Pythagorean
Pythagorean Pythagorean means of or pertaining to the ancient ... music theorist Pythagoras. See: Philosophy Pythagoreanism Mathematics Pythagorean theorem Pythagorean triple Pythagorean prime Pythagorean trigonometric identity Music Pythagorean ...
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Pythagorean tune   (translated from Japanese)
Pythagorean tune Pythagorean tune（- It is the り) The け ... able to obtain the semitone floor by Pythagorean tune. C - C# - D -Eb - E - F ... is stipulated by ピュタゴラス tune, calls this Pythagorean musical scale. In addition you stop the ... generally known long musical scale are called Pythagorean musical scale. C - D - E - F - ...
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Pythagorean triple
Pythagorean triple The Pythagorean theorem: a 2 + b 2 = c 2 A Pythagorean triple consists of three positive integers a ... 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc ... for any positive integer k. A primitive Pythagorean triple is one in which a, ...
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Pythagorean tuning
Pythagorean tuning Pythagorean tuning is a system of musical tuning ... for many other methods of tuning. Method Pythagorean tuning is based on a stack of ... however, as the above table indicates, in Pythagorean tuning, they theoretically have different ratios, and ... of a semitone, is known as a Pythagorean comma. To get around this problem, ...
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Pythagorean theorem
Pythagorean theorem The Pythagorean theorem: The sum of the areas of ... on the hypotenuse (purple). In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation ... law of cosines, a generalization of the Pythagorean theorem. This theorem may have a greater ... other. In 1940, a book called The Pythagorean Proposition containing 370 different proofs of ...
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Pythagorean intervals
Pythagorean intervals Names Ratio Cents comma 531441/524288 ... 2/1 1200.0 The intervals of Pythagorean tuning are just intervals involving only powers ... are the only absolute consonances of the Pythagorean system. All other intervals have varying degrees ... is the only other superparticular ratio of Pythagorean tuning, as shown by Størmer's theorem ... equal temperament, they are not equal in Pythagorean tuning, and their difference, 531441/524288, ...
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Pythagorean means
Pythagorean means The three classical Pythagorean means are the Arithmetic mean (A), the ... of arithmetic and geometric means External links Pythagorean Means on MathWorld
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Pythagorean prime
Pythagorean prime A Pythagorean prime is prime number of the form 4n + 1. The first few Pythagorean primes are 5, 13, 17, 29, 37 ... primes, at least one of which is Pythagorean, then p is a quadratic residue mod ... contrast, if neither p nor q is Pythagorean, then p is a quadratic residue ...
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Pythagorean hammers
Pythagorean hammers According to legend, Pythagoras discovered the ... the Universe. New York, Grove Press, 1993 "Pythagorean hammers" Harvard Dictionary of Music. Second Edition ...
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Pythagorean expectation
Pythagorean expectation Pythagorean expectation is a formula invented by Bill ... is important to keep in mind that Pythagorean estimation is an empirical observation that correlates ... noted basketball analyst Dean Oliver applied James' pythagorean theory to his own sport, the result ... Baseball statistics Sabermetrics External links Applying the pythagorean expectation to Football: Includes a discussion ...
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