The maths of music
First, have a listen to this midi file: Bark 1
In another life I used to teach music and I have always been interested in the close connection between math and music. The music you were listening to is actually based on fractals, that…
… exploit a new kind of inherent symmetry, closely related to the scaling invariance of fractals.
The music was made using the freeware application MusiNum, which takes sequences of numbers and allows you to turn them into mathematical sequence-based music. The site explains how the sequence of numbers is used to produce the music and there are several other example midi files there.
I also liked Burundi and Moonrise.
Update: I came across a related article from MetroWestdailynews.com: “Making music out of math” [no longer available]. At last, a realisation that not everyone (actually, very few) students are happy to listen to a lecturer drone on in their own world about mathematics. There are other intelligences and learning styles, and we should make an effort to address such differences.
From the article:
“By studying a piece of music, students can learn about fractions, patterns and problem solving,” said Pat Rourke, math coordinator for kindergarten through eighth grade for the Holliston schools. “Studying frequency can help them understand concepts in science and math. Learning how to graph a sound wave can teach them how to visually represent data.”
You may also be interested in:
What are the frequencies of music notes?
A logarithmic music scale - squareCircleZ
Fast Fourier Transform (talks about how CDs and MP3s are recorded)
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