Composers Phil, thanks for the detailed answer and the book suggestion! Although i don't see how your first system is atonal compared to the second (don't you use "dominants"?)
I would like to know: Do you also have principles for employing non-harmonic tones? which ones? Do you use the same as in traditional harmony (resolution by step,etc..) or did you create your own ones? How do you employ your harmonic system in a contrapuntal context?Do concepts like scales and modulation exist in your non-traditional harmonic systems?