Gamelismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 162336135 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 162404219 - 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 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-13 22:56:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>162404219</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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|2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10>] | |2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10>] | ||
Edos: 77, 108, 185</pre></div> | Edos: 77, 108, 185 | ||
===Guiron=== | |||
7-limit | |||
Commas: {1029/1024, 32805/32768} | |||
Minimax tuning: | |||
7+9 limit: [|1 0 0 0>, |15/8 0 -1/8 0>, | |||
|0 0 1 0>, |65/24 0 1/24 0>] | |||
11-limit: | |||
Commas: {385/384, 441/440, 3025/3024} | |||
Minimax tuning: | |||
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |20/7 -2/7 1 -6/7 0>, | |||
|20/7 -2/7 0 1/7 0>, |19/7 10/7 -1 2/7 0>] | |||
Edos: 118, 159 | |||
</pre></div> | |||
<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>Gamelismic clan</title></head><body>The [2,3,5]-<a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&gt;. For any member of the clan, and for the gamelismic temperament itself, this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more.<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>Gamelismic clan</title></head><body>The [2,3,5]-<a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&gt;. For any member of the clan, and for the gamelismic temperament itself, this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more.<br /> | ||
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|2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]<br /> | |2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]<br /> | ||
<br /> | <br /> | ||
Edos: 77, 108, 185</body></html></pre></div> | Edos: 77, 108, 185<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Full seven limit children-Guiron"></a><!-- ws:end:WikiTextHeadingRule:8 -->Guiron</h3> | |||
<br /> | |||
7-limit<br /> | |||
Commas: {1029/1024, 32805/32768}<br /> | |||
<br /> | |||
Minimax tuning:<br /> | |||
7+9 limit: [|1 0 0 0&gt;, |15/8 0 -1/8 0&gt;, <br /> | |||
|0 0 1 0&gt;, |65/24 0 1/24 0&gt;]<br /> | |||
<br /> | |||
11-limit:<br /> | |||
Commas: {385/384, 441/440, 3025/3024}<br /> | |||
<br /> | |||
Minimax tuning:<br /> | |||
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |20/7 -2/7 1 -6/7 0&gt;, <br /> | |||
|20/7 -2/7 0 1/7 0&gt;, |19/7 10/7 -1 2/7 0&gt;]<br /> | |||
<br /> | |||
Edos: 118, 159</body></html></pre></div> | |||