In this paper, we introduce a small family of novel bottom-up (sensory) models of the Krumhansl and Kessler (1982) probe tone data. The models are based on the spectral pitch class similarities between all twelve pitch classes and the tonic degree and tonic triad. Cross-validation tests of a wide selection of models show ours to have amongst the highest fits to the data. We then extend one of our models to predict the tonics of a variety of different scales such as the harmonic minor, melodic minor, and harmonic major. The model produces sensible predictions for these scales. Furthermore, we also predict the tonics of a small selection of microtonal scales—scales that do not form part of any musical culture. These latter predictions may be tested when suitable empirical data have been collected.
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April 2015
Research Article|
April 01 2015
A Spectral Pitch Class Model of the Probe Tone Data and Scalic Tonality Available to Purchase
Andrew J. Milne,
MARCS Institute, University of Western Sydney, NSW, Australia
Andrew J. Milne, MARCS Institute, University of Western Sydney, Locked Bag 1797, Penrith, 2751, NSW, Australia. E-mail: [email protected]
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David B. Sharp
David B. Sharp
The Open University, Milton Keynes, UK
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Andrew J. Milne, MARCS Institute, University of Western Sydney, Locked Bag 1797, Penrith, 2751, NSW, Australia. E-mail: [email protected]
Music Perception (2015) 32 (4): 364–393.
Article history
Received:
January 30 2013
Accepted:
June 17 2014
Citation
Andrew J. Milne, Robin Laney, David B. Sharp; A Spectral Pitch Class Model of the Probe Tone Data and Scalic Tonality. Music Perception 1 April 2015; 32 (4): 364–393. doi: https://doi.org/10.1525/mp.2015.32.4.364
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