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 …

Just intonation harmonicas

A commenter on the last post informed me of a remarkable fact: for most of the twentieth century, Hohner harmonicas were tuned in just intonation, not twelve-tone equal temperament. This is surprising! Just about every fixed-pitch instrument in the Western world is tuned in 12-TET unless it’s highly specialized or esoteric. The most detailed information …

Tuning is hard

I am committed to teaching my New School music theory students something about the history of tuning in Western European music. I don’t expect them to retain any details or do any math, I just want them to know that the history exists. In preparation, I continue to refine my explanation of this history to …

Why are D-sharp and E-flat considered to be two different notes

Why do the black keys on the piano each have two different names? If the posts on r/musictheory are any indication, this is a persistent point of confusion, especially when music theory teachers get all persnickety about using the correct name. This confusion applies to all of the black keys, but in this post, I’ll be …

Led Zeppelin and the folkloric integrity of the blues

There is a fascinating moment in “When The Levee Breaks” by Led Zeppelin where Robert Plant plays a very flat ninth on the harmonica. I love this note, because there is so much music theory and history encoded within it. Listen at 0:41. Before we can get into the details of this note and what …

The harmonic family tree

My blog stats have made it crystal clear that very few of you want to read about tuning systems. However, a vocal minority of you do love reading about them, and I definitely enjoy writing about them. So, let’s dig in and see how much Western harmony we can derive from the natural overtone series!

Seventh chords in just intonation vs 12-TET

I enjoy listening to Jacob Collier explain his music more than I enjoy the music itself. His arrangement of “Moon River” is mostly exhausting. However, Miles Comiskey pointed me to an interesting moment in this explainer video at the 1:04:22 mark where Jacob talks about how Kontakt enables you to change your instrument tuning on …

The blues and the harmonic series – a visual guide

Does the harmony of the blues come from the natural overtone series? Is it a just intonation system that later got shoehorned into Western twelve-tone equal temperament? Whether the blues comes from just intonation, or just intonation happens to sound like the blues, this is a rich and promising avenue of inquiry, both for understanding …