2/9-comma meantone - Revision history

FloraC at 14:04, 1 September 2025

2025-09-01T14:04:01Z

← Older revision		Revision as of 14:04, 1 September 2025
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	'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].		'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].

	2/9-comma meantone was described by {{w\|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w\|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the ~~optimal~~ 5-, 7~~-, 11- and 13~~-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.		2/9-comma meantone was described by {{w\|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w\|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the 5- and 7-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.

	== Tuning profile ==		== Tuning profile ==

BudjarnLambeth at 01:27, 8 November 2024

2024-11-08T01:27:37Z

← Older revision		Revision as of 01:27, 8 November 2024
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	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Historical ~~temperaments~~]]		[[Category:Historical]]

Yourmusic Productions: Evidence linked to in discussion page.

2024-11-07T19:08:21Z

Evidence linked to in discussion page.

← Older revision		Revision as of 19:08, 7 November 2024
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	== Music ==		== Music ==
	; [[Jonatan Sersam]]		; [[Jonatan Sersam]]
	* [https://www.youtube.com/watch?v=T8kPFzkUAAs ''L'architettura dell'alveare''] (2024)~~{{confirm}} <!-- evidence that this is 2/9-comma? -->~~		* [https://www.youtube.com/watch?v=T8kPFzkUAAs ''L'architettura dell'alveare''] (2024)

	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Historical temperaments]]		[[Category:Historical temperaments]]

FloraC: /* Music */ request evidence

2024-11-07T14:37:36Z

Music: request evidence

← Older revision		Revision as of 14:37, 7 November 2024
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	== Music ==		== Music ==
	[[Jonatan Sersam]] - [https://www.youtube.com/watch?v=T8kPFzkUAAs L'architettura dell'alveare] (2024)		; [[Jonatan Sersam]]
			* [https://www.youtube.com/watch?v=T8kPFzkUAAs ''L'architettura dell'alveare''] (2024){{confirm}} <!-- evidence that this is 2/9-comma? -->

	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Historical temperaments]]		[[Category:Historical temperaments]]

FloraC: Mistuning -> error

2024-11-07T14:36:43Z

Mistuning -> error

← Older revision		Revision as of 14:36, 7 November 2024
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	'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].		'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].

	2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.		2/9-comma meantone was described by {{w\|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w\|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.

	== Tuning profile ==		== Tuning profile ==
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	[[Tuning map]]: {{val\| 1200 1897.1758 2788.7033 3371.7583 }}		[[Tuning map]]: {{val\| 1200 1897.1758 2788.7033 3371.7583 }}

	[[~~Mistuning~~ map]]: {{val\| 0 -4.7792 +2.3896 +2.9323 }}		[[Error map]]: {{val\| 0 -4.7792 +2.3896 +2.9323 }}

	== Music ==		== Music ==

Yourmusic Productions: Add music.

2024-09-13T12:42:12Z

Add music.

← Older revision		Revision as of 12:42, 13 September 2024
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	[[Mistuning map]]: {{val\| 0 -4.7792 +2.3896 +2.9323 }}		[[Mistuning map]]: {{val\| 0 -4.7792 +2.3896 +2.9323 }}

			== Music ==
			[[Jonatan Sersam]] - [https://www.youtube.com/watch?v=T8kPFzkUAAs L'architettura dell'alveare] (2024)

	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Historical temperaments]]		[[Category:Historical temperaments]]

Lériendil at 09:48, 24 August 2024

2024-08-24T09:48:14Z

← Older revision		Revision as of 09:48, 24 August 2024
Line 1:		Line 1:
	'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].		'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].

	2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.		2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.

	== Tuning profile ==		== Tuning profile ==

FloraC: Expand

2024-08-24T08:43:47Z

Expand

@@ Line 1: / Line 1: @@
 '''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].
-/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.
+/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.
-{{todo|expand|comment=add tuning profile}}
+== Tuning profile ==
-[[Category:Meantone]][[Category:Historical temperaments]]
+{| class="right-all"

BudjarnLambeth at 07:55, 2 March 2024

2024-03-02T07:55:02Z

← Older revision		Revision as of 07:55, 2 March 2024
Line 1:		Line 1:
	'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 2/9 of a [[syntonic comma]]. This results in a fifth of 697.176 [[cents]].		'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].

	2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.		2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.

BudjarnLambeth: Created page for 2/9 comma. Since it was described in both 1666 and 1852, and since it is so close to the CTE tuning, I think it deserves a page :)

2024-03-02T07:53:53Z

Created page for 2/9 comma. Since it was described in both 1666 and 1852, and since it is so close to the CTE tuning, I think it deserves a page :)

New page

'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 2/9 of a [[syntonic comma]]. This results in a fifth of 697.176 [[cents]].

2/9-comma meantone was described by [[Lemme Rossi]] in ''Sistema musico ouero Musica speculativa'' (1666), and again by [[Moritz Wilhelm Drobisch]] in ''Über musikalische Tonbestimmung und Temperatur'' (1852). Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone.

{{todo|expand|comment=add tuning profile}}

[[Category:Meantone]][[Category:Historical temperaments]]