F-sharp vs G-flat in just intonation

As I gear up for teaching music theory in the fall, I’m still refining my explanation of Western music’s arcane naming system for enharmonics. Why is the note between F and G sometimes called F-sharp and sometimes called G-flat? Why do we sometimes call the interval between that note and C an augmented fourth, and …

Making chords from scales

Jazz musicians think of chords and scales as two different ways of looking at the same thing: a group of pitches that sound good together. If you organize the pitches sequentially and play them one at a time, you get a scale. If you stack them up and play them simultaneously, you get chords. Here’s …

What is the relationship between music and math?

Music is richly mathematical, and an understanding of one subject can be a great help in understanding the other. Geometry and angles My masters thesis is devoted in part to a method for teaching math concepts using a drum machine organized on a radial grid. Placing rhythms on a circle gives a good multisensory window …