Techniques of Polytempic Polymicrotonal Composition

Preliminary Considerations Dividing the Whole Note into Non-standard Parts Many ideas under consideration for a compositional system for Polytempic Polymicrotonal music are not wholly new. I have been influenced by many composers, theorists, and authors of works that are common fodder in the more arcane areas of music theory. Henry Cowell comes to mind. Amazingly, much of Cowell's work still remains unused and unexplored. Something as simple as fifth notes , or pentuplets , up to today, 2025 -26, really should be standard rhythmic practice, just as triplets are. But, they are not. Nevertheless, the division of the whole note into parts other than the binary divisor 2 should be in common use now. Anyone should be able to play pentuplets, septuplets , and nonuplets , as nonuplets are essentially a nested rhythm of three sets of triplets...So, not quite complex nested rhythms, but not merely duple rhythms based on the number 2. Human limitations, of course, limit tempo and speed f...