Breed family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 165111123 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 165351625 - Original comment: added some links** |
||
| 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-25 12:26:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>165351625</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>added some links</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> | ||
| Line 16: | Line 16: | ||
Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|] | Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|] | ||
Map [<1 1 1 2|, <0 2 1 1|, <0 0 2 1|] | Map [<1 1 1 2|, <0 2 1 1|, <0 0 2 1|] | ||
Generators: 2, 49/40, 10/7 | [[Generator|Generators]]: 2, 49/40, 10/7 | ||
[[edo|EDOs]]: [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2749edo|2749]] | [[edo|EDOs]]: [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2749edo|2749]] | ||
| Line 25: | Line 25: | ||
11-limit | 11-limit | ||
Commas: 243/242, 441/440 | [[Comma|Commas]]: 243/242, 441/440 | ||
Minimax tuning | [[Minimax tuning]] | ||
[|1 0 0 0 0>, |1/5 0 0 0 2/5>, | [|1 0 0 0 0>, |1/5 0 0 0 2/5>, | ||
|13/5 0 2 -2 1/5>, |13/5 0 1 -1 1/5>, | |13/5 0 2 -2 1/5>, |13/5 0 1 -1 1/5>, | ||
|0 0 0 0 1>] | |0 0 0 0 1>] | ||
Eigenmonzos: 7/5,11/8 | [[Eigenmonzo|Eigenmonzos]]: 7/5,11/8 | ||
13-limit | 13-limit | ||
Commas: 243/242, 441/440, 364/363 | [[Comma|Commas]]: 243/242, 441/440, 364/363 | ||
13-limit minimax | 13-limit minimax | ||
| Line 41: | Line 41: | ||
|37/11 -30/11 5/11 0 0 10/11>, | |37/11 -30/11 5/11 0 0 10/11>, | ||
|34/11 -46/11 4/11 0 0 19/11>] | |34/11 -46/11 4/11 0 0 19/11>] | ||
Eigenmonzos: 2, 10/9, 13/10 (or 13/9) | [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/10 (or 13/9) | ||
15-limit minimax | 15-limit minimax | ||
| Line 49: | Line 49: | ||
|9/2 -5/8 5/4 -15/8 0 5/8>, | |9/2 -5/8 5/4 -15/8 0 5/8>, | ||
|11/2 -11/8 7/4 -25/8 0 11/8>] | |11/2 -11/8 7/4 -25/8 0 11/8>] | ||
Eigenmonzos: 2, 15/13, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5 | ||
17-limit minimax | 17-limit minimax | ||
| Line 57: | Line 57: | ||
|22/3 -11/6 19/3 -49/6 0 0 11/6>, | |22/3 -11/6 19/3 -49/6 0 0 11/6>, | ||
|6 -3/2 3 -9/2 0 0 3/2>] | |6 -3/2 3 -9/2 0 0 3/2>] | ||
Eigenmonzos: 2, 17/15, 7/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 17/15, 7/5 | ||
Map: [<1 1 1 2 2 1 3|, <0 2 1 1 5 11 9|, <0 0 2 1 0 -1 -3|] | Map: [<1 1 1 2 2 1 3|, <0 2 1 1 5 11 9|, <0 0 2 1 0 -1 -3|] | ||
| Line 65: | Line 65: | ||
===Freya=== | ===Freya=== | ||
11-limit | 11-limit | ||
Commas: 2401/2400, 3025/3024 | [[Comma|Commas]]: 2401/2400, 3025/3024 | ||
11-limit minimax | 11-limit minimax | ||
| Line 71: | Line 71: | ||
|11/10 11/10 0 4/5 -4/5>, | |11/10 11/10 0 4/5 -4/5>, | ||
|9/5 4/5 0 2/5 -2/5>, |9/5 4/5 0 -3/5 3/5>] | |9/5 4/5 0 2/5 -2/5>, |9/5 4/5 0 -3/5 3/5>] | ||
Eigenmonzos: 2, 14/11, 4/3 | [[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3 | ||
Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -2 3|] | Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -2 3|] | ||
Generators: 2, 49/40, 55/42 | [[Generator|Generators]]: 2, 49/40, 55/42 | ||
[[edo|Edos]]: [[270edo|270]], [[342edo|342]], [[612edo|612]] | [[edo|Edos]]: [[270edo|270]], [[342edo|342]], [[612edo|612]] | ||
===Baldur=== | ===Baldur=== | ||
Commas: 2401/2400, 9801/9800 | [[Comma|Commas]]: 2401/2400, 9801/9800 | ||
11-limit minimax | 11-limit minimax | ||
| Line 84: | Line 84: | ||
|0 0 1 0 0>, |23/16 0 5/8 1/8 -1/8>, | |0 0 1 0 0>, |23/16 0 5/8 1/8 -1/8>, | ||
|23/16 0 5/8 -7/8 7/8>] | |23/16 0 5/8 -7/8 7/8>] | ||
Eigenmonzos: 5/4, 14/11 | [[Eigenmonzo|Eigenmonzos]]: 5/4, 14/11 | ||
Map: [<2 0 1 3 7|, <0 2 1 1 -2|, <0 0 2 1 3|] | Map: [<2 0 1 3 7|, <0 2 1 1 -2|, <0 0 2 1 3|] | ||
Generators: 99/70, 343/198, 10/7 | [[Generator|Generators]]: 99/70, 343/198, 10/7 | ||
[[edo|Edos]]: [[612edo|612]], [[742edo|742]], [[1012edo|1012]], [[1084edo|1084]], [[1696edo|1696]], [[2308edo|2308]] | [[edo|Edos]]: [[612edo|612]], [[742edo|742]], [[1012edo|1012]], [[1084edo|1084]], [[1696edo|1696]], [[2308edo|2308]] | ||
===Agni=== | ===Agni=== | ||
Commas: 385/384, 1375/1372 | [[Comma|Commas]]: 385/384, 1375/1372 | ||
11-limit minimax | 11-limit minimax | ||
| Line 98: | Line 98: | ||
|12/5 2/5 1/5 0 -1/5>, | |12/5 2/5 1/5 0 -1/5>, | ||
|23/10 3/10 -3/5 0 3/5>] | |23/10 3/10 -3/5 0 3/5>] | ||
Eigenmonzos: 2, 4/3, 11/10 | [[Eigenmonzo|Eigenmonzos]]: 2, 4/3, 11/10 | ||
Latice basis: 49/40 length 0.756, 10/7 length 0.819 | Latice basis: 49/40 length 0.756, 10/7 length 0.819 | ||
| Line 105: | Line 105: | ||
Map: [<1 1 1 2 5|, <0 2 1 1 0|, <0 0 2 1 -3|] | Map: [<1 1 1 2 5|, <0 2 1 1 0|, <0 0 2 1 -3|] | ||
Generators: 2, 49/40, 10/7 | [[Generator|Generators]]: 2, 49/40, 10/7 | ||
Edos: 212, 284</pre></div> | [[edo|Edos]]: [[212edo|212]], [[284edo|284]]</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>Breed family</title></head><body>Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick.<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>Breed family</title></head><body>Breed is a 7-limit microtemperament which tempers out 2401/2400. While it is so accurate it hardly matters what is used to temper it, or whether it is tempered at all, 2749et will certainly do the trick.<br /> | ||
| Line 118: | Line 118: | ||
Map to lattice: [&lt;0 2 -1 0|, &lt;0 0 -2 -1|]<br /> | Map to lattice: [&lt;0 2 -1 0|, &lt;0 0 -2 -1|]<br /> | ||
Map [&lt;1 1 1 2|, &lt;0 2 1 1|, &lt;0 0 2 1|]<br /> | Map [&lt;1 1 1 2|, &lt;0 2 1 1|, &lt;0 0 2 1|]<br /> | ||
Generators: 2, 49/40, 10/7<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 10/7<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/441edo">441</a>, <a class="wiki_link" href="/612edo">612</a>, <a class="wiki_link" href="/2308edo">2308</a>, <a class="wiki_link" href="/2749edo">2749</a><br /> | <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/441edo">441</a>, <a class="wiki_link" href="/612edo">612</a>, <a class="wiki_link" href="/2308edo">2308</a>, <a class="wiki_link" href="/2749edo">2749</a><br /> | ||
<br /> | <br /> | ||
| Line 127: | Line 127: | ||
<br /> | <br /> | ||
11-limit<br /> | 11-limit<br /> | ||
Commas: 243/242, 441/440<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440<br /> | ||
<br /> | <br /> | ||
Minimax tuning<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> | ||
[|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;, <br /> | [|1 0 0 0 0&gt;, |1/5 0 0 0 2/5&gt;, <br /> | ||
|13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;, <br /> | |13/5 0 2 -2 1/5&gt;, |13/5 0 1 -1 1/5&gt;, <br /> | ||
|0 0 0 0 1&gt;]<br /> | |0 0 0 0 1&gt;]<br /> | ||
Eigenmonzos: 7/5,11/8<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 7/5,11/8<br /> | ||
<br /> | <br /> | ||
13-limit<br /> | 13-limit<br /> | ||
Commas: 243/242, 441/440, 364/363<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440, 364/363<br /> | ||
<br /> | <br /> | ||
13-limit minimax<br /> | 13-limit minimax<br /> | ||
| Line 143: | Line 143: | ||
|37/11 -30/11 5/11 0 0 10/11&gt;, <br /> | |37/11 -30/11 5/11 0 0 10/11&gt;, <br /> | ||
|34/11 -46/11 4/11 0 0 19/11&gt;]<br /> | |34/11 -46/11 4/11 0 0 19/11&gt;]<br /> | ||
Eigenmonzos: 2, 10/9, 13/10 (or 13/9)<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 13/10 (or 13/9)<br /> | ||
<br /> | <br /> | ||
15-limit minimax<br /> | 15-limit minimax<br /> | ||
| Line 151: | Line 151: | ||
|9/2 -5/8 5/4 -15/8 0 5/8&gt;,<br /> | |9/2 -5/8 5/4 -15/8 0 5/8&gt;,<br /> | ||
|11/2 -11/8 7/4 -25/8 0 11/8&gt;]<br /> | |11/2 -11/8 7/4 -25/8 0 11/8&gt;]<br /> | ||
Eigenmonzos: 2, 15/13, 7/5<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 15/13, 7/5<br /> | ||
<br /> | <br /> | ||
17-limit minimax<br /> | 17-limit minimax<br /> | ||
| Line 159: | Line 159: | ||
|22/3 -11/6 19/3 -49/6 0 0 11/6&gt;, <br /> | |22/3 -11/6 19/3 -49/6 0 0 11/6&gt;, <br /> | ||
|6 -3/2 3 -9/2 0 0 3/2&gt;]<br /> | |6 -3/2 3 -9/2 0 0 3/2&gt;]<br /> | ||
Eigenmonzos: 2, 17/15, 7/5<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 17/15, 7/5<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 2 1 3|, &lt;0 2 1 1 5 11 9|, &lt;0 0 2 1 0 -1 -3|]<br /> | Map: [&lt;1 1 1 2 2 1 3|, &lt;0 2 1 1 5 11 9|, &lt;0 0 2 1 0 -1 -3|]<br /> | ||
| Line 167: | Line 167: | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11-limit children-Freya"></a><!-- ws:end:WikiTextHeadingRule:6 -->Freya</h3> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-11-limit children-Freya"></a><!-- ws:end:WikiTextHeadingRule:6 -->Freya</h3> | ||
11-limit<br /> | 11-limit<br /> | ||
Commas: 2401/2400, 3025/3024<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 3025/3024<br /> | ||
<br /> | <br /> | ||
11-limit minimax<br /> | 11-limit minimax<br /> | ||
| Line 173: | Line 173: | ||
|11/10 11/10 0 4/5 -4/5&gt;, <br /> | |11/10 11/10 0 4/5 -4/5&gt;, <br /> | ||
|9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]<br /> | |9/5 4/5 0 2/5 -2/5&gt;, |9/5 4/5 0 -3/5 3/5&gt;]<br /> | ||
Eigenmonzos: 2, 14/11, 4/3<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 4/3<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]<br /> | Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -2 3|]<br /> | ||
Generators: 2, 49/40, 55/42<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 55/42<br /> | ||
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/270edo">270</a>, <a class="wiki_link" href="/342edo">342</a>, <a class="wiki_link" href="/612edo">612</a><br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/270edo">270</a>, <a class="wiki_link" href="/342edo">342</a>, <a class="wiki_link" href="/612edo">612</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Baldur"></a><!-- ws:end:WikiTextHeadingRule:8 -->Baldur</h3> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-11-limit children-Baldur"></a><!-- ws:end:WikiTextHeadingRule:8 -->Baldur</h3> | ||
Commas: 2401/2400, 9801/9800<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 9801/9800<br /> | ||
<br /> | <br /> | ||
11-limit minimax<br /> | 11-limit minimax<br /> | ||
| Line 186: | Line 186: | ||
|0 0 1 0 0&gt;, |23/16 0 5/8 1/8 -1/8&gt;, <br /> | |0 0 1 0 0&gt;, |23/16 0 5/8 1/8 -1/8&gt;, <br /> | ||
|23/16 0 5/8 -7/8 7/8&gt;]<br /> | |23/16 0 5/8 -7/8 7/8&gt;]<br /> | ||
Eigenmonzos: 5/4, 14/11<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 5/4, 14/11<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]<br /> | Map: [&lt;2 0 1 3 7|, &lt;0 2 1 1 -2|, &lt;0 0 2 1 3|]<br /> | ||
Generators: 99/70, 343/198, 10/7<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 99/70, 343/198, 10/7<br /> | ||
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/612edo">612</a>, <a class="wiki_link" href="/742edo">742</a>, <a class="wiki_link" href="/1012edo">1012</a>, <a class="wiki_link" href="/1084edo">1084</a>, <a class="wiki_link" href="/1696edo">1696</a>, <a class="wiki_link" href="/2308edo">2308</a><br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/612edo">612</a>, <a class="wiki_link" href="/742edo">742</a>, <a class="wiki_link" href="/1012edo">1012</a>, <a class="wiki_link" href="/1084edo">1084</a>, <a class="wiki_link" href="/1696edo">1696</a>, <a class="wiki_link" href="/2308edo">2308</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Agni"></a><!-- ws:end:WikiTextHeadingRule:10 -->Agni</h3> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-11-limit children-Agni"></a><!-- ws:end:WikiTextHeadingRule:10 -->Agni</h3> | ||
Commas: 385/384, 1375/1372<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 1375/1372<br /> | ||
<br /> | <br /> | ||
11-limit minimax<br /> | 11-limit minimax<br /> | ||
| Line 200: | Line 200: | ||
|12/5 2/5 1/5 0 -1/5&gt;, <br /> | |12/5 2/5 1/5 0 -1/5&gt;, <br /> | ||
|23/10 3/10 -3/5 0 3/5&gt;]<br /> | |23/10 3/10 -3/5 0 3/5&gt;]<br /> | ||
Eigenmonzos: 2, 4/3, 11/10<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 4/3, 11/10<br /> | ||
<br /> | <br /> | ||
Latice basis: 49/40 length 0.756, 10/7 length 0.819<br /> | Latice basis: 49/40 length 0.756, 10/7 length 0.819<br /> | ||
| Line 207: | Line 207: | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]<br /> | Map: [&lt;1 1 1 2 5|, &lt;0 2 1 1 0|, &lt;0 0 2 1 -3|]<br /> | ||
Generators: 2, 49/40, 10/7<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 10/7<br /> | ||
Edos: 212, 284</body></html></pre></div> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/212edo">212</a>, <a class="wiki_link" href="/284edo">284</a></body></html></pre></div> | ||