The research aims to explore the intersection of music and mathematics by identifying patterns in tonal music.
Analyzed compositions by Bach, Chopin, and Shostakovich
Utilized mathematical concepts, particularly bell curves, to assess musical structure
Identified hidden musical structures within the tonal framework
Revealed structured patterns in various compositions
Demonstrated that mathematical principles can elucidate musical forms
Abstract
Abstract Musicologist and mathematics enthusiast D. S. Hill discovers a hidden structure in the tonal music of composers such as Bach, Chopin and Shostakovich