29/16 - Revision history

Overthink: /* Approximation */ fix statement

2026-01-11T20:55:22Z

Approximation: fix statement

← Older revision		Revision as of 20:55, 11 January 2026
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	== Approximation ==		== Approximation ==
	This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.		This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being 1/7 of the [[jackpot comma]], 17249876309/17179869184.
	{{Interval edo approximation\|29/16}}		{{Interval edo approximation\|29/16}}

2025-11-03T13:15:44Z

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

← Older revision		Revision as of 13:15, 3 November 2025
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	== Approximation ==		== Approximation ==
	This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.		This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.
	{{~~Interval_Edo_Approximation~~ \| 29/16}}		{{Interval edo approximation\|29/16}}

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

2025-11-03T07:46:33Z

← Older revision		Revision as of 07:46, 3 November 2025
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	== Approximation ==		== Approximation ==
	This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.		This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.
			{{Interval_Edo_Approximation \| 29/16}}

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

2024-08-19T19:02:53Z

← Older revision		Revision as of 19:02, 19 August 2024
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	== Approximation ==		== Approximation ==
	This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it.		This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.

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

2024-02-28T09:09:40Z

+context

← Older revision		Revision as of 09:09, 28 February 2024
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	\| Sound = jid_29_16_pluck_adu_dr220.mp3		\| Sound = jid_29_16_pluck_adu_dr220.mp3
	}}		}}
	'''29/16''', the '''vicesimononal supraminor seventh''', is the [[octave reduction\|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9\|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5\|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).		In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also the [[octave reduction\|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9\|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5\|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).

	== Approximation ==		== Approximation ==

2024-02-28T09:03:37Z

← Older revision		Revision as of 09:03, 28 February 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = octave-reduced 29th harmonic~~, vicesimononal supraminor seventh~~		\| Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic
	\| Color name = 29o7, tweno 7th		\| Color name = 29o7, tweno 7th
	\| Sound = jid_29_16_pluck_adu_dr220.mp3		\| Sound = jid_29_16_pluck_adu_dr220.mp3

2024-02-28T09:00:11Z

← Older revision		Revision as of 09:00, 28 February 2024
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	== Approximation ==		== Approximation ==
	This interval is very accurately approximated by [[7edo]] (6\7).		This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it.

	== See also ==		== See also ==
	* [[32/29]] – its [[octave complement]]		* [[32/29]] – its [[octave complement]]
			* [[48/29]] – its [[twelfth complement]]

	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Minor seventh]]		[[Category:Minor seventh]]
	[[Category:Equable heptatonic]]		[[Category:Equable heptatonic]]

2024-02-28T08:55:11Z

Expand

← Older revision		Revision as of 08:55, 28 February 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Name = 29th harmonic, ~~undetricesimal~~ supraminor seventh		\| Name = octave-reduced 29th harmonic, vicesimononal supraminor seventh
	\| Color name = 29o7, tweno 7th		\| Color name = 29o7, tweno 7th
	\| Sound = jid_29_16_pluck_adu_dr220.mp3		\| Sound = jid_29_16_pluck_adu_dr220.mp3
	}}		}}
			'''29/16''', the '''vicesimononal supraminor seventh''', is the [[octave reduction\|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9\|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5\|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).

	~~'''29/16'''~~ is ~~the~~ [[~~Octave reduction\|octave-reduced]] 29th [[harmonic~~]]. ~~The [[octave complement]] is~~ [[32/29]]~~. It is sharp of the classic minor seventh (~~[[~~9/5]]) by [[145/144~~]] ~~(~12 [[Cent\|¢]]).~~		== Approximation ==
			This interval is very accurately approximated by [[7edo]] (6\7).

			== See also ==
			* [[32/29]] – its [[octave complement]]

	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Minor seventh]]		[[Category:Minor seventh]]
	[[Category:Equable heptatonic]]		[[Category:Equable heptatonic]]

2023-07-22T04:33:34Z

← Older revision		Revision as of 04:33, 22 July 2023
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	[[Category:Seventh]]		[[Category:Seventh]]
	[[Category:Minor seventh]]		[[Category:Minor seventh]]
			[[Category:Equable heptatonic]]
	~~{{todo\|expand}}~~

2023-07-15T09:01:39Z

← Older revision		Revision as of 09:01, 15 July 2023
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	}}		}}

	'''29/16''' is the [[Octave reduction\|octave-reduced]] 29th [[harmonic]]. The [[octave complement]] is [[32/29]]. It is sharp of the classic minor seventh ([[9/5]]) by [[145/144]] (~12 [[Cent\|¢]])		'''29/16''' is the [[Octave reduction\|octave-reduced]] 29th [[harmonic]]. The [[octave complement]] is [[32/29]]. It is sharp of the classic minor seventh ([[9/5]]) by [[145/144]] (~12 [[Cent\|¢]]).

	[[Category:Seventh]]		[[Category:Seventh]]