chroma, prime-base 2

[Erlich:]
> I'd think it much more logical to say that
> the definition of even is "divisible by 2" rather
> than somehow defining evenness first. Then
> the fact that 2 is the only even prime number
> becomes just as unremarkable as the fact
> that 3 is the only prime number divisible by 3,
> 5 is the only prime number divisible by 5, etc.
>
> So your observation is true by definition. The
> relevance of this on our perceptions is left
> completely unexplained.

OK, Paul, you got me there. So apparently the
effect of octave-equivalence has more to do with
prime-base 2 have an extremely low weight
in Keenan's "musical complexity" prime-weights
formula than anything else. But to account
for the fact of octave-equivalency when no
other prime equivalency occurs anywhere near
as strongly, the curve of the weights must be
very low at 2 then rise sharply for 3 and above.

- Monzo
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