reply to Paul Erlich re: chroma

> Chroma is the sensation of pitch
> independently of octave-specificity.

OK - your definition's better than mine.
(BTW, there have been lots of different
definitions of "chroma", some rather
contradictory of others)

> Nothing about periodicity pitch, and
> _certainly_ nothing about prime factoring,
> is stipulated or relevant.

Ah, but what happened to octave-specificity?
The reason it disappears is because
*we factor out prime-base 2*!!

I've mentioned here before that it's my
belief that the reason we perceive octave-
equivalence is because 2 is the only *even*
prime number.

And I just extrapolate the "equivalence"
effect, with progressively lessening strength,
to the other prime numbers - much in the
same way Dave Keenan did with his
"musical complexity" formula.

- Monzo
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Joe Monzo wrote,

>I've mentioned here before that it's my
>belief that the reason we perceive octave-
>equivalence is because 2 is the only *even*
>prime number.

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.