4:5:7: Difference between revisions

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{{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]].

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 ==

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[[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"]]

== Related chords ==

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

* [[28:35:40]] – its inverse

[[Category:Italian sixth chords|#]]

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 {{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]].
+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 ==
@@ Line 7: / Line 9: @@
 [[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"]]
+{{chord edo approximation}}
 == Related chords ==
 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
+* [[28:35:40]] – its inverse
 [[Category:Italian sixth chords|#]]