[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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