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(2002) Mathematics and music, Dordrecht, Springer.
Formal logic can be used for expressing certain aspects of musical coherence. In this paper, a framework is developed which aims at linking expressions in the formal language to an underlying interpretation in terms of musical images and image transformations. Such an interpretation characterizes truth within a framework of spatio-temporal representations and perception-based musical information processing. The framework provides a way for defining a semantics for the coherence of musical perception.
Publication details
DOI: 10.1007/978-3-662-04927-3_11
Full citation:
Leman, M. (2002)., Expressing coherence of musical perception in formal logic, in G. Assayag, H. G. Feichtinger & J. F. Rodrigues (eds.), Mathematics and music, Dordrecht, Springer, pp. 185-198.
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