Benedetti height
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- This revision was by author xenwolf and made on 2012-06-13 06:42:11 UTC.
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Original Wikitext content:
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]], 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 function ever defined for any purpose. see also [[Kees Height]]
Original HTML content:
<html><head><title>Benedetti height</title></head><body>The <em>Benedetti height</em> 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 <a class="wiki_link" href="/Tenney%20height">Tenney height</a>, or Tenney norm. The name is based on the fact that the scientist, mathematician and music theorist <a class="wiki_link_ext" href="http://www.webcitation.org/6076Lm8r4" rel="nofollow">Giovanni Battista Benedetti</a> first proposed it as a measure of inharmonicity. It may be the first number theoretic height function ever defined for any purpose.<br /> <br /> see also <a class="wiki_link" href="/Kees%20Height">Kees Height</a></body></html>