#lang scheme/base (require scheme/promise) ;; Galois fields and drum patterns.. The crazy idea is that there ;; might be some interesting way to turn the structure of Galois ;; fields into drum patterns. It doesn't seem like anything but ;; arbitrary assignment, but let's give it a try.. ;; GF(p^n) with p prime ;; ;; p = number of distinct drums ;; ;; n = number of drums that can sound at the same time. sounding ;; the same drum multiple times just means hitting it harder. ;; ;; Picking a p^n automatically fixes the structure of the ;; multiplicative group. The factorization of p^n-1 will determine ;; the number of possible cycles