2/7-comma meantone - Revision history

Francium: +music

2025-04-16T13:12:59Z

+music

← Older revision		Revision as of 13:12, 16 April 2025
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	[[Error map]]: {{val\| 0 -6.1447 -3.0723 -10.7224 }}		[[Error map]]: {{val\| 0 -6.1447 -3.0723 -10.7224 }}

			== Music ==
			; [[Juhani Nuorvala]]
			* [https://www.youtube.com/watch?v=kus7w1O6pCw ''Ten Chords from a Piece by Feldman''] (2025)

	== See also ==		== See also ==

FloraC: Mistuning -> error

2024-11-07T14:33:16Z

Mistuning -> error

← Older revision		Revision as of 14:33, 7 November 2024
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	'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]])		'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) – that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.
	~~—~~that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

	== Tuning profile ==		== Tuning profile ==
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	[[Tuning map]]: {{val\| 1200 1895.8103 2783.2414 3358.1035 }}		[[Tuning map]]: {{val\| 1200 1895.8103 2783.2414 3358.1035 }}

	[[~~Mistuning~~ map]]: {{val\| 0 -6.1447 -3.0723 -10.7224 }}		[[Error map]]: {{val\| 0 -6.1447 -3.0723 -10.7224 }}

	== See also ==		== See also ==

ArrowHead294 at 14:10, 31 October 2024

2024-10-31T14:10:10Z

← Older revision		Revision as of 14:10, 31 October 2024
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	'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) - that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.		'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]])
			—that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

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

Lériendil at 06:12, 31 October 2024

2024-10-31T06:12:37Z

← Older revision		Revision as of 06:12, 31 October 2024
Line 1:		Line 1:
	'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]). It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.		'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) - that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

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

Recentlymaterialized at 04:13, 9 June 2024

2024-06-09T04:13:58Z

← Older revision		Revision as of 04:13, 9 June 2024
Line 1:		Line 1:
	'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]). It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] and [[69edo]] ~~sharply and~~ flatly~~, respectively~~, and near perfectly by [[119edo]] using the b val flat 5th.		'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]). It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

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

FloraC: +tuning profile

2023-10-01T08:25:01Z

+tuning profile

← Older revision		Revision as of 08:25, 1 October 2023
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	In '''2/7-comma meantone''', the JI fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]).		'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]). It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] and [[69edo]] sharply and flatly, respectively, and near perfectly by [[119edo]] using the b val flat 5th.

	~~It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei.~~		== Tuning profile ==
			[[Projection map]]:

	~~It may be described as the regular tuning which tempers out 81~~/~~80 and tunes~~ 2/~~1 and [[25~~/24]] ~~purely.~~		{\| class="right-all"
			\|-
			\| [⟨ \|\| 1 \|\| 8/7 \|\| 4/7 \|\| -11/7 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| -1/7 \|\| -4/7 \|\| -10/7 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| 2/7 \|\| 8/7 \|\| 20/7 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| ]]
			\|}

	~~It is also the tuning where the major third (~~[[~~5/4~~]]~~) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''~~. 3.~~1 cents)~~.		[[Tuning map]]: {{val\| 1200 1895.8103 2783.2414 3358.1035 }}

	~~It is approximated roughly by~~ [[~~50edo~~]] ~~and [[69edo]] sharply and flatly, respectively, and near perfectly by [[119edo]] using the b~~ val ~~flat 5th~~.		[[Mistuning map]]: {{val\| 0 -6.1447 -3.0723 -10.7224 }}

	== See also ==		== See also ==
	* [http://www.tonalsoft.com/enc/number/2-7cmt.aspx Tonalsoft ~~article on~~ 2/7 comma meantone]		* [http://www.tonalsoft.com/enc/number/2-7cmt.aspx Tonalsoft Encyclopedia \| ''2/7-comma meantone'']

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

FloraC: FloraC moved page 2/7 syntonic comma meantone to 2/7-comma meantone: Syntonic comma is assumed

2023-09-30T07:07:55Z

FloraC moved page 2/7 syntonic comma meantone to 2/7-comma meantone: Syntonic comma is assumed

← Older revision	Revision as of 07:07, 30 September 2023
(No difference)

BudjarnLambeth: Added to category "historical"

2023-04-27T01:12:16Z

Added to category "historical"

← Older revision		Revision as of 01:12, 27 April 2023
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	[[Category:Meantone]]		[[Category:Meantone]]
			[[Category:Historical]]

Yourmusic Productions: Close edos.

2023-04-26T12:20:31Z

Close edos.

← Older revision		Revision as of 12:20, 26 April 2023
Line 6:		Line 6:

	It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents).		It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents).

			It is approximated roughly by [[50edo]] and [[69edo]] sharply and flatly, respectively, and near perfectly by [[119edo]] using the b val flat 5th.

	== See also ==		== See also ==

FloraC: I was wrong. Both are flat.

2020-04-10T13:57:35Z

I was wrong. Both are flat.

← Older revision		Revision as of 13:57, 10 April 2020
Line 5:		Line 5:
	It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely.		It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely.

	It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally ~~off~~ from JI by 1/7 syntonic comma (''c''. 3.1 cents)~~, with the major third flat, and the minor third sharp~~.		It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents).

	== See also ==		== See also ==