12/7 - Revision history

Overthink: less obscure chord example; 4:5:7:9:12 is more often written as 4:5:6:7:9

2025-12-25T08:39:45Z

less obscure chord example; 4:5:7:9:12 is more often written as 4:5:6:7:9

← Older revision		Revision as of 08:39, 25 December 2025
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	{{Wikipedia\| Septimal major sixth }}		{{Wikipedia\| Septimal major sixth }}

	In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as [[70:84:105:120\|1/(12:10:8:7)]]. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|12/7}}		{{Interval edo approximation\|12/7}}

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

2025-11-03T13:14:43Z

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

← Older revision		Revision as of 13:14, 3 November 2025
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	In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 12/7}}		{{Interval edo approximation\|12/7}}

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

Pailiaq at 07:42, 3 November 2025

2025-11-03T07:42:53Z

← Older revision		Revision as of 07:42, 3 November 2025
Line 7:		Line 7:

	In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 12/7}}

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

VectorGraphics at 16:59, 14 April 2025

2025-04-14T16:59:17Z

← Older revision		Revision as of 16:59, 14 April 2025
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	{{Wikipedia\| Septimal major sixth }}		{{Wikipedia\| Septimal major sixth }}

	In [[7-limit]] [[just intonation]], '''12/7''' is the ~~'''supermajor sixth''' or~~ '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''septimal (super)major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

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

FloraC: Recategorize

2024-09-30T08:43:09Z

Recategorize

← Older revision		Revision as of 08:43, 30 September 2024
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	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Supermajor sixth]]		[[Category:Supermajor sixth]]
	[[Category:Over-7]]		[[Category:Over-7 intervals]]

FloraC: Fix links

2023-08-14T11:27:20Z

Fix links

← Older revision		Revision as of 11:27, 14 August 2023
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	== See also ==		== See also ==
	* [[7/6]] – its [[octave complement]]		* [[7/6]] – its [[octave complement]]
	* [[12/7]] – its [[twelfth complement]]		* [[7/4]] – its [[twelfth complement]]
	* [[Gallery of ~~Just Intervals~~]]		* [[Gallery of just intervals]]
	* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample		* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

FloraC: +twelfth complement

2023-08-14T11:27:02Z

+twelfth complement

← Older revision		Revision as of 11:27, 14 August 2023
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	\| Sound = jid_12_7_pluck_adu_dr220.mp3		\| Sound = jid_12_7_pluck_adu_dr220.mp3
	}}		}}
	{{Wikipedia\|Septimal major sixth}}		{{Wikipedia\| Septimal major sixth }}

	In [[7-limit]] [[just intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

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

	* [[7/6]] – its [[octave complement]]		* [[7/6]] – its [[octave complement]]
			* [[12/7]] – its [[twelfth complement]]
	* [[Gallery of Just Intervals]]		* [[Gallery of Just Intervals]]
	* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample		* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

Plumtree: Normalising usage of Infobox Interval

2022-10-25T12:30:46Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 12:30, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 12/7~~		\| Name = supermajor sixth, septimal major sixth
	~~\| Monzo = -2 -1 0 1~~
	~~\| Cents = 933.12909~~
	\| Name = supermajor sixth, ~~<br>~~septimal major sixth
	\| Color name = r6, ru 6th		\| Color name = r6, ru 6th
	~~\| FJS name = M6<sub>7</sub>~~
	\| Sound = jid_12_7_pluck_adu_dr220.mp3		\| Sound = jid_12_7_pluck_adu_dr220.mp3
	}}		}}
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	* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample		* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

	~~[[Category:7-limit]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Supermajor sixth]]		[[Category:Supermajor sixth]]
	[[Category:Over-7]]		[[Category:Over-7]]

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

2022-02-22T23:46:39Z

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:Supermajor sixth]]		[[Category:Supermajor sixth]]
	[[Category:Over-7]]		[[Category:Over-7]]
	~~[[Category:Pages with internal sound examples]]~~

Fredg999: Added Wikipedia box, misc. edits, categories

2021-12-12T05:20:02Z

Added Wikipedia box, misc. edits, categories

← Older revision		Revision as of 05:20, 12 December 2021
Line 8:		Line 8:
	\| Sound = jid_12_7_pluck_adu_dr220.mp3		\| Sound = jid_12_7_pluck_adu_dr220.mp3
	}}		}}
			{{Wikipedia\|Septimal major sixth}}

	In [[7-limit]] [[~~Just Intonation~~]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].		In [[7-limit]] [[just intonation]], '''12/7''' is the '''supermajor sixth''' or '''septimal major sixth''' of about 933.1¢. It represents the interval between the 12th and 7th harmonics and appears in chords such as 4:5:7:9:12. It differs from the 5-limit major sixth of [[5/3]] by [[36/35]] – the septimal quartertone – a [[superparticular]] interval of about 48.8¢. It differs from the Pythagorean major sixth of [[27/16]] by [[64/63]] – Archytas' comma – about 27.3¢. And finally, it differs from the harmonic seventh of [[7/4]] by [[49/48]] – the large septimal diesis or slendro diesis – about 35.7¢. 12/7 is the inversion of the septimal subminor third of [[7/6]].

	== See also ==		== See also ==
Line 15:		Line 16:
	* [[7/6]] – its [[octave complement]]		* [[7/6]] – its [[octave complement]]
	* [[Gallery of Just Intervals]]		* [[Gallery of Just Intervals]]
	* [[Wikipedia:Septimal major sixth\|Septimal major sixth - Wikipedia]]
	* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample		* [[:File:Ji-12-7-csound-foscil-220hz.mp3]] – an alternative sound sample

	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval]]~~
	[[Category:Sixth]]		[[Category:Sixth]]
	[[Category:Major sixth]]		[[Category:Major sixth]]
	[[Category:Supermajor sixth]]		[[Category:Supermajor sixth]]
	~~[[Category:Just interval]]~~
	[[Category:Over-7]]		[[Category:Over-7]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]