[r-t] irregular leadheads

Richard Smith richard at ex-parrot.com
Fri Dec 3 10:54:17 UTC 2004

Peter King wrote:

> I agree entirely that on n bells there are n-1 (regular) lead heads, but
> if n-1 is not prime some of these may lead to cycles less than n-1
> (which are obviously factors of n-1) and so lead to courses of less than
> n-1 leads. Whilst there is nothing wrong with this I chose explcitly to
> disallow these (entirely my choice) and so not to consider
> differentials. Then I presume I reduce the total by the prime factors of
> n-1 (or some such number). I suppose I should have asked how many
> non-differntial lead heads are there. I am probably being a bit opaque
> in my terminology (or perhaps my understanding).

I too was excluding differential lead heads.  The number of
non-differential (n-1)-lead lead heads is (n-2)!
irrespective of whether (n-1) is prime.


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