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Source code is at: https://code.mathr.co.uk/zzc (though to get it to work, you need my unpublished bugfixes for GridFlow)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/

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?