Marvel family: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>2010-09-27 01:32:00 UTC</tt>.

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-27 16:43:15 UTC</tt>.

: The original revision id was <tt>~~165604173~~</tt>.

: The original revision id was <tt>165808391</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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===Vital statistics===

Comma c = 225/224

[[Comma]] c = 225/224

7-limit minmax: 3 and 5 1/4c flat, 7 just

[|1 0 0 0>, |5/4 1/2 -1/2 1/4>, |5/4 -1/2 1/2 1/4>, |0 0 0 1>]

Eigenmonzos: 2, 5/4, 6/5

[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 6/5

9-limit minimx: 3 1/6c flat, 5 1/3c flat, 7 just

[|1 0 0 0>, |5/6 2/3 -1/3 1/6>, |5/3 -2/3 1/3 1/3>, |0 0 0 1>]

Eigenmonzos: 2, 8/7, 10/9

[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 10/9

Minkowski lattice basis: secor length 1.256, 3/2 length 1.369

Angle(secor, 3/2) = 106.958 cents

Map to lattice: [<0 0 -1 -2|, <0 1 -1 0|]

EDOs 197

[[edo|EDOs]]: [[197edo|197]]

==Eleven limit children==

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===Unidecimal marvel===

Commas: 225/224, 385/384

[[Comma|Commas]]: 225/224, 385/384

Minimax:

[|1 0 0 0 0>, |4/3 8/9 -1/3 0 -1/9>, |8/3 -2/9 1/3 0 -2/9>,

|3 4/3 0 0 -2/3>, |8/3 -2/9 -2/3 0 7/9>]

Eigenmonzos: 2, 10/9, 11/9

[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9

Lattice basis: secor length 1.0364 5/4 length 1.0759

Line 42:

Map: [[<1 0 0 -5 12|, <0 1 0 2 -1|, <0 0 1 2 -3|]

Generators: 2, 3, 5

[[Generator|Generators]]: 2, 3, 5

Edos: 19, 22, 31, 41, 50, 53, 72, 166, 197

[[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]], [[50edo|50]], [[53edo|53]], [[72edo|72]], [[166edo|166]], [[197edo|197]]

===Prodigy===

Commas: 225/224, 441/440

[[Comma|Commas]]: 225/224, 441/440

Minimax:

[|1 0 0 0 0>, |13/12 1/2 -1/4 0 1/12>,

|13/6 -1 1/2 0 1/6>,

|3/2 -1 1/2 0 1/2>, |0 0 0 0 1>]

Eigenmonzos: 2, 10/9, 11/8

[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/8

Lattice basis: secor length 0.9111, 3/2 length 0.9477

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<h3 id="toc0"><a name="x--Vital statistics"></a>Vital statistics</h3>

Comma c = 225/224

<a class="wiki_link" href="/Comma">Comma</a> c = 225/224

7-limit minmax: 3 and 5 1/4c flat, 7 just

[|1 0 0 0&gt;, |5/4 1/2 -1/2 1/4&gt;, |5/4 -1/2 1/2 1/4&gt;, |0 0 0 1&gt;]

Eigenmonzos: 2, 5/4, 6/5

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4, 6/5

9-limit minimx: 3 1/6c flat, 5 1/3c flat, 7 just

[|1 0 0 0&gt;, |5/6 2/3 -1/3 1/6&gt;, |5/3 -2/3 1/3 1/3&gt;, |0 0 0 1&gt;]

Eigenmonzos: 2, 8/7, 10/9

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 8/7, 10/9

Minkowski lattice basis: secor length 1.256, 3/2 length 1.369

Angle(secor, 3/2) = 106.958 cents

Map to lattice: [&lt;0 0 -1 -2|, &lt;0 1 -1 0|]

EDOs 197

<h2 id="toc1"><a name="x-Eleven limit children"></a>Eleven limit children</h2>

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<h3 id="toc2"><a name="x-Eleven limit children-Unidecimal marvel"></a>Unidecimal marvel</h3>

Commas: 225/224, 385/384

<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384

Minimax:

[|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,

|3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]

Eigenmonzos: 2, 10/9, 11/9

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/9

Lattice basis: secor length 1.0364 5/4 length 1.0759

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Map to lattice: [&lt;0 -1 0 -2 1|, &lt;0 -1 1 0 -2|]

Map: [[&~~amp;~~lt;~~1 0 0~~ -5 ~~12|~~, &lt;0 1 0 2 -1|, &lt;0 0 1 2 -3|]

Map: <a class="wiki_link" href="/%3C1%200%200%20-5%2012">, &lt;0 1 0 2 -1|, &lt;0 0 1 2 -3|][[Generator|Generators</a>: 2, 3, 5

~~Generators~~: 2, 3, 5

Edos: 19, 22, 31, 41, 50, 53, 72, 166, 197

<h3 id="toc3"><a name="x-Eleven limit children-Prodigy"></a>Prodigy</h3>

Commas: 225/224, 441/440

<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 441/440

Minimax:

[|1 0 0 0 0&gt;, |13/12 1/2 -1/4 0 1/12&gt;,

|13/6 -1 1/2 0 1/6&gt;,

|3/2 -1 1/2 0 1/2&gt;, |0 0 0 0 1&gt;]

Eigenmonzos: 2, 10/9, 11/8

<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9, 11/8

Lattice basis: secor length 0.9111, 3/2 length 0.9477

Angle(secor, 3/2) = 65.933

Map to lattice: [&lt;0 0 -1 -2 -3|, &lt;0 1 -1 0 3|]</body></html></pre></div>

@@ 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>2010-09-27 01:32:00 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-27 16:43:15 UTC</tt>.<br>
-: The original revision id was <tt>165604173</tt>.<br>
+: The original revision id was <tt>165808391</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 11: / Line 11: @@
 ===Vital statistics===
-Comma c = 225/224
+[[Comma]] c = 225/224
 -limit minmax: 3 and 5 1/4c flat, 7 just
 [|1 0 0 0&gt;, |5/4 1/2 -1/2 1/4&gt;, |5/4 -1/2 1/2 1/4&gt;, |0 0 0 1&gt;]
-Eigenmonzos: 2, 5/4, 6/5
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4, 6/5
 -limit minimx: 3 1/6c flat, 5 1/3c flat, 7 just
 [|1 0 0 0&gt;, |5/6 2/3 -1/3 1/6&gt;, |5/3 -2/3 1/3 1/3&gt;, |0 0 0 1&gt;]
-Eigenmonzos: 2, 8/7, 10/9
+[[Eigenmonzo|Eigenmonzos]]: 2, 8/7, 10/9
 Minkowski lattice basis: secor length 1.256, 3/2 length 1.369
 Angle(secor, 3/2) = 106.958 cents
 Map to lattice: [&lt;0 0 -1 -2|, &lt;0 1 -1 0|]
-EDOs 197
+[[edo|EDOs]]: [[197edo|197]]
 ==Eleven limit children==
@@ Line 30: / Line 30: @@
 ===Unidecimal marvel===
-Commas: 225/224, 385/384
+[[Comma|Commas]]: 225/224, 385/384
 Minimax:
 [|1 0 0 0 0&gt;, |4/3 8/9 -1/3 0 -1/9&gt;, |8/3 -2/9 1/3 0 -2/9&gt;,
 |3 4/3 0 0 -2/3&gt;, |8/3 -2/9 -2/3 0 7/9&gt;]
-Eigenmonzos: 2, 10/9, 11/9
+[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/9
 Lattice basis: secor length 1.0364 5/4 length 1.0759
@@ Line 42: / Line 42: @@
 Map: [[&lt;1 0 0 -5 12|, &lt;0 1 0 2 -1|, &lt;0 0 1 2 -3|]
-Generators: 2, 3, 5
+[[Generator|Generators]]: 2, 3, 5
-Edos: 19, 22, 31, 41, 50, 53, 72, 166, 197
+[[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]], [[50edo|50]], [[53edo|53]], [[72edo|72]], [[166edo|166]], [[197edo|197]]
 ===Prodigy===
-Commas: 225/224, 441/440
+[[Comma|Commas]]: 225/224, 441/440
 Minimax:
 [|1 0 0 0 0&gt;, |13/12 1/2 -1/4 0 1/12&gt;,
 |13/6 -1 1/2 0 1/6&gt;,
 |3/2 -1 1/2 0 1/2&gt;, |0 0 0 0 1&gt;]
-Eigenmonzos: 2, 10/9, 11/8
+[[Eigenmonzo|Eigenmonzos]]: 2, 10/9, 11/8
 Lattice basis: secor length 0.9111, 3/2 length 0.9477
@@ Line 65: / Line 66: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Vital statistics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Vital statistics&lt;/h3&gt;
-Comma c = 225/224&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Comma&lt;/a&gt; c = 225/224&lt;br /&gt;
 &lt;br /&gt;
 -limit minmax: 3 and 5 1/4c flat, 7 just&lt;br /&gt;
 [|1 0 0 0&amp;gt;, |5/4 1/2 -1/2 1/4&amp;gt;, |5/4 -1/2 1/2 1/4&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5/4, 6/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4, 6/5&lt;br /&gt;
 &lt;br /&gt;
 -limit minimx: 3 1/6c flat, 5 1/3c flat, 7 just&lt;br /&gt;
 [|1 0 0 0&amp;gt;, |5/6 2/3 -1/3 1/6&amp;gt;, |5/3 -2/3 1/3 1/3&amp;gt;, |0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 8/7, 10/9&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 8/7, 10/9&lt;br /&gt;
 &lt;br /&gt;
 Minkowski lattice basis: secor length 1.256, 3/2 length 1.369&lt;br /&gt;
 Angle(secor, 3/2) = 106.958 cents &lt;br /&gt;
 Map to lattice: [&amp;lt;0 0 -1 -2|, &amp;lt;0 1 -1 0|]&lt;br /&gt;
-EDOs 197&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;EDOs&lt;/a&gt;: &lt;a class="wiki_link" href="/197edo"&gt;197&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Eleven limit children"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Eleven limit children&lt;/h2&gt;
@@ Line 84: / Line 85: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Eleven limit children-Unidecimal marvel"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Unidecimal marvel&lt;/h3&gt;
-Commas: 225/224, 385/384&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 385/384&lt;br /&gt;
 &lt;br /&gt;
 Minimax: &lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |4/3 8/9 -1/3 0 -1/9&amp;gt;, |8/3 -2/9 1/3 0 -2/9&amp;gt;,&lt;br /&gt;
 |3 4/3 0 0 -2/3&amp;gt;, |8/3 -2/9 -2/3 0 7/9&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 10/9, 11/9&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/9&lt;br /&gt;
 &lt;br /&gt;
 Lattice basis: secor length 1.0364 5/4 length 1.0759&lt;br /&gt;
@@ Line 95: / Line 96: @@
 Map to lattice: [&amp;lt;0 -1 0 -2 1|, &amp;lt;0 -1 1 0 -2|]&lt;br /&gt;
 &lt;br /&gt;
-Map: [[&amp;lt;1 0 0 -5 12|, &amp;lt;0 1 0 2 -1|, &amp;lt;0 0 1 2 -3|]&lt;br /&gt;
+Map: &lt;a class="wiki_link" href="/%3C1%200%200%20-5%2012"&gt;, &amp;lt;0 1 0 2 -1|, &amp;lt;0 0 1 2 -3|][[Generator|Generators&lt;/a&gt;: 2, 3, 5&lt;br /&gt;
-Generators: 2, 3, 5&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/19edo"&gt;19&lt;/a&gt;, &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/197edo"&gt;197&lt;/a&gt;&lt;br /&gt;
-Edos: 19, 22, 31, 41, 50, 53, 72, 166, 197&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Eleven limit children-Prodigy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Prodigy&lt;/h3&gt;
-Commas: 225/224, 441/440&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: 225/224, 441/440&lt;br /&gt;
+&lt;br /&gt;
 Minimax: &lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |13/12 1/2 -1/4 0 1/12&amp;gt;, &lt;br /&gt;
 |13/6 -1 1/2 0 1/6&amp;gt;,&lt;br /&gt;
 |3/2 -1 1/2 0 1/2&amp;gt;, |0 0 0 0 1&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 10/9, 11/8&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9, 11/8&lt;br /&gt;
 &lt;br /&gt;
 Lattice basis: secor length 0.9111, 3/2 length 0.9477&lt;br /&gt;
 Angle(secor, 3/2) = 65.933&lt;br /&gt;
 Map to lattice: [&amp;lt;0 0 -1 -2 -3|, &amp;lt;0 1 -1 0 3|]&lt;/body&gt;&lt;/html&gt;</pre></div>

Marvel family: Difference between revisions

Wikispaces>xenwolf