Towards axiomatization of music perception¹

This article is based on the paper presented at the 3rd International Conference on Music Perception and Cognition, Liège, Belgium, 23–27 July, 1994.

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Sound examples are available in the JNMR Electronic Appendix (EA) which can be found on the WWW at http://www.swets.nl/jnmr/jnmr.html

Abstract

We postulate the following properties of audio perception: Axiom 1 (Logarithmic pitch) The frequency axis is logarithmically scaled. Axiom 2 (Insensitivity to the phase of the signal) Only discrete power spectra are considered. The principle of correlativity of perception is axiomatized as follows: Axiom 3 (Grouping principle) Data can be grouped with respect to structural identity. Axiom 4 (Simplicity principle) Data are represented in the least complex way in the sense of Kolmogorov (least memory storage required).

Notes

This article is based on the paper presented at the 3rd International Conference on Music Perception and Cognition, Liège, Belgium, 23–27 July, 1994.

Sound examples are available in the JNMR Electronic Appendix (EA) which can be found on the WWW at http://www.swets.nl/jnmr/jnmr.html