Three-way Scaling and Clustering Approach to Musical Structural Analysis

In the present paper, we propose and investigate three-way scaling and clustering approaches to musical structural analysis of emotion expression. The approach is applied to the affective values of music by subjects who were interested in theater and in instrumental music as well. We expected that we would find interesting structure in the affective expression of music from three view points: affective values, individuals, and music. We analyzed the three-way structure model by applying INDSCAL and INDCLUS. We expected that the INDSCAL model would show a geometrical structure which offers interesting insights about the characteristics of affective values. Furthermore we expected that the INDCLUS model would reveal further geometrical structure.