Pre f ace
1 So m e m athe m ati cal fo undati o ns o f mus i c
1.1 General background
1.2 Some elements of algebra
1.3 Specific applications in music
2 E xpl o rato ry data m i ni ng i n mus i cal s pace s
2.1 Musical motivation
2.2 Some descriptive statistics and plots for univariate data
2.3 Specific applications in music – univariate
2.4S ome descriptive statistics and plots for bivariate data
2.5 Specific applications in music – bivariate
2.6 Some multivariate descriptive displays
2.7 Specific applications in music – multivariate
3 Gl o bal m e as ure s o f s tructure and rando m ne s s
3.1 Musical motivation
3.2 Basic principles
3.3 Specific applications in music
4 Time series analysis
4.1 Musical motivation
4.2 Basic principles
4.3 Specific applications in music
5 H i e rarchi cal m e tho ds
5.1 Musical motivation
5.2 Basic principles
5.3 Specific applications in music
6 M arkov chai ns and hi dde n M arkov m o de l s
6.1 Musical motivation
6.2 Basic principles
.2004 CRC Press LLC
6.3 Specific applications in music
7 Circular statistics
7.1 Musical motivation
7.2 Basic principles
7.3 Specific applications in music
8 Pri nci pal comp onent anal ysi s
8.1 Musical motivation
8.2 Basic principles
8.3 Specific applications in music
9 Discriminant analysis
9.1 Musical motivation
9.2 Basic principles
9.3 Specific applications in music
10 Cl uster anal ysi s
10.1 Musical motivation
10.2 Basic principles
10.3 Specific applications in music
11 Multidimensional scaling
11.1 Musical motivation
11.2 Basic principles
11.3 Specific applications in music
Li st of figures
References
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