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One day, according to legend, Pythagoras was toying with a monochord, a box with a string on it.

By moving a sliding bridge up and down the monochord, Pythagoras changed the notes that the device played.

Putting the bridge on the monochord so it touches the string changes the notes that are played.

When you place the bridge exactly in the middle of the monochord, touching the center of the string, each half of the string plays the same note: a tone exactly one octave higher than the string’s fundamental.

The harmony of the monochord was the harmony of mathematics—and the harmony of the universe.