Ragismic family: Difference between revisions

Revision as of 02:12, 18 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 2011-02-18 02:12:31 UTC.

The original revision id was 203005448.

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

==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&gt;, |-1/7 0 4/7 1/7&gt;, |0 0 1 0&gt;, |0 0 0 1&gt;]<br />
Eigenmonzos: 2, 8/7, 5/4<br />
<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 />
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 />
Map: [&lt;1 0 0 1|, &lt;0 1 0 7|, &lt;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:&lt;h2&gt; --><h2 id="toc0"><a name="x-11 limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->11 limit children</h2>
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Thor"></a><!-- ws:end:WikiTextHeadingRule:2 -->Thor</h2>
Commas: 4375/4374, 3025/3024<br />
<br />
Minimax tuning<br />
[|1 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2&gt;, <br />
|25/16 0 7/8 5/8 -7/8&gt;, |0 0 0 1 0&gt;, <br />
|25/16 0 -1/8 5/8 1/8&gt;]<br />
Eigenmonzos: 2, 11/10, 8/7<br />
<br />
Map: [&lt;2 0 0 2 5|, &lt;0 1 0 7 5|, &lt;0 0 1 -4 -3|]<br />
Generators: 99/70, 3, 5<br />
<br />
13-limit<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Thor-Donar"></a><!-- ws:end:WikiTextHeadingRule:4 -->Donar</h3>
Commas: 4375/4374, 3025/3024, 4225/4224<br />
<br />
13-limit<br />
||1 0 0 0 0 0&gt;, |3/4 0 1/2 1/2 -1/2 0&gt;, <br />
|25/16 0 7/8 5/8 -7/8 0&gt;, |0 0 0 1 0 0&gt;, <br />
|25/16 0 -1/8 5/8 1/8 0&gt;, <br />
|99/32 0 -11/16 -1/16 11/16 0&gt;]<br />
Eigenmonzos: 2, 11/10, 8/7<br />
<br />
15-limit minimax<br />
[|1 0 0 0 0 0&gt;, |1/2 1/3 1/3 1/3 -1/3 0&gt;, <br />
|9/8 7/12 7/12 1/3 -7/12 0&gt;, |0 0 0 1 0 0&gt;, <br />
|13/8 -1/12 -1/12 2/3 1/12 0&gt;, <br />
|55/16 -11/24 -11/24 1/6 11/24 0&gt;]<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: [&lt;0 2 2 6 4 1|, &lt;0 -1 -2 1 1 2|]<br />
<br />
Map: [&lt;2 0 1 -2 2 7|, &lt;0 1 0 7 5 3|, &lt;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:&lt;h3&gt; --><h3 id="toc3"><a name="x-Thor-Thunor"></a><!-- ws:end:WikiTextHeadingRule:6 -->Thunor</h3>
Commas: 4375/4374, 3025/3024, 1716/1715<br />
<br />
13 and 15 limit minimax<br />
[|1 0 0 0 0 0&gt;, |7/10 4/5 0 -2/5 0 1/5&gt;, <br />
|9/8 3/2 0 -3/4 0 1/4&gt;, |7/5 -2/5 0 1/5 0 2/5&gt;, |21/8 -1/2 0 1/4 0 1/4&gt;, |0 0 0 0 0 1&gt;]<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: [&lt;0 -1 -2 -3 -2 -7|, &lt;0 -1 -2 1 1 1|]  <br />
<br />
Map: [&lt;2 0 0 2 5 -3|, &lt;0 1 0 7 5 15|, &lt;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:&lt;h3&gt; --><h3 id="toc4"><a name="x-Thor-Rym"></a><!-- ws:end:WikiTextHeadingRule:8 -->Rym</h3>
Commas: 4375/4374, 3025/3024, 4096/4095<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Vidar"></a><!-- ws:end:WikiTextHeadingRule:10 -->Vidar</h2>
Commas: 4375/4374, 100663296/100656875<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="x-Bragi"></a><!-- ws:end:WikiTextHeadingRule:12 -->Bragi</h2>
Commas: 4375/4374, 2097152/2096325</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2010-10-23 01:44:19 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-18 02:12:31 UTC</tt>.<br>
-: The original revision id was <tt>172943485</tt>.<br>
+: The original revision id was <tt>203005448</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>
@@ Line 29: / Line 29: @@
 ==11 limit children==
-===Thor===
+==Thor==
 Commas: 4375/4374, 3025/3024
@@ Line 43: / Line 43: @@
 -limit
-====Donar====
+===Donar===
 Commas: 4375/4374, 3025/3024, 4225/4224
@@ Line 69: / Line 69: @@
 Scales: [[donar46]]
-====Thunor====
+===Thunor===
 Commas: 4375/4374, 3025/3024, 1716/1715
@@ Line 85: / Line 85: @@
 Edos: 26, 46, 72, 178, 224, 270, 494
-====Rym====
+===Rym===
 Commas: 4375/4374, 3025/3024, 4096/4095
-===Tyr===
+==Vidar==
-Commas: 4375/4374, 131072/130977
-===Vidar===
 Commas: 4375/4374, 100663296/100656875
-===Bragi===
+==Bragi==
 Commas: 4375/4374, 2097152/2096325</pre></div>
 <h4>Original HTML content:</h4>
@@ Line 120: / Line 117: @@
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-11 limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;11 limit children&lt;/h2&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x-11 limit children-Thor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Thor&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Thor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Thor&lt;/h2&gt;
 Commas: 4375/4374, 3025/3024&lt;br /&gt;
 &lt;br /&gt;
@@ Line 134: / Line 131: @@
 -limit&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc2"&gt;&lt;a name="x-11 limit children-Thor-Donar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Donar&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Thor-Donar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Donar&lt;/h3&gt;
 Commas: 4375/4374, 3025/3024, 4225/4224&lt;br /&gt;
 &lt;br /&gt;
@@ Line 160: / Line 157: @@
 Scales: &lt;a class="wiki_link" href="/donar46"&gt;donar46&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc3"&gt;&lt;a name="x-11 limit children-Thor-Thunor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Thunor&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Thor-Thunor"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Thunor&lt;/h3&gt;
 Commas: 4375/4374, 3025/3024, 1716/1715&lt;br /&gt;
 &lt;br /&gt;
@@ Line 176: / Line 173: @@
 Edos: 26, 46, 72, 178, 224, 270, 494&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc4"&gt;&lt;a name="x-11 limit children-Thor-Rym"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Rym&lt;/h4&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Thor-Rym"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Rym&lt;/h3&gt;
 Commas: 4375/4374, 3025/3024, 4096/4095&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-11 limit children-Tyr"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Tyr&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Vidar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Vidar&lt;/h2&gt;
-Commas: 4375/4374, 131072/130977&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-11 limit children-Vidar"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Vidar&lt;/h3&gt;
 Commas: 4375/4374, 100663296/100656875&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-11 limit children-Bragi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Bragi&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Bragi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Bragi&lt;/h2&gt;
 Commas: 4375/4374, 2097152/2096325&lt;/body&gt;&lt;/html&gt;</pre></div>

Ragismic family: Difference between revisions

Revision as of 02:12, 18 February 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

Navigation menu

Search