AM Posted April 10, 2021 Posted April 10, 2021 here is a short program (based on JOHNSON's writing... pascal-code found in www and modified) to generate TOM JOHNSON's series of numbers for "pascal's triangle ...". maybe interesting to play with the MODULO like JOHNSON did (mod 7)... try it! greetings andré ;;; SUB (defun pascal-next-row (a &key (johnson-modulo nil)) (loop :for q :in a :and p = 0 :then q :as s = (if (null johnson-modulo) (list (+ p q)) (list (mod (+ p q) johnson-modulo))) :nconc s :into a :finally (rplacd s (list 1)) (return a))) ;;; MAIN (defun pascal-triangle (n &key (johnson-modulo nil)) (loop :for a = (list 1) :then (pascal-next-row a :johnson-modulo johnson-modulo) :repeat n :collect a)) ;;; => pascal-triangle (pascal-triangle 7) => ((1) (1 1) (1 2 1) (1 3 3 1) (1 4 6 4 1) (1 5 10 10 5 1) (1 6 15 20 15 6 1)) ;;; => pascal-triangle with MODULO like tom johnson in PASCAL'S TRIANGLE MODULO SEVEN (pascal-triangle 21 :johnson-modulo 7) => ((1) (1 1) (1 2 1) (1 3 3 1) (1 4 6 4 1) (1 5 3 3 5 1) (1 6 1 6 1 6 1) (1 0 0 0 0 0 0 1) (1 1 0 0 0 0 0 1 1) (1 2 1 0 0 0 0 1 2 1) (1 3 3 1 0 0 0 1 3 3 1) (1 4 6 4 1 0 0 1 4 6 4 1) (1 5 3 3 5 1 0 1 5 3 3 5 1) (1 6 1 6 1 6 1 1 6 1 6 1 6 1) (1 0 0 0 0 0 0 2 0 0 0 0 0 0 1) (1 1 0 0 0 0 0 2 2 0 0 0 0 0 1 1) (1 2 1 0 0 0 0 2 4 2 0 0 0 0 1 2 1) (1 3 3 1 0 0 0 2 6 6 2 0 0 0 1 3 3 1) (1 4 6 4 1 0 0 2 1 5 1 2 0 0 1 4 6 4 1) (1 5 3 3 5 1 0 2 3 6 6 3 2 0 1 5 3 3 5 1) (1 6 1 6 1 6 1 2 5 2 5 2 5 2 1 6 1 6 1 6 1)) ;;; look!! (list-plot (flatten (pascal-triangle 50 :johnson-modulo 7)) :point-radius 0 :style :fill) (list-plot (flatten (pascal-triangle 50 :johnson-modulo 11)) :point-radius 0 :style :fill) (list-plot (flatten (pascal-triangle 80 :johnson-modulo 17)) :point-radius 0 :style :fill) (list-plot (flatten (pascal-triangle 50 :johnson-modulo 3)) :point-radius 0 :style :fill) ;;; rnd-testing (list-plot (flatten (pascal-triangle 80 :johnson-modulo (1+ (random 23)))) :point-radius 0 :style :fill) Bildschirmvideo aufnehmen 2021-04-10 um 23.47.59.mov opmo 1 Quote
AM Posted April 11, 2021 Author Posted April 11, 2021 listen to the processes... (make-omn :pitch (integer-to-pitch (pascal-triangle 50 :johnson-modulo (1+ (random 23)))) :length '(t) :span :pitch) an example with parallel processes (chordized).. (setf chordlist (loop for i in (flatten (integer-to-pitch (pascal-triangle 20 :johnson-modulo (1+ (random 23))))) for j in (flatten (integer-to-pitch (pascal-triangle 20 :johnson-modulo (1+ (random 23))))) for k in (flatten (integer-to-pitch (pascal-triangle 20 :johnson-modulo (1+ (random 23))))) append (chordize (list i j k)))) (make-omn :pitch chordlist :length '(t) :span :pitch) Stephane Boussuge 1 Quote
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.