I have recently read a book called
Harmony For A New Millenium by trumpeter/composer
Randy Sandke. He has developed a concept he calls "metatonality", which involves creating new harmonic structures from a certain intervallic system, and then extracting melodic material from those structures.
I've decided to try to use this concept for my piece. Without going into too much detail at this point: I've chosen a group of notes that have no obvious diatonic relation. From these I will now try to develop both melody and harmony:
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