A protocol for remote musical session with fluctuated tempo

When a musical session is performed via networks, it is necessary to interact in real-time. There exists, however, the problem of delay between the nodes, which causes musical notes become an impediment. To overcome this problem, we had proposed a new protocol for musical session called mutual anticipated session (M.A.S.), which is a type of ensemble that controls the appropriate timing of the sounds. In the M.A.S, one player\´s performance precedes the other players\´, so we call this performance "precedent musical performance", and we call the time lapse between the players\´ performance as "precedent time." In the current M.A.S, it is assumed that the tempo during the performance is constant. In a case, however, where players want to perform more expressively or more emotionally, they may change the tempo. Thus, in this paper, we add a function that accommodates the change of the tempo and evaluate the function experimentally.