[PD] converting decimal to binary

[padawan12]

Interesting stuff, so it's a very useful sequence for seeking
non coincidence. A fib sequence based reverb algorithm
is immediately desirable. 

On Fri, 30 Jun 2006 00:23:47 -0400
"Chuckk Hubbard" <badmuthahubbard at gmail.com> wrote:

> 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.
> 

I forgot, what's the name for a curve that oscillates (asymptotically?) around
a value converging on it, in the purest mathspeak?

And I was thinking about this when playing with your microtone stuff Chuck,
computing arbitary arithmetic sequences (as expressions) in Pd to some
depth, like is [expr] the best way to think about that iyho?

Andy



> 
> 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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> >
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> 
> -- 
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