Real-time Music Composition through P-timed Petri Nets

This paper introduces a new real-time concept of reconfigurable P-timed Petri nets. Our goal is to provide a formal model to build and modify a net on the fly. In the first part of the article, the original P-timed extensions are summarized. Then we define an endomorphism that alters the original Petri net in real time; for instance one can change the number of tokens or the net structure. The endomorphism is applied to Music Petri nets, showing how this new approach can be effective in real-time synthesis of music. The final case study provides a practical application by illustrating the real-time creation of a simple piano loop.