7/6 - Revision history

Overthink: nvm

2025-12-24T09:53:53Z

nvm

← Older revision		Revision as of 09:53, 24 December 2025
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	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:6:7.		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:6:7.

	~~__TOC__~~
	~~{{Clear}}~~
	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|7/6}}		{{Interval edo approximation\|7/6}}

TallKite: replaced 4:7:12 with 4:6:7. 7/6 is more consonant than 12/7, plus 7/6 is more relevant to the article, which is after all about 7/6.

2025-12-17T08:55:03Z

replaced 4:7:12 with 4:6:7. 7/6 is more consonant than 12/7, plus 7/6 is more relevant to the article, which is after all about 7/6.

← Older revision		Revision as of 08:55, 17 December 2025
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	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:7:~~12, constructed with [[7/4]] and [[12/~~7]].		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:6:7.

	__TOC__		__TOC__
	{{Clear}}		{{Clear}}

Overthink: expanded page a bit

2025-12-15T03:38:31Z

expanded page a bit

← Older revision		Revision as of 03:38, 15 December 2025
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	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 ~~minor~~ triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a [[6:7:9]] subminor triad can sound very stable compared to a [[14:18:21]] supermajor triad. It can also be used with [[8/7]] in a [[6:7:8]] triad dividing [[4/3]] rather than [[3/2]], though this chord is better voiced as 4:7:12, constructed with [[7/4]] and [[12/7]].
			__TOC__
			{{Clear}}
	== Approximation ==		== Approximation ==
	{{Interval edo approximation\|7/6}}		{{Interval edo approximation\|7/6}}
			== Temperaments ==
			7/6 can be used as a generator for several temperaments, most notably [[orwell]], where two subminor thirds reach [[11/8]], three reach [[8/5]], and seven reach [[3/2]]. It also generates [[septimin]].

			It is almost perfectly approximated by [[9edo\|2\9]], and is represented as such in the [[septiennealimmal clan]], including [[ennealimmal]].
	== See also ==		== See also ==
	* [[12/7]] – its [[octave complement]]		* [[12/7]] – its [[octave complement]]

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

2025-11-03T13:14:44Z

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]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 7/6}}		{{Interval edo approximation\|7/6}}
	== See also ==		== See also ==
	* [[12/7]] – its [[octave complement]]		* [[12/7]] – its [[octave complement]]

Pailiaq at 06:58, 3 November 2025

2025-11-03T06:58:46Z

← Older revision		Revision as of 06:58, 3 November 2025
Line 7:		Line 7:

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .
			== Approximation ==
			{{Interval_Edo_Approximation \| 7/6}}
	== See also ==		== See also ==
	* [[12/7]] – its [[octave complement]]		* [[12/7]] – its [[octave complement]]

Sintel: internal link

2025-04-16T15:07:39Z

internal link

← Older revision		Revision as of 15:07, 16 April 2025
Line 6:		Line 6:
	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>Hermann L. F. von Helmholtz (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>[[Hermann von Helmholtz\|Hermann L. F. von Helmholtz]] (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .

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

Sintel: add ref

2025-04-16T14:44:13Z

add ref

← Older revision		Revision as of 14:44, 16 April 2025
Line 6:		Line 6:
	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' <ref>Hermann L. F. von Helmholtz (1875). ''On the sensations of tone as a physiological basis for the theory of music'', p. 284.</ref> or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .

	== See also ==		== See also ==
Line 14:		Line 14:
	* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]		* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

			== References ==
			<references />

	[[Category:Third]]		[[Category:Third]]

Sintel: Undo revision 192130 by VectorGraphics (talk)

2025-04-16T14:42:38Z

Undo revision 192130 by VectorGraphics (talk)

← Older revision		Revision as of 14:42, 16 April 2025
Line 6:		Line 6:
	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the '''septimal ~~(sub)~~minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''subminor third''' or '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .

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

VectorGraphics: sounds -> may sound, some people's perception of relation between notes at all is diminished by pitch distance

2025-04-14T16:58:49Z

sounds -> may sound, some people's perception of relation between notes at all is diminished by pitch distance

← Older revision		Revision as of 16:58, 14 April 2025
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	* [[9/7]] – its [[fifth complement]]		* [[9/7]] – its [[fifth complement]]
	* [[8/7]] – its [[fourth complement]]		* [[8/7]] – its [[fourth complement]]
	* [[7/3]] – the interval plus one [[octave]] ~~sounds~~ even more [[consonant]]		* [[7/3]] – the interval plus one [[octave]] may sound even more [[consonant]]
	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

VectorGraphics at 16:56, 14 April 2025

2025-04-14T16:56:41Z

← Older revision		Revision as of 16:56, 14 April 2025
Line 6:		Line 6:
	{{Wikipedia\|Septimal minor third}}		{{Wikipedia\|Septimal minor third}}

	In [[7-limit]] [[just intonation]], '''7/6''' is the ~~'''subminor third''' or~~ '''septimal minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .		In [[7-limit]] [[just intonation]], '''7/6''' is the '''septimal (sub)minor third'''. At about 267 cents, it is smaller than both the [[5-limit]] minor third ([[6/5]], ~316 cents) and the familiar [[12edo]] minor third (300 cents). In contrast to [[5/4]] and [[6/5]], 7/6 is noticeably more consonant than it's counterpart [[9/7]], and a 6:7:9 minor triad can sound very stable compared to 14:18:21 .

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