I was sad to learn about the recent death of Godfried Toussaint, whose work on the geometry of musical rhythm has been a major inspiration for me. I never met Godfried, but I have read and re-read his work. His rhythm necklace diagrams were the direct inspiration for the Groove Pizza – I saw them …
Category Archives: Math
The Groove Pizzeria
For his NYU music technology masters thesis, Tyler Bisson created a web app called Groove Pizzeria, a polyrhythmic/polymetric extension of the Groove Pizza. Click the image to try it for yourself. Note that the Groove Pizzeria is still a prototype, and it doesn’t yet have the full feature set that the Groove Pizza does. …
Why can’t you tune your guitar?
Short answer: because math. Longer answer: because prime numbers don’t divide into each other evenly. To understand what follows, you need to know some facts about the physics of vibrating strings: When you pluck a guitar string, it vibrates to and fro. You can tell how fast the string is vibrating by listening to the …
Chord pizzas
The Groove Pizza uses geometry to help visualize rhythms. The MusEDLab is planning to create a similar tool for visualizing music theory by merging the aQWERTYon with the Scale Wheel. When you put the twelve pitch classes in a circle, you can connect the dots between different notes in a chord or scale to form shapes. My …
The vocoder and Auto-Tune
The vocoder is one of those mysterious technologies that’s far more widely used than understood. Here I explain what it is, how it works, and why you should care. Casual music listeners know the vocoder best as a way to make the robot voice effect that Daft Punk uses all the time. Here’s Huston Singletary …
Seeing classic beats with the Groove Pizza
We created the Groove Pizza to make it easier to both see and hear rhythms. The next step is to create learning experiences around it. In this post, I’ll use the Pizza to explain the structure of some quintessential funk and hip-hop beats. You can click each one in the Groove Pizza, where you can customize or alter it as you see …
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Beats and scales
I don’t know a lot about Afro-Caribbean rhythms, beyond the fact that they cause me intense joy whenever I hear them. My formal music education has focused almost exclusively on harmony, and I’ve had to learn about rhythm mostly on my own. That’s why it was so exciting for me to discover the work of …
Fractal music
Continuing my series of posts on the ways that science might explain why we like the music we like. See also my posts on the science of rock harmony, harmony generally, and Afro-Cuban rhythms. Quora user Marc Ettlinger recently sent me a paper by Sherri Novis-Livengood, Richard White, and Patrick CM Wong entitled Fractal complexity …
Why is son clave so awesome?
One of the best discoveries I made while researching the Groove Pizza is the mathematician Godfried Toussaint. While the bookshelves groan with mathematical analyses of Western harmony, Toussaint is the rare scholar who uses the same tools to understand Afro-Cuban rhythms. He’s especially interested in the rhythm known to Latin musicians as 3-2 son clave, …
Teaching math with the Drum Loop
I’ve undergone some evolution in my thinking about the intended audience for my thesis app. My original idea was to aim it at the general public. But the general public is maybe not quite so obsessed with breakbeats as I am. Then I started working with Alex Ruthmann, and he got me thinking about the …