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We propose a formalism for construction and performance of musical pieces composed of temporal structures involving discrete interactive events. The occurrence in time of these structures and events is partially defined according to constraints, such as Allen temporal relations. We represent the temporal structures using two constraint models. A constraints propagation model is used for the score composition stage whereas a non deterministic temporal concurrent constraint calculus (NTCC) is used for the performance phase. The models are tested with examples of temporal structures computed with the GECODE constraint system library and run with a NTCC interpreter