32/17 - Revision history

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

2025-11-03T13:14:46Z

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

← Older revision		Revision as of 13:14, 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~~ \| 32/17}}		{{Interval edo approximation\|32/17}}

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

Pailiaq at 07:49, 3 November 2025

2025-11-03T07:49:52Z

← 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 \| 32/17}}

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

FloraC: +more discussion

2023-01-12T09:37:22Z

+more discussion

← Older revision		Revision as of 09:37, 12 January 2023
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	In [[17-limit]] [[just intonation]], '''32/17''' is the '''septendecimal major seventh''' or the '''septendecimal diminished octave''', depending on how one views it. It is also the octave-reduced 17th [[subharmonic]]. Its inversion is [[17/16]], the octave-reduced 17th harmonic. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]].		In [[17-limit]] [[just intonation]], '''32/17''' is the '''septendecimal major seventh''' or the '''septendecimal diminished octave''', depending on how one views it. It is also the octave-reduced 17th [[subharmonic]]. Its inversion is [[17/16]], the octave-reduced 17th harmonic. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]].

	== Terminology ==		== Terminology and notation ==
	There exists a disagreement in different conceptualization systems on whether 32/17 should be a major seventh or a diminished octave. The major seventh view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[243/128]], the Pythagorean major seventh. The diminished octave view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[4096/2187]], the Pythagorean diminished octave.		There exists a disagreement in different conceptualization systems on whether 32/17 should be a major seventh or a diminished octave. The major seventh view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[243/128]], the Pythagorean major seventh. The diminished octave view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[4096/2187]], the Pythagorean diminished octave.

			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

2023-01-12T09:07:48Z

Rework

← Older revision		Revision as of 09:07, 12 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~small~~ septendecimal major seventh		\| Name = septendecimal major seventh, septendecimal diminished octave
	\| Color name = 17u7, su 7th		\| Color name = 17u7, su 7th
	\| Sound = jid_32_17_pluck_adu_dr220.mp3		\| Sound = jid_32_17_pluck_adu_dr220.mp3
	}}		}}
	In [[17-limit]] [[just intonation]], '''32/17''' is the '''~~small~~ septendecimal major seventh''', ~~as well as~~ the 17th [[subharmonic]] octave-reduced. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]]~~, the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone"~~.		In [[17-limit]] [[just intonation]], '''32/17''' is the '''septendecimal major seventh''' or the '''septendecimal diminished octave''', depending on how one views it. It is also the octave-reduced 17th [[subharmonic]]. Its inversion is [[17/16]], the octave-reduced 17th harmonic. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]].

	There exists a disagreement in different ~~notation~~ systems on whether 32/17 should be ~~notated as~~ a major seventh or a diminished octave. ~~In the~~ [[Functional Just System]], it ~~is a~~ major seventh~~, whereas in~~ [[Helmholtz-Ellis notation]], it ~~is a~~ diminished octave.		== Terminology ==
			There exists a disagreement in different conceptualization systems on whether 32/17 should be a major seventh or a diminished octave. The major seventh view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[243/128]], the Pythagorean major seventh. The diminished octave view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[4096/2187]], the Pythagorean diminished octave.

	== 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

2022-10-25T14:59:14Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 14:59, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 32/17~~
	~~\| Monzo = 5 0 0 0 0 0 -1~~
	~~\| Cents = 1095.04459~~
	\| Name = small septendecimal major seventh		\| Name = small septendecimal major seventh
	\| Color name = 17u7, su 7th		\| Color name = 17u7, su 7th
	~~\| FJS name = M7<sub>17</sub>~~
	\| Sound = jid_32_17_pluck_adu_dr220.mp3		\| Sound = jid_32_17_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]]
	~~[[Category:Octave-reduced subharmonics]]~~

Fredg999: Misc. edits, categories

2022-03-23T12:44:50Z

Misc. edits, categories

← Older revision		Revision as of 12:44, 23 March 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~
	\| Ratio = 32/17		\| Ratio = 32/17
	\| Monzo = 5 0 0 0 0 0 -1		\| Monzo = 5 0 0 0 0 0 -1
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	\| Sound = jid_32_17_pluck_adu_dr220.mp3		\| Sound = jid_32_17_pluck_adu_dr220.mp3
	}}		}}
			In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095{{cent}}, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".

	In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".		There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In the [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.

	There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.

	== See also ==		== See also ==
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	[[Category:17-limit]]		[[Category:17-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]
			[[Category:Octave-reduced subharmonics]]

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

2022-02-22T23:51:32Z

Removing from Category:Listen using Cat-a-lot

← Older revision		Revision as of 23:51, 22 February 2022
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	[[Category:Interval ratio]]		[[Category:Interval ratio]]
	[[Category:Just interval]]		[[Category:Just interval]]
	~~[[Category:Listen]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]

FloraC: +FJS name; clarification

2020-10-19T12:22:50Z

+FJS name; clarification

← Older revision		Revision as of 12:22, 19 October 2020
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	\| Name = small septendecimal major seventh		\| Name = small septendecimal major seventh
	\| Color name = 17u7, su 7th		\| Color name = 17u7, su 7th
			\| FJS name = M7<sub>17</sub>
	\| Sound = jid_32_17_pluck_adu_dr220.mp3		\| Sound = jid_32_17_pluck_adu_dr220.mp3
	}}		}}

	In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".		In [[17-limit]] [[just intonation]], '''32/17''' is the '''small septendecimal major seventh''', as well as the 17th [[subharmonic]] octave-reduced. Measuring about 1095¢, it is the [[mediant]] between [[15/8]] and [[17/9]], the "large septendecimal major seventh". Its inversion is [[17/16]], the "large septendecimal semitone".

			There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In [[Functional Just System]], it is a major seventh, whereas in [[Helmholtz-Ellis notation]], it is a diminished octave.

	== See also ==		== See also ==
			* [[17/16]] – its [[octave complement]]
	* [[17/16]] its [[~~inverse interval~~]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

Xenwolf: -cat

2020-06-13T22:36:47Z

-cat

← Older revision		Revision as of 22:36, 13 June 2020
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	== See also ==		== See also ==

	* [[17/16]] its [[inverse interval]]		* [[17/16]] its [[inverse interval]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]
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	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:Listen]]		[[Category:Listen]]
	~~[[Category:Sound example]]~~
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]

Xenwolf: cats

2020-06-13T22:05:37Z

cats

← Older revision		Revision as of 22:05, 13 June 2020
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	[[Category:17-limit]]		[[Category:17-limit]]
	[[Category:Interval]]		[[Category:Interval ratio]]
	[[Category:Just interval]]		[[Category:Just interval]]
	[[Category:~~Ratio~~]]		[[Category:Listen]]
	[[Category:Sound example]]		[[Category:Sound example]]
	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Major seventh]]		[[Category:Major seventh]]