8192/6561 - Revision history

FloraC: Undo revision 211136 by M1k1 H2tsun2 (talk)

2025-09-27T11:52:32Z

Undo revision 211136 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:52, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish diminished fourth,~~ Pythagorean diminished fourth		\| Name = Pythagorean diminished fourth
	\| Color name = sw4, sawa 4th		\| Color name = sw4, sawa 4th
	}}		}}

M1k1 H2tsun2: add it them

2025-09-27T10:51:00Z

add it them

← Older revision		Revision as of 10:51, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean diminished fourth		\| Name = Threerish diminished fourth, Pythagorean diminished fourth
	\| Color name = sw4, sawa 4th		\| Color name = sw4, sawa 4th
	}}		}}

Squib: specified that it is smaller than 5/4

2025-07-13T16:05:09Z

specified that it is smaller than 5/4

← Older revision		Revision as of 16:05, 13 July 2025
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	}}		}}

	The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It ~~differs from~~ the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant and some may consider it a major third (see [[Interval region]]).		The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It is flat of the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant and some may consider it a major third (see [[Interval region]]).

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

Nick Vuci: Cleaned it up and updated link from "Extended-diatonic interval names" to more comprehensive "Interval region" page.

2024-07-13T09:46:20Z

Cleaned it up and updated link from "Extended-diatonic interval names" to more comprehensive "Interval region" page.

← Older revision		Revision as of 09:46, 13 July 2024
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	}}		}}

	The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.		The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant and some may consider it a major third (see [[Interval region]]).

	~~Due to 8192/6561's extreme proximity to 5/4,~~ some may consider it a major third (see [[~~Extended-diatonic interval names~~]]).

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

Aura at 03:18, 12 July 2024

2024-07-12T03:18:26Z

← Older revision		Revision as of 03:18, 12 July 2024
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	== See also ==		== See also ==
	* [[6561/4096]] – its [[octave complement]]		* [[6561/4096]] – its [[octave complement]]
			* [[19683/16384]] – its [[fifth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

Nick Vuci: Fixed typo

2023-12-19T21:03:00Z

Fixed typo

← Older revision		Revision as of 21:03, 19 December 2023
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	The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.		The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.

	Due to 8192/6561's extreme proximity to ~~the~~ 5/4, some may consider it a major third (see [[Extended-diatonic interval names]]).		Due to 8192/6561's extreme proximity to 5/4, some may consider it a major third (see [[Extended-diatonic interval names]]).

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

Nick Vuci: Clarified and added reference to statement

2023-12-19T21:02:29Z

Clarified and added reference to statement

← Older revision		Revision as of 21:02, 19 December 2023
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	}}		}}

	The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading. ~~According~~ to ~~[[User:VectorGraphics\|Vector]], however,~~ 8192/6561's extreme proximity to the ~~classic major third means~~ it ~~can be considered~~ a major third.		The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.

			Due to 8192/6561's extreme proximity to the 5/4, some may consider it a major third (see [[Extended-diatonic interval names]]).

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

Aura at 17:46, 19 December 2023

2023-12-19T17:46:09Z

← Older revision		Revision as of 17:46, 19 December 2023
Line 4:		Line 4:
	}}		}}

	(The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading. According to [[User:VectorGraphics\|Vector]], however, 8192/6561's extreme proximity to the classic major third means it can be considered a major third.		The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading. According to [[User:VectorGraphics\|Vector]], however, 8192/6561's extreme proximity to the classic major third means it can be considered a major third.

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

VectorGraphics at 17:29, 19 December 2023

2023-12-19T17:29:54Z

← Older revision		Revision as of 17:29, 19 December 2023
Line 4:		Line 4:
	}}		}}

	The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]], and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading.		(The '''Pythagorean diminished fourth''', '''8192/6561''', may be reached by subtracting two [[81/64]] intervals from the [[Octave\|perfect octave]]. It differs from the classic major third, [[5/4]], by the [[schisma]] (around 2 cents), and, as a result, the Pythagorean diminished fourth is in fact rather consonant. According to [[User:Aura\|Aura]], while 8192/6561 may take the place of the classic major third in chords, its status as a diminished fourth means that it has a different function in terms of voice-leading. According to [[User:VectorGraphics\|Vector]], however, 8192/6561's extreme proximity to the classic major third means it can be considered a major third.

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

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:04:31Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:04, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 8192/6561~~
	~~\| Monzo = 13 -8~~
	~~\| Cents = 384.35999~~
	\| Name = Pythagorean diminished fourth		\| Name = Pythagorean diminished fourth
	\| Color name = sw4, sawa 4th		\| Color name = sw4, sawa 4th
	~~\| FJS name = d4~~
	~~\| Sound =~~
	}}		}}

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	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

	~~[[Category:3-limit]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Diminished fourth]]		[[Category:Diminished fourth]]
	[[Category:Third]]		[[Category:Third]]
	[[Category:Major third]]		[[Category:Major third]]