4:5:7: Difference between revisions
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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 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 == | ||
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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 == | ||
Chords related to this triad (5-limit except where noted): | Chords related to this triad (5-limit except where noted): | ||
* [[4:6:7]] – no-fives version | * [[4:6:7]] – no-fives version | ||
* [[4:5:6:7]] – full tetrad | * [[4:5:6:7]] – full tetrad | ||