Starling temperaments: Difference between revisions

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<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>2010-11-14 01:57:57 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-14 04:13:06 UTC</tt>.

: The original revision id was <tt>~~179272927~~</tt>.

: The original revision id was <tt>179279983</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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7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>,

|17/6 5/12 0 -5/12>, [5/2 -1/4 0 1/4>]

~~eigenmonzos~~: 2, 7/6

Eigenmonzos: 2, 7/6

9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>,

|47/21 10/21 0 -5/21>, |20/7 -2/7 0 1/7>]

~~eigenmonzos~~: 2, 9/7

Eigenmonzos: 2, 9/7

Map: [<1 1 2 3|, <0 9 5 -3|]

Generators: 2, 21/20

11-limit

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[|1 0 0 0 0>, |1 0 0 -9/10 9/10>,

|2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10>]

~~eigenmonzos~~: 2, 11/7

Eigenmonzos: 2, 11/7

Algebraic generator: Gontrand2, the smallest positive root of 4x^7-8x^6+5, at 77.9989 cents.

Map: [<1 1 2 3 3|, <0 9 5 -3 7|]

Edos: 77, 108, 185

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7-limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;,

|17/6 5/12 0 -5/12&gt;, [5/2 -1/4 0 1/4&gt;]

~~eigenmonzos~~: 2, 7/6

Eigenmonzos: 2, 7/6

9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;,

|47/21 10/21 0 -5/21&gt;, |20/7 -2/7 0 1/7&gt;]

~~eigenmonzos~~: 2, 9/7

Eigenmonzos: 2, 9/7

Map: [&lt;1 1 2 3|, &lt;0 9 5 -3|]

Generators: 2, 21/20

11-limit

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[|1 0 0 0 0&gt;, |1 0 0 -9/10 9/10&gt;,

|2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]

~~eigenmonzos~~: 2, 11/7

Eigenmonzos: 2, 11/7

Algebraic generator: Gontrand2, the smallest positive root of 4x^7-8x^6+5, at 77.9989 cents.

Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]

Edos: 77, 108, 185

@@ 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>2010-11-14 01:57:57 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-11-14 04:13:06 UTC</tt>.<br>
-: The original revision id was <tt>179272927</tt>.<br>
+: The original revision id was <tt>179279983</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 50: / Line 50: @@
 -limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;,
 |17/6 5/12 0 -5/12&gt;, [5/2 -1/4 0 1/4&gt;]
-eigenmonzos: 2, 7/6
+Eigenmonzos: 2, 7/6
 -limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;,
 |47/21 10/21 0 -5/21&gt;, |20/7 -2/7 0 1/7&gt;]
-eigenmonzos: 2, 9/7
+Eigenmonzos: 2, 9/7
+Map: [&lt;1 1 2 3|, &lt;0 9 5 -3|]
+Generators: 2, 21/20
 -limit
@@ Line 62: / Line 65: @@
 [|1 0 0 0 0&gt;, |1 0 0 -9/10 9/10&gt;,
 |2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]
-eigenmonzos: 2, 11/7
+Eigenmonzos: 2, 11/7
+Algebraic generator: Gontrand2, the smallest positive root of 4x^7-8x^6+5, at 77.9989 cents.
+Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]
 Edos: 77, 108, 185
@@ Line 118: / Line 124: @@
 -limit: [|1 0 0 0&amp;gt;, |5/2 3/4 0 -3/4&amp;gt;, &lt;br /&gt;
 |17/6 5/12 0 -5/12&amp;gt;, [5/2 -1/4 0 1/4&amp;gt;]&lt;br /&gt;
-eigenmonzos: 2, 7/6&lt;br /&gt;
+Eigenmonzos: 2, 7/6&lt;br /&gt;
 &lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |10/7 6/7 0 -3/7&amp;gt;, &lt;br /&gt;
 |47/21 10/21 0 -5/21&amp;gt;, |20/7 -2/7 0 1/7&amp;gt;]&lt;br /&gt;
-eigenmonzos: 2, 9/7&lt;br /&gt;
+Eigenmonzos: 2, 9/7&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 1 2 3|, &amp;lt;0 9 5 -3|]&lt;br /&gt;
+Generators: 2, 21/20&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
@@ Line 130: / Line 139: @@
 [|1 0 0 0 0&amp;gt;, |1 0 0 -9/10 9/10&amp;gt;, &lt;br /&gt;
 |2 0 0 -1/2 1/2&amp;gt;, |3 0 0 3/10 -3/10&amp;gt;, |3 0 0 -7/10 7/10&amp;gt;]&lt;br /&gt;
-eigenmonzos: 2, 11/7&lt;br /&gt;
+Eigenmonzos: 2, 11/7&lt;br /&gt;
+&lt;br /&gt;
+Algebraic generator: Gontrand2, the smallest positive root of 4x^7-8x^6+5, at 77.9989 cents.&lt;br /&gt;
 &lt;br /&gt;
+Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 9 5 -3 7|]&lt;br /&gt;
 Edos: 77, 108, 185&lt;br /&gt;
 &lt;br /&gt;