Physics and Mathematics in Musical Composition - A Comparative Study

How is music born? Is music made by humans or does it already exist and wait to be found? How do composers create (or find) music? Having these questions in mind the authors ask more questions: How can we share our feelings with other people when listening to music? Can these be visualized? Why did Helmholtz have a problem with the third? Why is precise tuning so important in European music and less so in other cultures? What are the differences among the continents? What makes dissonant tone intervals uncomfortable in many cases? What enables us to distinguish the music of Mozart from that of Beethoven? Why are we fascinated by birdsong? Why does some music survive, whereas other just disappears? And finally, along which lines will music develop in the future? Drawing upon physics and mathematics, the authors search for answers to these questions and attempt to unravel in some depth the enigmas of how our minds are affected by the perception of music.

List of contents

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.

Product details

• Authors: Stefan C Müller, Stefan C. Müller, Kinko Tsuji
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Release: 02.05.2025, delayed
• EAN: 9783031807312
• ISBN: 978-3-0-3180731-2
• No. of pages: 276
• Illustrations: XVII, 276 p. 254 illus., 188 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Musikwissenschaft und Musiktheorie, Acoustics, Wellenmechanik (Vibration und Akustik), Contemporary Music, Classical Music, Mathematics in Music, Theory of Music, Complex Dynamics, Peculiar Instruments, Phase Portrait, Non-European Music, Compositional Style