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@misc{cogprints4468, title = {Classification of Triadic Chord Inversions Using Kohonen Self-organizing Maps}, author = {Luis F. Oliveira and Luis G. P. Lima and Andr{\'e} L. G. Oliveira and Rael B. G. Toffolo}, year = {2005}, keywords = {Harmony, Neural Networks, Cognitive Musicology}, url = {http://cogprints.org/4468/}, abstract = {In this paper we discuss the application of the Kohonen Selforganizing Maps to the classification of triadic chords in inversions and root positions. Our motivation started in the validation of Sch{\"o}nberg?s hypotheses of the harmonic features of each chord inversion. We employed the Kohonen network, which has been generally known as an optimum pattern classification tool in several areas, including music, to verify that hypothesis. The outcomes of our experiment refuse the Sch{\"o}nberg?s assumption in two aspects: structural and perceptual/functional.} }