Breed family: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 205578352 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 205578896 - 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>2011-02-28 03: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-28 03:16:39 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>205578896</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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EDOs: 41, 58, 72, 130, 243 | EDOs: 41, 58, 72, 130, 243 | ||
Badness: 0.000624 | Badness: 0.000624 | ||
====17-limit==== | ====17-limit==== | ||
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[[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[435edo|435]], [[476edo|476]] | [[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[435edo|435]], [[476edo|476]] | ||
Badness: 0.000741 | Badness: 0.000741 | ||
===Jofur=== | |||
Commas: 243/242, 441/440, 144/143 | |||
Map: [<1 1 1 2 2 4|, <0 2 1 1 5 -1|, <0 0 2 1 0 0|] | |||
EDOs: 10, 31, 41, 58 | |||
Badness: 0.000749 | |||
===Jovis=== | |||
Commas: 243/242, 351/350, 441/440 | |||
Map: [<1 1 1 2 2 2|, <0 2 1 1 5 -3|, <0 0 2 1 0 5|] | |||
EDOs: 31, 58, 72, 103, 130, 233, 363 | |||
Badness: 0.000542 | |||
==Freya== | ==Freya== | ||
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Badness: 0.000624<br /> | Badness: 0.000624<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6 | <!-- ws:start:WikiTextHeadingRule:6:&lt;h4&gt; --><h4 id="toc3"><a name="x-Jove, aka Wonder-Jovial-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->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 /> | ||
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<a class="wiki_link" href="/edo">Edos</a>: 41, 58, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/171edo">171</a>, <a class="wiki_link" href="/243edo">243</a>, <a class="wiki_link" href="/274edo">274</a>, <a class="wiki_link" href="/346edo">346</a>, <a class="wiki_link" href="/435edo">435</a>, <a class="wiki_link" href="/476edo">476</a><br /> | <a class="wiki_link" href="/edo">Edos</a>: 41, 58, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/171edo">171</a>, <a class="wiki_link" href="/243edo">243</a>, <a class="wiki_link" href="/274edo">274</a>, <a class="wiki_link" href="/346edo">346</a>, <a class="wiki_link" href="/435edo">435</a>, <a class="wiki_link" href="/476edo">476</a><br /> | ||
Badness: 0.000741<br /> | Badness: 0.000741<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Jove, aka Wonder-Jofur"></a><!-- ws:end:WikiTextHeadingRule:8 -->Jofur</h3> | |||
Commas: 243/242, 441/440, 144/143<br /> | |||
<br /> | |||
Map: [&lt;1 1 1 2 2 4|, &lt;0 2 1 1 5 -1|, &lt;0 0 2 1 0 0|]<br /> | |||
EDOs: 10, 31, 41, 58<br /> | |||
Badness: 0.000749<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-Jove, aka Wonder-Jovis"></a><!-- ws:end:WikiTextHeadingRule:10 -->Jovis</h3> | |||
Commas: 243/242, 351/350, 441/440<br /> | |||
<br /> | |||
Map: [&lt;1 1 1 2 2 2|, &lt;0 2 1 1 5 -3|, &lt;0 0 2 1 0 5|]<br /> | |||
EDOs: 31, 58, 72, 103, 130, 233, 363<br /> | |||
Badness: 0.000542<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Freya"></a><!-- ws:end:WikiTextHeadingRule:12 -->Freya</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Freya"></a><!-- ws:end:WikiTextHeadingRule:12 -->Freya</h2> | ||
Revision as of 03:16, 28 February 2011
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 2011-02-28 03:16:39 UTC.
- The original revision id was 205578896.
- 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:
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, the [[optimal patent val]] 2749et will certainly do the trick. ===Vital statistics=== [[Comma]] c = 2401/2400 7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat [[Eigenmonzo|Eigenmonzos]]: 2, 6/5, 5/4 Lattice basis: 49/40 length 0.7858 8/7 length 1.1241 Angle(49/40, 8/7) = 107.367 degrees Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|] Map [<1 1 1 2|, <0 2 1 1|, <0 0 2 1|] [[Generator|Generators]]: 2, 49/40, 10/7 [[edo|EDOs]]: [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2749edo|2749]] Badness: 0.0000153 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. 11-limit [[Comma|Commas]]: 243/242, 441/440 [[Minimax tuning]] [|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>, |0 0 0 0 1>] [[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 Badness: 0.000241 ===Jovial=== [[Comma|Commas]]: 243/242, 441/440, 364/363 13-limit minimax [|1 0 0 0 0 0>, |17/11 -12/11 2/11 0 0 4/11>, |34/11 -46/11 15/11 0 0 8/11>, |35/11 -26/11 8/11 0 0 5/11>, |37/11 -30/11 5/11 0 0 10/11>, |34/11 -46/11 4/11 0 0 19/11>] [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 13/9 15-limit minimax [|1 0 0 0 0 0>, |2 -1/4 1/2 -3/4 0 1/4>, |7/2 -1/8 9/4 -19/8 0 1/8>, |7/2 -1/8 5/4 -11/8 0 1/8>, |9/2 -5/8 5/4 -15/8 0 5/8>, |11/2 -11/8 7/4 -25/8 0 11/8>] [[Eigenmonzo|Eigenmonzos]]: 2, 15/13, 7/5 Map: [<1 1 1 2 2 1|, <0 2 1 1 5 11|, <0 2 1 1 0 -1|] EDOs: 41, 58, 72, 130, 243 Badness: 0.000624 ====17-limit==== Commas: 243/242, 441/440, 364/363, 595/594 17-limit minimax [|1 0 0 0 0 0 0>, |3/7 -2 6/7 0 0 0 4/7>, |3/7 -3 13/7 0 0 0 4/7>, |11/7 -2 8/7 0 0 0 3/7>, |4/7 -5 15/7 0 0 0 10/7>, |-2 -10 4 0 0 0 3>, |6/7 -6 12/7 0 0 0 15/7>] [[Eigenmonzo|Eigenmonzos]]: 2, 18/17, 6/5 Map: [<1 1 1 2 2 1 3|, <0 2 1 1 5 11 9|, <0 0 2 1 0 -1 -3|] [[Generator|Generators]]: 2, 11/9, 10/7 [[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[435edo|435]], [[476edo|476]] Badness: 0.000741 ===Jofur=== Commas: 243/242, 441/440, 144/143 Map: [<1 1 1 2 2 4|, <0 2 1 1 5 -1|, <0 0 2 1 0 0|] EDOs: 10, 31, 41, 58 Badness: 0.000749 ===Jovis=== Commas: 243/242, 351/350, 441/440 Map: [<1 1 1 2 2 2|, <0 2 1 1 5 -3|, <0 0 2 1 0 5|] EDOs: 31, 58, 72, 103, 130, 233, 363 Badness: 0.000542 ==Freya== 11-limit [[Comma|Commas]]: 2401/2400, 3025/3024 11-limit minimax [|1 0 0 0 0>, |0 1 0 0 0>, |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>] [[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 4/3 Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -3 2|] EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566 Badness: 0.000170 ===13-limit=== Commas: 2401/2400, 3025/3024, 4096/4095 Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -2 3|] [[Generator|Generators]]: 2, 49/40, 55/42 [[edo|Edos]]: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 Badness: 0.000855 ==Baldur== [[Comma|Commas]]: 2401/2400, 9801/9800 11-limit minimax [|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, |0 0 1 0 0>, |23/16 0 5/8 1/8 -1/8>, |23/16 0 5/8 -7/8 7/8>] [[Eigenmonzo|Eigenmonzos]]: 5/4, 14/11 Map: [<2 0 1 3 7|, <0 2 1 1 -2|, <0 0 2 1 3|] [[Generator|Generators]]: 99/70, 343/198, 10/7 EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696 Badness: 0.000166 ===Greenland=== Commas: 676/675, 1001/1000, 1716/1715 Map: [<2 0 1 3 7 -1|, <0 2 1 1 -2 4|, <0 0 2 1 3 2|] [[edo|Edos]]: 58, 72, 130, 198, 270, 940 Badness: 0.000433 ==Agni== [[Comma|Commas]]: 385/384, 1375/1372 11-limit minimax [|1 0 0 0 0>, |0 1 0 0 0>, |23/10 3/10 2/5 0 -2/5>, |12/5 2/5 1/5 0 -1/5>, |23/10 3/10 -3/5 0 3/5>] [[Eigenmonzo|Eigenmonzos]]: 2, 4/3, 11/10 Lattice basis: 49/40 length 0.756, 10/7 length 0.819 Angle(49/40, 10/7) = 106.460 degrees Map to lattice: [<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|] [[Generator|Generators]]: 2, 49/40, 10/7 [[edo|Edos]]: 27, 31, 41, 68, 72, 140, 181, [[212edo|212]], [[284edo|284]] Badness: 0.000494 ===13-limit=== Commas: 385/384, 1375/1372, 625/624 Map: [<1 1 1 2 5 -1|, <0 2 1 1 0 2|, <0 0 2 1 -3 8|] EDOs: 31, 68, 72, 103, 140, 212 Badness: 0.000923 ==Vili== 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 Badness: 0.00126 ===13-limit=== 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 Badness: 0.000738 ==Zisa== 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 Badness: 0.000640 ===13-limit=== 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 Badness: 0.000830 ==Frigg== 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 Badness: 0.00179 ===13-limit=== 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 Badness: 0.000934 ==Ennealimmic== Commas: 2401/2400, 4375/4374 Map: [<9 1 1 12 0|, <0 2 3 2 0|, <0 0 0 0 1|] Generators: 27/25, 5/3, 11 EDOs: 27, 45, 72, 171, 198, 270, 342, 612, 1323, 1395, 1665, 2007, 2277, 2619 Badness: 0.000275 ===13-limit=== Commas: 2080/2079, 2401/2400, 4375/4374 Map: [<9 1 1 12 0 -31|, <0 2 3 2 0 5|, <0 0 0 0 1 1|] EDOs: 27, 72, 171, 198, 270, 639, 711, 981 Badness: 0.000755
Original HTML content:
<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, the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> 2749et will certainly do the trick.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h3> --><h3 id="toc0"><a name="x--Vital statistics"></a><!-- ws:end:WikiTextHeadingRule:0 -->Vital statistics</h3> <a class="wiki_link" href="/Comma">Comma</a> c = 2401/2400<br /> 7- and 9-limit minimax tuning: 3 and 5 just, 7 1/4c flat<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 6/5, 5/4<br /> Lattice basis: 49/40 length 0.7858 8/7 length 1.1241<br /> Angle(49/40, 8/7) = 107.367 degrees<br /> Map to lattice: [<0 2 -1 0|, <0 0 -2 -1|]<br /> Map [<1 1 1 2|, <0 2 1 1|, <0 0 2 1|]<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 /> Badness: 0.0000153<br /> <br /> Scales: <a class="wiki_link" href="/breed11">breed11</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><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 /> 11-limit<br /> <a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440<br /> <br /> <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> [|1 0 0 0 0>, |1/5 0 0 0 2/5>, <br /> |13/5 0 2 -2 1/5>, |13/5 0 1 -1 1/5>, <br /> |0 0 0 0 1>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5, 11/8<br /> <br /> Map: [<1 1 1 2 2|, <0 2 1 1 5|, <0 0 2 1 0|]<br /> EDOs: 31, 41, 58, 72, 130, 202<br /> Badness: 0.000241<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-Jove, aka Wonder-Jovial"></a><!-- ws:end:WikiTextHeadingRule:4 -->Jovial</h3> <a class="wiki_link" href="/Comma">Commas</a>: 243/242, 441/440, 364/363<br /> <br /> 13-limit minimax<br /> [|1 0 0 0 0 0>, |17/11 -12/11 2/11 0 0 4/11>, |34/11 -46/11 15/11 0 0 8/11>, <br /> |35/11 -26/11 8/11 0 0 5/11>, <br /> |37/11 -30/11 5/11 0 0 10/11>, <br /> |34/11 -46/11 4/11 0 0 19/11>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 13/9<br /> <br /> 15-limit minimax<br /> [|1 0 0 0 0 0>, |2 -1/4 1/2 -3/4 0 1/4>, <br /> |7/2 -1/8 9/4 -19/8 0 1/8>, <br /> |7/2 -1/8 5/4 -11/8 0 1/8>, <br /> |9/2 -5/8 5/4 -15/8 0 5/8>,<br /> |11/2 -11/8 7/4 -25/8 0 11/8>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 15/13, 7/5<br /> <br /> Map: [<1 1 1 2 2 1|, <0 2 1 1 5 11|, <0 2 1 1 0 -1|]<br /> EDOs: 41, 58, 72, 130, 243<br /> Badness: 0.000624<br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h4> --><h4 id="toc3"><a name="x-Jove, aka Wonder-Jovial-17-limit"></a><!-- ws:end:WikiTextHeadingRule:6 -->17-limit</h4> Commas: 243/242, 441/440, 364/363, 595/594<br /> <br /> 17-limit minimax<br /> [|1 0 0 0 0 0 0>, |3/7 -2 6/7 0 0 0 4/7>, <br /> |3/7 -3 13/7 0 0 0 4/7>, |11/7 -2 8/7 0 0 0 3/7>, <br /> |4/7 -5 15/7 0 0 0 10/7>, |-2 -10 4 0 0 0 3>, <br /> |6/7 -6 12/7 0 0 0 15/7>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 18/17, 6/5<br /> <br /> Map: [<1 1 1 2 2 1 3|, <0 2 1 1 5 11 9|, <0 0 2 1 0 -1 -3|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 11/9, 10/7<br /> <a class="wiki_link" href="/edo">Edos</a>: 41, 58, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/130edo">130</a>, <a class="wiki_link" href="/171edo">171</a>, <a class="wiki_link" href="/243edo">243</a>, <a class="wiki_link" href="/274edo">274</a>, <a class="wiki_link" href="/346edo">346</a>, <a class="wiki_link" href="/435edo">435</a>, <a class="wiki_link" href="/476edo">476</a><br /> Badness: 0.000741<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="x-Jove, aka Wonder-Jofur"></a><!-- ws:end:WikiTextHeadingRule:8 -->Jofur</h3> Commas: 243/242, 441/440, 144/143<br /> <br /> Map: [<1 1 1 2 2 4|, <0 2 1 1 5 -1|, <0 0 2 1 0 0|]<br /> EDOs: 10, 31, 41, 58<br /> Badness: 0.000749<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x-Jove, aka Wonder-Jovis"></a><!-- ws:end:WikiTextHeadingRule:10 -->Jovis</h3> Commas: 243/242, 351/350, 441/440<br /> <br /> Map: [<1 1 1 2 2 2|, <0 2 1 1 5 -3|, <0 0 2 1 0 5|]<br /> EDOs: 31, 58, 72, 103, 130, 233, 363<br /> Badness: 0.000542<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="x-Freya"></a><!-- ws:end:WikiTextHeadingRule:12 -->Freya</h2> 11-limit<br /> <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 3025/3024<br /> <br /> 11-limit minimax<br /> [|1 0 0 0 0>, |0 1 0 0 0>, <br /> |11/10 11/10 0 4/5 -4/5>, <br /> |9/5 4/5 0 2/5 -2/5>, |9/5 4/5 0 -3/5 3/5>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 4/3<br /> <br /> Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -3 2|]<br /> EDOs: 10, 31, 41, 72, 167, 198, 239, 270, 342, 612, 954, 1566<br /> Badness: 0.000170<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h3> --><h3 id="toc7"><a name="x-Freya-13-limit"></a><!-- ws:end:WikiTextHeadingRule:14 -->13-limit</h3> Commas: 2401/2400, 3025/3024, 4096/4095<br /> <br /> Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -2 3|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 55/42<br /> <a class="wiki_link" href="/edo">Edos</a>: 10, 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615<br /> Badness: 0.000855<br /> <br /> <!-- ws:start:WikiTextHeadingRule:16:<h2> --><h2 id="toc8"><a name="x-Baldur"></a><!-- ws:end:WikiTextHeadingRule:16 -->Baldur</h2> <a class="wiki_link" href="/Comma">Commas</a>: 2401/2400, 9801/9800<br /> <br /> 11-limit minimax<br /> [|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, <br /> |0 0 1 0 0>, |23/16 0 5/8 1/8 -1/8>, <br /> |23/16 0 5/8 -7/8 7/8>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 5/4, 14/11<br /> <br /> Map: [<2 0 1 3 7|, <0 2 1 1 -2|, <0 0 2 1 3|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 99/70, 343/198, 10/7<br /> EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696<br /> Badness: 0.000166<br /> <br /> <!-- ws:start:WikiTextHeadingRule:18:<h3> --><h3 id="toc9"><a name="x-Baldur-Greenland"></a><!-- ws:end:WikiTextHeadingRule:18 -->Greenland</h3> Commas: 676/675, 1001/1000, 1716/1715<br /> <br /> Map: [<2 0 1 3 7 -1|, <0 2 1 1 -2 4|, <0 0 2 1 3 2|]<br /> <a class="wiki_link" href="/edo">Edos</a>: 58, 72, 130, 198, 270, 940<br /> Badness: 0.000433<br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="x-Agni"></a><!-- ws:end:WikiTextHeadingRule:20 -->Agni</h2> <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 1375/1372<br /> <br /> 11-limit minimax<br /> [|1 0 0 0 0>, |0 1 0 0 0>, <br /> |23/10 3/10 2/5 0 -2/5>, <br /> |12/5 2/5 1/5 0 -1/5>, <br /> |23/10 3/10 -3/5 0 3/5>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 4/3, 11/10<br /> <br /> Lattice basis: 49/40 length 0.756, 10/7 length 0.819<br /> Angle(49/40, 10/7) = 106.460 degrees<br /> Map to lattice: [<0 2 1 1 0|, <0 0 2 1 -3|]<br /> <br /> Map: [<1 1 1 2 5|, <0 2 1 1 0|, <0 0 2 1 -3|]<br /> <a class="wiki_link" href="/Generator">Generators</a>: 2, 49/40, 10/7<br /> <a class="wiki_link" href="/edo">Edos</a>: 27, 31, 41, 68, 72, 140, 181, <a class="wiki_link" href="/212edo">212</a>, <a class="wiki_link" href="/284edo">284</a><br /> Badness: 0.000494<br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h3> --><h3 id="toc11"><a name="x-Agni-13-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->13-limit</h3> Commas: 385/384, 1375/1372, 625/624<br /> <br /> Map: [<1 1 1 2 5 -1|, <0 2 1 1 0 2|, <0 0 2 1 -3 8|]<br /> EDOs: 31, 68, 72, 103, 140, 212<br /> Badness: 0.000923<br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="x-Vili"></a><!-- ws:end:WikiTextHeadingRule:24 -->Vili</h2> Commas: 2401/2400, 391314/390625<br /> <br /> Map: [<1 1 5 4 10|, <0 2 3 2 6|, <0 0 -6 -3 -14|]<br /> EDOs: 37, 93, 103, 130, 233, 270, 643, 670, 913, 1043, 1313, 1583<br /> Badness: 0.00126<br /> <br /> <!-- ws:start:WikiTextHeadingRule:26:<h3> --><h3 id="toc13"><a name="x-Vili-13-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->13-limit</h3> Commas: 2401/2400, 10985/10976, 1001/1000<br /> <br /> Map: [<1 1 5 4 10 4|, <0 2 3 2 6 1|, <0 0 -6 -3 -14 -1|]<br /> EDOs: 37, 93, 103, 130, 233, 270, 643<br /> Badness: 0.000738<br /> <br /> <!-- ws:start:WikiTextHeadingRule:28:<h2> --><h2 id="toc14"><a name="x-Zisa"></a><!-- ws:end:WikiTextHeadingRule:28 -->Zisa</h2> Commas: 2401/2400, 5632/5625<br /> <br /> Map: [<1 1 1 2 -3|, <0 2 1 1 8|, <0 0 2 1 8|]<br /> EDOs: 21, 31, 109, 130, 239, 270, 670, 940, 1210<br /> Badness: 0.000640<br /> <br /> <!-- ws:start:WikiTextHeadingRule:30:<h3> --><h3 id="toc15"><a name="x-Zisa-13-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->13-limit</h3> Commas: 2401/2400, 5632/5625, 4096/4095<br /> <br /> Map: [<1 1 1 2 -3 7|, <0 2 1 1 8 -6|, <0 0 2 1 8 -3|]<br /> EDOs: 21, 31, 109, 130, 239, 270, 571, 701, 841, 971, 1241<br /> Badness: 0.000830<br /> <br /> <!-- ws:start:WikiTextHeadingRule:32:<h2> --><h2 id="toc16"><a name="x-Frigg"></a><!-- ws:end:WikiTextHeadingRule:32 -->Frigg</h2> Commas: 2401/2400, 644204/643125<br /> <br /> Map: [<1 1 3 3 4|, <0 2 3 2 4|, <0 0 -10 -5 -11|]<br /> EDOs: 51, 58, 103, 161, 212, 270, 643, 913<br /> Badness: 0.00179<br /> <br /> <!-- ws:start:WikiTextHeadingRule:34:<h3> --><h3 id="toc17"><a name="x-Frigg-13-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->13-limit</h3> Commas: 2401/2400, 10648/10647, 1001/1000<br /> <br /> Map: [<1 1 3 3 4 5|, <0 2 3 2 4 3|, <0 0 -10 -5 -11 -14|]<br /> EDOs: 58, 103, 161, 212, 270, 643, 1241, 1344<br /> Badness: 0.000934<br /> <br /> <!-- ws:start:WikiTextHeadingRule:36:<h2> --><h2 id="toc18"><a name="x-Ennealimmic"></a><!-- ws:end:WikiTextHeadingRule:36 -->Ennealimmic</h2> Commas: 2401/2400, 4375/4374<br /> <br /> Map: [<9 1 1 12 0|, <0 2 3 2 0|, <0 0 0 0 1|]<br /> Generators: 27/25, 5/3, 11<br /> EDOs: 27, 45, 72, 171, 198, 270, 342, 612, 1323, 1395, 1665, 2007, 2277, 2619<br /> Badness: 0.000275<br /> <br /> <!-- ws:start:WikiTextHeadingRule:38:<h3> --><h3 id="toc19"><a name="x-Ennealimmic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h3> Commas: 2080/2079, 2401/2400, 4375/4374<br /> <br /> Map: [<9 1 1 12 0 -31|, <0 2 3 2 0 5|, <0 0 0 0 1 1|]<br /> EDOs: 27, 72, 171, 198, 270, 639, 711, 981<br /> Badness: 0.000755</body></html>