Abstract
We introduce a feature structure, corresponding to a time-span tree of Lerdahl and Jackendof’s A Generative Theory of Tonal Music, and represent the reduction of the tree by the subsumption among these feature structures. As the collection of them forms a lattice, we can define the join and meet operations. We show a melodic morphing algorithm based on these simple operations.
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References
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© 2011 Springer-Verlag Berlin Heidelberg
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Hirata, K., Tojo, S., Hamanaka, M. (2011). Melodic Morphing Algorithm in Formalism. In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds) Mathematics and Computation in Music. MCM 2011. Lecture Notes in Computer Science(), vol 6726. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21590-2_28
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DOI: https://doi.org/10.1007/978-3-642-21590-2_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21589-6
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