8/5 - Revision history

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

2025-11-03T13:05:37Z

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

← Older revision		Revision as of 13:05, 3 November 2025
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	In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).		In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 8/5}}		{{Interval edo approximation\|8/5}}
	== See also ==		== See also ==
	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]

Pailiaq at 07:37, 3 November 2025

2025-11-03T07:37:49Z

← Older revision		Revision as of 07:37, 3 November 2025
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	{{Wikipedia\|Minor sixth}}		{{Wikipedia\|Minor sixth}}
	In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).		In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).
			== Approximation ==
			{{Interval_Edo_Approximation \| 8/5}}
	== See also ==		== See also ==
	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]

BudjarnLambeth: /* See also */ link, todo

2024-10-26T23:57:43Z

FloraC: Reference moved

2023-08-15T10:32:39Z

Reference moved

← Older revision		Revision as of 10:32, 15 August 2023
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	}}		}}
	{{Wikipedia\|Minor sixth}}		{{Wikipedia\|Minor sixth}}
	In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).		In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5-limit]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).

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

FloraC: +twelfth complement

2023-08-14T11:21:09Z

+twelfth complement

← Older revision		Revision as of 11:21, 14 August 2023
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	== See also ==		== See also ==
	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]
			* [[15/8]] – its [[twelfth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Aura at 15:08, 25 January 2023

2023-01-25T15:08:12Z

← Older revision		Revision as of 15:08, 25 January 2023
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	}}		}}
	{{Wikipedia\|Minor sixth}}		{{Wikipedia\|Minor sixth}}
	In [[5-limit]] [[just intonation]], '''8/5''' is the '''just''', '''classic(al)''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).		In [[5-limit]] [[just intonation]], '''8/5''' is the '''just minor sixth''', '''classic(al) minor sixth''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).

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

FloraC: Names

2023-01-12T12:24:07Z

Names

← Older revision		Revision as of 12:24, 12 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = classic~~/just~~ minor sixth		\| Name = just minor sixth, classic(al) minor sixth, ptolemaic minor sixth
	\| Color name = g6, gu 6th		\| Color name = g6, gu 6th
	\| Sound = jid_8_5_pluck_adu_dr220.mp3		\| Sound = jid_8_5_pluck_adu_dr220.mp3
	}}		}}
	{{Wikipedia\|Minor sixth}}		{{Wikipedia\|Minor sixth}}
	In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).		In [[5-limit]] [[just intonation]], '''8/5''' is the '''just''', '''classic(al)''', or '''ptolemaic minor sixth'''<ref>For reference, see [[5/4]]. </ref>, measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).

	== See also ==		== See also ==
	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

			== Notes ==
			<references/>

	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Minor sixth]]		[[Category:Minor sixth]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T16:59:10Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 16:59, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 8/5~~
	~~\| Monzo = 3 0 -1~~
	~~\| Cents = 813.68629~~
	\| Name = classic/just minor sixth		\| Name = classic/just minor sixth
	\| Color name = g6, gu 6th		\| Color name = g6, gu 6th
	~~\| FJS name = m6<sub>5</sub>~~
	\| Sound = jid_8_5_pluck_adu_dr220.mp3		\| Sound = jid_8_5_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:5-limit]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Minor sixth]]		[[Category:Minor sixth]]
	~~[[Category:Octave-reduced subharmonics]]~~

Fredg999: Added Wikipedia box, misc. edits, categories

2022-03-23T17:36:00Z

Added Wikipedia box, misc. edits, categories

← Older revision		Revision as of 17:36, 23 March 2022
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	\| Sound = jid_8_5_pluck_adu_dr220.mp3		\| Sound = jid_8_5_pluck_adu_dr220.mp3
	}}		}}
			{{Wikipedia\|Minor sixth}}
	In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7¢. It is the fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7¢) ~~away from~~ [[3/2]], and an [[81/80]] (about 21.5¢) ~~away from~~ the ~~Pythagorean (~~[[~~3-limit~~]]) minor sixth of [[128/81]] (about 792.2¢).		In [[5-limit]] [[just intonation]], '''8/5''' is a '''minor sixth''', measuring about 813.7{{cent}}. It is the [[octave-reduced]] fifth [[subharmonic]], and thus the inversion of [[5/4]], the classic major third. It appears in chords where the 1/1 is higher than the 5/4, such as 5:6:8 (a first-inversion major triad). It is a large half step of [[16/15]] (about 111.7{{cent}}) sharp of [[3/2]], and a syntonic comma ([[81/80]], about 21.5{{cent}}) sharp of the [[Pythagorean tuning\|Pythagorean]] minor sixth of [[128/81]] (about 792.2{{cent}}).

	== See also ==		== See also ==
	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
	* [[Wikipedia: Minor sixth]]

	[[Category:5-limit]]		[[Category:5-limit]]
	~~[[Category:Interval ratio]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Minor sixth]]		[[Category:Minor sixth]]
	[[Category:Octave-reduced subharmonics]]		[[Category:Octave-reduced subharmonics]]

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:Sixth]]		[[Category:Sixth]]
	[[Category:Minor sixth]]		[[Category:Minor sixth]]
	~~[[Category:Listen]]~~
	[[Category:Octave-reduced subharmonics]]		[[Category:Octave-reduced subharmonics]]

← Older revision		Revision as of 23:57, 26 October 2024
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	* [[5/4]] – its [[octave complement]]		* [[5/4]] – its [[octave complement]]
	* [[15/8]] – its [[twelfth complement]]		* [[15/8]] – its [[twelfth complement]]
			* [[Ed8/5]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
			{{todo\|expand}}

	== Notes ==		== Notes ==