Semicomma family: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 164353707 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 179375941 - Original comment: **
Line 1: Line 1:
<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>2010-09-21 15:44:49 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-14 15:45:41 UTC</tt>.<br>
: The original revision id was <tt>164353707</tt>.<br>
: The original revision id was <tt>179375941</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>
Line 22: Line 22:


7-limit
7-limit
[|1 0 0 0&gt;, |14/11 0 -7/11 7/11&gt;,
|27/11 0 3/11 -3/11&gt;, |27/11 0 -8/11 8/11&gt;]
[[Fractional monzos|Eigenmonzos]]: 2, 7/5
[[Fractional monzos|Eigenmonzos]]: 2, 7/5


9-limit
9-limit
[|1 0 0 0&gt;, |21/17 14/17 -7/17 0&gt;,
|42/17 -6/17 3/17 0&gt;, |41/17 16/17 -8/17 0&gt;]
Eigenmonzos: 2, 10/9
Eigenmonzos: 2, 10/9
Algebraic generators: Sabra3, the real root of 12x^3-7x-48.


11-limit
11-limit
[|1 0 0 0 0&gt;, |14/11 0 -7/11 7/11 0&gt;, |27/11 0 3/11 -3/110&gt;, |27/11 0 -8/11 8/11 0&gt;, |37/11 0 -2/11 2/11 0&gt;]
[[Comma|Commas]]: 99/98, 121/120, 176/175
[[Comma|Commas]]: 99/98, 121/120, 176/175


Minimax tuning
Minimax tuning
Eigenmonzos: 2, 7/5
Eigenmonzos: 2, 7/5


Line 56: Line 64:
&lt;br /&gt;
&lt;br /&gt;
7-limit&lt;br /&gt;
7-limit&lt;br /&gt;
[|1 0 0 0&amp;gt;, |14/11 0 -7/11 7/11&amp;gt;, &lt;br /&gt;
|27/11 0 3/11 -3/11&amp;gt;, |27/11 0 -8/11 8/11&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Fractional%20monzos"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5&lt;br /&gt;
&lt;a class="wiki_link" href="/Fractional%20monzos"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
9-limit&lt;br /&gt;
9-limit&lt;br /&gt;
[|1 0 0 0&amp;gt;, |21/17 14/17 -7/17 0&amp;gt;, &lt;br /&gt;
|42/17 -6/17 3/17 0&amp;gt;, |41/17 16/17 -8/17 0&amp;gt;]&lt;br /&gt;
Eigenmonzos: 2, 10/9&lt;br /&gt;
Eigenmonzos: 2, 10/9&lt;br /&gt;
&lt;br /&gt;
Algebraic generators: Sabra3, the real root of 12x^3-7x-48. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
11-limit&lt;br /&gt;
11-limit&lt;br /&gt;
[|1 0 0 0 0&amp;gt;, |14/11 0 -7/11 7/11 0&amp;gt;, |27/11 0 3/11 -3/110&amp;gt;, |27/11 0 -8/11 8/11 0&amp;gt;, |37/11 0 -2/11 2/11 0&amp;gt;]&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 99/98, 121/120, 176/175&lt;br /&gt;
&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 99/98, 121/120, 176/175&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Minimax tuning&lt;br /&gt;
Minimax tuning&lt;br /&gt;
&lt;br /&gt;
Eigenmonzos: 2, 7/5&lt;br /&gt;
Eigenmonzos: 2, 7/5&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 71: Line 87:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Music&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Music&lt;/h2&gt;
  &lt;!-- ws:start:WikiTextUrlRule:60:http://www.archive.org/details/TrioInOrwell --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioInOrwell" rel="nofollow"&gt;http://www.archive.org/details/TrioInOrwell&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:60 --&gt;&lt;br /&gt;
  &lt;!-- ws:start:WikiTextUrlRule:68:http://www.archive.org/details/TrioInOrwell --&gt;&lt;a class="wiki_link_ext" href="http://www.archive.org/details/TrioInOrwell" rel="nofollow"&gt;http://www.archive.org/details/TrioInOrwell&lt;/a&gt;&lt;!-- ws:end:WikiTextUrlRule:68 --&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101705" rel="nofollow"&gt;one drop of rain&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101704" rel="nofollow"&gt;i've come with a bucket of roses&lt;/a&gt;, and &lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839071" rel="nofollow"&gt;my own house&lt;/a&gt; by Andrew Heathwaite&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101705" rel="nofollow"&gt;one drop of rain&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=9101704" rel="nofollow"&gt;i've come with a bucket of roses&lt;/a&gt;, and &lt;a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839071" rel="nofollow"&gt;my own house&lt;/a&gt; by Andrew Heathwaite&lt;/body&gt;&lt;/html&gt;</pre></div>