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Expressing coherence of musical perception in formal logic

Marc Leman

pp. 185-198

Abstrakt

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

Published in:

Assayag Gerard, Feichtinger Hans Georg, Rodrigues Jose Francisco (2002) Mathematics and music: a Diderot mathematical forum. Dordrecht, Springer.

Seiten: 185-198

DOI: 10.1007/978-3-662-04927-3_11

Referenz:

Leman Marc (2002) „Expressing coherence of musical perception in formal logic“, In: G. Assayag, H. Feichtinger & J. Rodrigues (eds.), Mathematics and music, Dordrecht, Springer, 185–198.