Gamelismic clan: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 162124987 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 162127357 - 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>2010-09-13 03:28:43 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-13 03:58:39 UTC</tt>.<br>
: The original revision id was <tt>162124987</tt>.<br>
: The original revision id was <tt>162127357</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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==Full seven limit children==
==Full seven limit children==
To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.
To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.
===Miracle===
7-limit
Commas {1029/1024, 225/224}
Minimax tuning:
7-limit: [|1 0 0 0&gt;, |25/13 6/13 -6/13 0&gt;,
|25/13 -7/13 7/13 0&gt;, |35/13 -2/13 2/13 0&gt;]
9-limit:  [|1 0 0 0&gt;, |25/19 12/19 -6/19 0&gt;,
|50/19 -14/19 7/19 0&gt;, |55/19 -4/19 2/19 0&gt;]


===Rodan===
===Rodan===
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To the gamelisma itself we need to add the comma which appears next on the modified &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt;, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.&lt;br /&gt;
To the gamelisma itself we need to add the comma which appears next on the modified &lt;a class="wiki_link" href="/Normal%20lists"&gt;normal comma list&lt;/a&gt;, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Full seven limit children-Rodan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Rodan&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-Full seven limit children-Miracle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Miracle&lt;/h3&gt;
&lt;br /&gt;
7-limit&lt;br /&gt;
Commas {1029/1024, 225/224}&lt;br /&gt;
&lt;br /&gt;
Minimax tuning:&lt;br /&gt;
7-limit: [|1 0 0 0&amp;gt;, |25/13 6/13 -6/13 0&amp;gt;, &lt;br /&gt;
|25/13 -7/13 7/13 0&amp;gt;, |35/13 -2/13 2/13 0&amp;gt;]&lt;br /&gt;
9-limit:  [|1 0 0 0&amp;gt;, |25/19 12/19 -6/19 0&amp;gt;, &lt;br /&gt;
|50/19 -14/19 7/19 0&amp;gt;, |55/19 -4/19 2/19 0&amp;gt;]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Full seven limit children-Rodan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Rodan&lt;/h3&gt;
&lt;br /&gt;
&lt;br /&gt;
7-limit&lt;br /&gt;
7-limit&lt;br /&gt;