Physics and Mathematics in Musical Composition

Kinko Tsuji studied interdisciplinary science and obtained her doctoral degree at the University of Tokyo in 1976. As a researcher she worked at the Weizmann Institute of Science in Israel and at the Max-Planck-Institutes in Munich and in Dortmund. From 1981 to 2018 she worked in the company Shimadzu Europa GmbH, developing applications for ultra high-speed cameras. Furthermore, she was active in the “Japan Business Council in Europe” in Brussels and served as a chairman of the planning committee. She edited "The Micro-World Observed by Ultra High-Speed Cameras" (Springer, 2018) and with Stefan C. Müller "Spirals and Vortices" (Springer, 2019). Her newest book is "Physics and Music" (Springer, 2021).Stefan C. Müller is a physics professor at the University of Magdeburg, Germany. After obtaining his doctoral degree at the University of Göttingen in 1978, he spent 3 years of postdoctoral research in the USA, first at MIT and then at Stanford University in California. He was a researcher at the Max-Planck-Institute in Dortmund from 1982 to 1994, before transferring his research to Magdeburg. He was editor of “Complexity and Synergetics” (Springer, 2018) and, together with Kinko Tsuji, of "Spirals and Vortices" (Springer, 2019). The most recent book written by Kinko Tsuji and himself is "Physics and Music" (Springer, 2021).

• Part 1.How is Music Born?.- Chapter 1.Introduction.- Chapter 2.Intervals, Scales, Tuning and Harmonics.- Chapter 3.Acoustic Basis and Generation of Sound.- Chapter 4.Complexity and Dynamics in Phase Space.- Part 2.Journey across the World.- Chapter 5.Physical and Mathematical Aspects in European Music.- Chapter 6.Music in Other Cultures.- Part 3.Moving beyond.- Chapter 7.Why Do we Know that it is Mozart?.- Chapter 8.Ending without End.