Inverse Performance Theory
نویسنده
چکیده
A BSTRACT. 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 mathematical 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.
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