Classification of Triadic Chord Inversions Using Kohonen Self-organizing Maps

Luis Felipe de Oliveira

Departamento de Música
Universidade Estadual de Maringá (UEM)
Maringá ­ PR - BR

Luis Guilherme Pereira Lima

Departamento de Informática
Universidade Estadual de Maringá (UEM)
Maringá ­ PR ­ BR

André Luiz Gonçalves de Oliveira

Departamento de Teoria e Prática da Educação
Universidade Estadual de Maringá (UEM)
Maringá ­ PR ­ BR

Rael Bertarelli Gimenes Toffolo

Departamento de Música
Universidade Estadual de Maringá (UEM)
Maringá ­ PR - BR


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 Schönberg´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 tools in several areas, including music, to verify that hypothesis. The outcomes of our experiment refuse the Schönberg´s assumption in two aspects: structural and perceptual/functional.

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