How do key signatures work?

Most of my students struggle with key signatures. This is understandable! Like the rest of the Western notation system, key signatures are based on a big assumption: that all of the notes will be within one of the twelve major keys, or within some scale that can be derived from a major scale (most often, …

Learning minor key harmony from the Bach Chaconne

Major keys are easy to understand, at least in classical music, because a major key and a major scale are coextensive. Minor keys are harder, because you can’t just equate them to particular minor scales. To understand how chords work in minor keys, I’m going to walk you through a standard progression that happens throughout …

Bach’s Suite for Solo Cello No. 1 – Prelude

I’m teaching melody in music theory class this month, and nobody wrote better melodies than Bach. If you want to learn how to use single note lines to imply chord changes and counterpoint, the prelude to his first cello suite is a whole textbook worth of wisdom for you. My favorite interpretation is by Mstislav …

Funky Minuet in G major

In my continuing quest to learn the classical canon through remixing with Ableton Live, I’ve taken on Bach’s Minuet in G major. Which is apparently not by Bach at all, but rather by some guy named Christian Petzold. Live and learn. A minuet is a dance, but in 2018, it’s hard to dance in triple meter. …

Teaching myself the Bach Chaconne with Ableton Live

Recently someone posted this performance of the Chaconne from Bach’s violin partita in D minor on an eleven-string guitar by Moran Wasser. My favorite interpretation by an actual violinist is Viktoria Mullova’s. I appreciate her straightforward and unsentimental approach. I also enjoy the version from Morimur, and I’m not alone. It’s one of the most …

What is polyphony?

The word is from Greek, “poly” meaning many and “phony” meaning voice. This is as opposed to monophony — one voice. Originally, polyphony literally meant multiple people singing together. Over the course of musical history, the term has become more abstracted, referring to multiple “voices” played on any instrument. And usually, polyphony means that the …

Originality in Digital Music

This post is longer and more formal than usual because it was my term paper for a class in the NYU Music Technology Program. Questions of authorship, ownership and originality surround all forms of music (and, indeed, all creative undertakings.) Nowhere are these questions more acute or more challenging than in digital music, where it …

What are the main ideas and highlights of Gödel, Escher, Bach?

Gödel, Escher, Bach by Douglas Hofstadter describes and defines the concept of recursion, and discusses its applications in computer science, consciousness, art, music, biology and various other fields. Recursion is crucial to writing computer programs in a compact, elegant way, but it also opens the door to infinite loops and irreconcilable logical contradictions.

Bach and Paul Simon

Since it was Easter yesterday, Anna wanted to listen to Bach’s St Matthew Passion while we did stuff around the house. A certain passage grabbed my ear, a hymn called “O Haupt voll Blut und Wunden” — in English, “O Sacred Head, Now Wounded.” This beautiful tune was immediately familiar to me, but I couldn’t …

Intro to minor keys

Minor keys are way more complicated than major keys. But the effort is worth it; all that complexity gives a richer array of expressive possibility. The best place to start with minor keys, paradoxically, is with the major scale modes. The pitches in E-flat major are the same as the ones in C natural minor. …