FractMus is a FREEWARE algorithmic-music generator, that is, it creates melodies using mathematical formulas. Think of it as a tool which gives you raw material that you can later use in your compositions. Writing a midi file and later importing it with music-editing programs such as Finale or Encore gives you the invaluable option of seeing your creation as a musical score, with all the correct pitches and durations, for later editing.
FractMus uses only a few of the infinity of possible algorithms for note creation. Some of them exhibit fractal behavior, like the Morse-Thue sequence, Henon attractor, gingerbread man fractal, etc, while others use well-known formulas from chaotic dynamics, like the Logistic Map.
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Download here