Cellular automata create rythm patterns. Melodies are created random-walking a complex network created with the grades from a given scale as nodes.
Binary count from 0000 to 1111 would go like:
| base 10 | base 2 |
|---|---|
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| etc. | etc. |
For a time resolution of a sixteenth of a whole note sixteen bits can be used: from 0000000000000000 to 1111111111111111, which is 65,536 in base 10 (1024*64).
All numbers in the sixteen bit series are classified and grouped by counting transitions from 0 to 1 or from 1 to 0. For example: 1111111111111111 and 0000000000000000 have zero transitions while 1111111100000000 and 0000000011111111 have one, 1100110011001100 has seven and 0101010101010101 has fifteen.
Plots are done by painting black pixels for zeroes and white pixels for ones. Each complete group can be seen plotted here.
They look great, check out the symmetry!
If zeroes are painted black, numbers with more zeroes are shadier. All numbers in the sixteen bit series are classified by shade. For example 0000000000000000 is in group sixteen while 0000000011111111 and 0000111100001111 are in group eight.
Plots for each complete group can be seen here.
Melodies are created random walking random networks of different topologies. Nodes are notes in the scale, edges become intervals. Melodies always start on the selected tonic. Edges are weighted by a random walker on initialization.
