Gene Ward Smith: Difference between revisions
Wikispaces>genewardsmith **Imported revision 385029130 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-22 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-11-22 09:14:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>385039000</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Gene was among the first to consider extending the [[http://en.wikipedia.org/wiki/Tonnetz|Tonnetz]] of Hugo Riemann beyond the 5-limit and hence into higher dimensional [[http://en.wikipedia.org/wiki/Lattice_%28group%29|lattices]]. In three dimensions, the hexagonal lattice of [[Harmonic Limit|5-limit harmony]] extends to a lattice of type A3 ~ D3. He is also the first to write music in a number of exotic intonation systems. See [[Microtonal Music by Gene Ward Smith]]. | Gene was among the first to consider extending the [[http://en.wikipedia.org/wiki/Tonnetz|Tonnetz]] of Hugo Riemann beyond the 5-limit and hence into higher dimensional [[http://en.wikipedia.org/wiki/Lattice_%28group%29|lattices]]. In three dimensions, the hexagonal lattice of [[Harmonic Limit|5-limit harmony]] extends to a lattice of type A3 ~ D3. He is also the first to write music in a number of exotic intonation systems. See [[Microtonal Music by Gene Ward Smith]]. | ||
= | =Historical interest= | ||
[[ | [[USENET post from 1990 by Gene Smith on homomorphisms and kernels]] | ||
[[ | [[USENET post from 1995 by Gene Smith on homomorphisms and kernels]] | ||
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<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gene Ward Smith</title></head><body><strong>Gene Ward Smith</strong> (b. 1947) is a mathematician, music theorist, and composer.<br /> | <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>Gene Ward Smith</title></head><body><strong>Gene Ward Smith</strong> (b. 1947) is a mathematician, music theorist, and composer.<br /> | ||
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Gene was among the first to consider extending the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonnetz" rel="nofollow">Tonnetz</a> of Hugo Riemann beyond the 5-limit and hence into higher dimensional <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Lattice_%28group%29" rel="nofollow">lattices</a>. In three dimensions, the hexagonal lattice of <a class="wiki_link" href="/Harmonic%20Limit">5-limit harmony</a> extends to a lattice of type A3 ~ D3. He is also the first to write music in a number of exotic intonation systems. See <a class="wiki_link" href="/Microtonal%20Music%20by%20Gene%20Ward%20Smith">Microtonal Music by Gene Ward Smith</a>.<br /> | Gene was among the first to consider extending the <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tonnetz" rel="nofollow">Tonnetz</a> of Hugo Riemann beyond the 5-limit and hence into higher dimensional <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Lattice_%28group%29" rel="nofollow">lattices</a>. In three dimensions, the hexagonal lattice of <a class="wiki_link" href="/Harmonic%20Limit">5-limit harmony</a> extends to a lattice of type A3 ~ D3. He is also the first to write music in a number of exotic intonation systems. See <a class="wiki_link" href="/Microtonal%20Music%20by%20Gene%20Ward%20Smith">Microtonal Music by Gene Ward Smith</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc0"><a name=" | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc0"><a name="Historical interest"></a><!-- ws:end:WikiTextHeadingRule:6 -->Historical interest</h1> | ||
<a class=" | <a class="wiki_link" href="/USENET%20post%20from%201990%20by%20Gene%20Smith%20on%20homomorphisms%20and%20kernels">USENET post from 1990 by Gene Smith on homomorphisms and kernels</a><br /> | ||
<a class=" | <a class="wiki_link" href="/USENET%20post%20from%201995%20by%20Gene%20Smith%20on%20homomorphisms%20and%20kernels">USENET post from 1995 by Gene Smith on homomorphisms and kernels</a><!-- ws:start:WikiTextReferencesRule:35: --><hr class="references" /><ol class="references"> | ||
<li id="cite_note-1"><a href="#cite_ref-1">^</a> Rusin, Dave. &quot;Why 12 tones per octave?&quot; <a class="wiki_link_ext" href="http://www.math.niu.edu/~rusin/uses-math/music/12" rel="nofollow">http://www.math.niu.edu/~rusin/uses-math/music/12</a></li> | <li id="cite_note-1"><a href="#cite_ref-1">^</a> Rusin, Dave. &quot;Why 12 tones per octave?&quot; <a class="wiki_link_ext" href="http://www.math.niu.edu/~rusin/uses-math/music/12" rel="nofollow">http://www.math.niu.edu/~rusin/uses-math/music/12</a></li> | ||
<li id="cite_note-2"><a href="#cite_ref-2">^</a> OEIS. Increasingly large peaks of the Riemann zeta function on the critical line <a class="wiki_link_ext" href="http://oeis.org/A117536" rel="nofollow">http://oeis.org/A117536</a></li> | <li id="cite_note-2"><a href="#cite_ref-2">^</a> OEIS. Increasingly large peaks of the Riemann zeta function on the critical line <a class="wiki_link_ext" href="http://oeis.org/A117536" rel="nofollow">http://oeis.org/A117536</a></li> | ||
<li id="cite_note-3"><a href="#cite_ref-3">^</a> OEIS. Increasingly large integrals of the Z function between zeros <a class="wiki_link_ext" href="http://oeis.org/A117538" rel="nofollow">http://oeis.org/A117538</a></li> | <li id="cite_note-3"><a href="#cite_ref-3">^</a> OEIS. Increasingly large integrals of the Z function between zeros <a class="wiki_link_ext" href="http://oeis.org/A117538" rel="nofollow">http://oeis.org/A117538</a></li> | ||
</ol><!-- ws:end:WikiTextReferencesRule:35 --></body></html></pre></div> | </ol><!-- ws:end:WikiTextReferencesRule:35 --></body></html></pre></div> | ||