Mauricio Posted July 13 Share Posted July 13 There is a function "expand-tonality" that gives me the following result: (expand-tonality ' (c4 messiaen-mode4)) => (c4 cs4 d4 f4 fs4 g4 gs4 b4). Is there a reverse function? That is, the input would be the notes and the output would be the name of the scale/tonality? Thanks in advance for your help! Cliff 1 Quote Link to comment Share on other sites More sharing options...
JulioHerrlein Posted July 13 Share Posted July 13 You can use pitch class analysis to know the Forte number of a set of pitches like this (pcs-analysis '(7 10 3 8 11 5 2)) Original Prime Order: (7 10 3 8 11 5 2) Pitch: (g4 bb4 eb4 gs4 b4 f4 d4) Inversion: (5 2 9 4 1 7 10) Complement: (0 1 4 6 9) Normal Order: (2 3 5 7 8 10 11) Prime Form: (0 1 3 5 6 8 9) Forte: 7-32b - THIS IS WHAT YOU NEED Directed Interval Vector: (1 2 2 1 2 1 3) Interval Vector: (3 3 5 4 4 2) Interval Class: (3 5 5 3 6 3) Mauricio 1 Quote Link to comment Share on other sites More sharing options...
jesele Posted July 14 Share Posted July 14 Hi, here's a slow way to do it. Jesper ;; for faster result you could remove modes from this list (setf mds '(Acoustic Chromatic Major Minor Ionian-I Dorian-II Phrygian-III Lydian-IV Mixolydian-V Aeolian-VI Locrian-VII Pentatonic Diminished-Augmented Dominant Altered Tones Hyperaeolian Mischung Genus Octatonic Composers Gypsy Byzantine Gregorian Messiaen Tcherepnin Prometheus Arabic Persian Iran Peruvian Hawaiian Blues Jazz Scottish Greece Armenia Ethiopia Algerian Tunisian Egyptian Korean Japan Jewish Hungarian Romanian Spanish North-America South-America China Indian Indian-Mela Indian-Raga)) (setf sc (flatten (loop for x in mds collect (library 'modes x nil :collect :all)))) ;; raga-kuntalavarali throws an error so removing it (setf sc (remove 'raga-kuntalavarali sc)) ;; scale to look for (setf scale '(c4 cs4 d4 f4 fs4 g4 gs4 b4)) (loop for x in sc when (equal scale (expand-tonality (list (car scale) x) :type :pitch)) collect x) Might be better to use integers otherwise a different spelling will not match (setf scale (pitch-to-integer '(c4 cs4 d4 f4 fs4 g4 gs4 b4))) (loop for x in sc when (equal scale (expand-tonality (list 'c4 x) :type :integer)) collect x) Faster to collect all the expanded scales once. (setf all-scales (loop for x in sc collect (list x (expand-tonality (list 'c4 x) :type :integer)))) ;; then use find to find the first one (find scale all-scales :key 'cadr :test 'equal) ;; or collect the positions of all matches ;; new scale with more matches (setf scale (pitch-to-integer '(c4 d4 e4 f4 g4 gs4 bb4))) (setf all-positions (loop with pos = -1 while pos collect (setf pos (position scale all-scales :key 'cadr :test 'equal :start (+ 1 pos))))) ;; then get the matches (setf result (loop for p in all-positions when p collect (nth p all-scales))) ((melodic-major (0 2 4 5 7 8 10)) (major-minor (0 2 4 5 7 8 10)) (mixolydian-b6 (0 2 4 5 7 8 10)) (aeolian-major (0 2 4 5 7 8 10)) (mischung6 (0 2 4 5 7 8 10)) (mela-carukesi (0 2 4 5 7 8 10)) (raga-charukeshi (0 2 4 5 7 8 10)) (raga-tarangini (0 2 4 5 7 8 10))) Mauricio, JulioHerrlein and Stephane Boussuge 1 2 Quote Link to comment Share on other sites More sharing options...
Mauricio Posted July 14 Author Share Posted July 14 Thank you very much, JulioHerrlein. A good way to know the Forte number of a set of pitches. Best, Mauricio. Many thanks for your kind reply, jesele. Your code works perfect. I am amazed by your absolute mastery of Lisp. Very best, Mauricio. JulioHerrlein 1 Quote Link to comment Share on other sites More sharing options...
jesele Posted July 14 Share Posted July 14 30 minutes ago, Mauricio said: I am amazed by your absolute mastery of Lisp. Ha, I wish but thanks anyway. Jesper JulioHerrlein 1 Quote Link to comment Share on other sites More sharing options...
Stephane Boussuge Posted July 14 Share Posted July 14 Very good and interesting, thank you all for this. Quote Link to comment Share on other sites More sharing options...
JulioHerrlein Posted July 14 Share Posted July 14 Very cool, Jesper ! Thank you ! Actually this is a faster way of finding ! Best Quote Link to comment Share on other sites More sharing options...
jesele Posted July 15 Share Posted July 15 Thank you Julio. Jesper Quote Link to comment Share on other sites More sharing options...
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