1024/729 - Revision history

FloraC: Undo revision 211133 by M1k1 H2tsun2 (talk)

2025-09-27T11:51:25Z

← Older revision		Revision as of 11:51, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish diminished fifth,~~ Pythagorean narrow tritone, Pythagorean diminished fifth		\| Name = Pythagorean narrow tritone, Pythagorean diminished fifth
	\| Color name = sw5, sawa 5th		\| Color name = sw5, sawa 5th
	\| Sound = Ji-1024-729-csound-foscil-220hz.mp3		\| Sound = Ji-1024-729-csound-foscil-220hz.mp3

2025-09-27T10:48:01Z

add it them

← Older revision		Revision as of 10:48, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean narrow tritone, Pythagorean diminished fifth		\| Name = Threerish diminished fifth, Pythagorean narrow tritone, Pythagorean diminished fifth
	\| Color name = sw5, sawa 5th		\| Color name = sw5, sawa 5th
	\| Sound = Ji-1024-729-csound-foscil-220hz.mp3		\| Sound = Ji-1024-729-csound-foscil-220hz.mp3

2025-06-11T23:23:09Z

fix degree

← Older revision		Revision as of 23:23, 11 June 2025
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	}}		}}

	'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean augmented ~~fifth~~ ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).		'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean augmented fourth ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).

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

2025-06-11T23:21:40Z

both intervals are tritones, in the most common sense

← Older revision		Revision as of 23:21, 11 June 2025
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	}}		}}

	'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean ~~[[tritone]]~~ ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).		'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean augmented fifth ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).

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

2022-10-25T12:02:34Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:02, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 1024/729~~		\| Name = Pythagorean narrow tritone, Pythagorean diminished fifth
	~~\| Monzo = 10 -6~~
	~~\| Cents = 588.26999~~
	\| Name = Pythagorean narrow tritone, ~~<br>~~Pythagorean diminished fifth
	\| Color name = sw5, sawa 5th		\| Color name = sw5, sawa 5th
	~~\| FJS name = d5~~
	\| Sound = Ji-1024-729-csound-foscil-220hz.mp3		\| Sound = Ji-1024-729-csound-foscil-220hz.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:3-limit]]~~
	[[Category:Tritone]]		[[Category:Tritone]]

2022-02-22T23:46:38Z

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:3-limit]]		[[Category:3-limit]]
	[[Category:Tritone]]		[[Category:Tritone]]
	~~[[Category:Pages with internal sound examples]]~~

2022-02-16T21:28:00Z

Misc. edits, categories

← Older revision		Revision as of 21:28, 16 February 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 1024/729		\| Ratio = 1024/729
	\| Monzo = 10 -6		\| Monzo = 10 -6
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	}}		}}

	'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the ~~“classic”~~ [[~~729/512~~]] [[~~tritone~~]]. It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it's is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).		'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the Pythagorean [[tritone]] ([[729/512]]). It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).

	== See also ==		== See also ==
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	[[Category:3-limit]]		[[Category:3-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Tritone]]		[[Category:Tritone]]
	~~[[Category:Pythagorean]]~~
	~~[[Category:Listen]]~~
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

2021-07-13T02:01:19Z

← Older revision		Revision as of 02:01, 13 July 2021
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	\| Cents = 588.26999		\| Cents = 588.26999
	\| Name = Pythagorean narrow tritone, <br>Pythagorean diminished fifth		\| Name = Pythagorean narrow tritone, <br>Pythagorean diminished fifth
	\| Color name = sw5, ~~small wa~~ 5th		\| Color name = sw5, sawa 5th
	\| FJS name = d5		\| FJS name = d5
	\| Sound = Ji-1024-729-csound-foscil-220hz.mp3		\| Sound = Ji-1024-729-csound-foscil-220hz.mp3

2021-06-03T15:53:17Z

put main lemma first, integrate tritone link

← Older revision		Revision as of 15:53, 3 June 2021
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	}}		}}

	~~The~~ '''~~Pythagorean diminished fifth~~''', '''~~1024/729~~''', may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves~~. It~~ is separated from the 5-limit interval of [[45/32]] by the [[~~32805/32768\|~~schisma ~~(32805/32768)~~]], less than 2 cents.		'''1024/729''', the '''Pythagorean diminished fifth''', is the [[octave complement]] of the “classic” [[729/512]] [[tritone]]. It may be reached by stacking six perfect fourths ([[4/3]]), and reducing by two octaves, it's is separated from the 5-limit interval of [[45/32]] by the [[schisma]] (less than 2 cents).

	== See also ==		== See also ==
	* [[729/512]] – its [[octave complement]]
	* [[2187/2048]] – its [[fifth complement]]		* [[2187/2048]] – its [[fifth complement]]
	* [[Pythagorean tuning]]		* [[Pythagorean tuning]]

2021-03-27T03:57:12Z

← Older revision		Revision as of 03:57, 27 March 2021
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	[[Category:Pythagorean]]		[[Category:Pythagorean]]
	[[Category:Listen]]		[[Category:Listen]]
			[[Category:Pages with internal sound examples]]