[sdiy] Single chip (3 opamp) wave multiplier

[Ian Fritz]

Well, I had a further look at the math but didn't get anywhere. I went
through the Bessel chapter in the Whittaker and Watson analysis text
(original edition: 1902; not quite 100 years old, but maybe old enough!) and
some easier physics texts and couldn't find any applicable relations.
Interestingly, though, there is a Bessel equivalent of the Fourier integral
transform pair of equations. It just doesn't help in the current problem. So
it looks like the FM - wave folding resemblance really is coincidental.

I agree with the idea of looking for shapers with interesting sounds and
control parameters.

  Ian


----- Original Message -----
From: "jh." <jhaible at t-online.de>
To: "Martin Czech" <czech at Micronas.Com>; <ijfritz at earthlink.net>
Cc: <synth-diy at node12b53.a2000.nl>
Sent: Tuesday, February 13, 2001 2:14 AM
Subject: Re: [sdiy] Single chip (3 opamp) wave multiplier


> > It looks somehow similar and sounds somehow similar to me.
> > But we all know that things that sound allmost the same have no
> > mathematical link, so there is only some little hope...
> >
> > I must confess that the math close to Bessel expension is very hard
> > for me, and the math beyond is way over my head.
>
> Same for me. I fear I will not dig deeper into this mathematically either.
> FM is not the ultimate goal for me to approximate anyway. I want the
> shapers to sound good, and the CVs to be able to fade beween various
> interesting sounds, and that's what I'm going to develop further.
>
> JH.
>
>
>