in news:web.60664f78e8731e131f9dae3025979125@news.povray.org Bald Eagle
wrote: 

> Perlin Noise, Simplex Noise, or a Perlin smooth-stepped function?   
> ;) https://en.wikipedia.org/wiki/Smoothstep#Variations

the noise generator option 3. 
 
> The Klein bottle sounds interesting, as does a Moebius strip.

I tried both in SuperCollider and the Bottle does interesting thing. More 
than I expected in just noise. The strip I have to try again with swapped 
uv coordinates. It was just verry noisy.
 
> I am thinking that I'd like to see a "simple" spline-driven song as
> an animation, with sheet music.  Likely jr would love to see animated
> media musical notes.

Haha, go ahead. I'm not a musician. When I look at a piano it quickly 
goes out of tune :)

> I find this extremely interesting, because one of the ideas I had
> about the FFT was to analyze sound files, identify notes, and then do
> what you're doing. 

Kind of the opposite of FFT is an intersting one. Massive additive 
syntesis of sine waves. Check the ANS synthesizer. I have a basic 
experiment working but have to extend that a lot more. Check 
https://warmplace.ru/soft/ans/#about for what can be done. A goal for me 
would be to create a collection of snippets of texture on a disc object 
or polygon that can be placed in the scene and rendered to sound. 

> What do you think about a POV-Ray modeled phonograph, with a vinyl
> album made from a heightfield?   The grooves could be a spiral
> function.  :) 
> 
> Or an old Edison wax cylinder phonograph.
> 
https://en.wikipedia.org/wiki/Music_box
https://en.wikipedia.org/wiki/Optical_sound

Then there's using splines as envelope's Attack Decay Sustain Release 
(ADSR). You can use textures with tracks for rithmic patters. Extend that 
idea to sequencers.

And before you know you are knee deep in DSP terretory with FIR filters 
etc.  https://www.musicdsp.org/en/latest/index.html

Ingo

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