Statistics in MusicologyCRC Press, 15 juil. 2003 - 312 pages Traditionally, statistics and music are not generally associated with each other. However, ...intelligent... music software, computer digitization, and other advanced techniques and technologies have precipitated the need for standard statistical models to answer basic musicological questions. Statistics In Musicology presents an unprecedented intr |
Table des matières
CHAPTER 1 Some mathematical foundations of music | 1 |
CHAPTER 2 Exploratory data mining in musical spaces | 23 |
CHAPTER 3 Global measures of structure and randomness | 81 |
CHAPTER 4 Time series analysis | 107 |
CHAPTER 5 Hierarchical methods | 139 |
CHAPTER 6 Markov chains and hidden Markov models | 169 |
CHAPTER 7 Circular statistics | 187 |
CHAPTER 8 Principal component analysis | 205 |
CHAPTER 9 Discriminant analysis | 221 |
CHAPTER 10 Cluster analysis | 233 |
CHAPTER 11 Multidimensional scaling | 247 |
List of figures | 255 |
References | 265 |
| 281 | |
| 287 | |
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Expressions et termes fréquents
algorithm analysis applications approximation assumed BACH BACH BACH bandwidths Bartók Beran called century Chapter circle circular classification clusters comparing compositions consider consists correlation corresponding Cortot Courtesy defined Definition density depends derivatives dimension direction discriminant distance distribution elements entropy equal estimated example Figure finite fitted frequency function given harmonic Horowitz important indicators instance interesting intervals linear Markov chain mathematical matrix mean measure melodic methods metric MOZART notes observed obtained occurs onset parameter particular performances period pitch played plot points possible principal components probability random regression respectively rule sample sample mean scales Schumann sequence shows signal similar simple smoothing sound space specific spectral standard stationary statistics steps structure Symbol tempo curves topological dimension Träumerei values variables vector wave wavelet weight zero