musical complexity (Daniel Wolf)

>In chapter 5 of his _Divisions of the Tetrachord_ (Frog Peak 1993)

I own this book, and should have thought to consult it.

>Some formulae from Chalmers:

Thanks Daniel!

>Barlow's formulae:
>(a) indigestibility: the indigestibility of p is equal to 2(p-1)^2/p

Gee, I don't see this looking like Keenan's weighting formula any time soon.

>(d, for the record, not in Chalmers) Euler's totient function, if N
>is a positive whole number, then phi(n) = one less than the number of
>positive whole numbers less than N which share no common divisors with
>N. e.g. 12 contains no factors common to at most the three numbers
>5,7,11, therefore phi(12)=3+1=4

Did you mean phi(12)=3-1=2?

Carl

>(d, for the record, not in Chalmers) Euler's totient function, if N
>is a positive whole number, then phi(n) = one less than the number of
>positive whole numbers less than N which share no common divisors with
>N. e.g. 12 contains no factors common to at most the three numbers
>5,7,11, therefore phi(12)=3+1=4

Did you mean phi(12)=3-1=2?

Carl