Benedetti height: Difference between revisions

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-The ''Benedetti height'' of a positive rational number N/D reduced to lowest terms (no common factor between N and D) is equal to N*D, the product of the numerator and denominator. The logarithm base two of the Benedetti height is the [[Tenney_Height|Tenney height]], or Tenney norm. The name is based on the fact that the scientist, mathematician and music theorist [http://www.webcitation.org/6076Lm8r4 Giovanni Battista Benedetti] first proposed it as a measure of inharmonicity. It may be the first number-theoretic [[Height|height]] function ever defined for any purpose.
+The ''Benedetti height'' of a positive rational number N/D reduced to lowest terms (no common factor between N and D) is equal to N*D, the product of the numerator and denominator.
+The logarithm base two of the Benedetti height is the [[Tenney_Height|Tenney height]], or Tenney norm.
+The name is based on the fact that the scientist, mathematician and music theorist [http://www.webcitation.org/6076Lm8r4 Giovanni Battista Benedetti] first proposed it as a measure of inharmonicity. It may be the first number-theoretic [[Height|height]] function ever defined for any purpose.
 See also [[Kees_Height|Kees Height.]]