In this article we analyse different types of representations of music, both from a cognitive and a computational point of view. Whereas mental representations of music are the objects of the musical mind, and are therefore by definition a subject of cognitive psychology and philosophy, it can be argued that mathematical representations of music also have some cognitive correlates enabling the understanding of non-tonal music. Amongst the many typologies of mathematical representations of music, we will analyse in detail some examples belonging to the transformational paradigm, which is a formalized subfield of computational musicology coming from the American set-theoretical tradition. Transformational music analysis also raises new questions about the cognitive and philosophical ramifications of algebraic and category-theory approaches in music theory, analysis and composition.
Between mind and mathematics. Different kinds of computational representations of music.
ACOTTO, EDOARDO;
2012-01-01
Abstract
In this article we analyse different types of representations of music, both from a cognitive and a computational point of view. Whereas mental representations of music are the objects of the musical mind, and are therefore by definition a subject of cognitive psychology and philosophy, it can be argued that mathematical representations of music also have some cognitive correlates enabling the understanding of non-tonal music. Amongst the many typologies of mathematical representations of music, we will analyse in detail some examples belonging to the transformational paradigm, which is a formalized subfield of computational musicology coming from the American set-theoretical tradition. Transformational music analysis also raises new questions about the cognitive and philosophical ramifications of algebraic and category-theory approaches in music theory, analysis and composition.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
