Abstract
The performance transformation P which maps a score, its analysis and performance grammar to a fixed performance is far from one-to-one: The P-fibers define high-dimensional mathe¬matical varieties. This work is concerned with the structure of the P-fibers. This is the subject of inverse performance theory: To systematically reconstruct scores, analyses and performance grammars from a given performance. Our results make use of the mathematical category of global compositions and locally differentiable transformations. The P-fibers depend on the complexity of the analytical structure, the combinatorial local-global configuration and the transformation class.
Original language | English (US) |
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Pages (from-to) | 533-540 |
Number of pages | 8 |
Journal | International Computer Music Conference, ICMC Proceedings |
State | Published - 1995 |
Externally published | Yes |
Event | 21st International Computer Music Conference, ICMC 1995 - Banff, Canada Duration: Sep 3 1995 → Sep 7 1995 |
Bibliographical note
Publisher Copyright:© 1995 International Computer Music Conference, ICMC Proceedings. All rights reserved.