No-elevens subgroup temperaments - Revision history

Hkm: /* Sensi (aka sensation) */ as per XA discussion in 2024

2026-06-12T05:14:24Z

Sensi (aka sensation): as per XA discussion in 2024

← Older revision		Revision as of 05:14, 12 June 2026
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	[[Tp tuning #T2 tuning\|RMS error]]: 1.421 cents		[[Tp tuning #T2 tuning\|RMS error]]: 1.421 cents

	== ~~Sensi~~ (aka sensation) ==		== Septimal sensi (aka sensation) ==
	: <small>''For full 13-limit extensions, see [[Sensipent family]] or [[Sensi extensions]].''</small>		: <small>''For full 13-limit extensions, see [[Sensipent family]] or [[Sensi extensions]].''</small>

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

2025-11-27T12:30:46Z

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

← Older revision		Revision as of 12:30, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Subgroup temperaments]]		[[Category:Subgroup temperaments]]
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-06-24T00:40:08Z

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

← Older revision		Revision as of 00:40, 24 June 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Subgroup temperaments]]		[[Category:Subgroup temperaments]]
	[[Category:Rank 2]]		[[Category:Rank 2]]

BudjarnLambeth: {{Technical data page}}

2025-04-13T14:36:06Z

← Older revision		Revision as of 14:36, 13 April 2025
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			{{Technical data page}}
	This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 11.		This is a collection of [[subgroup temperament]]s which omit the prime harmonic of 11.

Xenllium at 22:09, 12 April 2025

2025-04-12T22:09:50Z

← Older revision		Revision as of 22:09, 12 April 2025
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	[[Tp tuning #T2 tuning\|RMS error]]: 0.1852 cents		[[Tp tuning #T2 tuning\|RMS error]]: 0.1852 cents

			== Devimarvel (rank 3) ==
			{{see also\|Marvel family}}

			Subgroup: 2.3.5.7.19

			[[Comma list]]: 225/224, 400/399

			[[Mapping\|Sval mapping]]: [{{val\|1 0 0 -5 9}}, {{val\|0 1 0 2 -3}}, {{val\|0 0 1 2 0}}]

			[[Tp tuning\|POL2 generator]]: ~3/2 = 700.971, ~5/4 = 383.639

			{{Optimal ET sequence\|legend=1\| 12, 19, 22, 31, 41, 53, 72, 94, 125 }}

			[[Tp tuning #T2 tuning\|RMS error]]: 0.3779 cents

	== Devichrome (rank 4) ==		== Devichrome (rank 4) ==

Xenllium at 14:42, 24 March 2025

2025-03-24T14:42:50Z

← Older revision		Revision as of 14:42, 24 March 2025
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	[[Tp tuning #T2 tuning\|RMS error]]: 2.318 cents		[[Tp tuning #T2 tuning\|RMS error]]: 2.318 cents

			== Beet ==
			Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]], assuming you're targeting the no-11's [[13-odd-limit]].

			The [[S-expression]]-based comma list of this temperament is {[[64/63\|S8]], [[169/168\|S13]], [[196/195\|S14]]}.

			Subgroup: 2.3.5.7.13

			Comma list: 64/63, 91/90, 196/195

			Mapping: {{mapping\| 1 1 5 4 4 \| 0 2 -9 -4 -1 }}

			Optimal tuning ([[CTE]]): ~16/13 = 356.645

			{{Optimal ET sequence\|legend=1\| 10, 27, 37 }}

			[[Tp tuning #T2 tuning\|RMS error]]: 2.067 cents

	== Meanpop ==		== Meanpop ==
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	== Cotoneum ==		== Cotoneum ==
	: <small>''For full 19-limit extensions, see [[~~Hemimage temperaments~~ #Cotoneum]].''</small>		: <small>''For full 19-limit extensions, see [[Garischismic clan #Cotoneum]].''</small>

	Subgroup: 2.3.5.7.19		Subgroup: 2.3.5.7.19
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	[[Tp tuning #T2 tuning\|RMS error]]: 0.1852 cents		[[Tp tuning #T2 tuning\|RMS error]]: 0.1852 cents

	== ~~Beet~~ ==		== Devichrome (rank 4) ==
	Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. ~~The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit~~. ~~If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/~~7~~]] and ~[[13/10]], assuming you're targeting the no-11's [[13-odd-limit]]~~.		Subgroup: 2.3.5.7.19

	~~The~~ [[~~S-expression]]-based comma~~ list ~~of this temperament is {[[64/63\|S8]], [[169/168\|S13~~]], [[~~196~~/~~195\|S14~~]]}.		[[Comma list]]: [[400/399]]

	~~Subgroup~~: ~~2.3.5.7.13~~		[[Mapping\|Sval mapping]]: [{{val\|1 0 0 0 4}}, {{val\|0 1 0 0 -1}}, {{val\|0 0 1 0 2}}, {{val\|0 0 0 1 -1}}]

	~~Comma list: 64/63, 686/675~~, ~~512/507~~

	~~Mapping:~~ {{~~mapping~~\| 1 1 ~~5 4 4~~ \| 0 2 ~~-9 -4~~ -1 }}

	~~Optimal tuning (~~[[~~CTE~~]]): ~~356~~.~~645~~		[[Tp tuning\|POL2 generator]]: ~3/2 = 702.536, ~5/4 = 386.216, ~7/4 = 970.081

	~~All [[patent val]] [[EDO]] tunings: 10~~, 27, 37		{{Optimal ET sequence\|legend=1\| 12, 19, 22, 26, 27, 31, 41, 53, 68, 72, 94, 99, 140, 152, 345 }}

			[[Tp tuning #T2 tuning\|RMS error]]: 0.1886 cents

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Subgroup temperaments]]		[[Category:Subgroup temperaments]]
	[[Category:Rank 2]]		[[Category:Rank 2]]

Godtone: /* Beet */ link

2025-01-25T18:07:19Z

Beet: link

← Older revision		Revision as of 18:07, 25 January 2025
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	Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]], assuming you're targeting the no-11's [[13-odd-limit]].		Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]], assuming you're targeting the no-11's [[13-odd-limit]].

	The S-expression-based comma list of this temperament is {[[64/63\|S8]], [[169/168\|S13]], [[196/195\|S14]]}.		The [[S-expression]]-based comma list of this temperament is {[[64/63\|S8]], [[169/168\|S13]], [[196/195\|S14]]}.

	Subgroup: 2.3.5.7.13		Subgroup: 2.3.5.7.13

Godtone: /* Beet */ correction

2024-02-23T07:09:04Z

Beet: correction

← Older revision		Revision as of 07:09, 23 February 2024
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	== Beet ==		== Beet ==
	Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]] if you're ~~targetting~~ the no-11's [[13-odd-limit]].		Being describable as [[mynucumic]] [[archy]] [[biome]], this temperament has the logic common to 13-limit [[beatles]], [[Archytas_clan#Ringo\|ringo]] and [[Archytas_clan#Beetle\|beetle]]; in other words, they all only differ by the mapping of 11. The mapping of 11 provided by [[ares]] is seen as the canonic extension of [[beatles]] to the 11-limit. If you want a good patent val tuning, [[27edo]] is about as good as you're going to get if you want the major third to have a good chance at being able to function contextually as both a ~[[9/7]] and ~[[13/10]], assuming you're targeting the no-11's [[13-odd-limit]].

	The S-expression-based comma list of this temperament is {S8, ~~S12~~, ~~S13~~}		The S-expression-based comma list of this temperament is {[[64/63\|S8]], [[169/168\|S13]], [[196/195\|S14]]}.

	Subgroup: 2.3.5.7.13		Subgroup: 2.3.5.7.13

Godtone: add 2.3.5.7.13[10&27] temp

2024-02-23T07:06:37Z

add 2.3.5.7.13[10&27] temp

@@ Line 393: / Line 393: @@
 [[Tp tuning #T2 tuning|RMS error]]: 0.1852 cents
 [[Category:Temperament collections]]
 [[Category:Subgroup temperaments]]
 [[Category:Rank 2]]

Xenllium at 10:19, 23 July 2023

2023-07-23T10:19:39Z

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 [[Tp tuning #T2 tuning|RMS error]]: 0.1347 cents
 == Devisemi ==
@@ Line 315: / Line 353: @@
 Related temperament: [[Tetracot family|octacot]]
 == Cotoneum ==