Every number has a unique decomposition as a product of primes. So if the
dividers that do only prime divisions, then you can get the composite
divisions by daisy-chaining several together. (i.e. to get a 6 division
daisy-chain 2 with 3). Because of this property a primes-only module is
more useful than a Fibonacci-only module, since you will get a more diverse
set of divisions via daisy-chains. (Also 8 is Fibonacci and the A160
already does division by 8).

Unfortunately Dieter cannot make a module that does all and only prime
divisions, since then he would create a small machine that would solve many
hard math problems faster than our fastest supercomputers.

...or maybe he can.... [cue mad scientist music]....

On Wed, Feb 17, 2010 at 1:53 AM, Nick < nick_blackburn@... > wrote:

>
>
> --- In Doepfer_a100@yahoogroups.com <Doepfer_a100%40yahoogroups.com>,
> Bakis Sirros <synth_freak_2000@...> wrote:
> >
> > prime divisions
> > please, refresh my maths a bit...
> >
>
> hi Bakis
>
> Sorry to drag the conversation back to this, but you did ask.
> The reason this idea came to mind was a recent piece in The Times referring
> to a lecture by Marcus du Sautoy at the Royal Society available here:
> http://royalsociety.org/Video-Library/#
>
> Entitled The secret mathematicians, it concerned the use of maths in art
> and starts with a piece by Messiaen, Quartet for the End of Time. It uses
> rhythms of 17 and 29 beats - as these are prime numbers, a sequence would
> not repeat (at least until you get to 17*29).
>
> I think La Monte Young used primes too.
>
> The lecture also refers to the Fibonacci series which I think is mentioned
> in a later post but I haven't got there yet.
>
> Anyway, as I play with long automated noises, I thought prime-based rhythms
> would be fun.
>
> A prime number is only divisible by one and itself (2, 3, 5, 7, 11, 13, 17
> etc).
>
> Cheers, Nick
>
>
>


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