RE: [harmonic_entropy] Comparison of Finnamore results with geome tric mean

Joseph Pehrson wrote,

>It looks to me as though the Finnamore results are pretty much
>following the geometric mean JI numbering, at least in the most
>consonant ones. You don't have to look very far to find a similar
>tetrad in the ordering, particularly for the first half of
>them...although there are a few anomalies...

More than a few, if you ask me.

>Why?? Dunno. Maybe the complexity of the chords makes them harder
>to rank clearly (??) Or maybe the otonal JI characteristics are not
>as evident in the more complex chords and the chords are not as
>immediately ranked by that factor...

In the dyadic case, the harmonic entropy model predicts that the geometric
mean is only a good ranking for dyads where the geometric mean is less than
8-10. I wouldn't be suprised if many of the geometric means for these chords
are well above the "limit" according to the tetradic harmonic entropy model,
once that's worked out.