Polyphinite

What if we could take counterpoint, and push it to its logical conclusion, to write fully independent pieces of music that act as parts of a greater whole? What if we could write a set of four solos, each with the same duration that, while well-written and appealing to concertgoers, also served as part of any number of instrument combinations? (In this case, 15) Each solo in this hypothetical collection of works would be part of three duets, three trios, and a quartet involving all four instruments. Is such a musical jigsaw puzzle even viable? Would we be able to write music that would make sense in such a manner? It is with this question that we begin our journey toward understanding Polyphinite.