F-sharp, G-flat, and the mysteries of just intonation

This is a favorite topic of mine, and people on the internet are surprisingly receptive to learning about it. This is another one where the podcast format suits the material well, because being able to splice together verbal explanation of the music with the music itself is so easy and straightforward. It’s making me want …

Listening to the Well-Tempered Clavier in actual well temperament

I tried this already as a YouTube video and a blog post, but I don’t think I did a good job explaining what was going on in each tuning system. This is because I didn’t really understand the tuning systems myself. I have been filling gaps in my knowledge and refining my examples, and the …

Podcast episode on blue notes

Here’s a subject I have written about a few times before, and it provoked a lot of debate in the comments and elsewhere. Let’s see how folks react to the audio version. Are blue notes out of tune? by Ethan Hein Or are they more in tune than the piano-key pitches are? Read on Substack

The circle of fifths is a lie

In this episode, I use “Don’t You Worry ‘Bout A Thing” by Stevie Wonder (1973) as a jumping off point to contemplate the headache of naming notes and chords in keys with a lot of flats and sharps in them. The circle of fifths is a lie by Ethan Hein My struggles to learn “Don’t …

C-flat and B-sharp

This post is a continuation of my explainer on the difference between F-sharp and G-flat. To sum that one up: in our present-day standard tuning system, F-sharp and G-flat sound the same; the only difference between them is notational. In historical tuning systems, however, they sounded quite different. Tuning is hard! In this post, I …

Maceo Parker’s blue notes in a James Brown classic

I got interested in tuning theory because of the blues. The first instrument I learned to play well was the harmonica, and an essential part of blues harmonica is bending notes to make them go flat. The same is true for blues guitar, though there you are bending notes sharp rather than flat. For several …

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 …

Identifying augmented chords

Augmented chords don’t come up much, but they are on the aural skills syllabus, and they have that specific quality that no other harmony can create. Their uncanny zero-gravity quality is the result of their symmetry. Any note in an augmented triad could function as its root. When you write the augmented chords on the …

I made some music using modes of the harmonic series

It’s a cliche to say that the harmonic series is the basis of all of music. It is true that the first five harmonics are the basis of Western tuning. The first seven harmonics are a possible basis for the blues. You don’t tend to hear much music based on the higher harmonics, but they …

Why did 13th century Europeans think that major sixths were dissonant?

In Adam Neely’s new video, he responds to a question about how “the major sixth was illegal in the Renaissance.” This isn’t quite true, they liked major sixths fine in the Renaissance, but it is true that medieval theorists considered them to be dissonant. Adam quotes an anonymous medieval music theorist who called the sixth …