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Author Topic: Mandelbrot Set as Musical Instrument  (Read 2412 times)
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« on: February 19, 2013, 05:46:20 PM »

Since this hasn't been talked about here I thought I would mention the simplest mapping of the mandelbrot formula to audio. Just map the values (iteration#, atan2(y-cy,x-cx)) into time and amplitude. Then you hear the orbit rotation as a pitch. You need to interpolate between values to shift the pitch into the audible range. Each bulb contains points that have stable rotations that repeat after a certain number of iterations so the pitchs of the bulbs are musically related. Not the musical scale we are familiar with but something like the pythagorean scale. Child bulbs play a "chord" with the notes of their parents. These chords get more and more complex as you zoom into the set.

Not the greatest musical instrument but worth looking into:
<a href="http://www.youtube.com/v/m5S6wB90plM&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/m5S6wB90plM&rel=1&fs=1&hd=1</a>
Fractal Lover
Posts: 215

« Reply #1 on: February 19, 2013, 06:19:42 PM »

You would get more interesting results if you vary the parameters slightly with time....
« Reply #2 on: February 19, 2013, 07:33:31 PM »

Actually the point was to hear the orbits - you get more interesting results choosing points that don't have stable orbits. I just wanted to show the relationship between bulbs and frequency. Also it probably would be better to find the rotation around a moving average.
Posts: 21

« Reply #3 on: February 25, 2013, 07:19:57 PM »

This is a great idea.  I've been playing around with translating the orbits into sounds too, but not at such a low level - just translating the radius and angle of points in an orbit to a set of arbitrary pitches. 

Do you have any source code for this?
Forums Freshman
Posts: 11

« Reply #4 on: September 15, 2013, 08:09:11 AM »

eiffie, the microtonal scale produced will have 'just intonation' intervals, something i have studied for years. Never seen rotation creating pitch before.
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