"VirtualPhilharmony" (V.P.) is a conducting interface that enables users to perform expressive music with conducting action. Several previously developed conducting interfaces do not satisfy users who have conducting experience because the feedback from the conducting action does not always correspond with a natural performance. The tempo scheduler, which is the main engine of a conducting system, must be improved. V.P. solves this problem by introducing heuristics of conducting an orchestra in detecting beats, applying rules regarding the tempo expression in a bar, etc. We confirmed with users that the system realized a high "following" performance and had musical persuasiveness.