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Serialism, as it is sometimes known, came and evolved in various ways. The idea being that music was confined to a certain key and if it deviated, it had to return to that key.Īlbert Einstein with Arnold Schoenberg (right) and Composer Leopold Godowsky at Carnegie Hall, 1934
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Tonality was a guiding principle in music from around 1600. It's a tonality that gives us harmony - perhaps a similar sense of harmony to that which Pythagoras saw in the stars. The human ear yearns for such familiar structures, sounds that resolve, or "frames of reference," as Maor puts it. A ratio of 3:2, meanwhile, gives you a perfect fifth - from the root to the "top note" of a basic "major triad" chord. His theory of universal harmony may have failed, but his ratios live on.Ī ratio of 2:1 gives you an octave - two of the same note, with one pitched at double the frequency of the other. I might not know I'm controlling the bit crusher but my ears tell me 'Oh, that sounds good,' and the more I move my finger to the left, the more extreme the sound gets, I can add dynamics to the sound," says Black. I was never very good at math, I was into chemistry," says Black, "but I do have that respect for it. "And people say music is basically mathematics - like harmony, relationship.
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My talking to you now is being mediated through mathematical operations on ones and zeros," says Matt Black, a musician and creative software pioneer, who has a background in science. "Everything is math when you get down to it. That didn't stop a group of scientists at Yale University in the 1970s, among them Willie Ruff, a jazz musician and musicologist, from turning Kepler's inaudible planetary calculations into sound using computer synthesis. "Finally, he realized the idea was wrong." I dare say that 30 years of his short life were wasted, searching for the orbit of the planets in musical laws of harmony," Maor says.
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The idea influenced science "negatively," says Maor, for a few thousand years, right up until the astronomers Johannes Kepler and Galileo Galilei came along. "And from that he made this huge leap of faith to say that the whole universe ran according to these simple numbers," says Maor. Pythagoras and his followers believed numbers ruled the universe