David Cohn in Seed Magazine:
In 580 BC the Greek philosopher Pythagoras discovered that harmonies could be expressed mathematically. His insight, which is based on the observation that doubling or halving the size of an instrument’s string produces a new octave, is the cornerstone of the musical scale.
Twenty-five hundred years later, two Canadian mathematicians from the University of Moncton in New Brunswick have created an entirely new kind of string instrument that exploits a kind of mathematics owing more to Pythagoras’s theorem for triangles than to anything he ever thought about music.
The Tritare is a Y-shaped guitar-like instrument, custom made by Claude Gauthier and Samuel Gaudet. The strings twist through three necks (Spinal Tap, eat your heart out), all of which project from the body of the instrument at different angles. When strummed, the result is a “network” of vibrations that yields a
More here.