Kleismic rank three family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 166260967 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 166292701 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-29 01:40:34 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>166292701</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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Map: [<1 0 1 0 6|, <0 6 5 0 1|, <0 0 0 1 -1|] | Map: [<1 0 1 0 6|, <0 6 5 0 1|, <0 0 0 1 -1|] | ||
Generators: 2, 6/5, 7 | Generators: 2, 6/5, 7 | ||
13-limit | 13-limit | ||
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Map: [<1 0 1 0 6 0|, <0 6 5 0 1 14|, <0 0 0 1 -1 0|] | Map: [<1 0 1 0 6 0|, <0 6 5 0 1 14|, <0 0 0 1 -1 0|] | ||
Generators: 2, 6/5, 7 | Generators: 2, 6/5, 7 | ||
Edos: 15, 19, 34, 53, 57, 68, 72, 87, 159, 212, 284, 299</pre></div> | Edos: 15, 19, 34, 53, 57, 68, 72, 87, 159, 212, 284, 299 | ||
===Enki=== | |||
Commas: 15625/15552, 3025/3024 | |||
Minimax tuning | |||
[|1 0 0 0 0>, |-18/13 0 6/13 -6/13 12/13>, | |||
|-2/13 0 5/13 -5/13 10/13>, | |||
|-2/13 0 -8/13 8/13 10/13>, |0 0 0 0 1>] | |||
Eigenmonzos: 2, 11/8, 7/5 | |||
Map: [<1 0 1 0 1|, <0 6 5 0 4|, <0 0 0 2 1|] | |||
Generators: 2, 6/5, 66/25 | |||
Edos: 15, 49, 57, 72, 87, 159, 193, 231, 265, 280, 337, 352, 439 | |||
</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>Kleismic rank three family</title></head><body>These are the rank three temperaments tempering out the kleisma, 15625/15552. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.<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>Kleismic rank three family</title></head><body>These are the rank three temperaments tempering out the kleisma, 15625/15552. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth.<br /> | ||
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Map: [&lt;1 0 1 0 6|, &lt;0 6 5 0 1|, &lt;0 0 0 1 -1|]<br /> | Map: [&lt;1 0 1 0 6|, &lt;0 6 5 0 1|, &lt;0 0 0 1 -1|]<br /> | ||
Generators: 2, 6/5, 7<br /> | Generators: 2, 6/5, 7<br /> | ||
<br /> | <br /> | ||
13-limit<br /> | 13-limit<br /> | ||
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Map: [&lt;1 0 1 0 6 0|, &lt;0 6 5 0 1 14|, &lt;0 0 0 1 -1 0|]<br /> | Map: [&lt;1 0 1 0 6 0|, &lt;0 6 5 0 1 14|, &lt;0 0 0 1 -1 0|]<br /> | ||
Generators: 2, 6/5, 7<br /> | Generators: 2, 6/5, 7<br /> | ||
Edos: 15, 19, 34, 53, 57, 68, 72, 87, 159, 212, 284, 299</body></html></pre></div> | Edos: 15, 19, 34, 53, 57, 68, 72, 87, 159, 212, 284, 299<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--Enki"></a><!-- ws:end:WikiTextHeadingRule:2 -->Enki</h3> | |||
Commas: 15625/15552, 3025/3024<br /> | |||
<br /> | |||
Minimax tuning<br /> | |||
[|1 0 0 0 0&gt;, |-18/13 0 6/13 -6/13 12/13&gt;, <br /> | |||
|-2/13 0 5/13 -5/13 10/13&gt;, <br /> | |||
|-2/13 0 -8/13 8/13 10/13&gt;, |0 0 0 0 1&gt;]<br /> | |||
Eigenmonzos: 2, 11/8, 7/5<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 0 1|, &lt;0 6 5 0 4|, &lt;0 0 0 2 1|]<br /> | |||
Generators: 2, 6/5, 66/25<br /> | |||
Edos: 15, 49, 57, 72, 87, 159, 193, 231, 265, 280, 337, 352, 439</body></html></pre></div> | |||