Gamelismic clan: Difference between revisions
Wikispaces>genewardsmith **Imported revision 162404219 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 162414343 - 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>2010-09-13 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-13 23:53:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>162414343</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 87: | Line 87: | ||
Edos: 118, 159 | Edos: 118, 159 | ||
</pre></div> | |||
===Unidec=== | |||
7-limit | |||
Commas: {1029/1024, 4375/4374} | |||
Minimax tuning: | |||
7-limit: [|1 0 0 0>, |47/26 0 6/13 -6/13>, | |||
|71/26 0 11/13 -11/13>, |71/26 0 -2/13 2/13>] | |||
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, | |||
|57/28 11/7 0 -11/14>, |20/7 -2/7 0 1/7>] | |||
11-limit | |||
Commas: {1029/1024, 4375/4374, 441/440} | |||
Minimax tuning: | |||
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |57/28 11/7 0 -11/14 0>, | |||
|20/7 -2/7 0 1/7 0>, |99/28 -3/7 0 3/14 0>] | |||
Edos: 118, 190</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 /> | ||
| Line 169: | Line 188: | ||
|20/7 -2/7 0 1/7 0&gt;, |19/7 10/7 -1 2/7 0&gt;]<br /> | |20/7 -2/7 0 1/7 0&gt;, |19/7 10/7 -1 2/7 0&gt;]<br /> | ||
<br /> | <br /> | ||
Edos: 118, 159</body></html></pre></div> | Edos: 118, 159<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-Full seven limit children-Unidec"></a><!-- ws:end:WikiTextHeadingRule:10 -->Unidec</h3> | |||
<br /> | |||
7-limit<br /> | |||
Commas: {1029/1024, 4375/4374}<br /> | |||
<br /> | |||
Minimax tuning:<br /> | |||
7-limit: [|1 0 0 0&gt;, |47/26 0 6/13 -6/13&gt;, <br /> | |||
|71/26 0 11/13 -11/13&gt;, |71/26 0 -2/13 2/13&gt;]<br /> | |||
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br /> | |||
|57/28 11/7 0 -11/14&gt;, |20/7 -2/7 0 1/7&gt;]<br /> | |||
<br /> | |||
11-limit<br /> | |||
Commas: {1029/1024, 4375/4374, 441/440}<br /> | |||
<br /> | |||
Minimax tuning:<br /> | |||
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |57/28 11/7 0 -11/14 0&gt;,<br /> | |||
|20/7 -2/7 0 1/7 0&gt;, |99/28 -3/7 0 3/14 0&gt;]<br /> | |||
<br /> | |||
Edos: 118, 190</body></html></pre></div> | |||