[PD] converting decimal to binary

[Chuckk Hubbard]

On 7/3/06, padawan12 <padawan12 at obiwannabe.co.uk> wrote:
>
> On Fri, 30 Jun 2006 00:23:47 -0400
> "Chuckk Hubbard" <badmuthahubbard at gmail.com> wrote:
>
> >  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?

Got me.  Curious if you find out.


>
> 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?

Like to modulate continuously?  I think the best way to do that would
be to change the base frequency and keep the ratios simple, imho,
provided you don't intend to modulate back.  I don't know how it
affects the sound, but trying to modulate the way my patch does, with
numerator/denominator stored separately, sometimes leads quickly to
strange floating point errors in both that will never go away.
Or if you mean to sequence higher harmonics, then yeah, expression
seems like it would work well.  $f1 could be base frequency, and
$f2-$fn harmonics of it, outputting midi note numbers or frequency.
Either of those what you are thinking?



>
> 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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-- 
"Far and away the best prize that life has to offer is the chance to
work hard at work worth doing."
-Theodore Roosevelt