17/13 - Revision history

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

2025-11-03T13:08:00Z

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

← Older revision		Revision as of 13:08, 3 November 2025
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	It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).		It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 17/13}}		{{Interval edo approximation\|17/13}}
	== See also ==		== See also ==
	* [[26/17]] – its [[octave complement]]		* [[26/17]] – its [[octave complement]]

Pailiaq at 07:18, 3 November 2025

2025-11-03T07:18:59Z

← Older revision		Revision as of 07:18, 3 November 2025
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	It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).		It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
			== Approximation ==
			{{Interval_Edo_Approximation \| 17/13}}
	== See also ==		== See also ==
	* [[26/17]] – its [[octave complement]]		* [[26/17]] – its [[octave complement]]

Lériendil at 05:12, 21 July 2025

2025-07-21T05:12:14Z

← Older revision		Revision as of 05:12, 21 July 2025
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	In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.		In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.

	It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).		It is less than 0.1 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).

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

FloraC: Recategorize

2024-11-24T08:06:06Z

Recategorize

← Older revision		Revision as of 08:06, 24 November 2024
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	\| Sound = jid_17_13_pluck_adu_dr220.mp3		\| Sound = jid_17_13_pluck_adu_dr220.mp3
	}}		}}

	In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.		In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.

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	[[Category:Interseptimal intervals]]		[[Category:Interseptimal intervals]]
	[[Category:Naiadic]]		[[Category:Naiadic]]
	[[Category:Taxicab-2]]		[[Category:Taxicab-2 intervals]]

Fredg999 category edits: Moving from Category:Interseptimal to Category:Interseptimal intervals using Cat-a-lot

2023-04-28T03:27:05Z

Moving from Category:Interseptimal to Category:Interseptimal intervals using Cat-a-lot

← Older revision		Revision as of 03:27, 28 April 2023
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	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Subfourth]]		[[Category:Subfourth]]
	[[Category:Interseptimal]]		[[Category:Interseptimal intervals]]
	[[Category:Naiadic]]		[[Category:Naiadic]]
	[[Category:Taxicab-2]]		[[Category:Taxicab-2]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:32:40Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:32, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 17/13~~
	~~\| Monzo = 0 0 0 0 0 -1 1~~
	~~\| Cents = 464.42775~~
	\| Name = septendecimal subfourth		\| Name = septendecimal subfourth
	\| Color name = 17o3u4, sothu 4th		\| Color name = 17o3u4, sothu 4th
	~~\| FJS name = P4<sup>17</sup><sub>13</sub>~~
	\| Sound = jid_17_13_pluck_adu_dr220.mp3		\| Sound = jid_17_13_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:17-limit]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Subfourth]]		[[Category:Subfourth]]

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

2022-02-22T23:46:42Z

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:Naiadic]]		[[Category:Naiadic]]
	[[Category:Taxicab-2]]		[[Category:Taxicab-2]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Misc. edits, categories

2021-12-12T21:04:52Z

Misc. edits, categories

← Older revision		Revision as of 21:04, 12 December 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 17/13		\| Ratio = 17/13
	\| Monzo = 0 0 0 0 0 -1 1		\| Monzo = 0 0 0 0 0 -1 1
	\| Cents = 464.42775		\| Cents = 464.42775
	\| Name = septendecimal subfourth		\| Name = septendecimal subfourth
	\| Color name =		\| Color name = 17o3u4, sothu 4th
	\| FJS name = P4<sup>17</sup><sub>13</sub>		\| FJS name = P4<sup>17</sup><sub>13</sub>
	\| Sound = jid_17_13_pluck_adu_dr220.mp3		\| Sound = jid_17_13_pluck_adu_dr220.mp3
	}}		}}

	In [[17-limit]] [[~~Just Intonation~~]], '''17/13''' is the '''septendecimal ~~sub-fourth~~''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.		In [[17-limit]] [[just intonation]], '''17/13''' is the '''septendecimal subfourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.

	It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).		It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).
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	[[Category:17-limit]]		[[Category:17-limit]]
	~~[[Category:Interval]]~~
	[[Category:Fourth]]		[[Category:Fourth]]
	[[Category:Subfourth]]		[[Category:Subfourth]]
	[[Category:Interseptimal]]		[[Category:Interseptimal]]
	[[Category:Naiadic]]		[[Category:Naiadic]]
			[[Category:Taxicab-2]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

Userminusone at 18:46, 27 March 2021

2021-03-27T18:46:23Z

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

Inthar at 04:47, 30 January 2021

2021-01-30T04:47:40Z

← Older revision		Revision as of 04:47, 30 January 2021
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	In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.		In [[17-limit]] [[Just Intonation]], '''17/13''' is the '''septendecimal sub-fourth''', measuring about 464.4¢. It differs from the [[4/3]] perfect fourth by the [[comma]] [[52/51]], about 33.6¢. It is the [[mediant]] between [[13/10]] and [[4/3]] and falls in the categorically-ambiguous zone between supermajor third and perfect fourth that Margo Schulter calls [[interseptimal]]. It appears in the [[harmonic series]] between the 13th and 17th harmonics.

	It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31).		It is less than 0.2 cents flat of [[31edo]]'s subfourth of 464.52¢ (12\31). In fact, a circle of 31 pure 17/13's closes with an error of only 2.74c ([[relative error]] 7.1%).

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