MCU Recommendations for Audio Pitch Shifting
I get the impression that you haven't done this sort of thing before, on any scale. Pitch shifting is a totally non-trivial process.  I suggest you start out on a regular computer and try to get a single channel working to your satisfaction.  Then, if you are still determined to do this on a smaller system, you will at least know what you are up against and will be able to decide what systems are appropriate.  Sorry if it sounds like I'm trying to throw cold water on your idea, because I'm sure it would be a fun instrument to play.  But I think you would be getting in way over your head if this isn't already your field of expertise.