What the heck is the LIGO chirp?

I recently posted a track on SoundCloud that included the sonification of LIGO’s gravitational wave data. A student asked me what that meant. Since today is Albert Einstein’s birthday, what better time to try to formulate an answer? https://soundcloud.com/ethanhein/ligo-chirp First, some context: 1.3 billion years ago, two black holes collided. Each was about thirty times as …

Defining harmonic relatedness

Linear music notation is good for reading, but it doesn’t tell you everything you want to know about underlying musical structure. Notes that are close to each vertically are not necessarily the most closely related. The concept of harmonic relatedness is a complex one, but there’s an excellent tool for beginning to get a handle on it: …

Digital audio basics

Before you can understand how digital audio works, you need to know a few things about the physics of sound. This animation shows a sound wave emanating through the air from a circular source — imagine that it’s a drum or cymbal. As you can see, sound is a wave, like a ripple in a …

Can science make a better music theory?

My last post discussed how we should be deriving music theory from empirical observation of what people like using ethnomusicology. Another good strategy would be to derive music theory from observation of what’s going on between our ears. Daniel Shawcross Wilkerson has attempted just that in his essay, Harmony Explained: Progress Towards A Scientific Theory …

Toward a better music theory

Update: a version of this post appeared on Slate.com. I seem to have touched a nerve with my rant about the conventional teaching of music theory and how poorly it serves practicing musicians. I thought it would be a good idea to follow that up with some ideas for how to make music theory more …

Why do musical notes sound different on different instruments?

A musical pitch is a blend of many different frequencies beside the fundamental. Here’s a visualization of the different vibrational modes of an ideal string. The string’s movements are the sum of all these different modes simultaneously.

Music theory and quantum mechanics

In high school science class, you probably saw a picture of an atom that looked like this: The picture shows a stylized nucleus with red protons and blue neutrons, surrounded by three grey electrons. It’s an attractive and iconic image. It makes a nice logo. Unfortunately, it’s also totally wrong. There’s an extent to which …

How is Earth’s gravity generated?

Gravity is the warping of spacetime by mass or energy. A mass like the Earth warps spacetime so that the shortest path, the “path of least resistance,” for inertial movement is towards the Earth’s center. Using instruments like the Hubble Space Telescope, it’s possible to literally see the warping of spacetime by very massive objects …

May the weak force be with you

I follow science news the way normal dudes follow sports. If you’re geekily inclined like me, you may have heard that the particle physics people are getting closer to producing the Higgs boson. You may have wondered what that is exactly, and why you should care. The science press has nicknamed the Higgs “the God …

Dig the big bang

In Annie Hall, young Woody Allen explains to his doctor that he won’t do his homework because the universe is expanding, so what’s the point? His mother exasperatedly tells him, “You’re here in Brooklyn. Brooklyn is not expanding!” I post this because I’ve been reading Coming Of Age In The Milky Way by Tim Ferris, …