MTSE: 2020 Chiu Appalachian State University Putting the Math in Math Rock Matt Chiu Fig. 1 Math Rock Timeline Math Rock Playlist: https://open.spotify.com/playlist/0YMehqtnDK9X1pBsVc0ftN Fig. 2 DFT Mathematics Explained Tresillo Timeline: [1, 0, 0, 1, 0, 0, 1, 0] Fig. 3 DFT Calculation on the Tresillo MTSE: 2020 Chiu Appalachian State University ACCENT PROFILE RULES MPR 3: Event +1 wherever there is a note MPR 6: Bass Note +1 to lowest note of any 5 contiguous units PEC: Second of Two +1 to second to two adjacent notes PEC: Initial and Final Tones +1 to both ends of an adjacent string of notes Large Leaps +1 to any leap of 5 semitones or more +1 to all changes in the contour: contour is established after Continuous/Contour 2 moves in the same direction MPR 1: Parallelism +1 to parallelism projects PEC = Povel/Essens Clock (Rules) MPR = Metric Preference Rules (Lerdahl and Jackendoff) Fig. 4 Accent Profile Rule [5, 2, – 2, 2, 1, 1, 2, 1, 4, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1] E . Gtr. œ œ œ œ œ œ œ œ œ œ œ (Lead) & œ œ œ œ œ œ œ œ œ œ œ œ œ œ ˙ œ j œ œ ˙ œ™ œ & ™ œ ˙ ™ J J ˙ ˙ & ˙ ˙ ˙ ˙ agnitude M Component ˙ ˙ œ Fig. 5 Never Meant: Guitar 1 (top); Rhythmic Profile (bottom) MTSE: 2020 Chiu Appalachian State University [4, 2, 2, 3, 1, 2, 1, 3, 2, 3, 3, 0, 0, 5, 2, 3, 1, 2, 1, 1, 4, 2, 2, 1] E. Gtr œ œ œ œ œ œ œ œ œ œ (Gtr 2) & œ œ œ œ J œ œ œ œ œ œ œ œ œ & ˙ œ ˙œ™ œ™ ˙ œ™ ˙ ™ Never Meant: Rhythm Guitar, Rhythmic Profle Magnitude Components j x3.428 ˙. œ Fig. 6 Never Meant: Guitar 2 (top); Rhythmic Profile (bottom) f2 f3 f4/5 3 f4 f6 f9 3 f8 f12 f18 3 f16 f24 f36 3 Fig. 7 DFT Components (left); Metric Ski-Hill Graph (right) MTSE: 2020 Chiu Appalachian State University [5, 2, 2, 2, 0, 5, 1, 2, 2, 0, 5, 1, 2, 3, 0, œ & œ œ ‰ j œ œ ‰ œ ‰ œ J œ #œ #œ œ #œ Pool: Guitar, Rhythmic Profle Magnitude Components j x5 j x2.5 œ œ Fig. 8 Pool: Guitar (top); Rhythmic Profile (bottom) [4, 0, 0, 1, 0, 0, 1, 0, 2, 0, 4, 0, 0, 1, 0, 0, 2, 0, 1, 0, 3, 0, 0, 0, 0, 0, 1, 0, 2, 0] & œ™ bœ™ bœ œ œ™ bœ™ œ œ #œ™ ‰ Œ nœ œ Pool: Voice, Rhythmic Profle Magnitude j j j ( Components x10 j x5 x3.3 x2.5 œ œ (œ œ œ Fig. 9 Pool: Voice (top); Rhythmic Profile (bottom) MTSE: 2020 Chiu Appalachian State University Electric Guitar/Voice ° 7 œ œ #œ œ #œ j j 3 œ #œ 7 &8 Œ Œ J J ‰ J Ó Œ ‰ œ œ œ 8 J ‰ J 8 1) j Bass Guitar ? 7 œ œ œ œ #œ œ œ œ j 3 j #œ 7 ¢ 8 J œ œ œ œ 8#œ 8 ° 7 œ #œ œ j œ j 4 7 &8 ‰ ‰ #œ œ ‰ Œ Œ œ œ œ ‰ #œ ‰ œ 8 j ‰ j ‰ 8 2) J J #œ œ j j j ? 7 œ œ œ œ #œ œ œ œ 4 j #œ œ 7 ¢ 8 J œ œ œ œ 8#œ 8 œ œ œ j j œ œ ° 7 Œ Œ #œ ‰ #œ Ó Œ ‰ œ œ œ 5 ‰ #œ ‰ 7 3) &8 J J J 8 J J J 8 j j ? 7 œ œ œ œ #œ œ œ œ 5 j #œ œ 7 ¢ 8 J œ œ œ œ 8#œ 8 #œ #œ j j œ #œ ° 7 œ œ ‰ #œ Œ Œ ‰ œ œ œ ‰ ‰ œ #œ ‰ 6 œ œ J 4) &8 J #œ œ J J 8 7 j j 6 #œ œ #œ ? 8 œ œ œ œ #œ œ œ œ œ œ œ œ 8#œ œ œ ¢ J Fig. 10 Cat Fantastic: Milankovitch Cycle C = 24 Cat Fantastic: First Iteration, Rhythmic Profle C = 25 Cat Fantastic: Second Iteration, Rhythmic Profle Magnitude Magnitude j j j j j Components œ x7/12 œ x3.428 œ x2.5 œ Components œ x7 œ x3.428 C = 26 Cat Fantastic: Tird Iteration, Rhythmic Profle Magnitude j j Components œ x7 œ x3.71 Fig. 11 Cat Fantastic: Rhythmic Profiles for Milankovitch Cycle MTSE: 2020 Chiu Appalachian State University References Amiot, Emmanuel. 2016. 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