[PD] converting decimal to binary

[Chuckk Hubbard]

It is an approximation, and gets closer and closer, and it works if
you start with ANY 2 positive numbers and make a Fibonacci-esque
series from them.  You could start with 2 and 417, then 419, 836,
1255, etc, and gradually the ratios of consecutive members of the
series start to approach the golden ratio.

The golden ratio is defined by
x=1/x + 1

when you take, for instance, 13/8, that is 1 + 5/8... or 21/13 is 1 +
8/13... 34/21 is 1 + 13/21, because of the way you obtain each number.
 Always 1 + the reciprocal of the previous ratio.  So you will never
quite reach the golden ratio, but you alternately go slightly higher
and slightly lower, getting gradually closer.



On 6/29/06, Federico <xaero at inwind.it> wrote:
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> Mathieu Bouchard wrote:
> > On Wed, 28 Jun 2006, padawan12 wrote:
> >
> >> Carey and Mouerlon are both known for fibonacci based syncopations. It
> >> seems there are indeed many useful rythmnic applications contained in
> >> the fib sequence, off the top of my head I haven't a clue why, one to
> >> research. This is most definitely not "house" though. :)
> >
> > The Fibonacci sequence has this peculiarity that any two consecutive
> > numbers are coprime.
>
> and also: if you divide any fib number by its preceeding number, you get
> the "magic" number (the one of Pitagora's sectio aurea)
>
> (this works better with numbers > 100)
>
> try it yourself. here is an old post of mine:
> http://lists.puredata.info/pipermail/pd-list/2005-02/025822.html
>
>
> - --
> Federico
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