musical complexity (Daniel Wolf) Correction!

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>From: Carl Lumma <clumma@nni.com>

>(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?
<

Sorry! I mis-typed. I now cite Barlo's (_Bus Journey to Parametron_ p.22)
correct version:

"At first, Euler's totient function "phi" seemed to be what I needed: if N
is a positive whole number, phi(n) according to Euler's definition is one
LARGER 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."