Breed family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 247575895 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277297938 - 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- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-19 21:47:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277297938</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 [<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|] | ||
[[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]]: [[31edo|31]], [[41edo|41]], [[58edo|58]], [[68edo|68]], [[72edo|72]], [[171edo|171]], [[441edo|441]], [[612edo|612]], [[2308edo|2308]], [[2578edo|2578]], [[2749edo|2749]], [[3361edo|3361d]] | ||
Badness: 0.0000153 | Badness: 0.0000153 | ||
| Line 39: | Line 39: | ||
Map: [<1 1 1 2 2|, <0 2 1 1 5|, <0 0 2 1 0|] | 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, 161, 171, 202 | ||
Badness: 0.000241 | Badness: 0.000241 | ||
| Line 63: | Line 63: | ||
Map: [<1 1 1 2 2 1|, <0 2 1 1 5 11|, <0 2 1 1 0 -1|] | 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 | EDOs: 41, 58, 72, 89, 113, 130, 243, 301e, 373e, 503e, 674e | ||
Badness: 0.000624 | Badness: 0.000624 | ||
| Line 78: | Line 78: | ||
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|] | ||
[[Generator|Generators]]: 2, 11/9, 10/7 | [[Generator|Generators]]: 2, 11/9, 10/7 | ||
[[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[ | [[edo|Edos]]: 41, 58, [[72edo|72]], [[130edo|130]], [[171edo|171]], [[243edo|243]], [[274edo|274]], [[346edo|346]], [[373edo|373eg]], [[414edo|414e]], [[544edo|540eg]], [[787edo|787eg]] | ||
Badness: 0.000741 | Badness: 0.000741 | ||
| Line 85: | Line 85: | ||
Map: [<1 1 1 2 2 4|, <0 2 1 1 5 -1|, <0 0 2 1 0 0|] | Map: [<1 1 1 2 2 4|, <0 2 1 1 5 -1|, <0 0 2 1 0 0|] | ||
EDOs: | EDOs: 31, 41, 58, 89f, 99ef, 157ef | ||
Badness: 0.000749 | Badness: 0.000749 | ||
| Line 92: | Line 92: | ||
Map: [<1 1 1 2 2 2|, <0 2 1 1 5 -3|, <0 0 2 1 0 5|] | 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 | EDOs: 31, 58, 72, 103, 130, 233, 363, 798bf, 928bef | ||
Badness: 0.000542 | Badness: 0.000542 | ||
| Line 106: | Line 106: | ||
Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -3 2|] | Map: [<1 1 3 3 2|, <0 2 3 2 1|, <0 0 -4 -3 2|] | ||
EDOs: | EDOs: 31, 41, 72, 167, 188, 198, 229, 239, 270, 342, 612, 954, 1566, 3443de, 4055de, 4397cde | ||
Badness: 0.000170 | Badness: 0.000170 | ||
| Line 116: | Line 116: | ||
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|] | ||
[[Generator|Generators]]: 2, 49/40, 55/42 | [[Generator|Generators]]: 2, 49/40, 55/42 | ||
[[edo|Edos]]: | [[edo|Edos]]: 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615 | ||
Badness: 0.000855 | Badness: 0.000855 | ||
| Line 132: | Line 132: | ||
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|] | ||
[[Generator|Generators]]: 99/70, 343/198, 10/7 | [[Generator|Generators]]: 99/70, 343/198, 10/7 | ||
EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696 | EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de | ||
Badness: 0.000166 | Badness: 0.000166 | ||
| Line 141: | Line 141: | ||
Map: [<2 0 1 3 7 -1|, <0 2 1 1 -2 4|, <0 0 2 1 3 2|] | 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 | [[edo|Edos]]: 58, 72, 130, 198, 270, 940, 1210f, 1480cf, 1750cf | ||
Badness: 0.000433 | Badness: 0.000433 | ||
[[Spectrum of a temperament|Spectrum]]: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9 | [[Spectrum of a temperament|Spectrum]]: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9 | ||
| Line 243: | Line 243: | ||
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 /> | ||
<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="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/58edo">58</a>, <a class="wiki_link" href="/68edo">68</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/171edo">171</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="/2578edo">2578</a>, <a class="wiki_link" href="/2749edo">2749</a>, <a class="wiki_link" href="/3361edo">3361d</a><br /> | ||
Badness: 0.0000153<br /> | Badness: 0.0000153<br /> | ||
<br /> | <br /> | ||
| Line 263: | Line 263: | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 2|, &lt;0 2 1 1 5|, &lt;0 0 2 1 0|]<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, 161, 171, 202<br /> | ||
Badness: 0.000241<br /> | Badness: 0.000241<br /> | ||
<br /> | <br /> | ||
| Line 287: | Line 287: | ||
<br /> | <br /> | ||
Map: [&lt;1 1 1 2 2 1|, &lt;0 2 1 1 5 11|, &lt;0 2 1 1 0 -1|]<br /> | Map: [&lt;1 1 1 2 2 1|, &lt;0 2 1 1 5 11|, &lt;0 2 1 1 0 -1|]<br /> | ||
EDOs: 41, 58, 72, 130, 243<br /> | EDOs: 41, 58, 72, 89, 113, 130, 243, 301e, 373e, 503e, 674e<br /> | ||
Badness: 0.000624<br /> | Badness: 0.000624<br /> | ||
<br /> | <br /> | ||
| Line 302: | Line 302: | ||
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 /> | ||
<a class="wiki_link" href="/Generator">Generators</a>: 2, 11/9, 10/7<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="/ | <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="/373edo">373eg</a>, <a class="wiki_link" href="/414edo">414e</a>, <a class="wiki_link" href="/544edo">540eg</a>, <a class="wiki_link" href="/787edo">787eg</a><br /> | ||
Badness: 0.000741<br /> | Badness: 0.000741<br /> | ||
<br /> | <br /> | ||
| Line 309: | Line 309: | ||
<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 /> | Map: [&lt;1 1 1 2 2 4|, &lt;0 2 1 1 5 -1|, &lt;0 0 2 1 0 0|]<br /> | ||
EDOs: | EDOs: 31, 41, 58, 89f, 99ef, 157ef<br /> | ||
Badness: 0.000749<br /> | Badness: 0.000749<br /> | ||
<br /> | <br /> | ||
| Line 316: | Line 316: | ||
<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 /> | 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 /> | EDOs: 31, 58, 72, 103, 130, 233, 363, 798bf, 928bef<br /> | ||
Badness: 0.000542<br /> | Badness: 0.000542<br /> | ||
<br /> | <br /> | ||
| Line 330: | Line 330: | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -3 2|]<br /> | Map: [&lt;1 1 3 3 2|, &lt;0 2 3 2 1|, &lt;0 0 -4 -3 2|]<br /> | ||
EDOs: | EDOs: 31, 41, 72, 167, 188, 198, 229, 239, 270, 342, 612, 954, 1566, 3443de, 4055de, 4397cde<br /> | ||
Badness: 0.000170<br /> | Badness: 0.000170<br /> | ||
<br /> | <br /> | ||
| Line 340: | Line 340: | ||
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 /> | ||
<a class="wiki_link" href="/Generator">Generators</a>: 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="/edo">Edos</a>: 31, 41, 229, 239, 270, 571, 581, 851, 882, 1152, 1463, 1733, 2615<br /> | ||
Badness: 0.000855<br /> | Badness: 0.000855<br /> | ||
<br /> | <br /> | ||
| Line 356: | Line 356: | ||
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 /> | ||
<a class="wiki_link" href="/Generator">Generators</a>: 99/70, 343/198, 10/7<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 /> | EDOs: 58, 72, 130, 198, 212, 270, 342, 612, 954, 1084, 1354, 1696, 4004de, 5700de<br /> | ||
Badness: 0.000166<br /> | Badness: 0.000166<br /> | ||
<br /> | <br /> | ||
| Line 365: | Line 365: | ||
<br /> | <br /> | ||
Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]<br /> | Map: [&lt;2 0 1 3 7 -1|, &lt;0 2 1 1 -2 4|, &lt;0 0 2 1 3 2|]<br /> | ||
<a class="wiki_link" href="/edo">Edos</a>: 58, 72, 130, 198, 270, 940<br /> | <a class="wiki_link" href="/edo">Edos</a>: 58, 72, 130, 198, 270, 940, 1210f, 1480cf, 1750cf<br /> | ||
Badness: 0.000433<br /> | Badness: 0.000433<br /> | ||
<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9<br /> | <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9<br /> | ||