creators_name: Oliveira, Luis F. creators_name: Lima, Luis G. P. creators_name: Oliveira, André L. G. creators_name: Toffolo, Rael B. G. type: confpaper datestamp: 2005-07-13 lastmod: 2011-03-11 08:56:08 metadata_visibility: show title: Classification of Triadic Chord Inversions Using Kohonen Self-organizing Maps ispublished: inpress subjects: comp-sci-neural-nets subjects: percep-cog-psy full_text_status: public keywords: Harmony, Neural Networks, Cognitive Musicology 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. date: 2005 date_type: published refereed: FALSE referencetext: 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. citation: 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) document_url: http://cogprints.org/4468/1/OLIVEIRA_et_al_SBCM_2005.pdf