how come i never saw this before?

http://www.musikwissenschaft.uni-mainz.de/Musikinformatik/schriftenreihe/nr45/scale.pdf btw, what makes much more sense to me is to do multidimensional scaling based on a rationalization of the *interval matrix*, not the pitch matrix -- intervals are the objects of psychoacoustic consonance, not pitches. i've posted such multidimensional scaling results years ago. better yet would be to simply use the harmonic entropies of the intervals, which i think i did in a few posts as well. hmm, i'm getting an idea for a movie . . .

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