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error in Marchetto formula

🔗monz@xxxx.xxx

4/29/1999 7:54:55 AM

I wrote [TD 158.12]:

> n = numerator
> d = denominator
> p = part
> x = ordinal number of the part
>
> for n(p(x)), it's the sum of d(p(x-1)) + 2^(3*(x-1))
>
> and d(p(x-1)) = 3^(x*2+2)

That last line is incorrect, and should be:

d(p(x-1)) = 3^((x-1)*2+2)

or, in most simplified form,

d(p(x)) = 3^(x*2+2)

Joseph L. Monzo....................monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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