6L 16s: 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-~~24 14~~:28:35 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-30 11:13:17 UTC</tt>.

: The original revision id was <tt>~~552016898~~</tt>.

: The original revision id was <tt>564479591</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.

<h4>Original Wikitext content:</h4>

<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">This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218 ~~2/11~~ cents).

<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">This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).

|| 4/22 || || || || || 218 ~~2/11~~ ||

|| 4/22 || || || || || 218.182 ||

|| || || || || 17/94 || 217 ~~1/47~~ ||

|| || || || || 17/94 || 217.021 ||

|| || || || 13/72 || || 216 ~~2/3~~ ||

|| || || || 13/72 || || 216.667 ||

|| || || || || 22/122 || 216 ~~24/61~~ ||

|| || || || || 22/122 || 216.393 ||

|| || || 9/50 || || || 216 ||

|| || || || || || 215.733 ||

|| || || || || 23/128 || 215.625 ||

|| || || || 14/78 || || 215 ~~5/13~~ ||

|| || || || || || 215.559 ||

|| || || || || 19/106 || 215 ~~5/53~~ ||

|| || || || 14/78 || || 215.385 ||

|| || 5/28 || || || || 214 ~~2/7~~ ||

|| || || || || 19/106 || 215.094 ||

|| || || || || 16/90 || 213 ~~1/3~~ ||

|| || 5/28 || || || || 214.286 ||

|| || || || 11/62 || || 212 ~~28/31~~ ||

|| || || || || 16/90 || 213.333 ||

|| || || || 11/62 || || 212.903 ||

|| || || || || || 212.615 ||

|| || || || || 17/96 || 212.5 ||

|| || || || || || 212.~~3801865~~ ||

|| || || || || || 212.38 ||

|| || || 6/34 || || || 211 ~~13/17~~ ||

|| || || 6/34 || || || 211.765 ||

|| || || || || || 211.~~477908~~ ||

|| || || || || || 211.478 ||

|| || || || || 13/74 || 210 ~~30/70~~ ||

|| || || || || 13/74 || 210.811 ||

|| || || || 7/40 || || 210 ||

|| || || || || 8/46 || 208 ~~16/23~~ ||

|| || || || || 8/46 || 208.696 ||

|| 1/6 || || || || || 200 ||</pre></div>

<h4>Original HTML content:</h4>

<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>6L 16s</title></head><body>This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218 ~~2/11~~ cents).

<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>6L 16s</title></head><body>This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).

Line 42:

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<td>

</td>

<td>218 ~~2/11~~

<td>218.182

</td>

</tr>

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<td>17/94

</td>

<td>217 ~~1/47~~

<td>217.021

</td>

</tr>

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<td>

</td>

<td>216 ~~2/3~~

<td>216.667

</td>

</tr>

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<td>22/122

</td>

<td>216 ~~24/61~~

<td>216.393

</td>

</tr>

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</td>

<td>216

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>215.733

</td>

</tr>

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</td>

<td>215.625

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>215.559

</td>

</tr>

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<td>

</td>

<td>215 ~~5/13~~

<td>215.385

</td>

</tr>

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<td>19/106

</td>

<td>215 ~~5/53~~

<td>215.094

</td>

</tr>

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<td>

</td>

<td>214 ~~2/7~~

<td>214.286

</td>

</tr>

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<td>16/90

</td>

<td>213 ~~1/3~~

<td>213.333

</td>

</tr>

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<td>

</td>

<td>212 28/31

<td>212.903

</td>

</tr>

<tr>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>

</td>

<td>212.615

</td>

</tr>

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<td>

</td>

<td>212.~~3801865~~

<td>212.38

</td>

</tr>

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<td>

</td>

<td>211 ~~13/17~~

<td>211.765

</td>

</tr>

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<td>

</td>

<td>211.~~477908~~

<td>211.478

</td>

</tr>

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<td>13/74

</td>

<td>210 ~~30/70~~

<td>210.811

</td>

</tr>

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<td>8/46

</td>

<td>208 ~~16/23~~

<td>208.696

</td>

</tr>

@@ 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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 14:28:35 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-30 11:13:17 UTC</tt>.<br>
-: The original revision id was <tt>552016898</tt>.<br>
+: The original revision id was <tt>564479591</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>
 <h4>Original Wikitext content:</h4>
-<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">This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218 2/11 cents).
+<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">This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).
-|| 4/22 ||   ||   ||   ||   || 218 2/11 ||
+|| 4/22 ||   ||   ||   ||   || 218.182 ||
-||   ||   ||   ||   || 17/94 || 217 1/47 ||
+||   ||   ||   ||   || 17/94 || 217.021 ||
-||   ||   ||   || 13/72 ||   || 216 2/3 ||
+||   ||   ||   || 13/72 ||   || 216.667 ||
-||   ||   ||   ||   || 22/122 || 216 24/61 ||
+||   ||   ||   ||   || 22/122 || 216.393 ||
 ||   ||   || 9/50 ||   ||   || 216 ||
+||   ||   ||   ||   ||   || 215.733 ||
 ||   ||   ||   ||   || 23/128 || 215.625 ||
-||   ||   ||   || 14/78 ||   || 215 5/13 ||
+||   ||   ||   ||   ||   || 215.559 ||
-||   ||   ||   ||   || 19/106 || 215 5/53 ||
+||   ||   ||   || 14/78 ||   || 215.385 ||
-||   || 5/28 ||   ||   ||   || 214 2/7 ||
+||   ||   ||   ||   || 19/106 || 215.094 ||
-||   ||   ||   ||   || 16/90 || 213 1/3 ||
+||   || 5/28 ||   ||   ||   || 214.286 ||
-||   ||   ||   || 11/62 ||   || 212 28/31 ||
+||   ||   ||   ||   || 16/90 || 213.333 ||
+||   ||   ||   || 11/62 ||   || 212.903 ||
+||   ||   ||   ||   ||   || 212.615 ||
 ||   ||   ||   ||   || 17/96 || 212.5 ||
-||   ||   ||   ||   ||   || 212.3801865 ||
+||   ||   ||   ||   ||   || 212.38 ||
-||   ||   || 6/34 ||   ||   || 211 13/17 ||
+||   ||   || 6/34 ||   ||   || 211.765 ||
-||   ||   ||   ||   ||   || 211.477908 ||
+||   ||   ||   ||   ||   || 211.478 ||
-||   ||   ||   ||   || 13/74 || 210 30/70 ||
+||   ||   ||   ||   || 13/74 || 210.811 ||
 ||   ||   ||   || 7/40 ||   || 210 ||
-||   ||   ||   ||   || 8/46 || 208 16/23 ||
+||   ||   ||   ||   || 8/46 || 208.696 ||
 || 1/6 ||   ||   ||   ||   || 200 ||</pre></div>
 <h4>Original HTML content:</h4>
-<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;6L 16s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218 2/11 cents).&lt;br /&gt;
+<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;6L 16s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the MOS where the pattern 3L 8s repeats at the half octave. However, it has a small major third as a generator instead of the medium to large major third which generates 3L 8s. With the half-octave equivalence, the third inverts to a 'diatonic' whole tone of no more than 4/22edo (218.182 cents).&lt;br /&gt;
@@ Line 42: / Line 45: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;218 2/11&lt;br /&gt;
+         &lt;td&gt;218.182&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 56: / Line 59: @@
          &lt;td&gt;17/94&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;217 1/47&lt;br /&gt;
+         &lt;td&gt;217.021&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 70: / Line 73: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;216 2/3&lt;br /&gt;
+         &lt;td&gt;216.667&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 84: / Line 87: @@
          &lt;td&gt;22/122&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;216 24/61&lt;br /&gt;
+         &lt;td&gt;216.393&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 99: / Line 102: @@
 &lt;/td&gt;
          &lt;td&gt;216&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;215.733&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 113: / Line 130: @@
 &lt;/td&gt;
          &lt;td&gt;215.625&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;215.559&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 126: / Line 157: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;215 5/13&lt;br /&gt;
+         &lt;td&gt;215.385&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 140: / Line 171: @@
          &lt;td&gt;19/106&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;215 5/53&lt;br /&gt;
+         &lt;td&gt;215.094&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 154: / Line 185: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;214 2/7&lt;br /&gt;
+         &lt;td&gt;214.286&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 168: / Line 199: @@
          &lt;td&gt;16/90&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;213 1/3&lt;br /&gt;
+         &lt;td&gt;213.333&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 182: / Line 213: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;212 28/31&lt;br /&gt;
+         &lt;td&gt;212.903&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;212.615&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 210: / Line 255: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;212.3801865&lt;br /&gt;
+         &lt;td&gt;212.38&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 224: / Line 269: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;211 13/17&lt;br /&gt;
+         &lt;td&gt;211.765&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 238: / Line 283: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;211.477908&lt;br /&gt;
+         &lt;td&gt;211.478&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 252: / Line 297: @@
          &lt;td&gt;13/74&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;210 30/70&lt;br /&gt;
+         &lt;td&gt;210.811&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 325: @@
          &lt;td&gt;8/46&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;208 16/23&lt;br /&gt;
+         &lt;td&gt;208.696&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;