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.
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 …
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 …
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 …
Continue reading “What is the relationship between music and math?”
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 …