Pythagorean Comma

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher Pythagoras, is the microtonal interval defined as the difference between a Pythagorean apotome and a Pythagorean limma.This interval has serious implications for the various tuning schemes of the chromatic scale, because in Western music, 12 perfect fifths and seven octaves are treated as the same interval. Equal temperament, today the most common tuning system used in the West, reconciled this by flattening each fifth by a twelfth of a Pythagorean comma (approximately 2 cents), thus producing perfect octaves.

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Pagina's: 80, Paperback, Betascript Publishers