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@yahoo.com> 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 > > > [Non-text portions of this message have been removed]
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Re: [Doepfer_a100] Re: A160-2 poll
2010-02-19 by Monroe Eskew
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