17/9 - Revision history

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

2025-11-03T13:05:20Z

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

← Older revision		Revision as of 13:05, 3 November 2025
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	In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category.		In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category.
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 17/9}}		{{Interval edo approximation\|17/9}}

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

Pailiaq at 07:49, 3 November 2025

2025-11-03T07:49:42Z

← Older revision		Revision as of 07:49, 3 November 2025
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	In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category.		In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category.
			== Approximation ==
			{{Interval_Edo_Approximation \| 17/9}}

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

FloraC: +more discussion

2023-01-12T09:38:40Z

+more discussion

← Older revision		Revision as of 09:38, 12 January 2023
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	In [[17-limit]] [[just intonation]], '''17/9''' is the '''septendecimal diminished octave''' or the '''septendecimal major seventh''', depending on how one views it. It measures about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".		In [[17-limit]] [[just intonation]], '''17/9''' is the '''septendecimal diminished octave''' or the '''septendecimal major seventh''', depending on how one views it. It measures about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".

	== Terminology ==		== Terminology and notation ==
	There exists a disagreement in different conceptualization systems on whether 17/9 should be a major seventh or a diminished octave. The diminished octave view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[4096/2187]], the Pythagorean diminished octave. The major seventh view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[243/128]], the Pythagorean major seventh.		There exists a disagreement in different conceptualization systems on whether 17/9 should be a major seventh or a diminished octave. The diminished octave view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[4096/2187]], the Pythagorean diminished octave. The major seventh view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[243/128]], the Pythagorean major seventh.

			In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category.

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

FloraC: Rework

2023-01-12T09:12:08Z

Rework

← Older revision		Revision as of 09:12, 12 January 2023
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	}}		}}

	In [[17-limit]] [[just intonation]], '''17/9''' is the '''~~large~~ septendecimal major seventh''', ~~measuring~~ about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".		In [[17-limit]] [[just intonation]], '''17/9''' is the '''septendecimal diminished octave''' or the '''septendecimal major seventh''', depending on how one views it. It measures about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".

	There exists a disagreement in different ~~notation~~ systems on whether 17/9 should be ~~notated as~~ a major seventh or a diminished octave. ~~In the~~ [[Functional Just System]], it ~~is a~~ diminished octave~~, whereas in~~ [[Helmholtz-Ellis notation]], it ~~is a~~ major seventh.		== Terminology ==
			There exists a disagreement in different conceptualization systems on whether 17/9 should be a major seventh or a diminished octave. The diminished octave view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[4096/2187]], the Pythagorean diminished octave. The major seventh view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[243/128]], the Pythagorean major seventh.

	== See also ==		== See also ==
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	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
			[[Category:Octave]]
			[[Category:Diminished octave]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:35:52Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:35, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	~~\| Ratio = 17/9~~
	~~\| Monzo = 0 -2 0 0 0 0 1~~
	~~\| Cents = 1101.0454~~
	\| Name = large septendecimal major seventh		\| Name = large septendecimal major seventh
	\| Color name = 17o8, iso octave		\| Color name = 17o8, iso octave
	~~\| FJS name = d8<sup>17</sup>~~
	\| Sound = jid_17_9_pluck_adu_dr220.mp3		\| Sound = jid_17_9_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of Just Intervals]]		* [[Gallery of Just Intervals]]

	~~[[Category:17-limit]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]

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:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Misc. edits, categories

2021-12-12T21:11:29Z

Misc. edits, categories

← Older revision		Revision as of 21:11, 12 December 2021
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	\| Cents = 1101.0454		\| Cents = 1101.0454
	\| Name = large septendecimal major seventh		\| Name = large septendecimal major seventh
	\| Color name =		\| Color name = 17o8, iso octave
	\| FJS name = d8<sup>17</sup>		\| FJS name = d8<sup>17</sup>
	\| Sound = jid_17_9_pluck_adu_dr220.mp3		\| Sound = jid_17_9_pluck_adu_dr220.mp3
	}}		}}

	In [[17-limit]] [[~~Just Intonation~~]], '''17/9''' is the '''large septendecimal major seventh''', measuring about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".		In [[17-limit]] [[just intonation]], '''17/9''' is the '''large septendecimal major seventh''', measuring about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".

	There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a diminished octave, whereas in [[Helmholtz-Ellis notation]], it is a major seventh.		There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In the [[Functional Just System]], it is a diminished octave, whereas in [[Helmholtz-Ellis notation]], it is a major seventh.

	== See also ==		== See also ==
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	[[Category:17-limit]]		[[Category:17-limit]]
	~~[[Category:Interval]]~~
	~~[[Category:Ratio]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

Userminusone at 18:47, 27 March 2021

2021-03-27T18:47:26Z

← Older revision		Revision as of 18:47, 27 March 2021
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	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
			[[Category:Pages with internal sound examples]]

FloraC: +infobox; +categories; clarification

2020-10-19T12:23:03Z

+infobox; +categories; clarification

← Older revision		Revision as of 12:23, 19 October 2020
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	~~'''~~17/9~~'''~~		{{Infobox Interval
	\|0 -2 0 0 0 0 1~~>~~		\| Icon =
			\| Ratio = 17/9
			\| Monzo = 0 -2 0 0 0 0 1
			\| Cents = 1101.0454
			\| Name = large septendecimal major seventh
			\| Color name =
			\| FJS name = d8<sup>17</sup>
			\| Sound = jid_17_9_pluck_adu_dr220.mp3
			}}

	~~1101~~.~~0454 cents~~		In [[17-limit]] [[Just Intonation]], '''17/9''' is the '''large septendecimal major seventh''', measuring about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone".

	[[~~File:jid_17_9_pluck_adu_dr220.mp3~~]] [[~~:File:jid_17_9_pluck_adu_dr220.mp3\|sound sample~~]]		There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a diminished octave, whereas in [[Helmholtz-Ellis notation]], it is a major seventh.

	In [[17~~-limit\|17-limit~~]] [[~~Just_intonation\|Just Intonation~~]]~~, 17/9 is the "large septendecimal major seventh," measuring about 1101¢. It is the~~ [[~~mediant\|mediant]] between [[15/8\|15/8]] and [[2/1\|2/1]]. Its inversion is [[18/17\|18/17~~]]~~, the "small septendecimal semitone".~~		== See also ==
			* [[18/17]] – its [[octave complement]]
			* [[Gallery of Just Intervals]]

	~~See~~: [[~~Gallery_of_Just_Intervals\|Gallery of Just Intervals~~]]		[[Category:17-limit]]
			[[Category:Interval]]
			[[Category:Ratio]]
			[[Category:Seventh]]
			[[Category:Major seventh]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+'''17/9'''
 |0 -2 0 0 0 0 1&gt;
 .0454 cents
-In [[17-limit]] [[Just Intonation]], 17/9 is the "large septendecimal major seventh," measuring about 1101¢. It is the [[mediant]] between [[15_8|15/8]] and [[2_1|2/1]]. Its inversion is [[18_17|18/17]], the "small septendecimal semitone".
+[[File:jid_17_9_pluck_adu_dr220.mp3]] [[:File:jid_17_9_pluck_adu_dr220.mp3|sound sample]]
-See: [[Gallery of Just Intervals]]</pre></div>
+See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]