45/32 - Revision history

Aura at 19:23, 28 January 2023

2023-01-28T19:23:59Z

← Older revision		Revision as of 19:23, 28 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = smaller pental tritone, smaller diatonic tritone		\| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth
	\| Color name = y4, yo 4th		\| Color name = y4, yo 4th
	\| Sound = jid_45_32_pluck_adu_dr220.mp3		\| Sound = jid_45_32_pluck_adu_dr220.mp3
	}}		}}

	'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is a [[syntonic comma]] away from the ~~pythagorean tritone~~ [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).		'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic augmented fourth'''. It is a [[syntonic comma]] away from the Pythagorean augmented fourth [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).

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

2022-10-25T15:55:35Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 15:55, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 45/32~~		\| Name = smaller pental tritone, smaller diatonic tritone
	~~\| Monzo = -5 2 1~~
	~~\| Cents = 590.22372~~
	\| Name = smaller pental tritone, ~~<br>~~smaller diatonic tritone
	\| Color name = y4, yo 4th		\| Color name = y4, yo 4th
	~~\| FJS name = A4<sup>5</sup>~~
	\| Sound = jid_45_32_pluck_adu_dr220.mp3		\| Sound = jid_45_32_pluck_adu_dr220.mp3
	}}		}}
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	* [[16/15]] – its [[fifth complement]]		* [[16/15]] – its [[fifth complement]]

	~~[[Category:5-limit]]~~
	[[Category:Tritone]]		[[Category:Tritone]]
	~~[[Category:Octave-reduced harmonics]]~~
	[[Category:Meantone]]		[[Category:Meantone]]
	{{todo\|expand}}		{{todo\|expand}}

2022-08-26T11:55:35Z

Relation to other intervals.

← Older revision		Revision as of 11:55, 26 August 2022
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	}}		}}

	'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).		'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is a [[syntonic comma]] away from the pythagorean tritone [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).

	== See also ==		== See also ==
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	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Octave-reduced harmonics]]		[[Category:Octave-reduced harmonics]]
			[[Category:Meantone]]
	{{todo\|expand}}		{{todo\|expand}}

2022-02-22T23:47:25Z

← Older revision		Revision as of 23:47, 22 February 2022
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	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Octave-reduced harmonics]]		[[Category:Octave-reduced harmonics]]
	~~[[Category:Pages with internal sound examples]]~~

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

2021-12-20T03:14:25Z

Misc. edits, categories

← Older revision		Revision as of 03:14, 20 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 45/32		\| Ratio = 45/32
	\| Monzo = -5 2 1		\| Monzo = -5 2 1
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	[[Category:5-limit]]		[[Category:5-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:~~Overtone~~]]		[[Category:Octave-reduced harmonics]]
			[[Category:Pages with internal sound examples]]

	~~[[Category:~~todo:expand]]		{{todo\|expand}}

2020-11-07T12:15:56Z

adjusted parameter name

← Older revision		Revision as of 12:15, 7 November 2020
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	\| Monzo = -5 2 1		\| Monzo = -5 2 1
	\| Cents = 590.22372		\| Cents = 590.22372
	\| ~~Names~~ = smaller pental tritone, <br>smaller diatonic tritone		\| Name = smaller pental tritone, <br>smaller diatonic tritone
	\| Color name = y4, yo 4th		\| Color name = y4, yo 4th
	\| FJS name = A4<sup>5</sup>		\| FJS name = A4<sup>5</sup>

2020-10-22T03:49:35Z

+FJS name; cleanup

← Older revision		Revision as of 03:49, 22 October 2020
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	\| Monzo = -5 2 1		\| Monzo = -5 2 1
	\| Cents = 590.22372		\| Cents = 590.22372
	\| Names = smaller pental tritone, <br/>diatonic tritone		\| Names = smaller pental tritone, <br>smaller diatonic tritone
	\| Color name = y4, yo 4th		\| Color name = y4, yo 4th
			\| FJS name = A4<sup>5</sup>
	\| Sound = jid_45_32_pluck_adu_dr220.mp3		\| Sound = jid_45_32_pluck_adu_dr220.mp3
	}}		}}
	'''45/32''' is the '''smaller pental [[tritone]]''' a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (less than 20 cents).

			'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).

			== See also ==
			* [[64/45]] – its [[octave complement]]
			* [[16/15]] – its [[fifth complement]]

			[[Category:5-limit]]
	[[Category:Interval]]		[[Category:Interval]]
	[[Category:Ratio]]		[[Category:Ratio]]

2020-07-12T14:59:02Z

+cat

2018-10-28T19:06:27Z

included name in intro

← Older revision		Revision as of 19:06, 28 October 2018
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	\| Sound = jid_45_32_pluck_adu_dr220.mp3		\| Sound = jid_45_32_pluck_adu_dr220.mp3
	}}		}}
	~~The diatonic~~ [[tritone]] of [[5-limit]] [[~~Just Intonation~~]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (less than 20 cents).		'''45/32''' is the '''smaller pental [[tritone]]''' a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (less than 20 cents).

	[[Category:Interval]]		[[Category:Interval]]

2018-10-28T19:03:09Z

added interval infobox and categories

← Older revision		Revision as of 19:03, 28 October 2018
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	~~'''~~45/32~~'''~~		{{Infobox Interval
	\|-5 2 1~~>~~		\| Icon =
			\| Ratio = 45/32
			\| Monzo = -5 2 1
			\| Cents = 590.22372
			\| Names = smaller pental tritone, <br/>diatonic tritone
			\| Color name = y4, yo 4th
			\| Sound = jid_45_32_pluck_adu_dr220.mp3
			}}
			The diatonic [[tritone]] of [[5-limit]] [[Just Intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (less than 20 cents).

	~~590.2237 cents~~		[[Category:Interval]]
			[[Category:Ratio]]
			[[Category:Tritone]]

	~~[[File:jid_45_32_pluck_adu_dr220.mp3]] [[:File:jid_45_32_pluck_adu_dr220.mp3\|sound sample]]~~

	The diatonic [[tritone\|tritone]] of [[5-limit\|5-limit]] [[Just_intonation\|Just Intonation]]. It is separated from its inversion of [[64/45\|64/45]] by the [[diaschisma\|diaschisma]], 2048/2025 (less than 20 cents).
	[[Category:todo:expand]]		[[Category:todo:expand]]