Music Is Math

Metamath Music Page

While looking at some proofs, it occurred to me that their structure resembled musical scores, so as an experiment I decided to see what they sounded like. Essentially, the musical notes correspond to the depth of the proof tree as the proof is constructed by the proof verifier. A fast higher note is produced for each step in the construction of a formula. A sustained lower note is produced when the formula is matched to a previous theorem or earlier proof step, to result in a new proof step (which corresponds to a proof step displayed on the Metamath Proof Explorer page that shows the theorem’s proof).