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1 1,a) 2 3,b) 4,c) 5,d) 7,e),f) 3,g) GTTM ( ) () Computational Model of Music Recognition, Based on Statistical Grammar Theory and Constructive Semantics Satoshi Tojo 1,a) Keiji Hirata 2 Hamanaka Masatoshi 3,b) Katashi Nagao 4,c) Tetsuro Kitahara 5,d) Hidefumi Ohmura 7,e) Masaki Matsubara,f) Kazuyoshi Yoshii 3,g) Abstract: This research investigates the integration of statistical grammar theory and contructive semantics for music. The Generative Theory of Tonal Music has suggested to construct a tree structure to represent an internal dependency in a music piece. We develop this idea, assuming a statistical grammar rules, and aim at constructing semantically annotated tree. In this framework, we apply the structure to music analysis, rendering, arrangement, similarity, and archive such results to be openly accessed on the web. Also, we consider this annotated tree to be a cognitive model of our music understanding. Keywords: music information processing, musicology, grammar theory, tree structure, cognitive model 1 JAIST 2 Future University Hakodate 3 Kyoto University 4 Nagoya University 5 Nihon University 6 University of Tsukuba 7 Tokyo University of Science a) tojo@jaist.ac.jp b) masatosh@kuhp.kyoto-u.ac.jp c) nagao@nuie.nagoya-u.ac.jp d) kitahara@chs.nihon-u.ac.jp e) hidefumi.ohmura@gmail.com f) masaki@slis.tsukuba.ac.jp g) yoshii@kuis.kyoto-u.ac.jp 1. [17] 1
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6 8 Alan Marsden (Lancaster University, UK) David Meredith (Aalborg University, Denmark) (JSPS) 16H07144 Tree-structured Probabilistic Model of Monophonic Written Music Based on the Generative Theory of Tonal Music, Proceedings of the 41st IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2016), [12] E. Narmour: The Analysis and Cognition of Basic Melodic Structures: The Implication-Realization Model. Chicago University of Chicago Press [13] J-J. Nattiez. La Musique, La Recherche, et La Vie, Leméac Éditeur Inc., Montréal, [14] H. Schenker, Der Freie Satz. Neue musikalische Theorien und Phantasien, Margada, Liège, Belgium, [15] S. Tojo and K. Hirata: Structural Similarity Based on Time-span Tree, CMMR [16] S. Tojo, K. Hirata, M. Hamanaka, Computational Reconstruction of Cognitive Music Theory, Journal of New Generation Computing, Vol. 31, No. 2, pp , [17] N. L. Wallin and B. Merker ed.: The Origins of Music, The MIT Press, [18] T. Winograd, Linguistics and the Computer Analysis of Tonal Harmony, Journal of Music Theory 12:1, [19],,,,,,,,,, Vol. 69, No. 9, pp , [20],,,,,, Vol. 21, No. 1, pp , [21],,,, pp , [1] J. Barwise and J. Perry: Situations and Attitudes, The MIT Press, [2] L. Bernstein: Unanswered Question, Havard Lecture Series, [3] D. R. Dowty: Word Meaning and Montague Grammar, Reidel, [4] M. Granroth-Wilding and M. Steedman: A Robust Parser-Interpreter for Jazz Chord Sequences, Journal of New Music Research, 43, , [5] M. Hamanaka, K. Hirata, and S. Tojo: Implementing A Generating Theory of Tonal Music, Journal of New Music Research, 35(4), , [6] M. Hamanaka, K. Hirata, and S. Tojo: deepgttm-i: Local Boundaries Analyzer based on Deep Learning Technique, 12th International Symposium on Computer Music Multidisciplinary Research (CMMR), [7] K. Hirata, S. Tojo, and M. Hamanaka: Algebraic Mozart by Tree Synthesis, ICMC2014. [8] T. Kitahara and Y. Tsuchiya: Short-term and Long-term Evaluations of Melody Editing Method Based on Melodic Outline, Int. Computer Music Conf. (ICMC/SMC), pp , [9] F. Lehrdahl and R. Jackendoff: Generative Theory of Tonal Music, MIT Press [10] M. Matsubara, K. Hirata, and S. Tojo. Distance in Pitch Sensitive Time-span Tree, International Computer Music Conference (ICMC/SMC) 2014 [11] E. Nakamura, M. Hamanaka, K. Hirata, and K. Yoshii. 6
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