4:5:7: Difference between revisions

+ a possible name, + link to inverse
Note the utility of 4:7:10
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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