Balls falling under gravity in a circle is another example of a chaotic system, sometimes referred to as the butterfly effect.
@gpcbass reproduced the absolutely brilliant composition “Jesus bleibet meine Freude“, originally made by J S Bach almost 300 years ago. A full version can be found here and here
Further details:
1. One ball in a circle having radius R
2. Two balls separated by *R
3. 100 balls, each pair being separated by 1e-6*R.
Done in Python and FFmpeg. SymPy was used to solve some equations.
Visuals inspired by @Numberphile,