ii-V-I

My NYU pop theory class is going from non-functional harmony to the most functional harmony there is, the ii-V-I cadence. It’s subdominant to dominant to tonic, Western tonal harmony the way God and Beethoven intended.

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 …

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 …

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 …

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 …

Identifying harmonized basslines

We are wrapping up the harmony unit of pop aural skills class with harmonized basslines. These sound more “classical” than the other material we’re covering, and for good reason. Long before Western Europeans thought in terms of chords, they saw harmony as something that emerged from the interaction of multiple simultaneous melodies. Baroque composers frequently …

The Beastie Boys, James Newton, and phonographic orality

One of the most complicated copyright situations covered in my Musical Borrowing class is the landmark sampling lawsuit Newton v. Diamond. “Newton” is jazz flutist and composer James Newton (not to be confused with the film composer). “Diamond” is Michael Diamond, aka Mike D of the Beastie Boys. The song at issue is the Beasties’ …

Artificial intelligence in music

We are kicking off my Musical Borrowing class at the New School with a discussion of artificial intelligence in music. I decided to start here because 1) we are covering concepts in reverse chronological order; 2) the students are going to want to talk about it anyway; and 3) this is the least interesting topic …

Bach’s Duet in E minor BWV 802

I did a bunch of posts on here a while back about how I like it when Bach gets chromatic and weird, and ever since then, people have been recommending me more of his weird chromatic music. Somebody on Twitter recommended that I check out the Duet No. 1 in E minor from the third volume …

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 …