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Author Topic: (Other) music from periodic attractors in the Mandelbrot set  (Read 549 times)

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Offline claude

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(Other) music from periodic attractors in the Mandelbrot set
« on: September 24, 2018, 02:04:50 PM »
in 2010 I used Pure-data https://puredata.info and GridFlow https://gridflow.ca to make a Mandelbrot set explorer with sonification.

A video of it in action is here: https://mathr.co.uk/tmp/2018-09-24T12-05-05.mkv (20MB, 10mins)
Source code is at: https://code.mathr.co.uk/zzc (though to get it to work, you need my unpublished bugfixes for GridFlow)
The EP released on GOSUB10 netlabel: https://archive.bleu255.com/gosub10/GOSUB10-003.html

These days I would do it differently: instead of starting with C, using autocorrelation to find the period, then manually chosing an ordered list of factors by inspecting clustering, I'd start with an angled internal address containing the ordered list of factors, then use complicated maths(*) to find the corresponding C coordinates that match the dynamics.  And I'd probably draw the Julia set too.

(*) split the address into island/child parts, find external angles of island, trace external ray, use newton's method to find nucleus, then trace internal rays to find the ((great)grand)child.

Linkback: https://fractalforums.org/other-artforms/20/music-from-periodic-attractors-in-the-mandelbrot-set/1905/

Offline gerrit

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Re: music from periodic attractors in the Mandelbrot set
« Reply #1 on: September 25, 2018, 05:06:16 AM »
Cool. I've tried in the past to (simply minded) just sum all orbits of an image and render them as audio.
Could perhaps be interesting when hooked up to some real-time zooming or animation.
Example below.

Offline AlexH

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Re: music from periodic attractors in the Mandelbrot set
« Reply #2 on: October 07, 2018, 09:20:51 PM »
How did you render the audio? It sounds like a software synth so I'm guessing you were generating MIDI data from the properties of the set, but maybe you did something else?

Offline claude

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Re: music from periodic attractors in the Mandelbrot set
« Reply #3 on: October 08, 2018, 03:56:43 PM »
Pure-data is a soft-synth building tool, in some ways - indeed I designed 4 synths, and trigger them using maths over points in the orbits.  Not MIDI, but something similar (there are 2 variables per note trigger, instead of just 1 velocity for MIDI, and MIDI is only 7-bit).

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