The Lattice

In 1739, the great mathematician Leonhard Euler¬†published something he called a Tonnetz, German for “tone network.” It looked like this: Euler’s Tonnetz organizes the notes into a matrix, instead of a scale. Moving down and to the left represents motion by an interval of a fifth (V) in musical space. Down and to the right…


The Tonic

The heart of the lattice is the note called 1. This note is the tonic. Almost all the music you hear — pop, rock, classical —¬†has one note that is at the center, a master note against which all other notes are measured. That note is the tonic. It’s the Do of Do Re Mi….