|
|
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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, [[octave-reduce|reduced to the octave]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-02-18 08:58:03 UTC</tt>.<br>
| |
| : The original revision id was <tt>575158371</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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, [[octave-reduce|reduced to the octave]].
| |
|
| |
|
| See also | | See also |
| * [[https://en.wikipedia.org/wiki/Tonality_diamond|Tonality diamond - Wikipedia, the free encyclopedia]]
| | |
| * [[http://www.tonalsoft.com/enc/t/tonality-diamond.aspx|tonality diamond - arrangement of musical frequency ratios showing the dual identity of each ratio]]</pre></div>
| | <ul><li>[https://en.wikipedia.org/wiki/Tonality_diamond Tonality diamond - Wikipedia, the free encyclopedia]</li><li>[http://www.tonalsoft.com/enc/t/tonality-diamond.aspx tonality diamond - arrangement of musical frequency ratios showing the dual identity of each ratio]</li></ul> [[Category:diamond]] |
| <h4>Original HTML content:</h4>
| | [[Category:refonly]] |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Tonality diamond</title></head><body>The q-odd-limit <strong>tonality diamond</strong> 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, <a class="wiki_link" href="/octave-reduce">reduced to the octave</a>.<br />
| | [[Category:theory]] |
| <br />
| |
| See also<br />
| |
| <ul><li><a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Tonality_diamond" rel="nofollow">Tonality diamond - Wikipedia, the free encyclopedia</a></li><li><a class="wiki_link_ext" href="http://www.tonalsoft.com/enc/t/tonality-diamond.aspx" rel="nofollow">tonality diamond - arrangement of musical frequency ratios showing the dual identity of each ratio</a></li></ul></body></html></pre></div>
| |