Tablet: 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>2011-10-19 15:56:40 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-10 19:33:57 UTC</tt>.

: The original revision id was <tt>~~266534214~~</tt>.

: The original revision id was <tt>274225636</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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* 5-limit JI

* Chord 1

6/5-5/4-6/5-10/9

* 7-limit JI

* Chords 2-6

5/4-6/5-7/6-8/7

6/5-5/4-8/7-7/6

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* 11-limit JI

* Chords 7-15

5/4-6/5-11/9-12/11

6/5-5/4-12/11-11/9

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* 13-limit JI

* Chords 16-26

15/13-13/11-11/9-6/5

11/9-13/11-15/13-6/5

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* 441/440 tempered

* Chords 27-34

5/4-8/7-11/9-8/7

9/8-14/11-11/10-14/11

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* 896/891 tempered

* Chords 35-37

9/8-11/9-9/8-9/7

9/8-11/9-9/7-9/8

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* 196/195 tempered

* Chord 38

7/6-6/5-7/6-16/13

* 352/351 tempered

* Chords 39-53

9/8-13/10-5/4-12/11

11/9-16/13-9/8-13/11

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* 364/363 tempered

* Chords 54-62

13/11-14/11-8/7-7/6

13/11-14/11-11/9-12/11

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* {196/195, 352/351} tempered

* Chords 63-64

11/9-16/13-7/6-8/7

16/13-11/9-8/7-7/6

* {196/195, 363/363} tempered

* Chords 65-66

7/6-13/11-13/11-16/13

13/11-13/11-7/6-16/13

* {352/351, 364/363] tempered

* Chords 67-69

7/6-9/7-9/8-13/11

14/11-13/11-9/8-13/11

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* Pele {196/195, 352/351, 364/363} tempered

* Chords 70-71

13/11-14/11-9/8-13/11

14/11-13/11-13/11-9/8]]:

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If c is a chord identifier, [c[1] c[2] c[3]], c[2] and c[3] any integers and 0 &lt; c[1] &lt; 72, then if u = n - 6c[2] - 9c[3], v = u mod 4 and w = chords(c[1]), we may define note(n, c) = 2^((u-v)/4) 3^c[2] 5^c[3] w[v+1]. The steps of the 71 chords are as follows:

<ul><li>5-limit JI</li></ul>6/5-5/4-6/5-10/9

<ul><li>5-limit JI</li><li>Chord 1</li></ul>6/5-5/4-6/5-10/9

<ul><li>7-limit JI</li></ul>5/4-6/5-7/6-8/7

<ul><li>7-limit JI</li><li>Chords 2-6</li></ul>5/4-6/5-7/6-8/7

6/5-5/4-8/7-7/6

9/7-7/6-6/5-10/9

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Line 488:

7/6-9/7-7/6-8/7

<ul><li>11-limit JI</li></ul>5/4-6/5-11/9-12/11

<ul><li>11-limit JI</li><li>Chords 7-15</li></ul>5/4-6/5-11/9-12/11

6/5-5/4-12/11-11/9

9/7-7/6-12/11-11/9

Line 485:

Line 498:

11/10-14/11-9/7-10/9

<ul><li>13-limit JI</li></ul>15/13-13/11-11/9-6/5

<ul><li>13-limit JI</li><li>Chords 16-26</li></ul>15/13-13/11-11/9-6/5

11/9-13/11-15/13-6/5

9/8-11/9-13/11-16/13

Line 497:

Line 510:

9/8-10/9-13/10-16/13

<ul><li>441/440 tempered</li></ul>5/4-8/7-11/9-8/7

<ul><li>441/440 tempered</li><li>Chords 27-34</li></ul>5/4-8/7-11/9-8/7

9/8-14/11-11/10-14/11

11/9-9/8-14/11-8/7

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Line 519:

9/7-11/9-8/7-10/9

<ul><li>896/891 tempered</li></ul>9/8-11/9-9/8-9/7

<ul><li>896/891 tempered</li><li>Chords 35-37</li></ul>9/8-11/9-9/8-9/7

9/8-11/9-9/7-9/8

11/9-9/8-9/8-9/7

<ul><li>196/195 tempered</li></ul>7/6-6/5-7/6-16/13

<ul><li>196/195 tempered</li><li>Chord 38</li></ul>7/6-6/5-7/6-16/13

<ul><li>352/351 tempered</li></ul>9/8-13/10-5/4-12/11

<ul><li>352/351 tempered</li><li>Chords 39-53</li></ul>9/8-13/10-5/4-12/11

11/9-16/13-9/8-13/11

15/13-13/10-9/8-13/11

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10/9-9/8-13/10-16/13

<ul><li>364/363 tempered</li></ul>13/11-14/11-8/7-7/6

<ul><li>364/363 tempered</li><li>Chords 54-62</li></ul>13/11-14/11-8/7-7/6

13/11-14/11-11/9-12/11

11/9-13/11-12/11-14/11

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14/11-13/11-11/9-12/11

<ul><li>{196/195, 352/351} tempered</li></ul>11/9-16/13-7/6-8/7

<ul><li>{196/195, 352/351} tempered</li><li>Chords 63-64</li></ul>11/9-16/13-7/6-8/7

16/13-11/9-8/7-7/6

<ul><li>{196/195, 363/363} tempered</li></ul>7/6-13/11-13/11-16/13

<ul><li>{196/195, 363/363} tempered</li><li>Chords 65-66</li></ul>7/6-13/11-13/11-16/13

13/11-13/11-7/6-16/13

<ul><li>{352/351, 364/363] tempered</li></ul>7/6-9/7-9/8-13/11

<ul><li>{352/351, 364/363] tempered</li><li>Chords 67-69</li></ul>7/6-9/7-9/8-13/11

14/11-13/11-9/8-13/11

9/7-7/6-13/11-9/8

<ul><li>Pele {196/195, 352/351, 364/363} tempered</li></ul>13/11-14/11-9/8-13/11

<ul><li>Pele {196/195, 352/351, 364/363} tempered</li><li>Chords 70-71</li></ul>13/11-14/11-9/8-13/11

14/11-13/11-13/11-9/8]]:

@@ 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>2011-10-19 15:56:40 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-10 19:33:57 UTC</tt>.<br>
-: The original revision id was <tt>266534214</tt>.<br>
+: The original revision id was <tt>274225636</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 115: / Line 115: @@
 * 5-limit JI
+* Chord 1
 /5-5/4-6/5-10/9
 * 7-limit JI
+* Chords 2-6
 /4-6/5-7/6-8/7
 /5-5/4-8/7-7/6
@@ Line 125: / Line 127: @@
 * 11-limit JI
+* Chords 7-15
 /4-6/5-11/9-12/11
 /5-5/4-12/11-11/9
@@ Line 136: / Line 139: @@
 * 13-limit JI
+* Chords 16-26
 /13-13/11-11/9-6/5
 /9-13/11-15/13-6/5
@@ Line 149: / Line 153: @@
 * 441/440 tempered
+* Chords 27-34
 /4-8/7-11/9-8/7
 /8-14/11-11/10-14/11
@@ Line 159: / Line 164: @@
 * 896/891 tempered
+* Chords 35-37
 /8-11/9-9/8-9/7
 /8-11/9-9/7-9/8
@@ Line 164: / Line 170: @@
 * 196/195 tempered
+* Chord 38
 /6-6/5-7/6-16/13
 * 352/351 tempered
+* Chords 39-53
 /8-13/10-5/4-12/11
 /9-16/13-9/8-13/11
@@ Line 184: / Line 192: @@
 * 364/363 tempered
+* Chords 54-62
 /11-14/11-8/7-7/6
 /11-14/11-11/9-12/11
@@ Line 195: / Line 204: @@
 * {196/195, 352/351} tempered
+* Chords 63-64
 /9-16/13-7/6-8/7
 /13-11/9-8/7-7/6
 * {196/195, 363/363} tempered
+* Chords 65-66
 /6-13/11-13/11-16/13
 /11-13/11-7/6-16/13
 * {352/351, 364/363] tempered
+* Chords 67-69
 /6-9/7-9/8-13/11
 /11-13/11-9/8-13/11
@@ Line 208: / Line 220: @@
 * Pele {196/195, 352/351, 364/363} tempered
+* Chords 70-71
 /11-14/11-9/8-13/11
 /11-13/11-13/11-9/8]]:
@@ Line 467: / Line 480: @@
 If c is a chord identifier, [c[1] c[2] c[3]], c[2] and c[3] any integers and 0 &amp;lt; c[1] &amp;lt; 72, then if u = n - 6c[2] - 9c[3], v = u mod 4 and w = chords(c[1]), we may define note(n, c) = 2^((u-v)/4) 3^c[2] 5^c[3] w[v+1]. The steps of the 71 chords are as follows:&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;5-limit JI&lt;/li&gt;&lt;/ul&gt;6/5-5/4-6/5-10/9&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;5-limit JI&lt;/li&gt;&lt;li&gt;Chord 1&lt;/li&gt;&lt;/ul&gt;6/5-5/4-6/5-10/9&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;7-limit JI&lt;/li&gt;&lt;/ul&gt;5/4-6/5-7/6-8/7&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;7-limit JI&lt;/li&gt;&lt;li&gt;Chords 2-6&lt;/li&gt;&lt;/ul&gt;5/4-6/5-7/6-8/7&lt;br /&gt;
 /5-5/4-8/7-7/6&lt;br /&gt;
 /7-7/6-6/5-10/9&lt;br /&gt;
@@ Line 475: / Line 488: @@
 /6-9/7-7/6-8/7&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;11-limit JI&lt;/li&gt;&lt;/ul&gt;5/4-6/5-11/9-12/11&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;11-limit JI&lt;/li&gt;&lt;li&gt;Chords 7-15&lt;/li&gt;&lt;/ul&gt;5/4-6/5-11/9-12/11&lt;br /&gt;
 /5-5/4-12/11-11/9&lt;br /&gt;
 /7-7/6-12/11-11/9&lt;br /&gt;
@@ Line 485: / Line 498: @@
 /10-14/11-9/7-10/9&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;13-limit JI&lt;/li&gt;&lt;/ul&gt;15/13-13/11-11/9-6/5&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;13-limit JI&lt;/li&gt;&lt;li&gt;Chords 16-26&lt;/li&gt;&lt;/ul&gt;15/13-13/11-11/9-6/5&lt;br /&gt;
 /9-13/11-15/13-6/5&lt;br /&gt;
 /8-11/9-13/11-16/13&lt;br /&gt;
@@ Line 497: / Line 510: @@
 /8-10/9-13/10-16/13&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;441/440 tempered&lt;/li&gt;&lt;/ul&gt;5/4-8/7-11/9-8/7&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;441/440 tempered&lt;/li&gt;&lt;li&gt;Chords 27-34&lt;/li&gt;&lt;/ul&gt;5/4-8/7-11/9-8/7&lt;br /&gt;
 /8-14/11-11/10-14/11&lt;br /&gt;
 /9-9/8-14/11-8/7&lt;br /&gt;
@@ Line 506: / Line 519: @@
 /7-11/9-8/7-10/9&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;896/891 tempered&lt;/li&gt;&lt;/ul&gt;9/8-11/9-9/8-9/7&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;896/891 tempered&lt;/li&gt;&lt;li&gt;Chords 35-37&lt;/li&gt;&lt;/ul&gt;9/8-11/9-9/8-9/7&lt;br /&gt;
 /8-11/9-9/7-9/8&lt;br /&gt;
 /9-9/8-9/8-9/7&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;196/195 tempered&lt;/li&gt;&lt;/ul&gt;7/6-6/5-7/6-16/13&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;196/195 tempered&lt;/li&gt;&lt;li&gt;Chord 38&lt;/li&gt;&lt;/ul&gt;7/6-6/5-7/6-16/13&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;352/351 tempered&lt;/li&gt;&lt;/ul&gt;9/8-13/10-5/4-12/11&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;352/351 tempered&lt;/li&gt;&lt;li&gt;Chords 39-53&lt;/li&gt;&lt;/ul&gt;9/8-13/10-5/4-12/11&lt;br /&gt;
 /9-16/13-9/8-13/11&lt;br /&gt;
 /13-13/10-9/8-13/11&lt;br /&gt;
@@ Line 528: / Line 541: @@
 /9-9/8-13/10-16/13&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;364/363 tempered&lt;/li&gt;&lt;/ul&gt;13/11-14/11-8/7-7/6&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;364/363 tempered&lt;/li&gt;&lt;li&gt;Chords 54-62&lt;/li&gt;&lt;/ul&gt;13/11-14/11-8/7-7/6&lt;br /&gt;
 /11-14/11-11/9-12/11&lt;br /&gt;
 /9-13/11-12/11-14/11&lt;br /&gt;
@@ Line 538: / Line 551: @@
 /11-13/11-11/9-12/11&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;{196/195, 352/351} tempered&lt;/li&gt;&lt;/ul&gt;11/9-16/13-7/6-8/7&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;{196/195, 352/351} tempered&lt;/li&gt;&lt;li&gt;Chords 63-64&lt;/li&gt;&lt;/ul&gt;11/9-16/13-7/6-8/7&lt;br /&gt;
 /13-11/9-8/7-7/6&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;{196/195, 363/363} tempered&lt;/li&gt;&lt;/ul&gt;7/6-13/11-13/11-16/13&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;{196/195, 363/363} tempered&lt;/li&gt;&lt;li&gt;Chords 65-66&lt;/li&gt;&lt;/ul&gt;7/6-13/11-13/11-16/13&lt;br /&gt;
 /11-13/11-7/6-16/13&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;{352/351, 364/363] tempered&lt;/li&gt;&lt;/ul&gt;7/6-9/7-9/8-13/11&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;{352/351, 364/363] tempered&lt;/li&gt;&lt;li&gt;Chords 67-69&lt;/li&gt;&lt;/ul&gt;7/6-9/7-9/8-13/11&lt;br /&gt;
 /11-13/11-9/8-13/11&lt;br /&gt;
 /7-7/6-13/11-9/8&lt;br /&gt;
 &lt;br /&gt;
-&lt;ul&gt;&lt;li&gt;Pele {196/195, 352/351, 364/363} tempered&lt;/li&gt;&lt;/ul&gt;13/11-14/11-9/8-13/11&lt;br /&gt;
+&lt;ul&gt;&lt;li&gt;Pele {196/195, 352/351, 364/363} tempered&lt;/li&gt;&lt;li&gt;Chords 70-71&lt;/li&gt;&lt;/ul&gt;13/11-14/11-9/8-13/11&lt;br /&gt;
 /11-13/11-13/11-9/8]]:&lt;br /&gt;
 &lt;br /&gt;