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
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
We report an approach to obtaining complex networks with diverse topology, here called syntonets, ta...
One of the reasons for the widely felt influence of Schenker’s theory is his idea of long-range voic...
Motivated by analytical methods in mathematical music theory, we determine the structure of the subg...
This paper presents a formal model of Schoenberg’s guidelines for convincing chord root progressions...
The subject of this paper is the cognition of triadic progressions in 19th century tonal music. Musi...
The fundamentals of contextual transformation are explained, beginning with the idea of a repeated i...
Some forms of artificial neural network models develop representations that have a high visual infor...
We propose a complex network approach to the harmonic structure underpinning western tonal music. Fr...
The choice of doubled pitches in the spelling of triads in Western four-part harmony is shown to cor...
The study offers a systematic exploration of situations in which dyads in common-practice tonal musi...
The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, ...
This article outlines the use of neo-Riemannian operations (NROs) for the analysis of certain pop-ro...
This paper studies the “integration” problem of nineteenth-century harmony—the question whether the ...
The composing of the 'Dehmel Songs' marks a pivotal juncture both in Webern's oeuvre and in the hist...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
We report an approach to obtaining complex networks with diverse topology, here called syntonets, ta...
One of the reasons for the widely felt influence of Schenker’s theory is his idea of long-range voic...
Motivated by analytical methods in mathematical music theory, we determine the structure of the subg...
This paper presents a formal model of Schoenberg’s guidelines for convincing chord root progressions...
The subject of this paper is the cognition of triadic progressions in 19th century tonal music. Musi...
The fundamentals of contextual transformation are explained, beginning with the idea of a repeated i...
Some forms of artificial neural network models develop representations that have a high visual infor...
We propose a complex network approach to the harmonic structure underpinning western tonal music. Fr...
The choice of doubled pitches in the spelling of triads in Western four-part harmony is shown to cor...
The study offers a systematic exploration of situations in which dyads in common-practice tonal musi...
The sequence of pitches which form a musical melody can be transposed or inverted. Since the 1970s, ...
This article outlines the use of neo-Riemannian operations (NROs) for the analysis of certain pop-ro...
This paper studies the “integration” problem of nineteenth-century harmony—the question whether the ...
The composing of the 'Dehmel Songs' marks a pivotal juncture both in Webern's oeuvre and in the hist...
Recent developments in music theory have offered new ways of analyzing and interpreting music that u...
We report an approach to obtaining complex networks with diverse topology, here called syntonets, ta...
One of the reasons for the widely felt influence of Schenker’s theory is his idea of long-range voic...