17/15 - Revision history

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

2025-11-03T13:02:33Z

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

← Older revision		Revision as of 13:02, 3 November 2025
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	√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).		√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 17/15}}		{{Interval edo approximation\|17/15}}
	== See also ==		== See also ==

Pailiaq at 06:56, 3 November 2025

2025-11-03T06:56:11Z

← Older revision		Revision as of 06:56, 3 November 2025
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	√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).		√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).
			== Approximation ==
			{{Interval_Edo_Approximation \| 17/15}}
	== See also ==		== See also ==

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

2024-06-01T13:44:04Z

We finally have a clearer modifier to describe this interval

← Older revision		Revision as of 13:44, 1 June 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~septendecimal~~ whole tone		\| Name = diatismic whole tone
	\| Color name = 17og3, sogu 3rd		\| Color name = 17og3, sogu 3rd
	\| Sound = jid_17_15_pluck_adu_dr220.mp3		\| Sound = jid_17_15_pluck_adu_dr220.mp3
	}}		}}

	In [[17-limit]] [[just intonation]], '''17/15''' is the '''~~septendecimal~~ whole tone''' measuring about 216.7{{cent}}. It is the [[mediant]] ~~between [[~~9/8]] and [[8/7]], as it is (9+8)/(8+7). It is found in the [[harmonic series]] between the 17th and 15th [[harmonic]]s. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.		In [[17-limit]] [[just intonation]], '''17/15''' is the '''diatismic whole tone''' measuring about 216.7{{cent}}. It exceeds the [[9/8\|Pythagorean whole tone (9/8)]] by a [[136/135\|diatisma (136/135)]], hence the name. It is the [[mediant]] of 9/8 and [[8/7]], as it is (9 + 8)/(8 + 7). It is found in the [[harmonic series]] between the 17th and 15th [[harmonic]]s. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 – indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.

	√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).		√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).
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	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
			[[Category:Diatismic]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:43:22Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:43, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 17/15~~
	~~\| Monzo = 0 -1 -1 0 0 0 1~~
	~~\| Cents = 216.68669~~
	\| Name = septendecimal whole tone		\| Name = septendecimal whole tone
	\| Color name = 17og3, sogu 3rd		\| Color name = 17og3, sogu 3rd
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:17-limit]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

Fredg999: Misc. edits, categories

2022-03-21T13:58:37Z

Misc. edits, categories

← Older revision		Revision as of 13:58, 21 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 17/15		\| Ratio = 17/15
	\| Monzo = 0 -1 -1 0 0 0 1		\| Monzo = 0 -1 -1 0 0 0 1
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	}}		}}

	In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7¢. It is the [[mediant]] between [[9/8]] and [[8/7]], as it is (9+8)/(8+7). It is found in the [[~~OverToneSeries\|~~harmonic series]] between the 17th and 15th ~~overtones~~. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.		In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7{{cent}}. It is the [[mediant]] between [[9/8]] and [[8/7]], as it is (9+8)/(8+7). It is found in the [[harmonic series]] between the 17th and 15th [[harmonic]]s. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.

	√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).		√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for [[wizard]] and its various relatives (lizard, gizzard, etc.).

	== See also ==		== See also ==
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	[[Category:17-limit]]		[[Category:17-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	[[Category:Second]]		[[Category:Second]]
	[[Category:Whole tone]]		[[Category:Whole tone]]

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:Just interval]]		[[Category:Just interval]]
	[[Category:Second]]		[[Category:Second]]
	~~[[Category:Listen]]~~
	[[Category:Whole tone]]		[[Category:Whole tone]]

Fredg999 category edits: Removing from Category:Pages with internal sound examples using Cat-a-lot

2022-02-22T23:46:43Z

Removing from Category:Pages with internal sound examples using Cat-a-lot

← Older revision		Revision as of 23:46, 22 February 2022
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	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
	~~[[Category:Pages with internal sound examples]]~~

Aura at 01:05, 22 January 2022

2022-01-22T01:05:24Z

← Older revision		Revision as of 01:05, 22 January 2022
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	== See also ==		== See also ==

	* [[30/17]] its [[~~inverse interval~~]]		* [[30/17]] – its [[octave complement]]
			* [[20/17]] – its [[fourth complement]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Userminusone at 18:46, 27 March 2021

2021-03-27T18:46:50Z

← Older revision		Revision as of 18:46, 27 March 2021
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	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Whole tone]]		[[Category:Whole tone]]
			[[Category:Pages with internal sound examples]]

Xenwolf: cats

2020-06-13T22:01:28Z

cats

← Older revision		Revision as of 22:01, 13 June 2020
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	}}		}}

	In [[17-limit]] [[just intonation]], '''17/15''' is the "septendecimal whole tone" measuring about 216.7¢. It is the [[mediant]] between [[9/8]] and [[8/7]], as it is (9+8)/(8+7). It is found in the [[OverToneSeries\|harmonic series]] between the 17th and 15th overtones. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.		In [[17-limit]] [[just intonation]], '''17/15''' is the '''septendecimal whole tone''' measuring about 216.7¢. It is the [[mediant]] between [[9/8]] and [[8/7]], as it is (9+8)/(8+7). It is found in the [[OverToneSeries\|harmonic series]] between the 17th and 15th overtones. [[11edo]]'s second degree, measuring approximately 218.2¢, is close in size to 17/15 -- indeed, the 11edo system has excellent approximations of the 15th and 17th harmonics, and so this harmonic function is plausible in 11edo.

	√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).		√2/(17/15) is three cents flat of a 5/4 major third, and this or 17/15 itself can be used for a tuning for wizard and its various relatives (lizard, gizzard, etc.).

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

	* [[30/17]] its [[inverse interval]]		* [[30/17]] its [[inverse interval]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:Interval]]		[[Category:Interval ratio]]
	~~[[Category:Ratio~~]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:~~Sound example~~]]		[[Category:Second]]
			[[Category:Listen]]
			[[Category:Whole tone]]