I've got an idea for creating a new type of synth. Most synths use waveforms to generate their sound, but I want to control the harmonics/overtones myself and simply have them repeat at descending values up the sonic spectrum. I want to use a graph to shape an overtone, run it through white noise to actually create the sound of the overtone and then have it play at every octave above the note that's being played. Is there any way to do this?
PS: I don't really need people asking me what the point of this is or that there's an easier way of doing it. I know what I want and simply need some advice on what objects can be used to it.