Hemifamity family
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2010-09-23 16:01:44 UTC.
- The original revision id was 164978201.
- The revision comment was: links added, some of them should describe the terminology
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
===Vital statistics=== [[Comma]] c = 5120/5103 7-limit minimax: 3 and 7 1/7c sharp, 5 just [|1 0 0 0>, |10/7 1/7 1/7 -1/7>, |0 0 1 0>, |10/7 -6/7 1/7 6/7>] [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 7/6 9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp [|1 0 0 0>, |5/4 1/4 1/8 -1/8>, |0 0 1 0>, |5/2 -3/2 1/4 3/4>] [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 9/7 Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063 Angle(3/2, 10/9) = 82.112 degrees Map to lattice: [<0 1 2 -4|, <0 0 1 1|] [[edo|EDOs]]: [[99edo|99]], [[140edo|140]], [[239edo|239]], [[292edo|292]], [[490edo|490]], [[531edo|531]] ==11-limit children== ===Pele=== [[Comma|Commas]]: 441/440, 896/891 [[Minimax tuning]] [|1 0 0 0 0>, |17/10 0 1/10 0 -1/10>, |17/5 -2 6/5 0 -1/5>, |16/5 -2 3/5 0 2/5>, |17/5 -2 1/5 0 4/5>] [[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9 Map: [<1 0 0 10 17|, <0 1 0 -6 -10|, <0 0 1 1 1|] [[Generator|Generators]]: 2, 3, 5 [[edo|Edos]]: [[128edo|128]], [[145edo|145]], [[232edo|232]] ===Laka=== [[Comma|Commas]]: 5120/5103, 540/539 [[Minimax tuning]] [|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>, |2 0 3/7 -5/7 5/7>] [[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 14/11 13 limit [[Comma|Commas]]: 352/351, 540/539, 847/845 13 and 15 limit minimax tuning [|1 0 0 0 0 0>, |13/8 -1/2 1/8 0 0 1/8>, |13/4 -3 5/4 0 0 1/4>, |7/2 0 1/2 0 0 -1/2>, |25/8 -9/2 5/8 0 0 13/8>, |13/4 -3 1/4 0 0 5/4>] [[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13 17 limit [[Comma|Commas]]: 352/351, 540/539, 847/845, 442/441 17-limit minimax [|1 0 0 0 0 0 0>, |13/12 0 0 1/12 1/6 -1/12 0>, |-7/4 0 0 5/4 3/2 -5/4 0>, |7/4 0 0 3/4 1/2 -3/4 0>, |0 0 0 0 1 0 0>, |7/4 0 0 -1/4 1/2 1/4 0>, |35/12 0 0 23/12 5/6 -23/12 0>] [[Eigenmonzo|Eigenmonzos]]: 2, 11/8, 14/13 Map: [<1 0 0 10 -18 -13 32|, <0 1 0 -6 15 12 -22|, <0 0 1 1 -1 -1 3|] [[Generator|Generators]]: 2, 3, 5 [[edo|Edos]]: [[94edo|94]], [[111edo|111], [[152edo|152]], [[205edo|205]], [[345edo|345]] ===Akea=== [[Comma|Commas]]: 385/384, 2200/2187 [[Minimax tuning]] [|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>, |2 0 3/7 -5/7 5/7>] [[Eigenmonzo|Eigenmonzos]]: 2, 14/11, 7/5 Map: [<1 0 0 10 -3|, <0 1 0 -6 7|, <0 0 1 1 -2|] [[Generator|Generators]]: 2, 3, 5 [[edo|EDOs]]: [[94edo|94]], [[140edo|140]], [[181edo|181]], [[408edo|408]] ===Kapo=== [[Comma|Commas]]: 5120/5103, 3025/3024 [[Minimax tuning]] [|1 0 0 0 0>, |8/5 2/5 0 -1/15 -2/15>, |14/5 6/5 0 7/15 -16/15>, |16/5 -6/5 0 13/15 -4/15>, |16/5 -6/5 0 -2/15 11/15>] [[Eigenmonzo|Eigenmonzos]]: 2, 11/9, 9/7 Map: [<1 0 0 10 7|, <0 1 1 -5 -2|, <0 0 2 2 -1|] [[Generator|Generators]]: 2, 3, 128/99 [[edo|EDOs]]: [[152edo|152]], [[198edo|198]], [[239edo|239]], [[350edo|350]], [[391edo|391]], [[478edo|478]], [[589edo|589]]
Original HTML content:
<html><head><title>Hemifamity family</title></head><body><!-- 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 = 5120/5103<br /> <br /> 7-limit minimax: 3 and 7 1/7c sharp, 5 just<br /> [|1 0 0 0>, |10/7 1/7 1/7 -1/7>, <br /> |0 0 1 0>, |10/7 -6/7 1/7 6/7>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 7/6<br /> <br /> 9-limit minimax: 3 1/8c sharp, 5 just, 7 1/4c sharp<br /> [|1 0 0 0>, |5/4 1/4 1/8 -1/8>, <br /> |0 0 1 0>, |5/2 -3/2 1/4 3/4>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 9/7<br /> <br /> Lattice basis: 3/2 length 0.5670, 10/9 length 1.8063<br /> Angle(3/2, 10/9) = 82.112 degrees<br /> Map to lattice: [<0 1 2 -4|, <0 0 1 1|]<br /> <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/99edo">99</a>, <a class="wiki_link" href="/140edo">140</a>, <a class="wiki_link" href="/239edo">239</a>, <a class="wiki_link" href="/292edo">292</a>, <a class="wiki_link" href="/490edo">490</a>, <a class="wiki_link" href="/531edo">531</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-11-limit children"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x-11-limit children-Pele"></a><!-- ws:end:WikiTextHeadingRule:4 -->Pele</h3> <a class="wiki_link" href="/Comma">Commas</a>: 441/440, 896/891<br /> <br /> <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> [|1 0 0 0 0>, |17/10 0 1/10 0 -1/10>, <br /> |17/5 -2 6/5 0 -1/5>,<br /> |16/5 -2 3/5 0 2/5>, |17/5 -2 1/5 0 4/5>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/9<br /> <br /> Map: [<1 0 0 10 17|, <0 1 0 -6 -10|, <0 0 1 1 1|]<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="/128edo">128</a>, <a class="wiki_link" href="/145edo">145</a>, <a class="wiki_link" href="/232edo">232</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h3> --><h3 id="toc3"><a name="x-11-limit children-Laka"></a><!-- ws:end:WikiTextHeadingRule:6 -->Laka</h3> <a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 540/539<br /> <br /> <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> [|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, <br /> |0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, <br /> |2 0 3/7 -5/7 5/7>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 14/11<br /> <br /> 13 limit<br /> <a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845<br /> <br /> 13 and 15 limit minimax tuning<br /> [|1 0 0 0 0 0>, |13/8 -1/2 1/8 0 0 1/8>, <br /> |13/4 -3 5/4 0 0 1/4>, |7/2 0 1/2 0 0 -1/2>, <br /> |25/8 -9/2 5/8 0 0 13/8>, <br /> |13/4 -3 1/4 0 0 5/4>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br /> <br /> 17 limit<br /> <a class="wiki_link" href="/Comma">Commas</a>: 352/351, 540/539, 847/845, 442/441<br /> <br /> 17-limit minimax<br /> [|1 0 0 0 0 0 0>, <br /> |13/12 0 0 1/12 1/6 -1/12 0>, <br /> |-7/4 0 0 5/4 3/2 -5/4 0>, <br /> |7/4 0 0 3/4 1/2 -3/4 0>, <br /> |0 0 0 0 1 0 0>, <br /> |7/4 0 0 -1/4 1/2 1/4 0>, <br /> |35/12 0 0 23/12 5/6 -23/12 0>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/8, 14/13<br /> <br /> Map: [<1 0 0 10 -18 -13 32|, <br /> <0 1 0 -6 15 12 -22|, <0 0 1 1 -1 -1 3|]<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="/111edo">111], [[152edo|152</a>, <a class="wiki_link" href="/205edo">205</a>, <a class="wiki_link" href="/345edo">345</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h3> --><h3 id="toc4"><a name="x-11-limit children-Akea"></a><!-- ws:end:WikiTextHeadingRule:8 -->Akea</h3> <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 2200/2187<br /> <br /> <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> [|1 0 0 0 0>, |4/3 0 2/21 -1/21 1/21>, <br /> |0 0 1 0 0>, |2 0 3/7 2/7 -2/7>, <br /> |2 0 3/7 -5/7 5/7>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 14/11, 7/5<br /> <br /> Map: [<1 0 0 10 -3|, <0 1 0 -6 7|, <0 0 1 1 -2|]<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 /> <!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x-11-limit children-Kapo"></a><!-- ws:end:WikiTextHeadingRule:10 -->Kapo</h3> <a class="wiki_link" href="/Comma">Commas</a>: 5120/5103, 3025/3024<br /> <br /> <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a><br /> [|1 0 0 0 0>, |8/5 2/5 0 -1/15 -2/15>, <br /> |14/5 6/5 0 7/15 -16/15>, <br /> |16/5 -6/5 0 13/15 -4/15>, <br /> |16/5 -6/5 0 -2/15 11/15>]<br /> <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9, 9/7<br /> <br /> Map: [<1 0 0 10 7|, <0 1 1 -5 -2|, <0 0 2 2 -1|]<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>