> 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.