Research Catalog

Details

Description

1. viii, 299 p., [4] p. of plates : ill. (some col.); 25 cm.

Summary

1. "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."--Jacket.

Series statement

1. Interdisciplinary statistics series

Uniform title

1. Interdisciplinary statistics.

Subject

1. Musical analysis > Statistical methods
2. Musikalische Analyse
3. Statistik
4. Musikwissenschaft
5. Muziekwetenschap
6. Statistische methoden
7. Musicologia (métodos estatísticos)

Contents

1. 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.

Owning institution

1. Princeton University Library

Bibliography (note)

1. Includes bibliographical references (p. 265-280) and indexes.