144/125 - Revision history

FloraC: Sectioning

2025-01-01T10:24:25Z

Sectioning

← Older revision		Revision as of 10:24, 1 January 2025
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	'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80\|syntonic commas]], which lends itself to the term ''triptolemaic''.		'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80\|syntonic commas]], which lends itself to the term ''triptolemaic''.

	~~In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.~~

	== Approximation ==		== Approximation ==
	This interval is especially close to the 10th step of [[49edo]].		This interval is especially close to the 10th step of [[49edo]].

			== Temperaments ==
			In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university]] temperament treats it as a [[comma]].

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

2023-07-13T06:46:53Z

+name and explain the idea behind them; remove comma tag cuz it's pretentious

← Older revision		Revision as of 06:46, 13 July 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = classic diminished third		\| Name = classic(al) diminished third, triptolemaic diminished third
	\| Color name = g<sup>3</sup>3, trigu 3rd		\| Color name = g<sup>3</sup>3, trigu 3rd
	\| Sound = jid_144_125_pluck_adu_dr220.mp3		\| Sound = jid_144_125_pluck_adu_dr220.mp3
	~~\| Comma = 1~~
	}}		}}

	'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.		'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80\|syntonic commas]], which lends itself to the term ''triptolemaic''.

			In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.

	== Approximation ==		== Approximation ==

2023-04-28T03:27:00Z

← Older revision		Revision as of 03:27, 28 April 2023
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	[[Category:Third]]		[[Category:Third]]
	[[Category:Diminished third]]		[[Category:Diminished third]]
	[[Category:Interseptimal]]		[[Category:Interseptimal intervals]]
	[[Category:Semifourth]]		[[Category:Semifourth]]
	[[Category:University]]		[[Category:University]]

2022-12-29T02:20:00Z

added color name

← Older revision		Revision as of 02:20, 29 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = classic diminished third		\| Name = classic diminished third
			\| Color name = g<sup>3</sup>3, trigu 3rd
	\| Sound = jid_144_125_pluck_adu_dr220.mp3		\| Sound = jid_144_125_pluck_adu_dr220.mp3
	\| Comma = 1		\| Comma = 1

2022-10-25T12:05:51Z

← Older revision		Revision as of 12:05, 25 October 2022
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	\| Name = classic diminished third		\| Name = classic diminished third
	\| Sound = jid_144_125_pluck_adu_dr220.mp3		\| Sound = jid_144_125_pluck_adu_dr220.mp3
			\| Comma = 1
	}}		}}

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	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Semifourth]]		[[Category:Semifourth]]
	~~[[Category:Large commas]]~~
	[[Category:University]]		[[Category:University]]

2022-10-25T12:05:09Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:05, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 144/125~~
	~~\| Monzo = 4 2 -3~~
	~~\| Cents = 244.96886~~
	\| Name = classic diminished third		\| Name = classic diminished third
	~~\| Color name =~~
	~~\| FJS name = d3<sub>125</sub>~~
	\| Sound = jid_144_125_pluck_adu_dr220.mp3		\| Sound = jid_144_125_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:5-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Diminished third]]		[[Category:Diminished third]]
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	[[Category:Large commas]]		[[Category:Large commas]]
	[[Category:University]]		[[Category:University]]

	~~{{todo\|add color name}}~~

2022-03-21T13:21:19Z

2022-03-20T21:45:11Z

2022-02-22T23:46:41Z

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:Large comma]]		[[Category:Large comma]]
	[[Category:University]]		[[Category:University]]
	~~[[Category:Pages with internal sound examples]]~~

2021-11-07T22:29:27Z

Expansion

← Older revision		Revision as of 22:29, 7 November 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 144/125		\| Ratio = 144/125
	\| Monzo = 4 2 -3		\| Monzo = 4 2 -3
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	}}		}}

	'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. [[~~University~~ temperament]] treats it as a comma.		'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.

	This interval is especially close to the 10th step of [[49edo~~\|49edo.~~]]		== Approximation ==
			This interval is especially close to the 10th step of [[49edo]].

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

	* [[125/72]] – its [[octave complement]]		* [[125/72]] – its [[octave complement]]
	* [[125/96]] – its [[fifth complement]]		* [[125/96]] – its [[fifth complement]]
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	[[Category:Diminished third]]		[[Category:Diminished third]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
			[[Category:Semifourth]]
	[[Category:Large comma]]		[[Category:Large comma]]
	[[Category:~~144/125~~]]		[[Category:University]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

	~~[[Category:todo:expand]]~~