> On 2 Feb 2019, at 21:37, Dan Eble <d...@faithful.be> wrote:
> 
> Isn’t the salient property of an inversion simply which note is lowest in 
> pitch?

A formal description might be: A chord is a set of pitch classes numbered 0, 1, 
2, …, for the root 0 and inversions 1, 2, …. A realization of an inversion in 
pitches selects as representative the lowest note; there might preferences for 
the others pitch classes in the chord, but in principle, they could be put in 
any octave if only above the inversion pitch.

So the chord <C> <D> <E> <G> might be numbered 0 3 1 2 and then it is C9 with 
the 7th removed, or 0 1 2 3 which is C with the 2nd added. An inversion might 
renumbered and then becomes another chord.



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