Aside

Emergence of Benford’s Law in Classical Music

Azar Khosravani, Constantin Rasinariu

The histograms represents the digit distribution of time
intervals for each piano key played for the 32 piano sonatas by
Beethoven vs. the theoretical (Benford) distribution

We analyzed a large selection of classical musical pieces composed by Bach, Beethoven, Mozart, Schubert and Tchaikovsky, and found a surprising connection with mathematics. For each composer, we extracted the time intervals each note was played in each piece and found that the corresponding data sets are Benford distributed. Remarkably, the logarithmic distribution is not only present for the leading digits, but for all digits.
Read more at https://arxiv.org/pdf/1805.06506.pdf