Abstract
Common music information retrieval methods are based upon editing distances, reductionism or functional analysis tecniques. We adopt an approach which looks into a thematic fragment (TF) globally. This leads to associate a musical graph to each TF which preserves its more abstract content. Then, necessary conditions for graph inclusion are introduced and we give a similarity function between graphs which allows to assign different weights to the elements belonging to different graph powers. The advantage is that graphs catch more musical transformations than other methods, like permutations of subfragments.
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References
Tenney, J., Polansky, L.: Temporal gestalt perception of music: a metric space model. Journal of Music Theory 24, 205–241 (1980)
Polansky, L.: Morphological metrics. Journal of New Music Research 25, 289–368 (1996)
Polansky, L.: More on morphological mutation functions: Recent techniques and developements. In: Proceedings of the International Computer Music Conference, pp. 50–60 (1992)
Lerdahl, F., Jackendoff, R.: A Generative Theory of Tonal Music. MIT Press, Cambridge (1996)
Selfridge-Field, E.: Melodic Similarity. MIT Press, Cambridge (2000)
Pinto, A.: Modelli formali per misure di similarità musicale. Tesi di Laurea in Matematica, Università degli Studi di Milano, a.a. (2002-2003)
Harary, F.: Graph Theory. Addison-Wesley, Reading (1969)
Bollobàs, B.: Modern Graph Theory. Springer, Heidelberg (1998)
Godsil, C., Royle, G.: Algebraic Graph Theory. Springer, Heidelberg (2001)
Buckley, F., Harary, F.: Distance in Graphs. Addison-Wesley, Reading (1990)
Martissa, E.: Analisi e sintesi di processi pseudo-musicali. Tesi di Laurea in Fisica, Università degli Studi di Milano, a.a. (1976-1977)
Verdi, L.: Organizzazione delle altezze nello spazio temperato. Ensemble ’900 (1998)
Schönberg, A.: Harmonielehre. Leipzig-Wien (1911)
Baroni, M., Dalmonte, R., Jacobini, C.: Le regole della musica. EDT (1999)
Haus, G.: Elementi di informatica musicale. Jackson (1984)
Roads, C.: The computer music tutorial. MIT Press, Cambridge (1996)
Farina, G.: Manuale di armonia. Carish (1946)
Bach, J.S.: Die Kunst der Fuge. In: Peters (ed.) BWV 1080 (1967)
Bach, J.S.: Einige canonische Veränderungen über das Weinachtslied: ’Vom Himmel hoch, da komm’ich her’. In: Peters (ed.) BWV 769 (1967)
Bach, J.S.: Orgelwerke. ed.Peters (1967)
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Haus, G., Pinto, A. (2005). A Graph Theoretic Approach to Melodic Similarity. In: Wiil, U.K. (eds) Computer Music Modeling and Retrieval. CMMR 2004. Lecture Notes in Computer Science, vol 3310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31807-1_20
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DOI: https://doi.org/10.1007/978-3-540-31807-1_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24458-5
Online ISBN: 978-3-540-31807-1
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