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International Studies in Phenomenology and Philosophy

Series | Book | Chapter

225550

Fragmentations with pitch, rhythm and parallelism constraints for variation matching

Mathieu GiraudKen DéguernelEmilios Cambouropoulos

pp. 298-312

Abstract

Composers commonly employ ornamentation and elaboration techniques to generate varied versions of an initial core melodic idea. Dynamic programming techniques, based on edit operations, are used to find similarities between melodic strings. However, replacements, insertions and deletions may give non-musically pertinent similarities, especially if rhythmic or metrical structure is not considered. We propose, herein, to compute the similarity between a reduced query and a melody employing only fragmentation operations. Such fragmentations transform one note from the reduced query into a possible large set of notes, taking into account pitch and rhythm constraints, as well as elementary parallelism information. We test the proposed algorithm on four "theme and variations' piano pieces by W. A. Mozart and L. van Beethoven and show that the proposed constrained fragmentation operations are capable of detecting simple variations with high sensitivity and specificity.

Publication details

Published in:

Aramaki Mitsuko, Derrien Olivier, Kronland-Martinet Richard, Ystad Sølvi (2014) Sound, music, and motion: 10th international symposium, CMMR 2013, Marseille, France, October 15-18, 2013. revised selected papers. Dordrecht, Springer.

Pages: 298-312

DOI: 10.1007/978-3-319-12976-1_19

Full citation:

Giraud Mathieu, Déguernel Ken, Cambouropoulos Emilios (2014) „Fragmentations with pitch, rhythm and parallelism constraints for variation matching“, In: M. Aramaki, O. Derrien, R. Kronland-Martinet & S. Ystad (eds.), Sound, music, and motion, Dordrecht, Springer, 298–312.