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.