Music Box Toy with Elementary Cellular Automata

elementary rule

105

selected elementary rules

105

number of cells

3

4

5

6

number of generations

16

modulus to note mapping

14

transpose notes

-6

note duration in seconds

0.1

instrument number

1

show mesh

This Demonstration uses a simple and novel mapping of elementary cellular automata (CA) to single-voice musical sequences. The mapping is created by evolving a small CA through all its possible initial conditions for a number of generations, converting the cells to decimals and storing them in a table. This table is visualized using Mathematica's built-in function ArrayPlot with starting conditions assigned vertically and generations evolving horizontally.