5/9-comma meantone - Revision history

Hotcrystal0: Mention deeptone

2026-03-24T12:43:17Z

Mention deeptone

← Older revision		Revision as of 12:43, 24 March 2026
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	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val. Its [[eigenmonzo]] is [[200000/177147]].		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val. Its [[eigenmonzo]] is [[200000/177147]].

	The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.		The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament, however the meantone-mapped [[5/4]] is closer to [[16/13]] than 5/4 and using [[deeptone]] mapping for 5/4 makes more sense.

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

Fitzgerald Lee at 11:49, 6 November 2025

2025-11-06T11:49:16Z

← Older revision		Revision as of 11:49, 6 November 2025
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	{{Mathematical interest}}		{{Mathematical interest}}

	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val. Its [[eigenmonzo]] is [[200000/177147]].

	The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.		The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.

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

BudjarnLambeth: Mathematical interest

2025-08-10T22:13:23Z

Mathematical interest

← Older revision		Revision as of 22:13, 10 August 2025
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	{{~~Niche~~}}		{{Mathematical interest}}

	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

Lériendil: changed novelty to niche

2025-03-18T11:42:19Z

changed novelty to niche

← Older revision		Revision as of 11:42, 18 March 2025
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	{{~~Novelty~~}}		{{Niche}}

	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

Fitzgerald Lee at 13:22, 19 October 2024

2024-10-19T13:22:06Z

← Older revision		Revision as of 13:22, 19 October 2024
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	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

	The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]].		The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.

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

Fitzgerald Lee at 13:17, 19 October 2024

2024-10-19T13:17:23Z

← Older revision		Revision as of 13:17, 19 October 2024
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	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

	The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is ~~the~~ [[flattertone]] ~~temperament~~.		The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]].

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

Fitzgerald Lee at 13:15, 19 October 2024

2024-10-19T13:15:20Z

← Older revision		Revision as of 13:15, 19 October 2024
Line 3:		Line 3:
	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

	The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.		The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is the [[flattertone]] temperament.

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

BudjarnLambeth: +” The most accurate choice for extending 5/9-comma meantone into the 7-limit or 11-limit is flattertone temperament.”

2024-10-19T11:02:53Z

+” The most accurate choice for extending 5/9-comma meantone into the 7-limit or 11-limit is flattertone temperament.”

← Older revision		Revision as of 11:02, 19 October 2024
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	'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

			The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament.

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

FloraC: Mark as novelty; +category

2024-10-19T09:19:45Z

Mark as novelty; +category

← Older revision		Revision as of 09:19, 19 October 2024
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	'''5/9 comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		{{Novelty}}

			'''5/9-comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.

			[[Category:Meantone]]

Fitzgerald Lee at 08:24, 19 October 2024

2024-10-19T08:24:31Z

← Older revision		Revision as of 08:24, 19 October 2024
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	'''5/9 comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]]~~. This produces~~ a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.		'''5/9 comma meantone''' is a tuning of meantone where the [[3/2\|fifth]] is flattened by 5/9 of the [[81/80\|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val.