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  1. 1.3.24711 – Function name changes: hexachord-complement to: GET-HEXACHORD-COMPLEMENT gen-ac-hexachord to: GET-AC-HEXACHORD ac-hexachord-complement-form-set to: GET-AC-HEXACHORD-COMPLEMENT-FORM-SET – New functions: get-density filter-density – New directory in System Library: Analysis. Fixed: – velocity-to-dynamic GET-DENSITY The function GET-DENSITY returns a density value (between 0.0 and 1.0) derived from quantitative measurements in a given sequence. There are four density types: :length, :pitch, :velocity and nil. The density information can be used in an analytical and compositional manner. Length density: (get-density '(s s s s s s s s)) => 1.0 (get-density '(s s -s s -s s -s s)) => 0.62 (get-density '(-q e -e q. s)) => 0.33555558 (get-density '(e.. s s s q s s s t -t s t)) => 0.8336364 (get-density '(-q -e -t t t t t t -q -s. t t t)) => 0.25 (get-density '((-w) (-w) (-w) (-w) (-h -e -t = -s. t -s. t -s) (-t = -s. e s = = = = = = = = = -s.) (-w) (-w) (-w) (-h -e -t = = = = = -s. =) (e.. s = = q s = = t - s t) (-t s t - s t - s t - s t - s t - s t - s t - = -s) (-t = -q -s. e t -s. s -e. t = =) (t = = = = = = = = = = = = s -e. s -e. t = =))) => (0.0 0.0 0.0 0.0 0.089999974 0.74833333 0.0 0.0 0.0 0.22666669 0.8336364 0.69 0.3185714 0.62) Pitch density: (get-density 'c4e4g4) => 0.38888893 (get-density 'c4ds4fs4a4) => 0.41666666 (get-density '((bb3 e3 bb2 a4 b4 d5) (b2 bb2 b3 b4 c7 c5) (eb3 gs3 gs2 a5 cs7 cs4))) => (0.48333335 0.8166667 0.8833334) Velocity density: (get-density '(pp pp p p mp mp mf mf f f)) => 0.30833334 (get-density '((pp< < < ff> > > > >) (p< < < < mf< < < <) (f> > > > > p p p))) => (0.4010417 0.38020834 0.30729166) OMN: (setf p00 '(-h.) p01 '(q d4 pp s eb4 < leg g4 < leg bb4 < leg a4 q. cs5 mf -e 3q gs5 > leg fs5 > leg c5 > b4 > leg f4 leg e4) p02 '(t d4 < leg eb4 < leg g4 < leg bb4 q. a4 marc t fs4 mf leg gs4 leg e. c5 e b4 t f5 leg e5 leg d5 leg eb5 3q bb5 > a4 > bb5 > e a4 pp stacc -e) p03 '(q d5 leg eb5 3q g4 stacc bb4 stacc a4 stacc e. cs4 marc s gs4 leg q gs4 -q) p04 '(q. fs5 pp 3e c5 < leg b4 < leg f4 e d5 mf s eb5 leg g5 leg bb5 leg a5 e fs5 leg fs5 3e gs4 > stacc c5 > stacc b5 > stacc t f5 pp e.. e5) p05 '(-q. e d4 pp q. eb5 mf e g4 q bb4 a4) p06 '(q cs4 pp -q t gs4 marc e.. fs4 mf leg e c4 -e t b4 leg f4 q.. e4 pp) p07 '(-q e d4 leg eb4 h g4 mf leg q. g4 > -e) p08 '(s bb4 pp leg a4 h. db4 t gs4 mp fs4 < c5 < b4 q f5 marc e5) ) (setf pattern (assemble-seq p00 p01 p02 p03 p04 p05 p06 p07 p08)) Type nil returns a mean value derived from the three main types: (get-density pattern) => (0.0 0.3716961 0.47591507 0.343125 0.49027777 0.36222222 0.41116783 0.2487963 0.45833334) Length density: (get-density pattern :type :length) => (0.0 0.5680555 0.7047059 0.36791664 0.8072916 0.25333333 0.44183674 0.24291666 0.73148143) Pitch density: (get-density pattern :type :pitch) => (0.0 0.27272728 0.375 0.33333334 0.36666667 0.5 0.45833334 0.1388889 0.3333333) Velocity density: (get-density pattern :type :velocity) => (0.0 0.27430555 0.34803924 0.32812503 0.296875 0.33333334 0.33333334 0.36458337 0.3101852) FILTER-DENSITY The function FILTER-DENSITY analyses all bars in a given sequence and returns a new sequence based on the list of density values and their order. A short demonstration on how the density information, taken from a number of patterns can be used in a compositional manner. (setf p00 '(-w.) p01 '(q d4 pp s eb4 < leg g4 < leg bb4 < leg a4 q. cs5 mf -e 3q gs5 > leg fs5 > leg c5 > b4 pp leg f4 leg e4) p02 '(t d4 < leg eb4 < leg g4 < leg bb4 q. a4 marc t fs4 mf leg gs4 leg e. c5 e b4 t f5 leg e5 leg d5 leg eb5 3q bb5 > a4 > bb5 > e a4 pp stacc -e) p03 '(q d5 leg eb5 3q g4 stacc bb4 stacc a4 stacc e. cs4 marc s gs4 leg q gs4 -q) p04 '(q. fs5 pp 3e c5 < leg b4 < leg f4 e d5 mf s eb5 leg g5 leg bb5 leg a5 e fs5 leg fs5 3e gs4 > stacc c5 > stacc b5 > stacc t f5 pp e.. e5) p05 '(-q. e d4 pp q. eb5 mf e g4 q bb4 a4) p06 '(q cs4 pp -q t gs4 marc e.. fs4 mf leg e c4 -e t b4 leg f4 q.. e4 pp) p07 '(-q e d4 leg eb4 h g4 mf leg q. g4 > -e) p08 '(s bb4 pp leg a4 h. db4 t gs4 mp fs4 < c5 < b4 q f5 f marc e5) p09 '(h. eb4 pp q g3 -e q gs4 mf -s a5 p tie) p10 '(e. a5 -e q bb4 mf -s q cs5 p -s q. e5 mf -e.) p11 '(q cs5 p h. d5 mf -q c5 pp tie) p12 '(h c5 pp h. gs3 -e a4 p) p13 '(h. fs5 mp q bb3 c5 p e4 mf tie) p14 '(h e4 -e q cs4 mp h d5 p e f4) mat (assemble-seq p00 p01 p02 p03 p04 p05 p06 p07 p08 p09 p10 p11 p12 p13 p14) ) (progn (setf ;bars 1 2 3 4 5 6 7 8 9 10 11 12 13 14 p1 '(0.2 0.0 0.2 0.0 0.2 0.3 0.8 0.2 0.3 0.0 0.2 0.2 0.0 0.1) p2 '(0.0 0.2 0.6 0.3 0.0 0.5 0.2 0.7 0.0 0.2 0.0 0.2 0.3 0.2) p3 '(0.2 0.7 0.0 0.0 0.2 0.3 0.2 0.0 0.7 0.0 0.3 0.2 0.5 0.1) p4 '(0.1 0.0 0.0 0.2 0.8 0.2 0.0 0.2 0.2 0.0 0.2 0.2 0.3 0.2) p5 '(0.0 0.0 0.2 0.0 0.2 0.0 0.1 0.0 0.0 0.8 0.2 0.2 0.2 0.1) ) (setf v1 (filter-density p1 mat :type :length :seed 253) v2 (filter-density p2 mat :type :length :seed 743) v3 (filter-density p3 mat :type :length :seed 545) v4 (filter-density p4 mat :type :length :seed 987) v5 (filter-density p5 mat :type :length :seed 234) ) (setf fl (unfold 'eg '(t7 v? (a0-12 1) dyn fl) v1) ob (unfold 'eg '(t7 i (a0-12 (3 6 8)) dyn ob) v2) cl (unfold 'eg '(t7 v? (a0-12 (2 9 14)) (ra 9) dyn cl) v3) hn (unfold 'eg '(t-5 t-12 ra rol dyn hn) v4) bn (unfold 'eg '(t-5 t-12 i rol dyn bn) v5) ) (ps 'gm :w5 (list fl ob cl hn bn) :tempo 68) ) Best wishes, JP
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