4:5:7: Difference between revisions

Note the utility of 4:7:10
Fundamental consonance -> fundamental otonal consonance. + link
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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 ==