Understanding intervals

There are two ways to understand intervals: the right way, and the way I learned them. Before we get into that, let me point you to some good resources for learning the right way. I like the online tutorials by Robert Hutchinson, Chelsey Hamm and Bryn Hughes, musictheory.net and musicca.com. I really love Nate May’s visual …

What is voice leading?

Sit down at the piano and play the chords C and F in root position, back and forth, like so: (C E G) to (F A C). Pretty clunky! Now invert the C chord; that is, move the bottom note up an octave. Alternate that version of the C chord with the F chord, like …

What is syncopation?

(Meta-level note: I rewrite this explainer every few years and now that I have a couple of new music theory gigs, I am rewriting it yet again.) Syncopation is to rhythm what dissonance is to harmony: conflict, surprise, defiance of expectation. If you place your rhythmic accents where listeners expect them, then the music gets …

The major key universe

Minor keys are complicated, because there are so many different minor scales. Major keys seem simpler, because there is only the one major scale. At least, that is how things worked in Western Europe between 1700 and 1900. In present-day Anglo-American pop, though, we need to expand our idea of what a major key is.

The bottom number in time signatures has always confused me

The top number in a time signature is easy to understand. Is the song in four? Count “one, two, three, four.” Is it in three? Count “one, two, three.” Is it in five? Count “one, two, three, four, five.” That’s all there is to it. However, the bottom number is another story. What is going …

Happiness is a Warm Gun

The White Album is full of cobwebby subterranean corners, and this song is one of the cobwebbiest. The title comes from an issue of American Rifleman that John Lennon thought was funny in a bleak way. The joke became quite a bit more bleak after his death. You can listen to the isolated tracks here. …

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 …

Identifying sequences

The final topic in pop aural skills is harmonic sequences, strings of chords whose roots move in a predictable interval pattern. Sequences are common in European classical music. Listen to Bach’s Chaconne from the D Minor Violin Partita or Contrapunctus VIII from The Art of Fugue for a million examples. Sequences are also pretty common …

Hypermeter

I didn’t find out about hypermeter until very late in my music theory learning journey. I think it should be part of the basic toolkit, especially for songwriters and improvisers. The explanation that follows might seem abstract, but behind the scenes, hypermeter provides the signposts that orient you in medium-scale musical time. The term “hypermeter” …

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 …