STATISTICAL ANALYSIS APPLICATION IN CLASSICAL AND POPULAR MUSIC
Keywords:
Music Data Analysis, Analysis of Variance, Homogeneity Groups, Probability Clustering, Geometrical Clustering, Number of ClustersAbstract
Independence between discrete variables and categorical factors is analysed, where discrete variables are notes, note types and rests. Identity of factor style which can obtain values classic, romantic or modern can be recognized by analysis of variance or chi-square test. Grouping of these variables by clustering methods for each mode (major and minor) is presented. As a result some clusters match musical triads or chords. Interpretation of clusters is shown by dendrogram with dividing line. The results of note type clusters demonstrate the effect of modern style, where the syncopated rhythm dominates.
In this paper we investigate the problem how to choose the number of clusters. In addition we try to answer the question if the probability clustering is more advantageous than the geometrical clustering. The results show that mathematical statistics methods produce output that satisfies the norms and standards of music.
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