Tonality diamond
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2014-08-18 02:43:00 UTC.
- The original revision id was 518801100.
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Original Wikitext content:
The q-odd-limit tonality diamond is the [[Diamonds|diamond]] function applied to the odd numbers from 1 to q: diamond({1, 3, 5, ..., q}). Another way of defining it is in terms of the most common number theoretic height function on rational numbers: H(N/M) = max(|M|, |N|); as all rational numbers which are the quotient of two positive odd integers N/M with H(N/M) ≤ q, reduced to the octave.
[[http://en.wikipedia.org/wiki/Tonality_diamond|Wikipedia article on the tonality diamond]] Original HTML content:
<html><head><title>Tonality diamond</title></head><body>The q-odd-limit tonality diamond is the <a class="wiki_link" href="/Diamonds">diamond</a> function applied to the odd numbers from 1 to q: diamond({1, 3, 5, ..., q}). Another way of defining it is in terms of the most common number theoretic height function on rational numbers: H(N/M) = max(|M|, |N|); as all rational numbers which are the quotient of two positive odd integers N/M with H(N/M) ≤ q, reduced to the octave.<br />
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<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">Wikipedia article on the tonality diamond</a></body></html>