729/512 - Revision history

FloraC: Undo revision 211132 by M1k1 H2tsun2 (talk)

2025-09-27T11:50:50Z

Undo revision 211132 by M1k1 H2tsun2 (talk)

← Older revision		Revision as of 11:50, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Threerish augmented fourth,~~ (Pythagorean) tritone, Pythagorean augmented fourth		\| Name = (Pythagorean) tritone, Pythagorean augmented fourth
	\| Color name = Lw4, lawa 4th		\| Color name = Lw4, lawa 4th
	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3

M1k1 H2tsun2: add it and remove one and another

2025-09-27T10:47:04Z

add it and remove one and another

← Older revision		Revision as of 10:47, 27 September 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = (Pythagorean) tritone, Pythagorean augmented fourth~~, The Tyrant~~		\| Name = Threerish augmented fourth, (Pythagorean) tritone, Pythagorean augmented fourth
	\| Color name = Lw4, lawa 4th		\| Color name = Lw4, lawa 4th
	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3

Cmloegcmluin at 21:30, 23 June 2024

2024-06-23T21:30:52Z

← Older revision		Revision as of 21:30, 23 June 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = Pythagorean tritone, Pythagorean augmented fourth, The Tyrant		\| Name = (Pythagorean) tritone, Pythagorean augmented fourth, The Tyrant
	\| Color name = Lw4, lawa 4th		\| Color name = Lw4, lawa 4th
	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3
	}}		}}
	'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction\|reducing by three octaves]]. It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.		'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction\|reducing by three octaves]]. While nowadays "tritone" more commonly refers to a broader range of intervals, in Medieval music theory, "tritone" referred more specifically to 729/512, as this is the interval reached by stacking three (Pythagorean whole) [[tone]]s ([[9/8]]). It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.

	~~From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>~~.

	== See also ==		== See also ==
			* [[Tritone]]
	* [[1024/729]] – its [[octave complement]]		* [[1024/729]] – its [[octave complement]]
	* [[256/243]] – its [[fifth complement]]		* [[256/243]] – its [[fifth complement]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:51:46Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:51, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 729/512~~		\| Name = Pythagorean tritone, Pythagorean augmented fourth, The Tyrant
	~~\| Monzo = -9 6~~
	~~\| Cents = 611.73001~~
	\| Name = Pythagorean tritone, ~~<br>~~Pythagorean augmented fourth, ~~<br>~~The Tyrant
	\| Color name = Lw4, lawa 4th		\| Color name = Lw4, lawa 4th
	~~\| FJS name = A4~~
	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

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

Fredg999: Misc. edits, categories

2022-03-23T16:03:32Z

Misc. edits, categories

← Older revision		Revision as of 16:03, 23 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 729/512		\| Ratio = 729/512
	\| Monzo = -9 6		\| Monzo = -9 6
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	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3
	}}		}}
			'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and [[octave reduction\|reducing by three octaves]]. It is separated from the 5-limit interval of [[64/45]] by the schisma ([[32805/32768]]), less than 2{{cent}}.
	'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of [[64/45]] by the [[32805/32768~~\|schisma (32805/32768)~~]], less than 2 ~~cents~~.

	From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>.		From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>.
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	[[Category:3-limit]]		[[Category:3-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Tritone]]		[[Category:Tritone]]

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

2022-03-01T00:48:36Z

Removing from Category:Pythagorean using Cat-a-lot

← Older revision		Revision as of 00:48, 1 March 2022
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	[[Category:Interval ratio]]		[[Category:Interval ratio]]
	[[Category:Tritone]]		[[Category:Tritone]]
	~~[[Category:Pythagorean]]~~

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

2022-02-22T23:51:33Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
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	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Pythagorean]]		[[Category:Pythagorean]]
	~~[[Category:Listen]]~~

TallKite at 01:39, 13 July 2021

2021-07-13T01:39:22Z

← Older revision		Revision as of 01:39, 13 July 2021
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	\| Cents = 611.73001		\| Cents = 611.73001
	\| Name = Pythagorean tritone, <br>Pythagorean augmented fourth, <br>The Tyrant		\| Name = Pythagorean tritone, <br>Pythagorean augmented fourth, <br>The Tyrant
	\| Color name = Lw4, ~~large wa~~ 4th		\| Color name = Lw4, lawa 4th
	\| FJS name = A4		\| FJS name = A4
	\| Sound = Ji-729-512-csound-foscil-220hz.mp3		\| Sound = Ji-729-512-csound-foscil-220hz.mp3

Xenwolf: put main lemma first, improve sentence about literal meaning of "tritone"

2021-06-03T15:33:21Z

put main lemma first, improve sentence about literal meaning of "tritone"

← Older revision		Revision as of 15:33, 3 June 2021
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	}}		}}

	~~The~~ '''~~Pythagorean augmented fourth~~''', '''~~729/512~~''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of [[64/45]] by the [[32805/32768\|schisma (32805/32768)]], less than 2 cents.		'''729/512''', the '''Pythagorean augmented fourth''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of [[64/45]] by the [[32805/32768\|schisma (32805/32768)]], less than 2 cents.

	~~In addition, it can be interpreted as~~ a literal tritone, ~~since~~ it ~~can be made~~ by ~~stacking~~ three ~~whole tones,~~ [[9/8]].		From a literal point of view, this interval is the only one that rightly bears the name ''[[tritone]]'', because it is created by combining three [[tone]]s: <code>([[9/8]])<sup>3</sup></code>.

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

Eliora at 19:55, 5 April 2021

2021-04-05T19:55:40Z

← Older revision		Revision as of 19:55, 5 April 2021
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	The '''Pythagorean augmented fourth''', '''729/512''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of [[64/45]] by the [[32805/32768\|schisma (32805/32768)]], less than 2 cents.		The '''Pythagorean augmented fourth''', '''729/512''', may be reached by stacking six perfect fifths ([[3/2]]), and reducing by three octaves. It is separated from the 5-limit interval of [[64/45]] by the [[32805/32768\|schisma (32805/32768)]], less than 2 cents.

			In addition, it can be interpreted as a literal tritone, since it can be made by stacking three whole tones, [[9/8]].

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