2L 13s: Difference between revisions

Revision as of 22:33, 24 October 2015

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author JosephRuhf and made on 2015-10-24 22:33:03 UTC.

The original revision id was 563774581.

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:

This MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.
|| 1/2 ||   ||   ||   ||   || 600 ||
||   ||   ||   ||   || 11/23 || 573.913 ||
||   ||   ||   || 10/21 ||   || 571.429 ||
||   ||   ||   ||   || 19/40 || 570 ||
||   ||   ||   ||   ||   || 568.885 ||
||   ||   || 9/19 ||   ||   || 568.421 ||
||   ||   ||   ||   ||   || 567.446 ||
||   ||   ||   ||   || 26/55 || 567.273 ||
||   ||   ||   ||   ||   || 567.098 ||
||   ||   ||   || 17/36 ||   || 566.667 ||
||   ||   ||   ||   || 25/53 || 566.038 ||
||   || 8/17 ||   ||   ||   || 564.706 ||
||   ||   ||   ||   || 31/66 || 563.818 ||
||   ||   ||   || 23/49 ||   || 563.265 ||
||   ||   ||   ||   ||   || 563.045 ||
||   ||   ||   ||   || 38/81 || 562.963 ||
||   ||   || 15/32 ||   ||   || 562.5 ||
||   ||   ||   ||   || 37/79 || 562.025 ||
||   ||   ||   || 22/47 ||   || 561.702 ||
||   ||   ||   ||   || 29/62 || 561.290 ||
|| 7/15 ||   ||   ||   ||   || 560 ||

Original HTML content:

<html><head><title>2L 13s</title></head><body>This MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.<br />


<table class="wiki_table">
    <tr>
        <td>1/2<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>600<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/23<br />
</td>
        <td>573.913<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>10/21<br />
</td>
        <td><br />
</td>
        <td>571.429<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>19/40<br />
</td>
        <td>570<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>568.885<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>568.421<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>567.446<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>26/55<br />
</td>
        <td>567.273<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>567.098<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17/36<br />
</td>
        <td><br />
</td>
        <td>566.667<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>25/53<br />
</td>
        <td>566.038<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8/17<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>564.706<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>31/66<br />
</td>
        <td>563.818<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/49<br />
</td>
        <td><br />
</td>
        <td>563.265<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>563.045<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>38/81<br />
</td>
        <td>562.963<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>15/32<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>562.5<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>37/79<br />
</td>
        <td>562.025<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/47<br />
</td>
        <td><br />
</td>
        <td>561.702<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>29/62<br />
</td>
        <td>561.290<br />
</td>
    </tr>
    <tr>
        <td>7/15<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>560<br />
</td>
    </tr>
</table>

</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:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 11:28:01 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-24 22:33:03 UTC</tt>.<br>
-: The original revision id was <tt>552008472</tt>.<br>
+: The original revision id was <tt>563774581</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 8: / Line 8: @@
 <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 MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.
 || 1/2 ||   ||   ||   ||   || 600 ||
-||   ||   ||   ||   || 11/23 || 573.9130435 ||
+||   ||   ||   ||   || 11/23 || 573.913 ||
-||   ||   ||   || 10/21 ||   || 571 3/7 ||
+||   ||   ||   || 10/21 ||   || 571.429 ||
 ||   ||   ||   ||   || 19/40 || 570 ||
-||   ||   ||   ||   ||   || 568.884809 ||
+||   ||   ||   ||   ||   || 568.885 ||
-||   ||   || 9/19 ||   ||   || 568.421053 ||
+||   ||   || 9/19 ||   ||   || 568.421 ||
-||   ||   ||   ||   ||   || 567.445974 ||
+||   ||   ||   ||   ||   || 567.446 ||
-||   ||   ||   ||   || 26/55 || 567 3/11 ||
+||   ||   ||   ||   || 26/55 || 567.273 ||
-||   ||   ||   || 17/36 ||   || 566 2/3 ||
+||   ||   ||   ||   ||   || 567.098 ||
-||   ||   ||   ||   || 25/53 || 566.037736 ||
+||   ||   ||   || 17/36 ||   || 566.667 ||
-||   || 8/17 ||   ||   ||   || 564.705882 ||
+||   ||   ||   ||   || 25/53 || 566.038 ||
-||   ||   ||   ||   || 31/66 || 563 9/11 ||
+||   || 8/17 ||   ||   ||   || 564.706 ||
-||   ||   ||   || 23/49 ||   || 563.265306 ||
+||   ||   ||   ||   || 31/66 || 563.818 ||
-||   ||   ||   ||   || 38/81 || 562 26/27 ||
+||   ||   ||   || 23/49 ||   || 563.265 ||
+||   ||   ||   ||   ||   || 563.045 ||
+||   ||   ||   ||   || 38/81 || 562.963 ||
 ||   ||   || 15/32 ||   ||   || 562.5 ||
-||   ||   ||   ||   || 37/79 || 562.0253165 ||
+||   ||   ||   ||   || 37/79 || 562.025 ||
-||   ||   ||   || 22/47 ||   || 561.702128 ||
+||   ||   ||   || 22/47 ||   || 561.702 ||
-||   ||   ||   ||   || 29/62 || 561.290323 ||
+||   ||   ||   ||   || 29/62 || 561.290 ||
 || 7/15 ||   ||   ||   ||   || 560 ||</pre></div>
 <h4>Original HTML content:</h4>
@@ Line 56: / Line 58: @@
          &lt;td&gt;11/23&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;573.9130435&lt;br /&gt;
+         &lt;td&gt;573.913&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 70: / Line 72: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;571 3/7&lt;br /&gt;
+         &lt;td&gt;571.429&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 98: / Line 100: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;568.884809&lt;br /&gt;
+         &lt;td&gt;568.885&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 112: / Line 114: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;568.421053&lt;br /&gt;
+         &lt;td&gt;568.421&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 126: / Line 128: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;567.445974&lt;br /&gt;
+         &lt;td&gt;567.446&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 140: / Line 142: @@
          &lt;td&gt;26/55&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;567 3/11&lt;br /&gt;
+         &lt;td&gt;567.273&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;567.098&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 154: / Line 170: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;566 2/3&lt;br /&gt;
+         &lt;td&gt;566.667&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 168: / Line 184: @@
          &lt;td&gt;25/53&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;566.037736&lt;br /&gt;
+         &lt;td&gt;566.038&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 182: / Line 198: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;564.705882&lt;br /&gt;
+         &lt;td&gt;564.706&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 196: / Line 212: @@
          &lt;td&gt;31/66&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;563 9/11&lt;br /&gt;
+         &lt;td&gt;563.818&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 210: / Line 226: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;563.265306&lt;br /&gt;
+         &lt;td&gt;563.265&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;563.045&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 224: / Line 254: @@
          &lt;td&gt;38/81&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;562 26/27&lt;br /&gt;
+         &lt;td&gt;562.963&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 252: / Line 282: @@
          &lt;td&gt;37/79&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;562.0253165&lt;br /&gt;
+         &lt;td&gt;562.025&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 266: / Line 296: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;561.702128&lt;br /&gt;
+         &lt;td&gt;561.702&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 310: @@
          &lt;td&gt;29/62&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;561.290323&lt;br /&gt;
+         &lt;td&gt;561.290&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

2L 13s: Difference between revisions

Revision as of 22:33, 24 October 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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