Abstract
We present an implementation method of a melodic analyzer based on the implication-realization (I-R) model, proposed by Eugene Narmour in 1990. The proposed method involves two stages; firstly, the triplet of notes to which an I-R symbol is assigned are identified based on note duration, beat structure, and pitch transition, and secondly, an I-R symbol is assigned to each triplet of notes identified in the previous stage. Since the rules provided by Narmour of the symbol assignment is incomplete, for all patterns of a triplet included in real melodies, an I-R symbol to be assigned is not defined; that is, the I-R symbol assignment map is partial. Then we make the total assignment map of the I-R symbol assignment by fixing I-R symbols in undefined areas repeatedly with varying the threshold for determining the boundary between small and large intervals. Comparing with the analysis results shown in the Narmour’s book [9], our melodic analyzer achieves an F measure of 0.86 regarding the starting tone estimation of the I-R symbols.
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References
Cornelissen, B., Zuidema, W., and Burgoyne, A.: Mode classification and natural units in plainchant. In: Proceedings of the 21th International Conference on Music Information Retrieval (ISMIR), Montréal, Canada (2020)
Cuthbert, M.S., Ariza, C.T.: music21: a Toolkit for computer-aided musicology and symbolic music data. In: Proceedings of 11th International Society for Music Information Retrieval Conference (ISMIR 2010), pp. 637–642 (2010)
Fraisse, P.: Rhythm and tempo. In: Deutsch, D. (Ed.), The Psychology of Music, pp. 149–180. Academic Press (1982)
Grachten, M., Arcos, J.L., de Mántaras, L.: Melody retrieval using the implication/realization model. Music Information Retrieval Evaluation (MIREX) (2005)
Hamanaka, M., Hirata, K., Tojo, S.: Musical structural analysis database based on GTTM. In: 15th International Society for Music Information Retrieval Conference (ISMIR), pp 325–330 (2014)
Koffka, K.: Principles of Gestalt Psychology. Routledge & Kegan Paul, London (1935)
Köhler, W.: Gestalt Psychology: An Introduction to New Concepts of Modern Psychology. Liveright, New York (1947)
Murao, T.: Cognition in musical analysis. In: Hatano, G. (Ed.), Music and Cognition, pp. 1–40. The University of Tokyo Press (1989). (in Japanese)
Narmour, E.: The Analysis and Cognition of Basic Melodic Structures. The University of Chicago Press (1990)
Narmour, E.: The Analysis and Cognition of Melodic Complexity. The University of Chicago Press (1992)
Schellenberg, E.G.: Expectancy in melody: tests of the implication-realization model. Cognition 58(1), 75–125 (1996)
Yazawa, S., Hamanaka, M., Utsuro, T.: Subjective melodic similarity based on extended implication-realization model. Int. J. Affect. Eng. 15(3), 249–257 (2016)
Yu, Y., Harscoët, F., Canales, S., Reddy, G.: Lyrics-conditioned neural melody generation. In: Proceedings of the 26th International Conference on MultiMedia Modeling, Part II, pp. 709–714 (2020)
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This work has been supported by JSPS Kakenhi 16H01744.
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Noto, K., Takegawa, Y., Hirata, K. (2023). A Rule-Based Method for Implementing Implication-Realization Model. In: Aramaki, M., Hirata, K., Kitahara, T., Kronland-Martinet, R., Ystad, S. (eds) Music in the AI Era. CMMR 2021. Lecture Notes in Computer Science, vol 13770 . Springer, Cham. https://doi.org/10.1007/978-3-031-35382-6_19
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DOI: https://doi.org/10.1007/978-3-031-35382-6_19
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