1/3-comma meantone - Revision history

Hotcrystal0: clarify in “practically identical”

2026-01-23T18:43:32Z

clarify in “practically identical”

← Older revision		Revision as of 18:43, 23 January 2026
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	\| ja =		\| ja =
	}}		}}
	'''1/3-comma meantone''' is the tuning of [[meantone]] temperament in which each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]). In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[Eigenmonzo\|eigenmonzo (unchanged interval)]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).		'''1/3-comma meantone''' is the tuning of [[meantone]] temperament in which each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]). In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[Eigenmonzo\|eigenmonzo (unchanged interval)]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference as 19edo's fifth is 0.05 cents flatter).

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

Lériendil: Text replacement - "(unchanged-interval)" to "(unchanged interval)"

2025-06-21T06:59:38Z

Text replacement - "(unchanged-interval)" to "(unchanged interval)"

← Older revision		Revision as of 06:59, 21 June 2025
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	'''1/3-comma meantone''' is the tuning of [[meantone]] temperament in which each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]). In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[Eigenmonzo\|eigenmonzo (unchanged-interval)]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).		'''1/3-comma meantone''' is the tuning of [[meantone]] temperament in which each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]). In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[Eigenmonzo\|eigenmonzo (unchanged interval)]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).

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

FloraC: Mistuning -> error

2024-11-07T14:27:55Z

Mistuning -> error

← Older revision		Revision as of 14:27, 7 November 2024
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	[[Tuning map]]: {{val\| 1200 1894.7862 2779.1450 3347.8624 }}		[[Tuning map]]: {{val\| 1200 1894.7862 2779.1450 3347.8624 }}

	[[~~Mistuning~~ map]]: {{val\| 0 -7.1688 -7.1688 -20.9635 }}		[[Error map]]: {{val\| 0 -7.1688 -7.1688 -20.9635 }}

	== External links ==		== External links ==

Fredg999: External link

2024-07-01T00:57:55Z

External link

← Older revision		Revision as of 00:57, 1 July 2024
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	== External links ==		== External links ==
	* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Lehrklaenge.de \| ''Die mitteltönige Stimmung mit reinen kleinen Terzen''] (explanation of 1/3 comma meantone, German)		* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Lehrklaenge.de \| ''Die mitteltönige Stimmung mit reinen kleinen Terzen''] (explanation of 1/3 comma meantone, German)
			* [http://tonalsoft.com/enc/number/19edo.aspx 19-tone equal-temperament and 1/3-comma meantone / 19-edo / 19-ed2] on [[Tonalsoft Encyclopedia]]

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

FloraC: +tuning profile

2023-10-01T08:30:09Z

+tuning profile

← Older revision		Revision as of 08:30, 1 October 2023
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	In '''1/3-comma meantone''' temperament, each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]).		'''1/3-comma meantone''' is the tuning of [[meantone]] temperament in which each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]). In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[Eigenmonzo\|eigenmonzo (unchanged-interval)]] of 6/5. The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI. 1/3-comma meantone is practically identical to the closed system of [[19edo]] (although technically there is a slight difference).

	~~In other words, 1/3-comma meantone is the specific tuning of~~ [[~~meantone~~]] ~~temperament with an [[eigenmonzo]] (unchanged-interval) of 6/5.~~		== Tuning profile ==
			[[Projection map]]:

	~~The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by~~ 1/3 ~~syntonic comma (''c''. 7.2 cents) than that in the JI.~~		{\| class="right-all"
			\|-
			\| [⟨ \|\| 1 \|\| 4/3 \|\| 4/3 \|\| 1/3 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| -1/3 \|\| -4/3 \|\| -10/3 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| 1/3 \|\| 4/3 \|\| 10/3 \|\| ]
			\|-
			\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| ]]
			\|}

	~~1/3-comma meantone is practically identical to the closed system of~~ [[~~19edo~~]] ~~(although technically there is a slight difference)~~.		[[Tuning map]]: {{val\| 1200 1894.7862 2779.1450 3347.8624 }}

			[[Mistuning map]]: {{val\| 0 -7.1688 -7.1688 -20.9635 }}

	== External links ==		== External links ==
			* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Lehrklaenge.de \| ''Die mitteltönige Stimmung mit reinen kleinen Terzen''] (explanation of 1/3 comma meantone, German)
	* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Die mitteltönige Stimmung mit reinen kleinen Terzen] (explanation of 1/3 comma meantone, German)

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

FloraC: FloraC moved page 1/3 syntonic comma meantone to 1/3-comma meantone over redirect: Syntonic comma is assumed

2023-09-30T07:06:58Z

FloraC moved page 1/3 syntonic comma meantone to 1/3-comma meantone over redirect: Syntonic comma is assumed

← Older revision	Revision as of 07:06, 30 September 2023
(No difference)

Cmloegcmluin: add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group

2023-05-05T23:41:41Z

add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group

← Older revision		Revision as of 23:41, 5 May 2023
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	In '''1/3-comma meantone''' temperament, each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]).		In '''1/3-comma meantone''' temperament, each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]).

	In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[eigenmonzo]] of 6/5.		In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[eigenmonzo]] (unchanged-interval) of 6/5.

	The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI.		The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI.

BudjarnLambeth: Added to category "historical"

2023-04-27T01:12:04Z

Added to category "historical"

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

Fredg999 category edits: Removing from Category:Definition using Cat-a-lot

2023-03-06T21:52:07Z

Removing from Category:Definition using Cat-a-lot

← Older revision		Revision as of 21:52, 6 March 2023
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	* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Die mitteltönige Stimmung mit reinen kleinen Terzen] (explanation of 1/3 comma meantone, German)		* [http://www.lehrklaenge.de/PHP/Tonsystem/MitteltoenigeStimmung3.php Die mitteltönige Stimmung mit reinen kleinen Terzen] (explanation of 1/3 comma meantone, German)

	~~[[Category:Definition]]~~
	[[Category:Meantone]]		[[Category:Meantone]]

Cmloegcmluin: link directly to eigenmonzo now that it has its own page

2021-06-13T23:32:32Z

link directly to eigenmonzo now that it has its own page

← Older revision		Revision as of 23:32, 13 June 2021
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	In '''1/3-comma meantone''' temperament, each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]).		In '''1/3-comma meantone''' temperament, each perfect fifth is tempered by a third of a [[syntonic comma]] from its just value of [[3/2]]. This results in minor thirds being exactly [[6/5]] (and major sixths being exactly [[5/3]]).

	In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[~~Fractional_monzos\|~~eigenmonzo]] of 6/5.		In other words, 1/3-comma meantone is the specific tuning of [[meantone]] temperament with an [[eigenmonzo]] of 6/5.

	The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI.		The fifth is 694.786 cents in size, and the major third 379.145 cents. Both are flat by 1/3 syntonic comma (''c''. 7.2 cents) than that in the JI.