[sdiy] Stretched harmonic synthesis

[Mike Bryant]

Any differential equation solver needs to integrate.


-----Original Message-----
From: cheater cheater [mailto:cheater00social at gmail.com] 
Sent: 19 February 2022 23:50
To: Mike Bryant
Cc: synth-diy at synth-diy.org
Subject: Re: [sdiy] Stretched harmonic synthesis

You're talking about PDEs.

On Sat, Feb 19, 2022 at 11:24 PM Mike Bryant <mbryant at futurehorizons.com> wrote:
>
> All differential equations require a delay to solve them - either z-1 
> in digital or s-1 in analogue (often an integrator but can be a sample 
> and hold)
>
> -----Original Message-----
> From: Synth-diy [mailto:synth-diy-bounces at synth-diy.org] On Behalf Of 
> cheater cheater via Synth-diy
> Sent: 19 February 2022 20:57
> To: synth-diy
> Subject: Re: [sdiy] Stretched harmonic synthesis
>
> I was wondering if anyone knows any ODEs which generate a signal with harmonics which are progressively stretched? Meaning higher partials are further apart.
>
> Or alternatively progressively contracted - higher partials are closer together.
>
> Are ODEs the only kind of differential equation that can be solved without a delay line?
>
> Thanks
>
>
> On Fri, Feb 18, 2022 at 6:07 PM cheater cheater <cheater00social at gmail.com> wrote:
> >
> > Hi, I was wondering if anyone ever tried Karplus-Strong synthesis 
> > with an all-pass filter (APF) in the feedback, in order to obtain 
> > stretched tuning, and what your results were.
> >
> > https://ccrma.stanford.edu/~jos/pasp/Dispersive_1D_Wave_Equation.htm
> > l
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