Gamelismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 162423913 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 162427321 - 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>2010-09-14 01: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-14 01:41:24 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>162427321</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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|79/27 0 0 5/27 -5/27>, |79/27 0 0 -22/27 22/27>] | |79/27 0 0 5/27 -5/27>, |79/27 0 0 -22/27 22/27>] | ||
Edos: 118, 149</pre></div> | Edos: 118, 149 | ||
===Tritikleismic=== | |||
7-limit | |||
Commas: {1029/1024, 15625/15552} | |||
Minimax tunings: | |||
7-limit: [|1 0 0 0>, |2 0 6/7 -6/7>, | |||
|8/3 0 5/7 -5/7>, |8/3 0 -2/7 2/7>] | |||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | |||
|46/21 5/7 0 -5/14>, |20/7 -2/7 0 1/7>] | |||
11-limit | |||
Commas: {385/384, 441/440, 4000/3993} | |||
Minimax tuning: | |||
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |46/21 5/7 0 -5/14 0>, | |||
|20/7 -2/7 0 1/7 0>, |71/21 3/7 0 -3/14 0>] | |||
Edos: 72, 159, 231</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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|79/27 0 0 5/27 -5/27&gt;, |79/27 0 0 -22/27 22/27&gt;]<br /> | |79/27 0 0 5/27 -5/27&gt;, |79/27 0 0 -22/27 22/27&gt;]<br /> | ||
<br /> | <br /> | ||
Edos: 118, 149</body></html></pre></div> | Edos: 118, 149<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-Full seven limit children-Tritikleismic"></a><!-- ws:end:WikiTextHeadingRule:14 -->Tritikleismic</h3> | |||
<br /> | |||
7-limit<br /> | |||
Commas: {1029/1024, 15625/15552}<br /> | |||
<br /> | |||
Minimax tunings:<br /> | |||
7-limit: [|1 0 0 0&gt;, |2 0 6/7 -6/7&gt;, <br /> | |||
|8/3 0 5/7 -5/7&gt;, |8/3 0 -2/7 2/7&gt;]<br /> | |||
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br /> | |||
|46/21 5/7 0 -5/14&gt;, |20/7 -2/7 0 1/7&gt;]<br /> | |||
<br /> | |||
11-limit<br /> | |||
Commas: {385/384, 441/440, 4000/3993}<br /> | |||
<br /> | |||
Minimax tuning:<br /> | |||
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |46/21 5/7 0 -5/14 0&gt;, <br /> | |||
|20/7 -2/7 0 1/7 0&gt;, |71/21 3/7 0 -3/14 0&gt;]<br /> | |||
<br /> | |||
Edos: 72, 159, 231</body></html></pre></div> | |||