Ragismic family: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>genewardsmith **Imported revision 169075249 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 172943485 - Original comment: ** |
||
| 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:genewardsmith|genewardsmith]] and made on <tt>2010-10- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-10-23 01:44:19 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>172943485</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> | ||
| Line 8: | Line 8: | ||
<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;white-space: pre-wrap ! important" class="old-revision-html">Comma: 4375/4374 | <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;white-space: pre-wrap ! important" class="old-revision-html">Comma: 4375/4374 | ||
7-limit | 7-limit | ||
[|1 0 0 0>, |-1/7 0 4/7 1/7>, | [|1 0 0 0>, |-1/7 0 4/7 1/7>, |0 0 1 0>, |0 0 0 1>] | ||
|0 0 1 0>, |0 0 0 1>] | Eigenmonzos: 2, 8/7, 5/4 | ||
Eigenmonzos: 2, 5 | |||
9-limit | 9-limit | ||
[|1 0 0 0>, |0 1 0 0>, |1/5 7/5 1/5 -1/5>, | |||
|1/5 7/5 1/5 -1/5>, |1/5 7/5 -4/5 4/5>] | |1/5 7/5 -4/5 4/5>] | ||
Eigenmonzos: 2, 3, 7/5 | Eigenmonzos: 2, 4/3, 7/5 | ||
Lattice basis: 10/9 length=0.789 6/5 length=0.921 | |||
Angle(10/9, 6/5) = 105.299 | |||
Map to lattice: [<0 -1 -1 -3|, <0 -1 -2 1|] | |||
Map: [<1 0 0 1|, <0 1 0 7|, <0 0 1 -4|] | Map: [<1 0 0 1|, <0 1 0 7|, <0 0 1 -4|] | ||
Generators: 2, 3, 5 | Generators: 2, 3, 5 | ||
Edos: | Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 | ||
Scales: [[ragismic19]] | |||
==11 limit children== | ==11 limit children== | ||
| Line 94: | Line 99: | ||
<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>Ragisma family</title></head><body>Comma: 4375/4374<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>Ragisma family</title></head><body>Comma: 4375/4374<br /> | ||
<br /> | <br /> | ||
7-limit | 7-limit<br /> | ||
[|1 0 0 0&gt;, |-1/7 0 4/7 1/7&gt;, <br /> | [|1 0 0 0&gt;, |-1/7 0 4/7 1/7&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br /> | ||
|0 0 | Eigenmonzos: 2, 8/7, 5/4<br /> | ||
Eigenmonzos: 2, | <br /> | ||
9-limit<br /> | |||
[|1 0 0 0&gt;, |0 1 0 0&gt;, |1/5 7/5 1/5 -1/5&gt;, <br /> | |||
|1/5 7/5 -4/5 4/5&gt;]<br /> | |||
Eigenmonzos: 2, 4/3, 7/5<br /> | |||
<br /> | <br /> | ||
9 | Lattice basis: 10/9 length=0.789 6/5 length=0.921<br /> | ||
Angle(10/9, 6/5) = 105.299<br /> | |||
Map to lattice: [&lt;0 -1 -1 -3|, &lt;0 -1 -2 1|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;0 0 1 -4|]<br /> | Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;0 0 1 -4|]<br /> | ||
Generators: 2, 3, 5<br /> | Generators: 2, 3, 5<br /> | ||
Edos: | Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 <br /> | ||
<br /> | |||
Scales: <a class="wiki_link" href="/ragismic19">ragismic19</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> | ||
Revision as of 01:44, 23 October 2010
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 2010-10-23 01:44:19 UTC.
- The original revision id was 172943485.
- 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:
Comma: 4375/4374 7-limit [|1 0 0 0>, |-1/7 0 4/7 1/7>, |0 0 1 0>, |0 0 0 1>] Eigenmonzos: 2, 8/7, 5/4 9-limit [|1 0 0 0>, |0 1 0 0>, |1/5 7/5 1/5 -1/5>, |1/5 7/5 -4/5 4/5>] Eigenmonzos: 2, 4/3, 7/5 Lattice basis: 10/9 length=0.789 6/5 length=0.921 Angle(10/9, 6/5) = 105.299 Map to lattice: [<0 -1 -1 -3|, <0 -1 -2 1|] Map: [<1 0 0 1|, <0 1 0 7|, <0 0 1 -4|] Generators: 2, 3, 5 Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 Scales: [[ragismic19]] ==11 limit children== ===Thor=== Commas: 4375/4374, 3025/3024 Minimax tuning [|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, |25/16 0 7/8 5/8 -7/8>, |0 0 0 1 0>, |25/16 0 -1/8 5/8 1/8>] Eigenmonzos: 2, 11/10, 8/7 Map: [<2 0 0 2 5|, <0 1 0 7 5|, <0 0 1 -4 -3|] Generators: 99/70, 3, 5 13-limit ====Donar==== Commas: 4375/4374, 3025/3024, 4225/4224 13-limit ||1 0 0 0 0 0>, |3/4 0 1/2 1/2 -1/2 0>, |25/16 0 7/8 5/8 -7/8 0>, |0 0 0 1 0 0>, |25/16 0 -1/8 5/8 1/8 0>, |99/32 0 -11/16 -1/16 11/16 0>] Eigenmonzos: 2, 11/10, 8/7 15-limit minimax [|1 0 0 0 0 0>, |1/2 1/3 1/3 1/3 -1/3 0>, |9/8 7/12 7/12 1/3 -7/12 0>, |0 0 0 1 0 0>, |13/8 -1/12 -1/12 2/3 1/12 0>, |55/16 -11/24 -11/24 1/6 11/24 0>] Eigenmonzos: 2, 8/7, 15/11 Lattice basis: 44/39 length = 0.3480 6/5 length = 0.7828 Angle(44/39, 6/5) = 85.3977 Map to lattice: [<0 2 2 6 4 1|, <0 -1 -2 1 1 2|] Map: [<2 0 1 -2 2 7|, <0 1 0 7 5 3|, <0 0 2 -8 -6 -5|] Generators: 99/70, 3, 220/117 Edos: 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390 Scales: [[donar46]] ====Thunor==== Commas: 4375/4374, 3025/3024, 1716/1715 13 and 15 limit minimax [|1 0 0 0 0 0>, |7/10 4/5 0 -2/5 0 1/5>, |9/8 3/2 0 -3/4 0 1/4>, |7/5 -2/5 0 1/5 0 2/5>, |21/8 -1/2 0 1/4 0 1/4>, |0 0 0 0 0 1>] Eigenmonzos: 2, 16/13, 9/7 Lattice basis: 10/9 length 0.4234 6/5 length 0.8426 Angle(10/9, 6/5) = 84.126 degrees Map to lattice: [<0 -1 -2 -3 -2 -7|, <0 -1 -2 1 1 1|] Map: [<2 0 0 2 5 -3|, <0 1 0 7 5 15|, <0 0 1 -4 -3 -8|] Generators: 99/70, 3, 5 Edos: 26, 46, 72, 178, 224, 270, 494 ====Rym==== Commas: 4375/4374, 3025/3024, 4096/4095 ===Tyr=== Commas: 4375/4374, 131072/130977 ===Vidar=== Commas: 4375/4374, 100663296/100656875 ===Bragi=== Commas: 4375/4374, 2097152/2096325
Original HTML content:
<html><head><title>Ragisma family</title></head><body>Comma: 4375/4374<br /> <br /> 7-limit<br /> [|1 0 0 0>, |-1/7 0 4/7 1/7>, |0 0 1 0>, |0 0 0 1>]<br /> Eigenmonzos: 2, 8/7, 5/4<br /> <br /> 9-limit<br /> [|1 0 0 0>, |0 1 0 0>, |1/5 7/5 1/5 -1/5>, <br /> |1/5 7/5 -4/5 4/5>]<br /> Eigenmonzos: 2, 4/3, 7/5<br /> <br /> Lattice basis: 10/9 length=0.789 6/5 length=0.921<br /> Angle(10/9, 6/5) = 105.299<br /> Map to lattice: [<0 -1 -1 -3|, <0 -1 -2 1|]<br /> <br /> Map: [<1 0 0 1|, <0 1 0 7|, <0 0 1 -4|]<br /> Generators: 2, 3, 5<br /> Edos: 9, 19, 26, 27, 45, 46, 53, 72, 80, 91, 99, 171, 270, 441, 494, 612, 665, 935, 1106, 1277, 1376, 1718, 1889, 6279 <br /> <br /> Scales: <a class="wiki_link" href="/ragismic19">ragismic19</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2> <br /> <!-- ws:start:WikiTextHeadingRule:2:<h3> --><h3 id="toc1"><a name="x-11 limit children-Thor"></a><!-- ws:end:WikiTextHeadingRule:2 -->Thor</h3> Commas: 4375/4374, 3025/3024<br /> <br /> Minimax tuning<br /> [|1 0 0 0 0>, |3/4 0 1/2 1/2 -1/2>, <br /> |25/16 0 7/8 5/8 -7/8>, |0 0 0 1 0>, <br /> |25/16 0 -1/8 5/8 1/8>]<br /> Eigenmonzos: 2, 11/10, 8/7<br /> <br /> Map: [<2 0 0 2 5|, <0 1 0 7 5|, <0 0 1 -4 -3|]<br /> Generators: 99/70, 3, 5<br /> <br /> 13-limit<br /> <br /> <!-- ws:start:WikiTextHeadingRule:4:<h4> --><h4 id="toc2"><a name="x-11 limit children-Thor-Donar"></a><!-- ws:end:WikiTextHeadingRule:4 -->Donar</h4> Commas: 4375/4374, 3025/3024, 4225/4224<br /> <br /> 13-limit<br /> ||1 0 0 0 0 0>, |3/4 0 1/2 1/2 -1/2 0>, <br /> |25/16 0 7/8 5/8 -7/8 0>, |0 0 0 1 0 0>, <br /> |25/16 0 -1/8 5/8 1/8 0>, <br /> |99/32 0 -11/16 -1/16 11/16 0>]<br /> Eigenmonzos: 2, 11/10, 8/7<br /> <br /> 15-limit minimax<br /> [|1 0 0 0 0 0>, |1/2 1/3 1/3 1/3 -1/3 0>, <br /> |9/8 7/12 7/12 1/3 -7/12 0>, |0 0 0 1 0 0>, <br /> |13/8 -1/12 -1/12 2/3 1/12 0>, <br /> |55/16 -11/24 -11/24 1/6 11/24 0>]<br /> Eigenmonzos: 2, 8/7, 15/11<br /> <br /> Lattice basis: 44/39 length = 0.3480 6/5 length = 0.7828<br /> Angle(44/39, 6/5) = 85.3977<br /> Map to lattice: [<0 2 2 6 4 1|, <0 -1 -2 1 1 2|]<br /> <br /> Map: [<2 0 1 -2 2 7|, <0 1 0 7 5 3|, <0 0 2 -8 -6 -5|]<br /> Generators: 99/70, 3, 220/117<br /> Edos: 46, 80, 92, 126, 144, 178, 190, 224, 494, 684, 954, 1178, 1942, 3120, 3390<br /> Scales: <a class="wiki_link" href="/donar46">donar46</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:6:<h4> --><h4 id="toc3"><a name="x-11 limit children-Thor-Thunor"></a><!-- ws:end:WikiTextHeadingRule:6 -->Thunor</h4> Commas: 4375/4374, 3025/3024, 1716/1715<br /> <br /> 13 and 15 limit minimax<br /> [|1 0 0 0 0 0>, |7/10 4/5 0 -2/5 0 1/5>, <br /> |9/8 3/2 0 -3/4 0 1/4>, |7/5 -2/5 0 1/5 0 2/5>, |21/8 -1/2 0 1/4 0 1/4>, |0 0 0 0 0 1>]<br /> Eigenmonzos: 2, 16/13, 9/7<br /> <br /> Lattice basis: 10/9 length 0.4234 6/5 length 0.8426<br /> Angle(10/9, 6/5) = 84.126 degrees<br /> Map to lattice: [<0 -1 -2 -3 -2 -7|, <0 -1 -2 1 1 1|] <br /> <br /> Map: [<2 0 0 2 5 -3|, <0 1 0 7 5 15|, <0 0 1 -4 -3 -8|]<br /> Generators: 99/70, 3, 5<br /> Edos: 26, 46, 72, 178, 224, 270, 494<br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h4> --><h4 id="toc4"><a name="x-11 limit children-Thor-Rym"></a><!-- ws:end:WikiTextHeadingRule:8 -->Rym</h4> Commas: 4375/4374, 3025/3024, 4096/4095<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h3> --><h3 id="toc5"><a name="x-11 limit children-Tyr"></a><!-- ws:end:WikiTextHeadingRule:10 -->Tyr</h3> Commas: 4375/4374, 131072/130977<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h3> --><h3 id="toc6"><a name="x-11 limit children-Vidar"></a><!-- ws:end:WikiTextHeadingRule:12 -->Vidar</h3> Commas: 4375/4374, 100663296/100656875<br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h3> --><h3 id="toc7"><a name="x-11 limit children-Bragi"></a><!-- ws:end:WikiTextHeadingRule:14 -->Bragi</h3> Commas: 4375/4374, 2097152/2096325</body></html>