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Nelson, SP, Wickman, B, Null, J and Gazin, E (2021)

An evaluation of music’s adherence to Benford’s Law throughout history

Journal of Mathematical Sciences: Advances and Applications 67(1), pp. 73-84.

ISSN/ISBN: Not available at this time. DOI: 10.18642/jmsaa_7100122222



Abstract: 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.


Bibtex:
@article{, author = {Sybil Prince Nelson and Brian Wickman and Jack Null and Eric Gazin}, year = {2021}, title = {An evaluation of music’s adherence to {Benford’s Law} throughout history}, journal = {Journal of Mathematical Sciences: Advances and Applications}, volume = {67}, number = {1), pages = {73--84}, doi = {10.18642/jmsaa_7100122222}, }


Reference Type: Journal Article

Subject Area(s): Applied Mathematics, General Interest