Orwell extensions - Revision history

FloraC: Undo revision 225002 by VectorGraphics (talk). Here only 22 and 31 are used with different warts for ease of comparison between these extensions. Plus 9 isn't a reasonable tuning for orwell.

2026-03-02T13:20:05Z

Undo revision 225002 by VectorGraphics (talk). Here only 22 and 31 are used with different warts for ease of comparison between these extensions. Plus 9 isn't a reasonable tuning for orwell.

← Older revision		Revision as of 13:20, 2 March 2026
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (9 & 22) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' ({{nowrap\| 22 & 31f }}) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (9 & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' ({{nowrap\| 22f & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

VectorGraphics at 21:48, 1 March 2026

2026-03-01T21:48:45Z

← Older revision		Revision as of 21:48, 1 March 2026
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (~~{{nowrap\|~~ 22 ~~& 31f }}~~) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' (9 & 22) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (~~{{nowrap\| 22f~~ & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' (9 & 31) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

FloraC: FloraC moved page Orwell/Extensions to Orwell extensions over a redirect without leaving a redirect: Reversion for creating broken redirects with no clear gain

2025-08-06T11:58:14Z

FloraC moved page Orwell/Extensions to Orwell extensions over a redirect without leaving a redirect: Reversion for creating broken redirects with no clear gain

← Older revision	Revision as of 11:58, 6 August 2025
(No difference)

Lériendil: Text replacement - "Eigenmonzo
(unchanged-interval)" to "Unchanged interval
(eigenmonzo)"

2025-06-21T06:56:15Z

Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"

← Older revision		Revision as of 06:56, 21 June 2025
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	! Generator (¢)		! Generator (¢)
	! Comments		! Comments
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	! Edo<br>generators		! Edo<br>generators
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	! Generator (¢)		! Generator (¢)
	! Comments		! Comments
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	! Edo<br>generators		! Edo<br>generators
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	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

ArrowHead294: ArrowHead294 moved page Orwell extensions to Orwell/Extensions: Change to subpage format

2025-05-30T00:29:45Z

ArrowHead294 moved page Orwell extensions to Orwell/Extensions: Change to subpage format

← Older revision	Revision as of 00:29, 30 May 2025
(No difference)

Lériendil at 23:33, 19 April 2025

2025-04-19T23:33:33Z

← Older revision		Revision as of 23:33, 19 April 2025
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			{{Breadcrumb\|Orwell}}

	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
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	[[Category:Orwell]]		[[Category:Orwell]]
	[[Category:Temperament extensions]]		[[Category:Temperament extensions]]
			[[Category:Rank-2 temperaments]]

FloraC: The parentheses aren't part of the formulae

2025-04-18T14:14:37Z

The parentheses aren't part of the formulae

← Older revision		Revision as of 14:14, 18 April 2025
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' {{nowrap\|(22 &~~amp;~~ 31)}} – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' {{nowrap\|(22 & 31f)}} – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' ({{nowrap\| 22 & 31f }}) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' {{nowrap\|(22f & 31)}} – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' ({{nowrap\| 22f & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

ArrowHead294 at 13:37, 18 April 2025

2025-04-18T13:37:12Z

← Older revision		Revision as of 13:37, 18 April 2025
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' (22 & 31) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' {{nowrap\|(22 & 31)}} – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (22 & 31f) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' {{nowrap\|(22 & 31f)}} – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' {{nowrap\|(22f & 31)}} – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~~the~~ ~13/8 is conflated with ~~the~~ ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~~the~~ ~13/8 is conflated with ~~the~~ ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

	Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].		Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].

FloraC: Style

2025-04-18T13:03:41Z

Style

← Older revision		Revision as of 13:03, 18 April 2025
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal ~~Orwell~~''' (22 & 31) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' (22 & 31) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (22 & 31f) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' (22 & 31f) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120

ArrowHead294 at 12:50, 18 April 2025

2025-04-18T12:50:22Z

← Older revision		Revision as of 12:50, 18 April 2025
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	* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. ~~It is supported~~ by [[53edo\|53]]~~. However~~, it ~~does come at~~ the ~~cost~~ of ~~a way increased~~ complexity ~~level~~. The other two extensions ~~are of~~ lower complexity, but ~~in both cases the approximations are pretty poor~~. In winston, the ~13/8 is conflated with the ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, the ~13/8 is conflated with the ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, the ~13/8 is conflated with the ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, the ~13/8 is conflated with the ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

	Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].		Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].

← Older revision		Revision as of 13:20, 2 March 2026
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (9 & 22) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' ({{nowrap\| 22 & 31f }}) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (9 & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' ({{nowrap\| 22f & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

← Older revision		Revision as of 21:48, 1 March 2026
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (~~{{nowrap\|~~ 22 ~~& 31f }}~~) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' (9 & 22) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (~~{{nowrap\| 22f~~ & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' (9 & 31) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

← Older revision		Revision as of 14:14, 18 April 2025
Line 1:		Line 1:
	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' {{nowrap\|(22 &~~amp;~~ 31)}} – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' ({{nowrap\| 22 & 31 }}) – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' {{nowrap\|(22 & 31f)}} – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' ({{nowrap\| 22 & 31f }}) – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' {{nowrap\|(22f & 31)}} – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' ({{nowrap\| 22f & 31 }}) – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

← Older revision		Revision as of 13:37, 18 April 2025
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	[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:		[[Orwell]] has multiple competing [[extension]]s to the [[13-limit]]. This is evidenced by the fact that its [[support]]ing [[equal temperament]]s, [[22edo\|22]] and [[31edo\|31]], do less well in the 13-limit. The extensions are:
	* '''Tridecimal orwell''' (22 & 31) – tempering out 99/98, 121/120, 176/175, and 275/273		* '''Tridecimal orwell''' {{nowrap\|(22 & 31)}} – tempering out 99/98, 121/120, 176/175, and 275/273
	* '''Blair''' (22 & 31f) – tempering out 65/64, 78/77, 91/90, and 99/98		* '''Blair''' {{nowrap\|(22 & 31f)}} – tempering out 65/64, 78/77, 91/90, and 99/98
	* '''Winston''' (22f & 31) – tempering out 66/65, 99/98, 105/104, and 121/120		* '''Winston''' {{nowrap\|(22f & 31)}} – tempering out 66/65, 99/98, 105/104, and 121/120

	The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~~the~~ ~13/8 is conflated with ~~the~~ ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~~the~~ ~13/8 is conflated with ~~the~~ ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.		The most important of these is tridecimal orwell, which tempers out [[352/351]] and may also be characterized by tempering out [[275/273]] instead. Supported by [[53edo\|53]], it has the highest accuracy in its approximation of 13/8, but also the highest complexity. The other two extensions have lower complexity, but also lower accuracy. In winston, ~13/8 is conflated with ~18/11 and is generally tuned worse than in 31edo as a result of an improved ~18/11. In blair, ~13/8 is conflated with ~8/5 and is generally tuned worse than in 22edo as a result of an improved ~8/5.

	Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].		Another possible path which relates a sense of compromise is to temper out [[169/168]], leading to [[doublethink]]. This has the effect of slicing the generator in two, and is supported by [[44edo\|44]], 53, and [[62edo\|62]].