What are harmonics?

For our last day of pop aural skills class, I did a crash course on historical tuning systems. This involved a brief introduction to harmonics. As I was talking, I realized that my verbal explanation of this concept is still clunky and imprecise. This is a problem, because harmonics are important, not just for music …

Tuning is hard

I am committed to teaching my 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 myself. Before the year …

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 chromatic circle and the circle of fifths

The heart of Western tonal theory is this diagram: It’s called the chromatic circle, and it shows all of the notes you can play with a piano keyboard or guitar fretboard. It is closely related to another extremely important diagram called the circle of fifths: In this post, I explain where these diagrams come from …

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!

The problem with just intonation – a visual guide

Tuning is the final frontier of my musical understanding. I start reading about it, and then I hit a big table of fractions or logarithms and my eyes immediately glaze over. However, tuning is important and interesting! So I continue to struggle on. Fortunately, as with so many music theory concepts, the right computer software …

Just intonation and key changes

Western people like two things in harmony: intervals derived from the natural overtone series, and the ability to play in multiple keys. Unfortunately, it’s not possible to do both of these things within the same tuning system. If you want to use just intonation intervals derived from harmonics, then they will not work in every …

The blues and the harmonic series

In this post, I’m going to expand on an idea in my blues tonality treatise: that the distinctive scales and chords of the blues are an approximation of African-descended tuning systems based on the natural overtone series. Gerhard Kubik argues in his book Africa and the Blues that blues tonality comes from the overtone series …

Four bars of Mozart explains everything humans like in music

I’m not arguing here that everyone loves Mozart, or that I’m about to explain what all humans enjoy all the time. But I can say with confidence that this little bit of Mozart goes a long way toward explaining what most humans enjoy most of the time. The four bars I’m talking about are these, …

Some contemporary classical music that I actually like

I have been very vocal in my criticism of contemporary classical music on this blog. But there is some new music out there that I do like, very much. Most of it falls under the minimalist category, made by Steve Reich and his followers. The coolest new thing I’ve heard in this idiom isĀ “Timber” by …