Music is richly mathematical, and an understanding of one subject can be a great help in understanding the other. Geometry and angles My masters thesis is devoted in part to a method for teaching math concepts using a drum machine organized on a radial grid. Placing rhythms on a circle gives a good multisensory window …
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If you had to name the most influential drummer in contemporary music, who would you pick? If you’re a rock fan, you might go with Ringo Starr, John Bonham, or Keith Moon. A jazz fan might choose Max Roach, Elvin Jones, or Tony Williams. You probably wouldn’t think to name Gregory Cylvester Coleman. But he’s …
Probability is a deeply weird and disturbing topic. The harder I look at it, the weirder and more disturbing it becomes. I find the many-worlds interpretation of quantum mechanics to be the least weird and disturbing way to think about it.
Computers can only do a few very simple operations consisting of flipping electrical switches on and off. You can represent numbers in patterns of the on-off states of sequences of switches. By flipping switches on and off in particular patterns, you can perform simple mathematical operations on the numbers. You can do more complex mathematical …
I have a theory that what people find most interesting in music is self-reference, recursion and fractal-like scale-invariance. Rhythms based on powers of two are a great way to get this kind of recursion because they can be compounded or subdivided so easily. A bar of four can be treated as two bars of two, …
Last night I caught a lecture by David Kirkpatrick on his book The Facebook Effect. This post is going to be about Kirkpatrick’s discussion of the book, not the book itself, since I just got it last night and haven’t started reading it yet. But his talk certainly conveyed the flavor. Kirkpatrick had one significant …
I’ve picked up some new guitar students lately, so I’m once again doing a lot of explaining what a tritone is and why people should care. Whenever I find myself explaining something a lot, I like to encapsulate it as a blog post. So here we go. A tritone is the interval between the notes …
This song represents a lot of firsts for Michael Jackson. It was the first single from Off The Wall, and the first recording MJ made that he had complete creative control over. Many of his hits were written by Quincy Jones or Rod Temperton or the guys from Toto, but Michael wrote this one himself. …
Writing a song is a lot like writing a computer program. They both require clever management of loops and control flow. The simplest sheet music reads as a straightforward top-to-bottom list of instructions. You start on measure one and read through to the end sequentially. That’s fine unless the music is very repetitive, which most …
When you learned division in school, the teacher probably brushed off the issue of dividing by zero in one sentence: you can’t do it, moving on. You might feel like you got shortchanged by that explanation. Why not? What happens when you divide by zero?
