[sdiy] Stretched harmonic synthesis

Mike Bryant mbryant at futurehorizons.com
Sat Feb 19 23:24:27 CET 2022

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?


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.html
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