Abstract— We propose a formalism for composition and rformance of musical pieces involving temporal structures and discrete interactive events. We use the Allen relations to constrain these structures and to partially define a temporal order on them. During the score composition stage, we use a constraints propagation model to maintain the temporal relations between the structures. For the performance stage, we must allow the composer to trigger the interactive events “whenever” he wants and we have to also maintain the temporal relations in a real-time context. We use a model based on Petri nets for this stage. We also provide a solution to define global constraints in addition of the local temporal constraints inspired by the NTCC formalism.