Breed family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 190462728 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 190567324 - 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>2011-01- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-03 00:53:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>190567324</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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[[Generator|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]] | ||
Badness: 0.0000153 | |||
Scales: [[breed11]] | Scales: [[breed11]] | ||
==Jove, aka Wonder== | |||
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo. | Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo. | ||
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[[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/5, 11/8 | ||
Map: [<1 1 1 2 2|, <0 2 1 1 5|, <0 0 2 1 0|] | |||
EDOs: 31, 41, 58, 72, 130, 202 | EDOs: 31, 41, 58, 72, 130, 202 | ||
Badness: 0.000241 | Badness: 0.000241 | ||
13-limit | ===13-limit=== | ||
[[Comma|Commas]]: 243/242, 441/440, 364/363 | [[Comma|Commas]]: 243/242, 441/440, 364/363 | ||
| Line 60: | Line 60: | ||
Badness: 0.000624 | Badness: 0.000624 | ||
===Jofur=== | |||
Commas: 243/242, 441/440, 144/143 | Commas: 243/242, 441/440, 144/143 | ||
| Line 67: | Line 67: | ||
Badness: 0.000749 | Badness: 0.000749 | ||
17-limit | ====17-limit==== | ||
Commas: 243/242, 441/440, 364/363, 595/594 | Commas: 243/242, 441/440, 364/363, 595/594 | ||
| Line 82: | Line 82: | ||
Badness: 0.000741 | Badness: 0.000741 | ||
==Freya== | |||
11-limit | 11-limit | ||
[[Comma|Commas]]: 2401/2400, 3025/3024 | [[Comma|Commas]]: 2401/2400, 3025/3024 | ||
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Badness: 0.000170 | Badness: 0.000170 | ||
13-limit | ===13-limit=== | ||
Commas: 2401/2400, 3025/3024, 4096/4095 | Commas: 2401/2400, 3025/3024, 4096/4095 | ||
| Line 104: | Line 104: | ||
Badness: 0.000855 | Badness: 0.000855 | ||
==Baldur== | |||
[[Comma|Commas]]: 2401/2400, 9801/9800 | [[Comma|Commas]]: 2401/2400, 9801/9800 | ||
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Badness: 0.000166 | Badness: 0.000166 | ||
13-limit | ===13-limit=== | ||
Commas: 2401/2400, 9801/9800, 1001/1000 | Commas: 2401/2400, 9801/9800, 1001/1000 | ||
| Line 125: | Line 125: | ||
Badness: 0.000433 | Badness: 0.000433 | ||
==Agni== | |||
[[Comma|Commas]]: 385/384, 1375/1372 | [[Comma|Commas]]: 385/384, 1375/1372 | ||
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Badness: 0.000494 | Badness: 0.000494 | ||
13-limit | ===13-limit=== | ||
Commas: 385/384, 1375/1372, 625/624 | Commas: 385/384, 1375/1372, 625/624 | ||
| Line 151: | Line 151: | ||
Badness: 0.000923 | Badness: 0.000923 | ||
==Vili== | |||
Commas: 2401/2400, 391314/390625 | Commas: 2401/2400, 391314/390625 | ||
Map: [<1 1 5 4 10|, <0 2 3 2 6|, <0 0 -6 -3 -14|] | |||
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583 | EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583 | ||
Badness: 0.00126 | |||
13-limit | ===13-limit=== | ||
Commas: 2401/2400, 10985/10976, 1001/1000 | Commas: 2401/2400, 10985/10976, 1001/1000 | ||
Map: [<1 1 5 4 10 4|, <0 2 3 2 6 1|, <0 0 -6 -3 -14 -1|] | |||
EDOs: 37, 93, 103, 130, 233, 270, 643 | EDOs: 37, 93, 103, 130, 233, 270, 643 | ||
Badness: 0.000738 | |||
==Zisa== | |||
Commas: 2401/2400, 5632/5625 | Commas: 2401/2400, 5632/5625 | ||
Map: [<1 1 1 2 -3|, <0 2 1 1 8|, <0 0 2 1 8|] | |||
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210 | EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210 | ||
Badness: 0.000640 | |||
13-limit | ===13-limit=== | ||
Commas: 2401/2400, 5632/5625, 4096/4095 | Commas: 2401/2400, 5632/5625, 4096/4095 | ||
Map: [<1 1 1 2 -3 7|, <0 2 1 1 8 -6|, <0 0 2 1 8 -3|] | |||
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241 | EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241 | ||
Badness: 0.000830 | |||
==Frigg== | |||
Commas: 2401/2400, 644204/643125 | Commas: 2401/2400, 644204/643125 | ||
Map: [<1 1 3 3 4|, <0 2 3 2 4|, <0 0 -10 -5 -11|] | |||
EDOs: 51, 58, 103, 161, 212, 270, 643, 913 | EDOs: 51, 58, 103, 161, 212, 270, 643, 913 | ||
Badness: 0.00179 | |||
13-limit | ===13-limit=== | ||
Commas: 2401/2400, 10648/10647, 1001/1000 | Commas: 2401/2400, 10648/10647, 1001/1000 | ||
Map: [<1 1 3 3 4 5|, <0 2 3 2 4 3|, <0 0 -10 -5 -11 -14|] | |||
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344 | EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344 | ||
</pre></div> | Badness: 0.000934</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 /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 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 /> | ||
Badness: 0.0000153<br /> | |||
<br /> | <br /> | ||
Scales: <a class="wiki_link" href="/breed11">breed11</a><br /> | Scales: <a class="wiki_link" href="/breed11">breed11</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Jove, aka Wonder"></a><!-- ws:end:WikiTextHeadingRule:2 -->Jove, aka Wonder</h2> | ||
Jove, formerly known as wonder, tempers out 243/242 and 441/440. Wonder has been deprecated as a name due to conflict with another temperament also given that name. Jove converts breed into an 11-limit temperament via 441/440, which equates 49/40 with 11/9, and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. 72, 130 and 171 are good edos for jove, and if that doesn't suit there's 476edo.<br /> | |||
<br /> | <br /> | ||
11-limit<br /> | 11-limit<br /> | ||
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<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5, 11/8<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5, 11/8<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 2|, &lt;0 2 1 1 5|, &lt;0 0 2 1 0|]<br /> | |||
EDOs: 31, 41, 58, 72, 130, 202<br /> | EDOs: 31, 41, 58, 72, 130, 202<br /> | ||
Badness: 0.000241<br /> | Badness: 0.000241<br /> | ||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Jove, aka Wonder-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h3> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440, 364/363<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440, 364/363<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000624<br /> | Badness: 0.000624<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt; | <!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Jove, aka Wonder-Jofur"></a><!-- ws:end:WikiTextHeadingRule:6 -->Jofur</h3> | ||
Commas: 243/242, 441/440, 144/143<br /> | Commas: 243/242, 441/440, 144/143<br /> | ||
<br /> | <br /> | ||
| Line 243: | Line 254: | ||
Badness: 0.000749<br /> | Badness: 0.000749<br /> | ||
<br /> | <br /> | ||
17-limit< | <!-- ws:start:WikiTextHeadingRule:8:&lt;h4&gt; --><h4 id="toc4"><a name="x-Jove, aka Wonder-Jofur-17-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->17-limit</h4> | ||
Commas: 243/242, 441/440, 364/363, 595/594<br /> | Commas: 243/242, 441/440, 364/363, 595/594<br /> | ||
<br /> | <br /> | ||
| Line 258: | Line 269: | ||
Badness: 0.000741<br /> | Badness: 0.000741<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Freya"></a><!-- ws:end:WikiTextHeadingRule:10 -->Freya</h2> | ||
11-limit<br /> | 11-limit<br /> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 3025/3024<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 3025/3024<br /> | ||
| Line 272: | Line 283: | ||
Badness: 0.000170<br /> | Badness: 0.000170<br /> | ||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-Freya-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h3> | ||
Commas: 2401/2400, 3025/3024, 4096/4095<br /> | Commas: 2401/2400, 3025/3024, 4096/4095<br /> | ||
<br /> | <br /> | ||
| Line 280: | Line 291: | ||
Badness: 0.000855<br /> | Badness: 0.000855<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc7"><a name="x-Baldur"></a><!-- ws:end:WikiTextHeadingRule:14 -->Baldur</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 9801/9800<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 9801/9800<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000166<br /> | Badness: 0.000166<br /> | ||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x-Baldur-13-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->13-limit</h3> | ||
Commas: 2401/2400, 9801/9800, 1001/1000<br /> | Commas: 2401/2400, 9801/9800, 1001/1000<br /> | ||
<br /> | <br /> | ||
| Line 301: | Line 312: | ||
Badness: 0.000433<br /> | Badness: 0.000433<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x-Agni"></a><!-- ws:end:WikiTextHeadingRule:18 -->Agni</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 1375/1372<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 1375/1372<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000494<br /> | Badness: 0.000494<br /> | ||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="x-Agni-13-limit"></a><!-- ws:end:WikiTextHeadingRule:20 -->13-limit</h3> | ||
Commas: 385/384, 1375/1372, 625/624<br /> | Commas: 385/384, 1375/1372, 625/624<br /> | ||
<br /> | <br /> | ||
| Line 327: | Line 338: | ||
Badness: 0.000923<br /> | Badness: 0.000923<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Vili"></a><!-- ws:end:WikiTextHeadingRule:22 -->Vili</h2> | ||
Commas: 2401/2400, 391314/390625<br /> | Commas: 2401/2400, 391314/390625<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 5 4 10|, &lt;0 2 3 2 6|, &lt;0 0 -6 -3 -14|]<br /> | |||
EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583<br /> | EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583<br /> | ||
Badness: 0.00126<br /> | |||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="x-Vili-13-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->13-limit</h3> | ||
Commas: 2401/2400, 10985/10976, 1001/1000<br /> | Commas: 2401/2400, 10985/10976, 1001/1000<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 5 4 10 4|, &lt;0 2 3 2 6 1|, &lt;0 0 -6 -3 -14 -1|]<br /> | |||
EDOs: 37, 93, 103, 130, 233, 270, 643<br /> | EDOs: 37, 93, 103, 130, 233, 270, 643<br /> | ||
Badness: 0.000738<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x-Zisa"></a><!-- ws:end:WikiTextHeadingRule:26 -->Zisa</h2> | ||
Commas: 2401/2400, 5632/5625<br /> | Commas: 2401/2400, 5632/5625<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 -3|, &lt;0 2 1 1 8|, &lt;0 0 2 1 8|]<br /> | |||
EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210<br /> | EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210<br /> | ||
Badness: 0.000640<br /> | |||
<br /> | <br /> | ||
13-limit< | <!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="x-Zisa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->13-limit</h3> | ||
Commas: 2401/2400, 5632/5625, 4096/4095<br /> | Commas: 2401/2400, 5632/5625, 4096/4095<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 -3 7|, &lt;0 2 1 1 8 -6|, &lt;0 0 2 1 8 -3|]<br /> | |||
EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241<br /> | EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241<br /> | ||
Badness: 0.000830<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x-Frigg"></a><!-- ws:end:WikiTextHeadingRule:30 -->Frigg</h2> | ||
Commas: 2401/2400, 644204/643125<br /> | Commas: 2401/2400, 644204/643125<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 3 4|, &lt;0 2 3 2 4|, &lt;0 0 -10 -5 -11|]<br /> | |||
EDOs: 51, 58, 103, 161, 212, 270, 643, 913<br /> | EDOs: 51, 58, 103, 161, 212, 270, 643, 913<br /> | ||
Badness: 0.00179<br /> | |||
<br /> | <br /> | ||
13-limit < | <!-- ws:start:WikiTextHeadingRule:32:&lt;h3&gt; --><h3 id="toc16"><a name="x-Frigg-13-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->13-limit</h3> | ||
Commas: 2401/2400, 10648/10647, 1001/1000<br /> | Commas: 2401/2400, 10648/10647, 1001/1000<br /> | ||
<br /> | <br /> | ||
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344</body></html></pre></div> | Map: [&lt;1 1 3 3 4 5|, &lt;0 2 3 2 4 3|, &lt;0 0 -10 -5 -11 -14|]<br /> | ||
EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344<br /> | |||
Badness: 0.000934</body></html></pre></div> | |||