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Thursday, Apr 22, 2010
by PopMatters Staff
by Jan Swafford
Slate (20 April 2010)

“Pythagoras also realized in mathematical terms, if you start with a C at the bottom of a piano keyboard and tune a series of 12 perfect 3:2 fifths up to the top, you discover that where you expect to have returned to a perfect high C, that C is overshot, intolerably out of tune. In other words, nature’s math doesn’t add up. A series of perfect intervals doesn’t end at a perfect interval from where you started. If you tune three perfect 5:4 major thirds, it should logically add up to an octave, but it doesn’t; the result is egregiously flat. It is this innate irreconcilability of pitch that, through the centuries, has driven men mad.”


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