On Feb 2, 2019, at 14:36, [email protected] wrote:
> Oh.  Then this becomes a whole other can of worms; what should be the
> correct inversion of an 11th chord?
> 
> Should
> <c' e' g' b' d'' f''>
> become
> <e' g' b' d'' f'' c'''> (as you seem to suggest)
> or
> <e' g' b' c'' d'' f''> (as the current code produces)?


Isn’t the salient property of an inversion simply which note is lowest in 
pitch?  (It has been a long time since I studied music theory.)  If so, both of 
those fit, as does the chord resulting from lowering the e' by an octave.

Does it help to ask how a music theoretician describes the expected result of 
inverting a chord a number of times equal to the number of notes in the chord?  
Your examples would differ by an octave after that.

Speaking as a software designer, if you have implemented a useful function that 
is more limited than the conventional musical concept of inversion, consider 
giving it a different name—one that is descriptive without being misleading.

Regards,
— 
Dan


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