5/3 - Revision history

FloraC: Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

2025-11-03T13:11:55Z

Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"

← Older revision		Revision as of 13:11, 3 November 2025
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	== Approximation ==		== Approximation ==
	5/3 is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament.		5/3 is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament.
	{{~~Interval_Edo_Approximation~~ \| 5/3}}		{{Interval edo approximation\|5/3}}

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

Pailiaq at 07:41, 3 November 2025

2025-11-03T07:41:06Z

← Older revision		Revision as of 07:41, 3 November 2025
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	== Approximation ==		== Approximation ==
	5/3 is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament.		5/3 is very accurately approximated by [[19edo]] (14\19), and hence the [[enneadecal]] temperament.
			{{Interval_Edo_Approximation \| 5/3}}

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

BudjarnLambeth: Category:Taxicab-2 intervals

2024-12-01T23:02:16Z

Category:Taxicab-2 intervals

← Older revision		Revision as of 23:02, 1 December 2024
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	[[Category:Over-3 intervals]]		[[Category:Over-3 intervals]]
	[[Category:Tritave-reduced harmonics]]		[[Category:Tritave-reduced harmonics]]
			[[Category:Taxicab-2 intervals]]

BudjarnLambeth: /* See also */ formatting/layout

2024-10-26T23:59:41Z

FloraC: Recategorize

2024-09-30T08:35:09Z

Recategorize

← Older revision		Revision as of 08:35, 30 September 2024
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	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Over-3]]		[[Category:Over-3 intervals]]
	[[Category:Tritave-reduced harmonics]]		[[Category:Tritave-reduced harmonics]]

BudjarnLambeth: Removed the line I added because it fits better on a different page

2024-01-03T09:02:38Z

Removed the line I added because it fits better on a different page

← Older revision		Revision as of 09:02, 3 January 2024
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	5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.		5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.

	~~5/3 is a [[generator]] for the [[Arcturus]] and [[Aldebaran]] temperaments.~~

	== Approximation ==		== Approximation ==

BudjarnLambeth: Added link to lonely page

2024-01-03T07:22:58Z

Added link to lonely page

← Older revision		Revision as of 07:22, 3 January 2024
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	5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.		5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.

			5/3 is a [[generator]] for the [[Arcturus]] and [[Aldebaran]] temperaments.

	== Approximation ==		== Approximation ==

FloraC: Reference moved

2023-08-15T10:31:24Z

Reference moved

← Older revision		Revision as of 10:31, 15 August 2023
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	{{Wikipedia\|Major sixth}}		{{Wikipedia\|Major sixth}}

	In [[5-limit]] [[just intonation]], '''5/3''' is the '''just major sixth''', '''classic(al) major sixth''', or '''ptolemaic major sixth'''<ref>For reference, see [[5/4]]. </ref> of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.		In [[5-limit]] [[just intonation]], '''5/3''' is the '''just major sixth''', '''classic(al) major sixth''', or '''ptolemaic major sixth'''<ref>For reference, see [[5-limit]]. </ref> of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.

	5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.		5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.

FloraC: "mellowness" may have been attributed wrong

2023-08-15T09:09:16Z

"mellowness" may have been attributed wrong

← Older revision		Revision as of 09:09, 15 August 2023
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	In [[5-limit]] [[just intonation]], '''5/3''' is the '''just major sixth''', '''classic(al) major sixth''', or '''ptolemaic major sixth'''<ref>For reference, see [[5/4]]. </ref> of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.		In [[5-limit]] [[just intonation]], '''5/3''' is the '''just major sixth''', '''classic(al) major sixth''', or '''ptolemaic major sixth'''<ref>For reference, see [[5/4]]. </ref> of about 884.4¢. It represents the difference between the 5th and 3rd [[harmonic]]s, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27/16]] (about 905.9¢) by the syntonic comma of [[81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and [[27/16]] are conflated.

	5/3 has a more mellow sound than 27/16, owing to its ~~relative smallness~~.		5/3 has a more mellow sound than 27/16, owing to its simpler beating pattern as well as its smaller size.

	== Approximation ==		== Approximation ==

FloraC: +twelfth complement

2023-08-14T11:19:47Z

+twelfth complement

← Older revision		Revision as of 11:19, 14 August 2023
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	== See also ==		== See also ==
	* [[6/5]] – its [[octave complement]]		* [[6/5]] – its [[octave complement]]
			* [[9/5]] – its [[twelfth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[ed5/3]]		* [[ed5/3]]

← Older revision		Revision as of 23:59, 26 October 2024
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	* [[6/5]] – its [[octave complement]]		* [[6/5]] – its [[octave complement]]
	* [[9/5]] – its [[twelfth complement]]		* [[9/5]] – its [[twelfth complement]]
			* [[Ed5/3]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[ed5/3]]

	== Notes ==		== Notes ==