51/40 - Revision history

Xenllium at 12:45, 15 June 2025

2025-06-15T12:45:31Z

← Older revision		Revision as of 12:45, 15 June 2025
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	\| Name = diatismic major third		\| Name = diatismic major third
	\| Color name = 17og4, sogu 4th		\| Color name = 17og4, sogu 4th
	~~\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3~~
	}}		}}

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	* [[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)		* [[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)
	* [[17edo\|6\17]] ([[34edo\|12\34]]) (423.529 cents)		* [[17edo\|6\17]] ([[34edo\|12\34]]) (423.529 cents)
			* [[37edo\|13\37]] (421.622 cents)

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

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T07:38:37Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 07:38, 3 January 2025
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	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Supermajor third]]		[[Category:Supermajor third]]
	~~{{todo\|expand}}~~

Aura: Changed name to reflect the name change of its minor counterpart.

2024-06-01T18:12:46Z

Changed name to reflect the name change of its minor counterpart.

← Older revision		Revision as of 18:12, 1 June 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~septendecimal~~ major third		\| Name = diatismic major third
	\| Color name = 17og4, sogu 4th		\| Color name = 17og4, sogu 4th
	\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3		\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3
	}}		}}

	In [[17-limit]] [[just intonation]], '''51/40''' is the '''~~septendecimal~~ major third'''. ~~Although technically a type of supermajor third, there's already a septendecimal supermajor third in~~ the ~~form of~~ [[22/~~17]], while 51~~/~~40 itself is the [[fifth complement~~]] of [[20/17]]- the ~~septendecimal minor third~~.		In [[17-limit]] [[just intonation]], '''51/40''' is the '''diatismic major third'''. It exceeds the [[81/64\|Pythagorean major third (81/64)]] by a [[136/135\|diatisma (136/135)]], hence the name.

	It is approximated by:		It is approximated by:

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:09:01Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:09, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 51/40~~
	~~\| Monzo = -8 1 -1 0 0 0 1~~
	~~\| Cents = 420.59670~~
	\| Name = septendecimal major third		\| Name = septendecimal major third
	\| Color name = 17og4, sogu 4th		\| Color name = 17og4, sogu 4th
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:17-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Supermajor third]]		[[Category:Supermajor third]]
	{{todo\|expand}}		{{todo\|expand}}

Aura at 15:23, 13 May 2022

2022-05-13T15:23:34Z

← Older revision		Revision as of 15:23, 13 May 2022
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	}}		}}

	In [[17-limit]] [[just intonation]], '''51/40''' is the '''septendecimal major third'''. Although technically a type of supermajor third, there's already a septendecimal supermajor third in the form of [[22/17]], while ~~this interval~~ is the [[fifth complement]] of [[20/17]]~~, which is~~ the septendecimal minor third.		In [[17-limit]] [[just intonation]], '''51/40''' is the '''septendecimal major third'''. Although technically a type of supermajor third, there's already a septendecimal supermajor third in the form of [[22/17]], while 51/40 itself is the [[fifth complement]] of [[20/17]]- the septendecimal minor third.

	It is approximated by:		It is approximated by:

Aura at 15:18, 13 May 2022

2022-05-13T15:18:51Z

← Older revision		Revision as of 15:18, 13 May 2022
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	\| Monzo = -8 1 -1 0 0 0 1		\| Monzo = -8 1 -1 0 0 0 1
	\| Cents = 420.59670		\| Cents = 420.59670
	\| Name = ~~lesser~~ septendecimal ~~supermajor~~ third ~~(?)~~		\| Name = septendecimal major third
	\| Color name = 17og4, sogu 4th		\| Color name = 17og4, sogu 4th
	\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3		\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3
	}}		}}

	In [[17-limit]] [[just intonation]], '''51/40''' is the '''~~lesser~~ septendecimal ~~supermajor~~ third'''.		In [[17-limit]] [[just intonation]], '''51/40''' is the '''septendecimal major third'''. Although technically a type of supermajor third, there's already a septendecimal supermajor third in the form of [[22/17]], while this interval is the [[fifth complement]] of [[20/17]], which is the septendecimal minor third.

	It is approximated by:		It is approximated by:
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	== See also ==		== See also ==
			* [[80/51]] – its [[octave complement]]
	* [[22/17]] – ~~Septendecimal supermajor third~~		* [[20/17]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:47:26Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:47, 22 February 2022
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	[[Category:Major third]]		[[Category:Major third]]
	[[Category:Supermajor third]]		[[Category:Supermajor third]]
	~~[[Category:Pages with internal sound examples]]~~

	{{todo\|expand}}		{{todo\|expand}}

Fredg999: Improved introduction, added color name, misc. edits, categories

2021-12-20T04:03:47Z

Improved introduction, added color name, misc. edits, categories

← Older revision		Revision as of 04:03, 20 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 51/40		\| Ratio = 51/40
	\| Monzo = -8 1 -1 0 0 0 1		\| Monzo = -8 1 -1 0 0 0 1
	\| Cents = 420.59670		\| Cents = 420.59670
	\| Name = lesser septendecimal supermajor third (?)		\| Name = lesser septendecimal supermajor third (?)
	\| Color name =		\| Color name = 17og4, sogu 4th
	\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3		\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3
	}}		}}

	~~Approximated by~~		In [[17-limit]] [[just intonation]], '''51/40''' is the '''lesser septendecimal supermajor third'''.

			It is approximated by:
	* [[20edo\|7\20]] (420 cents)		* [[20edo\|7\20]] (420 cents)
	* [[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)		* [[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)
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	== See also ==		== See also ==

			* [[22/17]] – Septendecimal supermajor third
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[Category:17-limit]]		[[Category:17-limit]]
			[[Category:Third]]
	[[Category:Major third]]		[[Category:Major third]]
	~~[[Category:Septendecimal]]~~
	[[Category:Supermajor third]]		[[Category:Supermajor third]]
	[[Category:~~Listen]]~~		[[Category:Pages with internal sound examples]]
	~~[[Category:Interval~~]]

	~~[[Category:Todo:~~expand]]		{{todo\|expand}}
	~~[[Category:Todo:improve synopsis]]~~

Arseniiv: cat

2020-11-08T14:54:30Z

cat

← Older revision		Revision as of 14:54, 8 November 2020
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	[[Category:Supermajor third]]		[[Category:Supermajor third]]
	[[Category:Listen]]		[[Category:Listen]]
			[[Category:Interval]]

	[[Category:Todo:expand]]		[[Category:Todo:expand]]
	[[Category:Todo:improve synopsis]]		[[Category:Todo:improve synopsis]]

Xenwolf: added infobox, cats

2020-06-17T21:43:41Z

added infobox, cats

← Older revision		Revision as of 21:43, 17 June 2020
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	~~'''~~51/40~~'''~~		{{Infobox Interval
	\|-8 1 -1 0 0 0 1~~>~~		\| Icon =
			\| Ratio = 51/40
			\| Monzo = -8 1 -1 0 0 0 1
			\| Cents = 420.59670
			\| Name = lesser septendecimal supermajor third (?)
			\| Color name =
			\| Sound = Ji-{{#regex:{{PAGENAME}}\|/(\S+)\/(\S+)/\|\1-\2}}-csound-foscil-220hz.mp3
			}}

	~~420.597 [[cent\|cents]]~~		Approximated by

	[[~~File:ji-51-40-csound-foscil-220hz.mp3~~]]		* [[20edo\|7\20]] (420 cents)
			* [[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)
			* [[17edo\|6\17]] ([[34edo\|12\34]]) (423.529 cents)

	~~[[:File:ji-51-40-csound-foscil-220hz.mp3\|ji-51-40-csound-foscil-220hz.mp3]]~~		== See also ==

	~~Approximated by~~		* [[Gallery of just intervals]]

			[[Category:17-limit]]
			[[Category:Major third]]
			[[Category:Septendecimal]]
			[[Category:Supermajor third]]
			[[Category:Listen]]

	<ul><li>[[20edo\|7\20]] (420 cents)</li><li>[[3edo\|1\3]] ([[12edo\|4\12]]) (400 cents)</li><li>[[17edo\|6\17]] ([[34edo\|12\34]]) (423.529 cents)</li><li>[[Gallery_of_Just_Intervals\|Gallery of Just Intervals]]</li></ul> [[Category:~~17-limit]]~~		[[Category:Todo:expand]]
	~~[[Category~~:~~major_third~~]]		[[Category:Todo:improve synopsis]]
	[[Category:~~septendecimal]]~~
	~~[[Category~~:~~supermajor~~]]