Hemifamity family: Difference between revisions
Wikispaces>xenwolf **Imported revision 164796119 - Original comment: some links added** |
Wikispaces>xenwolf **Imported revision 164978201 - Original comment: links added, some of them should describe the terminology** |
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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:xenwolf|xenwolf]] and made on <tt>2010-09-23 | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-23 16:01:44 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>164978201</tt>.<br> | ||
: The revision comment was: <tt> | : The revision comment was: <tt>links added, some of them should describe the terminology</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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[|1 0 0 0>, |5/4 1/4 1/8 -1/8>, | [|1 0 0 0>, |5/4 1/4 1/8 -1/8>, | ||
|0 0 1 0>, |5/2 -3/2 1/4 3/4>] | |0 0 1 0>, |5/2 -3/2 1/4 3/4>] | ||
Eigenmonzos: 2, 5/4, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7 | ||
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063 | Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063 | ||
Line 27: | Line 27: | ||
===Pele=== | ===Pele=== | ||
Commas: 441/440, 896/891 | [[Comma|Commas]]: 441/440, 896/891 | ||
Minimax tuning | [[Minimax tuning]] | ||
[|1 0 0 0 0>, |17/10 0 1/10 0 -1/10>, | [|1 0 0 0 0>, |17/10 0 1/10 0 -1/10>, | ||
|17/5 -2 6/5 0 -1/5>, | |17/5 -2 6/5 0 -1/5>, | ||
|16/5 -2 3/5 0 2/5>, |17/5 -2 1/5 0 4/5>] | |16/5 -2 3/5 0 2/5>, |17/5 -2 1/5 0 4/5>] | ||
Eigenmonzos: 2, 10/9, 11/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9 | ||
Map: [<1 0 0 10 17|, <0 1 0 -6 -10|, <0 0 1 1 1|] | Map: [<1 0 0 10 17|, <0 1 0 -6 -10|, <0 0 1 1 1|] | ||
Generators: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
Edos: 128, 145, 232 | [[edo|Edos]]: [[128edo|128]], [[145edo|145]], [[232edo|232]] | ||
===Laka=== | ===Laka=== | ||
Commas: 5120/5103, 540/539 | [[Comma|Commas]]: 5120/5103, 540/539 | ||
Minimax tuning | [[Minimax tuning]] | ||
[|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, | [|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, | ||
|0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, | |0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, | ||
|2 0 3/7 -5/7 5/7>] | |2 0 3/7 -5/7 5/7>] | ||
Eigenmonzos: 2, 5/4, 14/11 | [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 14/11 | ||
13 limit | 13 limit | ||
Commas: 352/351, 540/539, 847/845 | [[Comma|Commas]]: 352/351, 540/539, 847/845 | ||
13 and 15 limit minimax tuning | 13 and 15 limit minimax tuning | ||
Line 56: | Line 56: | ||
|25/8 -9/2 5/8 0 0 13/8>, | |25/8 -9/2 5/8 0 0 13/8>, | ||
|13/4 -3 1/4 0 0 5/4>] | |13/4 -3 1/4 0 0 5/4>] | ||
Eigenmonzos: 2, 11/8, 14/13 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13 | ||
17 limit | 17 limit | ||
Commas: 352/351, 540/539, 847/845, 442/441 | [[Comma|Commas]]: 352/351, 540/539, 847/845, 442/441 | ||
17-limit minimax | 17-limit minimax | ||
Line 69: | Line 69: | ||
|7/4 0 0 -1/4 1/2 1/4 0>, | |7/4 0 0 -1/4 1/2 1/4 0>, | ||
|35/12 0 0 23/12 5/6 -23/12 0>] | |35/12 0 0 23/12 5/6 -23/12 0>] | ||
Eigenmonzos: 2, 11/8, 14/13 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13 | ||
Map: [<1 0 0 10 -18 -13 32|, | Map: [<1 0 0 10 -18 -13 32|, | ||
<0 1 0 -6 15 12 -22|, <0 0 1 1 -1 -1 3|] | <0 1 0 -6 15 12 -22|, <0 0 1 1 -1 -1 3|] | ||
Generators: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
Edos: 94, 111, 152, 205, 345 | [[edo|Edos]]: [[94edo|94]], [[111edo|111], [[152edo|152]], [[205edo|205]], [[345edo|345]] | ||
===Akea=== | ===Akea=== | ||
Commas: 385/384, 2200/2187 | [[Comma|Commas]]: 385/384, 2200/2187 | ||
Minimax tuning | [[Minimax tuning]] | ||
[|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, | [|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, | ||
|0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, | |0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, | ||
|2 0 3/7 -5/7 5/7>] | |2 0 3/7 -5/7 5/7>] | ||
Eigenmonzos: 2, 14/11, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 7/5 | ||
Map: [<1 0 0 10 -3|, <0 1 0 -6 7|, <0 0 1 1 -2|] | Map: [<1 0 0 10 -3|, <0 1 0 -6 7|, <0 0 1 1 -2|] | ||
Generators: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
[[edo|EDOs]]: [[94edo|94]], [[140edo|140]], [[181edo|181]], [[408edo|408]] | |||
===Kapo=== | ===Kapo=== | ||
Commas: 5120/5103, 3025/3024 | [[Comma|Commas]]: 5120/5103, 3025/3024 | ||
Minimax tuning | [[Minimax tuning]] | ||
[|1 0 0 0 0>, |8/5 2/5 0 -1/15 -2/15>, | [|1 0 0 0 0>, |8/5 2/5 0 -1/15 -2/15>, | ||
|14/5 6/5 0 7/15 -16/15>, | |14/5 6/5 0 7/15 -16/15>, | ||
|16/5 -6/5 0 13/15 -4/15>, | |16/5 -6/5 0 13/15 -4/15>, | ||
|16/5 -6/5 0 -2/15 11/15>] | |16/5 -6/5 0 -2/15 11/15>] | ||
Eigenmonzos: 2, 11/9, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 9/7 | ||
Map: [<1 0 0 10 7|, <0 1 1 -5 -2|, <0 0 2 2 -1|] | Map: [<1 0 0 10 7|, <0 1 1 -5 -2|, <0 0 2 2 -1|] | ||
Generators: 2, 3, 128/99 | [[Generator|Generators]]: 2, 3, 128/99 | ||
[[edo|EDOs]]: [[152edo|152]], [[198edo|198]], [[239edo|239]], [[350edo|350]], [[391edo|391]], [[478edo|478]], [[589edo|589]]</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>Hemifamity family</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> | <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>Hemifamity family</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> | ||
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[|1 0 0 0&gt;, |5/4 1/4 1/8 -1/8&gt;, <br /> | [|1 0 0 0&gt;, |5/4 1/4 1/8 -1/8&gt;, <br /> | ||
|0 0 1 0&gt;, |5/2 -3/2 1/4 3/4&gt;]<br /> | |0 0 1 0&gt;, |5/2 -3/2 1/4 3/4&gt;]<br /> | ||
Eigenmonzos: 2, 5/4, 9/7<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 9/7<br /> | ||
<br /> | <br /> | ||
Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063<br /> | Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063<br /> | ||
Line 124: | Line 124: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit children-Pele"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pele</h3> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-11-limit children-Pele"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pele</h3> | ||
Commas: 441/440, 896/891<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 441/440, 896/891<br /> | ||
<br /> | <br /> | ||
Minimax tuning<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
[|1 0 0 0 0&gt;, |17/10 0 1/10 0 -1/10&gt;, <br /> | [|1 0 0 0 0&gt;, |17/10 0 1/10 0 -1/10&gt;, <br /> | ||
|17/5 -2 6/5 0 -1/5&gt;,<br /> | |17/5 -2 6/5 0 -1/5&gt;,<br /> | ||
|16/5 -2 3/5 0 2/5&gt;, |17/5 -2 1/5 0 4/5&gt;]<br /> | |16/5 -2 3/5 0 2/5&gt;, |17/5 -2 1/5 0 4/5&gt;]<br /> | ||
Eigenmonzos: 2, 10/9, 11/9<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/9<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 10 17|, &lt;0 1 0 -6 -10|, &lt;0 0 1 1 1|]<br /> | Map: [&lt;1 0 0 10 17|, &lt;0 1 0 -6 -10|, &lt;0 0 1 1 1|]<br /> | ||
Generators: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
Edos: 128, 145, 232<br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/128edo">128</a>, <a class="wiki_link" href="/145edo">145</a>, <a class="wiki_link" href="/232edo">232</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11-limit children-Laka"></a><!-- ws:end:WikiTextHeadingRule:6 -->Laka</h3> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11-limit children-Laka"></a><!-- ws:end:WikiTextHeadingRule:6 -->Laka</h3> | ||
Commas: 5120/5103, 540/539<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 540/539<br /> | ||
<br /> | <br /> | ||
Minimax tuning<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br /> | [|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br /> | ||
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br /> | |0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br /> | ||
|2 0 3/7 -5/7 5/7&gt;]<br /> | |2 0 3/7 -5/7 5/7&gt;]<br /> | ||
Eigenmonzos: 2, 5/4, 14/11<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 14/11<br /> | ||
<br /> | <br /> | ||
13 limit<br /> | 13 limit<br /> | ||
Commas: 352/351, 540/539, 847/845<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845<br /> | ||
<br /> | <br /> | ||
13 and 15 limit minimax tuning<br /> | 13 and 15 limit minimax tuning<br /> | ||
Line 153: | Line 153: | ||
|25/8 -9/2 5/8 0 0 13/8&gt;, <br /> | |25/8 -9/2 5/8 0 0 13/8&gt;, <br /> | ||
|13/4 -3 1/4 0 0 5/4&gt;]<br /> | |13/4 -3 1/4 0 0 5/4&gt;]<br /> | ||
Eigenmonzos: 2, 11/8, 14/13<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br /> | ||
<br /> | <br /> | ||
17 limit<br /> | 17 limit<br /> | ||
Commas: 352/351, 540/539, 847/845, 442/441<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845, 442/441<br /> | ||
<br /> | <br /> | ||
17-limit minimax<br /> | 17-limit minimax<br /> | ||
Line 166: | Line 166: | ||
|7/4 0 0 -1/4 1/2 1/4 0&gt;, <br /> | |7/4 0 0 -1/4 1/2 1/4 0&gt;, <br /> | ||
|35/12 0 0 23/12 5/6 -23/12 0&gt;]<br /> | |35/12 0 0 23/12 5/6 -23/12 0&gt;]<br /> | ||
Eigenmonzos: 2, 11/8, 14/13<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 10 -18 -13 32|, <br /> | Map: [&lt;1 0 0 10 -18 -13 32|, <br /> | ||
&lt;0 1 0 -6 15 12 -22|, &lt;0 0 1 1 -1 -1 3|]<br /> | &lt;0 1 0 -6 15 12 -22|, &lt;0 0 1 1 -1 -1 3|]<br /> | ||
Generators: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
Edos: 94, 111, 152, 205, 345<br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/111edo">111], [[152edo|152</a>, <a class="wiki_link" href="/205edo">205</a>, <a class="wiki_link" href="/345edo">345</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Akea"></a><!-- ws:end:WikiTextHeadingRule:8 -->Akea</h3> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Akea"></a><!-- ws:end:WikiTextHeadingRule:8 -->Akea</h3> | ||
Commas: 385/384, 2200/2187<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 2200/2187<br /> | ||
<br /> | <br /> | ||
Minimax tuning<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
[|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br /> | [|1 0 0 0 0&gt;, |4/3 0 2/21 -1/21 1/21&gt;, <br /> | ||
|0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br /> | |0 0 1 0 0&gt;, |2 0 3/7 2/7 -2/7&gt;, <br /> | ||
|2 0 3/7 -5/7 5/7&gt;]<br /> | |2 0 3/7 -5/7 5/7&gt;]<br /> | ||
Eigenmonzos: 2, 14/11, 7/5<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 7/5<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 10 -3|, &lt;0 1 0 -6 7|, &lt;0 0 1 1 -2|]<br /> | Map: [&lt;1 0 0 10 -3|, &lt;0 1 0 -6 7|, &lt;0 0 1 1 -2|]<br /> | ||
Generators: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/181edo">181</a>, <a class="wiki_link" href="/408edo">408</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Kapo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Kapo</h3> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Kapo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Kapo</h3> | ||
Commas: 5120/5103, 3025/3024<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 3025/3024<br /> | ||
<br /> | <br /> | ||
Minimax tuning<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
[|1 0 0 0 0&gt;, |8/5 2/5 0 -1/15 -2/15&gt;, <br /> | [|1 0 0 0 0&gt;, |8/5 2/5 0 -1/15 -2/15&gt;, <br /> | ||
|14/5 6/5 0 7/15 -16/15&gt;, <br /> | |14/5 6/5 0 7/15 -16/15&gt;, <br /> | ||
|16/5 -6/5 0 13/15 -4/15&gt;, <br /> | |16/5 -6/5 0 13/15 -4/15&gt;, <br /> | ||
|16/5 -6/5 0 -2/15 11/15&gt;]<br /> | |16/5 -6/5 0 -2/15 11/15&gt;]<br /> | ||
Eigenmonzos: 2, 11/9, 9/7<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 9/7<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 10 7|, &lt;0 1 1 -5 -2|, &lt;0 0 2 2 -1|]<br /> | Map: [&lt;1 0 0 10 7|, &lt;0 1 1 -5 -2|, &lt;0 0 2 2 -1|]<br /> | ||
Generators: 2, 3, 128/99<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 128/99<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/152edo">152</a>, <a class="wiki_link" href="/198edo">198</a>, <a class="wiki_link" href="/239edo">239</a>, <a class="wiki_link" href="/350edo">350</a>, <a class="wiki_link" href="/391edo">391</a>, <a class="wiki_link" href="/478edo">478</a>, <a class="wiki_link" href="/589edo">589</a></body></html></pre></div> |