20/17 - Revision history

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

2025-11-03T13:11:33Z

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

← Older revision		Revision as of 13:11, 3 November 2025
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	In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27\|Pythagorean minor third (32/27)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27\|Pythagorean minor third (32/27)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 20/17}}		{{Interval edo approximation\|20/17}}
	== See also ==		== See also ==
	* [[17/10]] – its [[octave complement]]		* [[17/10]] – its [[octave complement]]

Pailiaq at 06:59, 3 November 2025

2025-11-03T06:59:16Z

← Older revision		Revision as of 06:59, 3 November 2025
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	In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27\|Pythagorean minor third (32/27)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27\|Pythagorean minor third (32/27)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.
			== Approximation ==
			{{Interval_Edo_Approximation \| 20/17}}
	== See also ==		== See also ==
	* [[17/10]] – its [[octave complement]]		* [[17/10]] – its [[octave complement]]

FloraC: We finally have a clearer modifier to describe this interval

2024-06-01T13:47:39Z

We finally have a clearer modifier to describe this interval

← Older revision		Revision as of 13:47, 1 June 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~septendecimal~~ minor third		\| Name = diatismic minor third
	\| Sound = jid_20_17_pluck_adu_dr220.mp3		\| Sound = jid_20_17_pluck_adu_dr220.mp3
	\| Color name = 17uy2, suyo 2nd		\| Color name = 17uy2, suyo 2nd
	}}		}}

	In [[17-limit]] [[just intonation]], '''20/17''' is the '''~~septendecimal~~ minor third''', measuring about 281.4{{cent}}. It is the [[mediant]] ~~between~~ [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27\|Pythagorean minor third (32/27)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.

	== See also ==		== See also ==
Line 16:		Line 16:
	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]
			[[Category:Diatismic]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:12:19Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:12, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 20/17~~
	~~\| Monzo = 2 0 1 0 0 0 -1~~
	~~\| Cents = 281.35830~~
	\| Name = septendecimal minor third		\| Name = septendecimal minor third
	\| Sound = jid_20_17_pluck_adu_dr220.mp3		\| Sound = jid_20_17_pluck_adu_dr220.mp3
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:17-limit]]~~
	[[Category:Third]]		[[Category:Third]]
	[[Category:Minor third]]		[[Category:Minor third]]

Aura at 15:12, 13 May 2022

2022-05-13T15:12:43Z

← Older revision		Revision as of 15:12, 13 May 2022
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	== See also ==		== See also ==
	* [[17/10]] – its [[octave complement]]		* [[17/10]] – its [[octave complement]]
			* [[51/40]] – its [[fifth complement]]
	* [[17/15]] – its [[fourth complement]]		* [[17/15]] – its [[fourth complement]]
	* [[17edo\|4\17]] (282.353 cents)		* [[17edo\|4\17]] (282.353 cents)

Fredg999: Misc. edits, categories

2022-03-21T14:30:09Z

Misc. edits, categories

← Older revision		Revision as of 14:30, 21 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 20/17		\| Ratio = 20/17
	\| Monzo = 2 0 1 0 0 0 -1		\| Monzo = 2 0 1 0 0 0 -1
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	}}		}}

	In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th ~~harmonics~~.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4{{cent}}. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.

	== See also ==		== See also ==
Line 18:		Line 17:

	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:~~Interval ratio]]~~		[[Category:Third]]
	~~[[Category:Just interval~~]]
	[[Category:Minor third]]		[[Category:Minor third]]
	~~[[Category:Third]]~~

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

2022-02-22T23:51:30Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
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	[[Category:Minor third]]		[[Category:Minor third]]
	[[Category:Third]]		[[Category:Third]]
	~~[[Category:Listen]]~~

Aura at 01:03, 22 January 2022

2022-01-22T01:03:21Z

← Older revision		Revision as of 01:03, 22 January 2022
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	== See also ==		== See also ==
			* [[17/10]] – its [[octave complement]]
			* [[17/15]] – its [[fourth complement]]
	* [[17edo\|4\17]] (282.353 cents)		* [[17edo\|4\17]] (282.353 cents)
	* [[17/10]] the [[octave complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Xenwolf: +cat

2020-06-13T22:15:24Z

+cat

← Older revision		Revision as of 22:15, 13 June 2020
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	\| Color name = 17uy2, suyo 2nd		\| Color name = 17uy2, suyo 2nd
	}}		}}

	In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th harmonics.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th harmonics.

Line 20:		Line 21:
	[[Category:Minor third]]		[[Category:Minor third]]
	[[Category:Third]]		[[Category:Third]]
			[[Category:Listen]]

Xenwolf: cats, link simplified, lemma bold

2020-06-13T21:57:47Z

cats, link simplified, lemma bold

← Older revision		Revision as of 21:57, 13 June 2020
Line 8:		Line 8:
	\| Color name = 17uy2, suyo 2nd		\| Color name = 17uy2, suyo 2nd
	}}		}}
	In [[17-limit]] [[~~Just~~ intonation]], '''20/17''' is the "septendecimal minor third", measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[~~OverToneSeries\|~~harmonic series]] between the 17th and 20th harmonics.		In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th harmonics.

	== See also ==		== See also ==
Line 16:		Line 16:

	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:Interval]]		[[Category:Interval ratio]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Minor third]]		[[Category:Minor third]]
	[[Category:Third]]		[[Category:Third]]
	~~[[Category:Septendecimal]]~~