Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Sybil Prince Nelson, Brian Wickman, Jack Null and Eric Gazin
Pages: [73] - [84]
Received Date: July 27, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122222
Western Music history can be divided into six major categories: Medieval, Renaissance, Baroque, Classical, Romantic, and Post-War. We analyzed a large collection of music from each time period and discovered a clear mathematical connection. Within each time period, we found that the note frequencies measured in hertz (Hz) and note durations are all Benford distributed. We also found that as music progressed through time, note lengths adhered closer and closer to the Benford distribution with the exception of the Post-War time period.
Benford distribution, classical music, logarithmic distribution of first digits, box plots, Kruskal-Wallis test.
