On the similarity of twelve-tone rows

Twelve-tone system kaksitoistasäveljärjestelmä tolvtonssystem doktorsavhandlingar väitöskirjat
Sibelius Academy
2008
EISBN 9525531333
Acknowledgments.
Definitions and conventions.
Introduction.
Twelve-tone rows and row operations.
Similitarity and its properties.
Similarity measures and the metric.
The transformational approach to similarity.
Topologies of twelve-tone rows.
An introduction to twelve-tone-row similarity measures.
Similarity measures based on the vector approach.
Similarity measures based on ordered pairs.
Similarity measures based on subsegments.
Similarity measures based on subsets.
Similarity measures based on intervals.
Partial orders, graph theory, and similarity.
Conclusions.
Appendices.
Definitions and conventions.
Introduction.
Twelve-tone rows and row operations.
Similitarity and its properties.
Similarity measures and the metric.
The transformational approach to similarity.
Topologies of twelve-tone rows.
An introduction to twelve-tone-row similarity measures.
Similarity measures based on the vector approach.
Similarity measures based on ordered pairs.
Similarity measures based on subsegments.
Similarity measures based on subsets.
Similarity measures based on intervals.
Partial orders, graph theory, and similarity.
Conclusions.
Appendices.
