In a piano, notes repeat every 12 semitones (or keys, both black and white), and each whole interval doubles the frequency of these notes. Together, these notes form what we call a pitch class.

It occurred me that the shape of a spiral has all the correct properties to represent this relation between notes. So I wondered, how would piano music look like if it was represented as a spiral of keys?

In this representation, the notes with lower frequencies are in the center of the spiral, starting with A0 (as in the piano). Each radial block of keys represents a single pitch class, so octaves (when two adjacent notes of the same pitch class are played togeter) look like a pair of keys being pressed radially

For the musically and mathematically disinclined, it’s a cool plot that shows interesting patterns based on the similarities between the structure of a piano and a logarithmic spiral! Enough talk, check out the cool result: