Музыка, математика и информатика: история взаимодействия

Abstract

The lecture “Music, Mathematics and Computer Science” characterizes by concrete examples various aspects of interaction of these studies with each other by incorporating the apparatus of corresponding scholarly disciplines (set theory, probability theory, information science, group theory, etc.). The role and meaning of these aspects in the formation of an integral perception about music and in the realization of practical creative musical goals are educed. Examination of these questions is what the lecture studies are devoted to as part of the educational courses “Mathematical Methods of Research in Musicology” and “Informational Technologies in Music” developed by the authors for the students of the St. Petersburg Rimsky-Korsakov State Conservatory and the Herzen State Pedagogical University of Russia. The lecture “Music, Mathematics and Computer Science” is subdivided into two parts. The fi rst part, “Music, Mathematics and Computer Science: History of Interaction” examines the processes of interconnection and interpenetration of various fi elds of music, mathematics and computer science, spanning the period from Ancient Times to the turn of the 20th and the 21st centuries. The second part of the lecture: “Music, Mathematics and Computer Science: Particular Features of Functioning of Computer-Musical Technologies” (due to be published in the journal’s next issue) is devoted to examining various aspects of developing and applying computer-musical technologies in contemporary musical practice, including musical composition, performance and the sphere of music education.