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Journal of Mathematics and Music
Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance
Volume 6, 2012 - Issue 2: Mathematical and Computational Approaches to Music: Three Methodological Reflections
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3. FINAL RESPONSE

Ontology, epistemology, and some research proposals

Pages 161-167 | Published online: 06 Jul 2012
 

Abstract

Apparently contrasting ontologies of music as a psychological–cognitive entity or as having independent existence are shown not to be mutually exclusive. They are related to orthogonal dimensions of empirical and rational approaches in research. The best research employs both the approaches. Mathematical and computational researchers are urged to explore research which moves away from the abstract, rational approach and makes greater use of empirical data. Suggestions are given for future research.

Notes

It is simultaneously chauvinistically ethnocentric: ‘As a mature and independent art music is unknown except in the modern forms realized by Western civilization’.

‘A’ and ‘B’ are used here for the 10th and 11th pitch classes, respectively.

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