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 …
Category Archives: Math
Is music the most abstract art form?
The Quora question that prompted this post asks: Why has music been historically the most abstract art form? We can see highly developed musical forms in renaissance polyphony and baroque counterpoint. The secular forms of this music is often non-programmatic or “absolute music.” In contrast to this, the paintings and sculpture of those times are …
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.
Visualizing music
Computer-based music production and composition involves the eyes as much as the ears. The representations in audio editors like Pro Tools and Ableton Live are purely informational, waveforms and grids and linear graphs. Some visualization systems are purely decorative, like the psychedelic semi-random graphics produced by iTunes. Some systems lie in between. I see rich …
Biggie Biggie Smalls Is The Illest
I always enjoy when hip-hop artists sample themselves. It makes the music recursive, and for me, “recursive” is synonymous with “good.” You can hear self-sampling in “Nas Is Like” by Nas, “The Score” by the Fugees and many songs by Eric B and Rakim. The most recent self-sampling track to cross my radar is “Unbelievable” …
What is the relationship between music and math?
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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The Amen Break
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
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.
How does a computer work?
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 …
Why is so much music written in 4-4?
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, …