Posted July 18, 20168 yr have fun! andré ;;; TWO SIEVE-generators ;;; simple and multiple (the simple-function is part of multiple) ;;;;;;;;;;;;;;;;;;;;;;;;; (defun gen-sieve (ambitus.omn intervals) (midi-to-pitch (loop with ambitus.midi = (pitch-to-midi ambitus.omn) with interval.cnt = -1 for pitch = (first ambitus.midi) then (setq pitch (+ (nth interval.cnt intervals) pitch)) when (<= pitch (second ambitus.midi)) collect pitch into bag else return bag do (incf interval.cnt) when (= interval.cnt (length intervals)) do (setq interval.cnt 0)))) (gen-sieve '(c4 g7) '(2 1)) ;;;;;;;;;;;;;;;;;;;;;;;;; (defun gen-multiple-sieve (sieve-rules) ;sieve-rules => '((ambitus.omn intervals) (ambitus.omn intervals) (ambitus.omn intervals)) (midi-to-pitch (sort (remove-duplicates (loop for i in sieve-rules append (pitch-to-midi (gen-sieve (first i) (second i))))) #'<))) (gen-multiple-sieve '(((c4 g7) (2 1 12)) ((c1 g7) (3 5))))
July 18, 20168 yr Author of course...i knew that... but: yours is not with AMBITUS and not with complex-sieves, and not in ONE function. and, as all the time, i wanted to do it for myself.
July 18, 20168 yr I truly love your contribution to the Forum and Opusmodus. Two of your functions will be part of the next release. GEN-SYMMETRICAL (gen-symmetrical 24 '(1 2 3 4 5 6)) => (5 2 6 2 3 2 1 5 2 3 5 4 4 5 3 2 5 1 2 3 2 6 2 5) (gen-symmetrical 24 '(1 2 3 4 5 6) :repeat t) => (1 1 3 1 1 2 4 6 4 5 5 2 2 5 5 4 6 4 2 1 1 3 1 1) (gen-symmetrical '(6 8 12) '(1/16 1/32 1/8)) => ((1/8 1/32 1/8 1/8 1/32 1/8) (1/16 1/8 1/16 1/32 1/32 1/16 1/8 1/16) (1/8 1/32 1/16 1/32 1/16 1/32 1/32 1/16 1/32 1/16 1/32 1/8)) GEN-MULTISYMMETRICAL (gen-multisymmetrical 8 '(1 2 3 4 5 6)) => (2 3 2 1 1 2 3 2 4 5 2 5 5 2 5 4 1 5 4 6 6 4 5 1 6 5 3 1 1 3 5 6 6 5 3 1 1 3 5 6 1 5 4 6 6 4 5 1 4 5 2 5 5 2 5 4 2 3 2 1 1 2 3 2) (gen-multisymmetrical 8 '(1 2 3 4 5 6) :repeat t) => (1 1 2 4 4 2 1 1 6 4 5 5 5 5 4 6 2 2 2 5 5 2 2 2 5 5 5 3 3 5 5 5 5 5 5 3 3 5 5 5 2 2 2 5 5 2 2 2 6 4 5 5 5 5 4 6 1 1 2 4 4 2 1 1) (gen-multisymmetrical '(6 8 12) '(1/16 1/32 1/8)) => ((1/8 1/32 1/16 1/16 1/32 1/8 1/16 1/32 1/8 1/8 1/32 1/16 1/16 1/32 1/8 1/8 1/32 1/16 1/16 1/32 1/8 1/8 1/32 1/16 1/16 1/32 1/8 1/8 1/32 1/16 1/8 1/32 1/16 1/16 1/32 1/8) (1/32 1/8 1/32 1/16 1/16 1/32 1/8 1/32 1/16 1/32 1/8 1/16 1/16 1/8 1/32 1/16 1/32 1/8 1/16 1/8 1/8 1/16 1/8 1/32 1/8 1/32 1/8 1/32 1/32 1/8 1/32 1/8 1/8 1/32 1/8 1/32 1/32 1/8 1/32 1/8 1/32 1/8 1/16 1/8 1/8 1/16 1/8 1/32 1/16 1/32 1/8 1/16 1/16 1/8 1/32 1/16 1/32 1/8 1/32 1/16 1/16 1/32 1/8 1/32) (1/32 1/8 1/16 1/32 1/16 1/32 1/32 1/16 1/32 1/16 1/8 1/32 1/8 1/16 1/32 1/8 1/16 1/32 1/32 1/16 1/8 1/32 1/16 1/8 1/16 1/8 1/32 1/16 1/32 1/16 1/16 1/32 1/16 1/32 1/8 1/16 1/16 1/8 1/16 1/32 1/8 1/32 1/32 1/8 1/32 1/16 1/8 1/16 1/8 1/32 1/8 1/16 1/32 1/8 1/8 1/32 1/16 1/8 1/32 1/8 1/16 1/8 1/16 1/8 1/32 1/16 1/16 1/32 1/8 1/16 1/8 1/16 1/16 1/8 1/16 1/8 1/32 1/16 1/16 1/32 1/8 1/16 1/8 1/16 1/8 1/32 1/8 1/16 1/32 1/8 1/8 1/32 1/16 1/8 1/32 1/8 1/16 1/8 1/16 1/32 1/8 1/32 1/32 1/8 1/32 1/16 1/8 1/16 1/16 1/8 1/32 1/16 1/32 1/16 1/16 1/32 1/16 1/32 1/8 1/16 1/8 1/16 1/32 1/8 1/16 1/32 1/32 1/16 1/8 1/32 1/16 1/8 1/32 1/8 1/16 1/32 1/16 1/32 1/32 1/16 1/32 1/16 1/8 1/32))
July 18, 20168 yr Author nice :-) i have a lot of extra function on SYMMETRIES in my USER-library, it's a part of my momentary project - chained-symmetries - symmetries based on markov - shifted symmetries ..................................................
July 18, 20168 yr One function with few changes: (defun gen-sieve (ambitus interval) (do-verbose ("gen-sieve") (flet ((gen-sieve* (ambitus interval) (integer-to-pitch (loop with integer = (pitch-to-integer ambitus) with cnt = -1 for int = (first integer) then (setf int (+ (nth cnt interval) int)) when (<= int (second integer)) collect int into bag else return bag do (incf cnt) when (= cnt (length interval)) do (setf cnt 0))))) (if (listsp ambitus) (sort-asc (find-unique (loop for a in ambitus for i in interval append (gen-sieve* a i)))) (gen-sieve* ambitus interval))))) (gen-sieve '(c4 g7) '(2 1)) => (c4 d4 eb4 f4 fs4 gs4 a4 b4 c5 d5 eb5 f5 fs5 gs5 a5 b5 c6 d6 eb6 f6 fs6 gs6 a6 b6 c7 d7 eb7 f7 fs7) (gen-sieve '((c4 g7) (c1 g7)) '((2 1 12) (3 5))) => (c1 eb1 gs1 b1 e2 g2 c3 eb3 gs3 b3 c4 d4 eb4 e4 g4 c5 eb5 f5 fs5 gs5 b5 e6 fs6 g6 gs6 a6 c7 eb7)
July 18, 20168 yr Author further XENAKIS-sieve-functions could be with the AND/OR/NOT inside... see: "formalized-music" or: https://www.youtube.com/watch?v=mHUkSf4aZ3E
July 18, 20168 yr With AMBITUS-FORM function: (defun gen-sieve (ambitus interval) (do-verbose ("gen-sieve") (flet ((gen-sieve* (ambitus interval) (integer-to-pitch (loop with cnt = -1 for int = (first ambitus) then (setf int (+ (nth cnt interval) int)) when (<= int (second ambitus)) collect int into bag else return bag do (incf cnt) when (= cnt (length interval)) do (setf cnt 0))))) (let ((ambitus (ambitus-form ambitus))) (if (listsp ambitus) (sort-asc (find-unique (loop for a in ambitus for i in interval append (gen-sieve* a i)))) (gen-sieve* ambitus interval)))))) (gen-sieve '(c4 g7) '(2 1)) => (c4 d4 eb4 f4 fs4 gs4 a4 b4 c5 d5 eb5 f5 fs5 gs5 a5 b5 c6 d6 eb6 f6 fs6 gs6 a6 b6 c7 d7 eb7 f7 fs7) (gen-sieve '((c4 g7) (c1 g7)) '((2 1 12) (3 5))) => (c1 eb1 gs1 b1 e2 g2 c3 eb3 gs3 b3 c4 d4 eb4 e4 g4 c5 eb5 f5 fs5 gs5 b5 e6 fs6 g6 gs6 a6 c7 eb7) (gen-sieve 'violin '(2 1)) => (g3 a3 bb3 c4 cs4 eb4 e4 fs4 g4 a4 bb4 c5 cs5 eb5 e5 fs5 g5 a5 bb5 c6 cs6 eb6 e6 fs6 g6 a6 bb6 c7 cs7 eb7 e7 fs7 g7) (gen-sieve '(violin (c1 g6) piccolo) '((2 1 12) (3 5) (3 6))) => (c1 eb1 gs1 b1 e2 g2 c3 eb3 g3 gs3 a3 bb3 b3 e4 g4 bb4 c5 cs5 eb5 gs5 a5 b5 c6 cs6 eb6 e6 fs6 g6 a6 eb7 e7 fs7 g7 c8) AMBITUS-FORM is embedded in many ambitus functions: (ambitus-form 'violin) (ambitus-form '(2 34)) (ambitus-form '(violin)) (ambitus-form '(violin (2 34))) (ambitus-form '((2 34) midi)) (ambitus-form '((2 34) (2 34))) (ambitus-form '(violin cello))
July 21, 20168 yr Part of the next release, thanks to Andre: (gen-sieve '(c4 g7) '(2 1)) => (0 2 3 5 6 8 9 11 12 14 15 17 18 20 21 23 24 26 27 29 30 32 33 35 36 38 39 41 42) (gen-sieve '(c4 g7) '(2 1) :type :pitch) => (c4 d4 eb4 f4 fs4 gs4 a4 b4 c5 d5 eb5 f5 fs5 gs5 a5 b5 c6 d6 eb6 f6 fs6 gs6 a6 b6 c7 d7 eb7 f7 fs7) (gen-sieve '((c4 g7) (c1 g7)) '((2 1 12) (3 5))) => (-36 -33 -28 -25 -20 -17 -12 -9 -4 -1 0 2 3 4 7 12 15 17 18 20 23 28 30 31 32 33 36 39) (gen-sieve '((c4 g7) (c1 g7)) '((2 1 12) (3 5)) :type :pitch) => (c1 eb1 gs1 b1 e2 g2 c3 eb3 gs3 b3 c4 d4 eb4 e4 g4 c5 eb5 f5 fs5 gs5 b5 e6 fs6 g6 gs6 a6 c7 eb7) (gen-sieve '(violin (c1 g6) piccolo) '((2 1 12) (3 5) (3 6)) :type :interval) => (3 5 3 5 3 5 3 4 1 1 1 1 5 3 3 2 1 2 5 1 2 1 1 2 1 2 1 2 6 1 2 1 5)
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