4:5:7 - Revision history

Pailiaq at 04:27, 26 May 2026

2026-05-26T04:27:59Z

← Older revision		Revision as of 04:27, 26 May 2026
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	[[File:SculpEufaDem5-7-8-onD.mp3\|none\|thumb\|5:7:8 "1st inversion"]]		[[File:SculpEufaDem5-7-8-onD.mp3\|none\|thumb\|5:7:8 "1st inversion"]]
	[[File:SculpEufaDem7-8-10-onD.mp3\|none\|thumb\|7:8:10 "2nd inversion"]]		[[File:SculpEufaDem7-8-10-onD.mp3\|none\|thumb\|7:8:10 "2nd inversion"]]

			{{chord edo approximation}}

	== Related chords ==		== Related chords ==

FloraC: Fundamental consonance -> fundamental otonal consonance. + link

2026-03-17T08:16:54Z

Fundamental consonance -> fundamental otonal consonance. + link

← Older revision		Revision as of 08:16, 17 March 2026
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	'''4:5:7''', the ''fifthless harmonic seventh chord'', is a [[7-limit]] chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].		'''4:5:7''', the ''fifthless harmonic seventh chord'', is a [[7-limit]] chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].

	The open voicing '''4:7:10''' may be used as a fundamental consonance of the [[2.5.7 subgroup]]. It inverts to 14:20:35 with the middle voice contrasting by [[49/40]].		The open voicing '''4:7:10''' may be used as a fundamental otonal consonance of the [[2.5.7 subgroup]]. It inverts to [[14:20:35]] with the middle voice contrasting by [[49/40]].

	== Rotations around the octave ==		== Rotations around the octave ==

FloraC: Note the utility of 4:7:10

2026-03-17T08:13:09Z

Note the utility of 4:7:10

← Older revision		Revision as of 08:13, 17 March 2026
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	'''4:5:7''', the ''fifthless harmonic seventh chord'', is a [[7-limit]] chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].		'''4:5:7''', the ''fifthless harmonic seventh chord'', is a [[7-limit]] chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].

			The open voicing '''4:7:10''' may be used as a fundamental consonance of the [[2.5.7 subgroup]]. It inverts to 14:20:35 with the middle voice contrasting by [[49/40]].

	== Rotations around the octave ==		== Rotations around the octave ==
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	== Related chords ==		== Related chords ==
	Chords related to this triad (5-limit except where noted):		Chords related to this triad (5-limit except where noted):
	* 4:7:10 – open voicing
	* [[4:6:7]] – no-fives version		* [[4:6:7]] – no-fives version
	* [[4:5:6:7]] – full tetrad		* [[4:5:6:7]] – full tetrad

FloraC: + a possible name, + link to inverse

2026-01-24T08:26:20Z

+ a possible name, + link to inverse

← Older revision		Revision as of 08:26, 24 January 2026
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	{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}		{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}

	'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].		'''4:5:7''', the ''fifthless harmonic seventh chord'', is a [[7-limit]] chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].

	== Rotations around the octave ==		== Rotations around the octave ==
Line 9:		Line 9:

	== Related chords ==		== Related chords ==
	Chords related to this triad (5-limit except where noted):		Chords related to this triad (5-limit except where noted):
	* 4:7:10 - open voicing		* 4:7:10 – open voicing
	* [[4:6:7]] - no fives version		* [[4:6:7]] – no-fives version
	* [[4:5:6:7]] - full tetrad		* [[4:5:6:7]] – full tetrad
			* [[28:35:40]] – its inverse

	[[Category:Italian sixth chords\|#]]		[[Category:Italian sixth chords\|#]]

FloraC at 10:11, 10 November 2025

2025-11-10T10:11:19Z

← Older revision		Revision as of 10:11, 10 November 2025
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	'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].		'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord\|Italian augmented sixth chord]] in [[septimal meantone]].

	== ~~<span data-darkreader-inline-color="">~~Rotations around the octave~~</span>~~ ==		== Rotations around the octave ==
	[[File:SculpEufaDem4-5-7-onD.mp3\|none\|thumb\|4:5:7 "Root position"]]		[[File:SculpEufaDem4-5-7-onD.mp3\|none\|thumb\|4:5:7 "Root position"]]
	[[File:SculpEufaDem5-7-8-onD.mp3\|none\|thumb\|5:7:8 "1st inversion"]]		[[File:SculpEufaDem5-7-8-onD.mp3\|none\|thumb\|5:7:8 "1st inversion"]]
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	== Related chords ==		== Related chords ==
	Chords related to this triad (5-limit except where noted):		Chords related to this triad (5-limit except where noted):

	* 4:7:10 - open voicing		* 4:7:10 - open voicing
	* [[4:6:7]] - no fives version		* [[4:6:7]] - no fives version

Eufalesio: added sounds and related chords

2025-11-09T15:19:27Z

added sounds and related chords

@@ Line 1: / Line 1: @@
 {{Infobox Chord|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}
-'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].
+'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord|Italian augmented sixth chord]] in [[septimal meantone]].
 [[Category:Italian sixth chords|#]]

BudjarnLambeth: {{stub}}

2024-10-06T23:30:36Z

← Older revision		Revision as of 23:30, 6 October 2024
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	[[Category:Italian sixth chords\|#]]		[[Category:Italian sixth chords\|#]]

			{{stub}}

TallKite at 19:28, 24 September 2024

2024-09-24T19:28:50Z

← Older revision		Revision as of 19:28, 24 September 2024
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	{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,~~z7n5~~, har-7 no-5 or ~~h7n5~~}}		{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7no5, har-7 no-5 or h7no5}}

	'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].		'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].

	[[Category:Italian sixth chords\|#]]		[[Category:Italian sixth chords\|#]]

TallKite at 01:03, 24 September 2024

2024-09-24T01:03:34Z

← Older revision		Revision as of 01:03, 24 September 2024
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	{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7n5~~<br>~~har-7 no-5 or h7n5}}		{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7n5, har-7 no-5 or h7n5}}

	'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].		'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].

	[[Category:Italian sixth chords\|#]]		[[Category:Italian sixth chords\|#]]

TallKite at 00:55, 24 September 2024

2024-09-24T00:55:44Z

← Older revision		Revision as of 00:55, 24 September 2024
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	{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7n5		{{Infobox Chord\|ColorName=yo zo-7 no-5 or y,z7n5<br>har-7 no-5 or h7n5}}
	har-7 no-5 or h7n5}}

	'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].		'''4:5:7''' is a 7-limit chord found as a subset of the harmonic seventh chord, [[4:5:6:7]]. It is used as a tuning target for the [[Italian sixth chord]] in [[septimal meantone]].

	[[Category:Italian sixth chords\|#]]		[[Category:Italian sixth chords\|#]]