]: 2.5.7		[[Subgroup]]: 2.5.7
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	[[Comma list]]: 4194304/4117715		[[Comma list]]: 4194304/4117715

	~~[[Sval]] [[mapping]]: [~~{{~~Val~~\| 1 1 3 ~~}}, {{Val~~\| 0 7 -1 }}]		{{Mapping\|legend=2\| 1 1 3 \| 0 7 -1 }}

	~~Mapping~~ generators: 2, ~8/7		: mapping generators: ~2, ~8/7

	~~[[Gencom]] [[mapping]]: [~~{{~~Val~~\| 1 0 1 3 ~~}}, {{Val~~\| 0 0 7 -1 }}]		{{Mapping\|legend=3\| 1 0 1 3 \| 0 0 7 -1 }}

	[[Gencom]]: [2 8/7; 4194304/4117715]		: [[Gencom]]: [2 8/7; 4194304/4117715]

	[[Optimal tuning]] ([[POTE]]): ~8/7 = 226.910		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 226.910

	{{Optimal ET sequence\|legend=1\| 5, 11c, 16, 21, 37, 164d }}		{{Optimal ET sequence\|legend=1\| 5, 11c, 16, 21, 37, 164d }}
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	Comma list: 176/175, 1310720/1294139		Comma list: 176/175, 1310720/1294139

	Sval mapping: [{{~~val~~\| 1 1 3 1 ~~}}, {{val~~\| 0 7 -1 13 }}]		Sval mapping: {{mapping\| 1 1 3 1 \| 0 7 -1 13 }}

	Gencom: ~~[2 8/~~7~~; 176/175 1310720/1294139]~~		Gencom mapping: {{mapping\| 1 0 1 3 1 \| 0 0 7 -1 13 }}

	~~Gencom mapping~~: [~~{{val\| 1 0 1 3 1 }}, {{val\| 0 0~~ 7 ~~-1 13 }}~~]		: gencom: [2 8/7; 176/175 1310720/1294139]

	Optimal tuning (POTE): ~8/7 = 227.114		Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 227.114

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cd }}		{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cd }}
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	Comma list: 176/175, 640/637, 847/845		Comma list: 176/175, 640/637, 847/845

	Sval mapping: [{{~~val~~\| 1 1 3 1 2 ~~}}, {{val~~\| 0 7 -1 13 9 }}]		Sval mapping: {{mapping\| 1 1 3 1 2 \| 0 7 -1 13 9 }}

	Gencom: [2 8/7~~; 176/175 640/637, 1304576/1294139]~~		Gencom mapping: {{mapping\| 1 0 1 3 1 2 \| 0 0 7 -1 13 9 }}

	~~Gencom mapping~~: [~~{{val\| 1 0 1 3 1~~ 2 }}, ~~{{val\| 0 0 7 -1 13 9 }}~~]		: gencom: [2 8/7; 176/175 640/637, 1304576/1294139]

	Optimal tuning (POTE): ~8/7 = 227.108		Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 227.108

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cdf }}		{{Optimal ET sequence\|legend=1\| 16, 21, 37, 206cdf }}

			[[Tp tuning #T2 tuning\|RMS error]]: 0.5433 cents

	=== 2.5.7.11.13.17 subgroup ===		=== 2.5.7.11.13.17 subgroup ===
	Subgroup: 2.5.7.11.13.17		Subgroup: 2.5.7.11.13.17

	Comma list: 176/175, 640/637, 847/845~~, 221/220~~		Comma list: 176/175, 221/220, 640/637, 847/845

	Sval mapping: [{{~~val~~\| 1 1 3 1 2 2 ~~}}, {{val~~\| 0 7 -1 13 9 11 }}]		Sval mapping: {{mapping\| 1 1 3 1 2 2 \| 0 7 -1 13 9 11 }}

	Gencom mapping: [{{~~val~~\| 1 0 1 3 1 2 2 ~~}}, {{val~~\| 0 0 7 -1 13 9 11 }}]		Gencom mapping: {{mapping\| 1 0 1 3 1 2 2 \| 0 0 7 -1 13 9 11 }}

	Optimal tuning (POTE): ~8/7 = 227.242		Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 227.242

	{{Optimal ET sequence\|legend=1\| 16, 21, 37, 95 }}		{{Optimal ET sequence\|legend=1\| 16, 21, 37, 95 }}

	[[Category:Temperament clans]]		[[Category:Temperament clans]]
			[[Category:Llywelynsmic clan\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]
	~~[[Category:Llywelyn clan\| ]] <!-- main article -->~~

FloraC: FloraC moved page Llywelyn clan to Llywelynsmic clan: By temperament naming rule

2024-09-27T09:38:37Z

FloraC moved page Llywelyn clan to Llywelynsmic clan: By temperament naming rule

← Older revision	Revision as of 09:38, 27 September 2024
(No difference)

← Older revision		Revision as of 14:40, 6 September 2025
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	* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]		* [[Gorgo]] (+36/35) → [[Gamelismic clan #Gorgo\|Gamelismic clan]]
	* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]		* [[Ultrapyth]] (+64/63) → [[Archytas clan #Ultrapyth\|Archytas clan]]
	* [[Buzzard]] (+1728/1715) → [[~~Vulture family~~]]		* [[Buzzard]] (+1728/1715) → [[Buzzardsmic clan]]
	* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]		* [[Semaja]] (+3125/3087) → [[Porwell temperaments #Semaja\|Porwell temperaments]]
	* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]		* [[Misneb]] (+225/224) → [[Marvel temperaments #Misneb\|Marvel temperaments]]