Diaschismic rank-3 family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 187385297 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 187405375 - 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>2010-12-11 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-11 20:22:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>187405375</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: [<2 0 11 0 -17|, <0 1 -2 0 4|, <0 0 0 1 2|] | Map: [<2 0 11 0 -17|, <0 1 -2 0 4|, <0 0 0 1 2|] | ||
EDOs: 58, 148, 160</pre></div> | EDOs: 58, 148, 160 | ||
==Claudius== | |||
Commas: 2048/2025, 540/539 | |||
Minimax tuning | |||
[|1 0 0 0 0>, |9/7 0 -3/7 2/7 1/7>, |41/14 0 6/7 -4/7 -2/7>, | |||
|41/14 0 -1/7 3/7 -2/7>, |41/14 0 -1/7 -4/7 5/7>] | |||
Eigenmonzos: 2, 7/5, 11/5 | |||
Map: [<2 0 11 0 15|, <0 1 -2 0 1|, <0 0 0 1 -2|] | |||
EDOs: 58, 80</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>Diaschismic rank three family</title></head><body>These are the rank three temperaments tempering out the diaschisma, 2048/2025. 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>Diaschismic rank three family</title></head><body>These are the rank three temperaments tempering out the diaschisma, 2048/2025. 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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<br /> | <br /> | ||
Map: [&lt;2 0 11 0 -17|, &lt;0 1 -2 0 4|, &lt;0 0 0 1 2|]<br /> | Map: [&lt;2 0 11 0 -17|, &lt;0 1 -2 0 4|, &lt;0 0 0 1 2|]<br /> | ||
EDOs: 58, 148, 160</body></html></pre></div> | EDOs: 58, 148, 160<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Claudius"></a><!-- ws:end:WikiTextHeadingRule:6 -->Claudius</h2> | |||
Commas: 2048/2025, 540/539<br /> | |||
<br /> | |||
Minimax tuning<br /> | |||
[|1 0 0 0 0&gt;, |9/7 0 -3/7 2/7 1/7&gt;, |41/14 0 6/7 -4/7 -2/7&gt;,<br /> | |||
|41/14 0 -1/7 3/7 -2/7&gt;, |41/14 0 -1/7 -4/7 5/7&gt;]<br /> | |||
Eigenmonzos: 2, 7/5, 11/5<br /> | |||
<br /> | |||
Map: [&lt;2 0 11 0 15|, &lt;0 1 -2 0 1|, &lt;0 0 0 1 -2|]<br /> | |||
EDOs: 58, 80</body></html></pre></div> | |||
Revision as of 20:22, 11 December 2010
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-12-11 20:22:46 UTC.
- The original revision id was 187405375.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
These are the rank three temperaments tempering out the diaschisma, 2048/2025. 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. ==Julius== Commas: 176/175, 896/891 Minimax tuning [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |-1/8 3/2 -5/4 0 1>, |11/8 -1/2 -1/4 0 1>] Eigenmonzos: 2, 12/11, 10/9 Map: [<2 0 11 0 14|, <0 1 -2 0 -4|, <0 0 0 1 1 |] EDOs: 58, 68, 80, 126 ==Augustus== Commas: 385/384, 1232/1215 Minimax tuning [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |45/16 3/4 -3/8 1/2 -1/2>, |45/16 3/4 -3/8 -1/2 1/2>] Eigenmonzos: 2, 10/9, 14/11 Map: [<2 0 11 0 3|, <0 1 -2 0 3|, <0 0 0 1 -1|] EDOs: 46, 68, 114, 124 ==Tiberius== Commas: 2048/2025, 441/440 Minimax tuning [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, |0 0 0 1 0>, |-3 2 -1 2 0>] Eigenmonzos: 2, 9/5, 7 Map: [<2 0 11 0 -17|, <0 1 -2 0 4|, <0 0 0 1 2|] EDOs: 58, 148, 160 ==Claudius== Commas: 2048/2025, 540/539 Minimax tuning [|1 0 0 0 0>, |9/7 0 -3/7 2/7 1/7>, |41/14 0 6/7 -4/7 -2/7>, |41/14 0 -1/7 3/7 -2/7>, |41/14 0 -1/7 -4/7 5/7>] Eigenmonzos: 2, 7/5, 11/5 Map: [<2 0 11 0 15|, <0 1 -2 0 1|, <0 0 0 1 -2|] EDOs: 58, 80
Original HTML content:
<html><head><title>Diaschismic rank three family</title></head><body>These are the rank three temperaments tempering out the diaschisma, 2048/2025. 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 /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Julius"></a><!-- ws:end:WikiTextHeadingRule:0 -->Julius</h2> Commas: 176/175, 896/891<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, <br /> |-1/8 3/2 -5/4 0 1>, |11/8 -1/2 -1/4 0 1>]<br /> Eigenmonzos: 2, 12/11, 10/9<br /> <br /> Map: [<2 0 11 0 14|, <0 1 -2 0 -4|, <0 0 0 1 1 |]<br /> EDOs: 58, 68, 80, 126<br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-Augustus"></a><!-- ws:end:WikiTextHeadingRule:2 -->Augustus</h2> Commas: 385/384, 1232/1215<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, <br /> |45/16 3/4 -3/8 1/2 -1/2>, |45/16 3/4 -3/8 -1/2 1/2>]<br /> Eigenmonzos: 2, 10/9, 14/11<br /> <br /> Map: [<2 0 11 0 3|, <0 1 -2 0 3|, <0 0 0 1 -1|]<br /> EDOs: 46, 68, 114, 124<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h2> --><h2 id="toc2"><a name="x-Tiberius"></a><!-- ws:end:WikiTextHeadingRule:4 -->Tiberius</h2> Commas: 2048/2025, 441/440<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |11/8 1/2 -1/4 0 0>, |11/4 -1 1/2 0 0>, <br /> |0 0 0 1 0>, |-3 2 -1 2 0>]<br /> Eigenmonzos: 2, 9/5, 7<br /> <br /> Map: [<2 0 11 0 -17|, <0 1 -2 0 4|, <0 0 0 1 2|]<br /> EDOs: 58, 148, 160<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h2> --><h2 id="toc3"><a name="x-Claudius"></a><!-- ws:end:WikiTextHeadingRule:6 -->Claudius</h2> Commas: 2048/2025, 540/539<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |9/7 0 -3/7 2/7 1/7>, |41/14 0 6/7 -4/7 -2/7>,<br /> |41/14 0 -1/7 3/7 -2/7>, |41/14 0 -1/7 -4/7 5/7>]<br /> Eigenmonzos: 2, 7/5, 11/5<br /> <br /> Map: [<2 0 11 0 15|, <0 1 -2 0 1|, <0 0 0 1 -2|]<br /> EDOs: 58, 80</body></html>