10/7 - Revision history

Eufalesio: Hemifamity approximation

2025-12-12T15:32:37Z

Hemifamity approximation

← Older revision		Revision as of 15:32, 12 December 2025
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	{{Wikipedia\|Septimal tritone}}		{{Wikipedia\|Septimal tritone}}

	In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10 – This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5.		In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10 – This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. It's well approximated by the Pythagorean augmented fourth [[729/512]], differing by [[5120/5103]].

	While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].		While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].

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

2025-11-03T13:13:55Z

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

← Older revision		Revision as of 13:13, 3 November 2025
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	While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].		While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].
	== Approximation ==		== Approximation ==
	{{~~Interval_Edo_Approximation~~ \| 10/7}}		{{Interval edo approximation\|10/7}}
	== See also ==		== See also ==
	* [[7/5]] – its [[octave complement]]		* [[7/5]] – its [[octave complement]]

Pailiaq at 07:28, 3 November 2025

2025-11-03T07:28:17Z

← Older revision		Revision as of 07:28, 3 November 2025
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	While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].		While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].
			== Approximation ==
			{{Interval_Edo_Approximation \| 10/7}}
	== See also ==		== See also ==
	* [[7/5]] – its [[octave complement]]		* [[7/5]] – its [[octave complement]]

FloraC: Heptatonic -> diatonic and misc. linking and style improvements

2024-10-09T09:34:35Z

Heptatonic -> diatonic and misc. linking and style improvements

← Older revision		Revision as of 09:34, 9 October 2024
Line 6:		Line 6:
	{{Wikipedia\|Septimal tritone}}		{{Wikipedia\|Septimal tritone}}

	In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10- This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5.		In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10 – This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5.

	While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth- an analysis that is required in cases where this interval occurs in a ~~heptatonic~~ scale that demonstrates [[Rothenberg propriety]].		While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s\|diatonic scale]] that demonstrates [[Rothenberg propriety]].

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

	* [[7/5]] – its [[octave complement]]		* [[7/5]] – its [[octave complement]]
	* [[21/20]] – its [[fifth complement]]		* [[21/20]] – its [[fifth complement]]

BudjarnLambeth: Add line break

2024-10-08T22:00:52Z

Add line break

← Older revision		Revision as of 22:00, 8 October 2024
Line 6:		Line 6:
	{{Wikipedia\|Septimal tritone}}		{{Wikipedia\|Septimal tritone}}

	In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10- This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth- an analysis that is required in cases where this interval occurs in a heptatonic scale that demonstrates [[Rothenberg propriety]].		In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10- This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5.

			While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth- an analysis that is required in cases where this interval occurs in a heptatonic scale that demonstrates [[Rothenberg propriety]].

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

FloraC: Recategorize

2024-09-30T08:42:32Z

Recategorize

← Older revision		Revision as of 08:42, 30 September 2024
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	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Over-7]]		[[Category:Over-7 intervals]]

Plumtree: Normalising usage of Infobox Interval

2022-10-25T11:59:56Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 11:59, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Ratio = 10/7~~		\| Name = high tritone, greater septimal tritone, Euler's tritone
	~~\| Monzo = 1 0 1 -1~~
	~~\| Cents = 617.48781~~
	\| Name = high tritone, ~~<br>~~greater septimal tritone, ~~<br>~~Euler's tritone
	\| Color name = ry4, ruyo 4th		\| Color name = ry4, ruyo 4th
	~~\| FJS name = A4<sup>5</sup><sub>7</sub>~~
	\| Sound = jid_10_7_pluck_adu_dr220.mp3		\| Sound = jid_10_7_pluck_adu_dr220.mp3
	}}		}}
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	* [[Gallery of just intervals]]		* [[Gallery of just intervals]]

	~~[[Category:7-limit]]~~
	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Over-7]]		[[Category:Over-7]]

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

2022-02-22T23:46:38Z

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

Fredg999: Added Wikipedia box, misc. edits, categories

2022-01-01T21:31:12Z

Added Wikipedia box, misc. edits, categories

← Older revision		Revision as of 21:31, 1 January 2022
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	\| Monzo = 1 0 1 -1		\| Monzo = 1 0 1 -1
	\| Cents = 617.48781		\| Cents = 617.48781
	\| Name = high tritone, <br>Euler's tritone		\| Name = high tritone, <br>greater septimal tritone, <br>Euler's tritone
	\| Color name = ry4, ruyo 4th		\| Color name = ry4, ruyo 4th
	\| FJS name = A4<sup>5</sup><sub>7</sub>		\| FJS name = A4<sup>5</sup><sub>7</sub>
	\| Sound = jid_10_7_pluck_adu_dr220.mp3		\| Sound = jid_10_7_pluck_adu_dr220.mp3
	}}		}}
			{{Wikipedia\|Septimal tritone}}

	In [[7-limit]] [[~~Just Intonation~~]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10- This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth- an analysis that is required in cases where this interval occurs in a heptatonic scale that demonstrates [[~~Wikipedia:Rothenberg propriety\|~~Rothenberg propriety]].		In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10- This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. While in the context of the harmonic seventh chord, it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth- an analysis that is required in cases where this interval occurs in a heptatonic scale that demonstrates [[Rothenberg propriety]].

	== See also ==		== See also ==
Line 15:		Line 16:
	* [[7/5]] – its [[octave complement]]		* [[7/5]] – its [[octave complement]]
	* [[21/20]] – its [[fifth complement]]		* [[21/20]] – its [[fifth complement]]
	* [[Gallery of ~~Just Intervals]]~~		* [[Gallery of just intervals]]
	* [[Wikipedia:Septimal_tritone\|Septimal tritone - Wikipedia]]

	[[Category:7-limit]]		[[Category:7-limit]]
	~~[[Category:Interval ratio]]~~
	~~[[Category:Just interval]]~~
	[[Category:Tritone]]		[[Category:Tritone]]
	[[Category:Over-7]]		[[Category:Over-7]]
	[[Category:Pages with internal sound examples]]		[[Category:Pages with internal sound examples]]

FloraC: Undo revision 66329 by Xenwolf (talk)

2021-04-12T09:10:52Z

Undo revision 66329 by Xenwolf (talk)

← Older revision		Revision as of 09:10, 12 April 2021
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph = [[File:ji_glyph_10_7.png\|x48px]]~~
	\| Ratio = 10/7		\| Ratio = 10/7
	\| Monzo = 1 0 1 -1		\| Monzo = 1 0 1 -1