The Fourth Movement of György Ligeti's Piano Concerto: Investigating the Musical-Mathematical Connection
This interdisciplinary study explores musical-mathematical analogies in the fourth movement of Ligeti’s Piano Concerto. Its aim is to connect musical analysis with the piece’s mathematical inspiration. For this purpose, the dissertation is divided into two sections. Part I (Chapters 1-2) provides musical and mathematical context, including an explanation of ideas related to Ligeti’s mathematical inspiration. Part II (Chapters 3-5) delves into an analysis of the rhythm, form, melody / motive, and harmony. Appendix A is a reduced score of the entire movement, labeled according to my analysis.
Composition, Dynamical Systems, Geometry and Topology, Music Theory, Ligeti, Piano Concerto, fractal, chaos, analysis, music
City University of New York - Graduate Center
Networked Digital Library of Theses and Dissertations
The Graduate School and University Center of The City University of New York