Statistics in Musicology

Based on the author’s experience in teaching in jazz workshop, explains the principles of this art form. Useful for teachers wishing to include jazz in the music curriculum "Statistics in Musicology offers an introduction to statistical and mathematical methods developed for use in music analysis, music theory, and performance theory." "This unique book explores concrete methods for data generation and numerical encoding of musical data. It addresses topics ranging from simple descriptive statistics to formal modeling by parametric and nonparametric processes. Self-contained chapters present methods in one of two categories: classical methods of mathematical statistics and exploratory data analysis, and new methods developed specifically to answer questions in musicology."--BOOK JACKET. Some mathematical foundations of music -- Some elements of algebra -- Specific applications in music -- Exploratory data mining in musical spaces -- Musical motivation -- Some descriptive statistics and plots for univariate data -- Specific applications in music--univariate -- Some descriptive statistics and plots for bivariate data -- Specific applications in music--bivariate -- Some multivariate descriptive displays -- Specific applications in music--multivariate -- Global measures of structure and randomness -- Time series analysis -- Hierarchical methods -- Markov chains and hidden Markov models -- Circular statistics -- Principal component analysis -- Discriminant analysis -- Cluster analysis -- Multidimensional scaling -- Musical motivation -- Specific applications in music