2/5-comma meantone - Revision history

BudjarnLambeth: Mathematical interest

2025-08-10T22:31:32Z

Mathematical interest

← Older revision		Revision as of 22:31, 10 August 2025
Line 1:		Line 1:
	{{~~niche~~}}		{{Mathematical interest}}

	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].

BudjarnLambeth: Niche

2025-03-18T03:13:46Z

Niche

← Older revision		Revision as of 03:13, 18 March 2025
Line 1:		Line 1:
	{{~~Novelty~~}}		{{niche}}

	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].

Lucius Chiaraviglio: Add eigenmonzo 27/25

2025-01-03T09:45:35Z

Add eigenmonzo 27/25

← Older revision		Revision as of 09:45, 3 January 2025
Line 1:		Line 1:
	{{Novelty}}		{{Novelty}}

	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].

	The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.

	[[Category:Meantone]]		[[Category:Meantone]]

Fitzgerald Lee at 13:21, 19 October 2024

2024-10-19T13:21:14Z

← Older revision		Revision as of 13:21, 19 October 2024
Line 3:		Line 3:
	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

	The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]]. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.

	[[Category:Meantone]]		[[Category:Meantone]]

Fitzgerald Lee at 13:18, 19 October 2024

2024-10-19T13:18:10Z

← Older revision		Revision as of 13:18, 19 October 2024
Line 3:		Line 3:
	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

	The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] ~~temperament~~. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone - less than 0.2 cents different.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]]. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.

	[[Category:Meantone]]		[[Category:Meantone]]

BudjarnLambeth at 11:27, 19 October 2024

2024-10-19T11:27:56Z

← Older revision		Revision as of 11:27, 19 October 2024
Line 3:		Line 3:
	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

	The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the CTE generator for 11-limit flattone - less than 0.2 cents different.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone - less than 0.2 cents different.

	[[Category:Meantone]]		[[Category:Meantone]]

BudjarnLambeth: Mention that it’s actually a really good flattone tuning

2024-10-19T11:27:15Z

Mention that it’s actually a really good flattone tuning

← Older revision		Revision as of 11:27, 19 October 2024
Line 3:		Line 3:
	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

	The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the CTE generator for 11-limit flattone - less than 0.2 cents different.

	[[Category:Meantone]]		[[Category:Meantone]]

BudjarnLambeth at 11:25, 19 October 2024

2024-10-19T11:25:00Z

← Older revision		Revision as of 11:25, 19 October 2024
Line 3:		Line 3:
	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

	The most accurate choice for extending 4/9-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament.		The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament.

	[[Category:Meantone]]		[[Category:Meantone]]

BudjarnLambeth: Mention flattone as higher limit extension

2024-10-19T11:24:50Z

Mention flattone as higher limit extension

← Older revision		Revision as of 11:24, 19 October 2024
Line 2:		Line 2:

	'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].		'''2/5-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 2/5 of the [[81/80\|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

			The most accurate choice for extending 4/9-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament.

	[[Category:Meantone]]		[[Category:Meantone]]

Fitzgerald Lee: Not me copying again-

2024-10-19T11:22:21Z

Not me copying again-

New page

{{Novelty}}

'''2/5-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 2/5 of the [[81/80|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].

[[Category:Meantone]]