Cogprints

Classification of Triadic Chord Inversions Using Kohonen Self-organizing Maps

Oliveira, Luis F. and Lima, Luis G. P. and Oliveira, André L. G. and Toffolo, Rael B. G. (2005) Classification of Triadic Chord Inversions Using Kohonen Self-organizing Maps. [Conference Paper] (In Press)

Full text available as:

[img]
Preview
PDF
2585Kb

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 tool 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.

Item Type:Conference Paper
Keywords:Harmony, Neural Networks, Cognitive Musicology
Subjects:Computer Science > Neural Nets
Psychology > Perceptual Cognitive Psychology
ID Code:4468
Deposited By:Oliveira, Luis Felipe
Deposited On:13 Jul 2005
Last Modified:11 Mar 2011 08:56

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

Arbib, Michael A. (1998). The Handbook of Brain Theory and Neural Networks.

Cambridge, MA: The MIT Press.

Fux, Johann J. (1965). The Study of Counterpoint From Johann Joseph Fux’s Gradus

ad Parnassum. New York: W. W. Norton & Company.

Leman, Marc (2000). An Auditory Model of the Role of Short-Term Memory in Probe-

Tone Ratings. Music Perception, Vol.17(4), 481-509.

Leman, Marc (1995). A Model of Retroactive Tone-Center Perception. Music Perception,

Vol.12(4), 439-471.

Leman, Marc (1991). The Ontogenesis of Tonal Semantics: results of a computer study.

In: P. Todd & G. Loy (Eds.), Music and Connectionism. Cambridge, MA: The MIT

Press.

Leman, Marc (1990). Emergent Properties of Tonality Functions by Self-organization.

Interface, Vol.19(2-3), 85-106.

Haykin, Simon (2001). Redes Neurais: princípios e prática. Porto Alegre: Bookman.

Kohonen, Teuvo (1997). Self-organizing Maps. Berlin: Springer-Verlag.

Oliveira, Luis F, Lima, Luis G. P., Oliveira, André L. G. and Toffolo, Rael B. G.

(2005). Classificações de Acordes Invertidos por Mapas Auto-organizados de

Kohonen, In: M. Dottori , B. Ilari & R. C. Souza (Eds.), Anais do Primeiro Simpósio

Internacional de Cognição e Artes Musicais. Curitiba: UFPR.

Rameau, Jean-Philippe (1971). Treatise onHarmony. New York: Dover Publications.

Schönberg, Arnold (1974). Armonia. Madrid: Real Musical.

Metadata

Repository Staff Only: item control page