<<The octave intrigued Pythagoras but didn't deafen him to other pleasing > pairings of notes. He discovered, for instance, that a string divided so > that one part is precisely 1112 times as long as the other also sounds >a harmonious interval. That interval is known as the "perfect fifth.">> Surely that was supposed to be "one and a half times," not 1112 times. Somewhere along the way, the space after the first 1 was removed, and the slash in the one-half fraction got changed into a 1. Probably an HTML glitch. --Paul Mulik Joplin, MO
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