12L 17s: Difference between revisions

Revision as of 12:30, 31 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 2015-10-31 12:30:51 UTC.

The original revision id was 564565013.

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 is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
|| 12/29 ||   ||   ||   ||   || 496.552 ||
||   ||   ||   ||   || 53/128 || 496.875 ||
||   ||   ||   || 41/99 ||   || 496.97 ||
||   ||   ||   ||   || 70/169 || 497.041 ||
||   ||   || 29/70 ||   ||   || 497.143 ||
||   ||   ||   ||   ||   || 497.211 ||
||   ||   ||   ||   || 75/181 || 497.238 ||
||   ||   ||   ||   ||   || 497.254 ||
||   ||   ||   || 46/111 ||   || 497.297 ||
||   ||   ||   ||   || 63/152 || 497.368 ||
||   || 17/41 ||   ||   ||   || 497.561 ||
||   ||   ||   ||   || 56/135 || 497.778 ||
||   ||   ||   || 39/94 ||   || 497.842 ||
||   ||   ||   ||   || 61/147 || 497.959 ||
||   ||   ||   ||   ||   || 497.985 ||
||   ||   || 22/53 ||   ||   || 498.113 ||
||   ||   ||   ||   ||   || 498.178 ||
||   ||   ||   ||   || 49/118 || 498.305 ||
||   ||   ||   || 27/65 ||   || 498.4615 ||
||   ||   ||   ||   || 32/77 || 498.701 ||
|| 5/12 ||   ||   ||   ||   || 500 ||

Original HTML content:

<html><head><title>12L 17s</title></head><body>This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of &quot;practicality&quot; and its harmonic entropy minimum of exactly 4/3.<br />


<table class="wiki_table">
    <tr>
        <td>12/29<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>496.552<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>53/128<br />
</td>
        <td>496.875<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>41/99<br />
</td>
        <td><br />
</td>
        <td>496.97<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>70/169<br />
</td>
        <td>497.041<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>29/70<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497.143<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497.211<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>75/181<br />
</td>
        <td>497.238<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497.254<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>46/111<br />
</td>
        <td><br />
</td>
        <td>497.297<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>63/152<br />
</td>
        <td>497.368<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>17/41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497.561<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>56/135<br />
</td>
        <td>497.778<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>39/94<br />
</td>
        <td><br />
</td>
        <td>497.842<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>61/147<br />
</td>
        <td>497.959<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>497.985<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/53<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>498.113<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>498.178<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>49/118<br />
</td>
        <td>498.305<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>27/65<br />
</td>
        <td><br />
</td>
        <td>498.4615<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>32/77<br />
</td>
        <td>498.701<br />
</td>
    </tr>
    <tr>
        <td>5/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>500<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 14:55:50 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-31 12:30:51 UTC</tt>.<br>
-: The original revision id was <tt>552018370</tt>.<br>
+: The original revision id was <tt>564565013</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 which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
-|| 12/29 ||   ||   ||   ||   || 496 16/29 ||
+|| 12/29 ||   ||   ||   ||   || 496.552 ||
 ||   ||   ||   ||   || 53/128 || 496.875 ||
-||   ||   ||   || 41/99 ||   || 496 32/99 ||
+||   ||   ||   || 41/99 ||   || 496.97 ||
-||   ||   ||   ||   || 70/169 || 497 7/169 ||
+||   ||   ||   ||   || 70/169 || 497.041 ||
-||   ||   || 29/70 ||   ||   || 497 1/7 ||
+||   ||   || 29/70 ||   ||   || 497.143 ||
-||   ||   ||   ||   || 75/181 || 497 43/181 ||
+||   ||   ||   ||   ||   || 497.211 ||
-||   ||   ||   || 46/111 ||   || 497 11/37 ||
+||   ||   ||   ||   || 75/181 || 497.238 ||
-||   ||   ||   ||   || 63/152 || 497 7/19 ||
+||   ||   ||   ||   ||   || 497.254 ||
-||   || 17/41 ||   ||   ||   || 497 23/41 ||
+||   ||   ||   || 46/111 ||   || 497.297 ||
-||   ||   ||   ||   || 56/135 || 497 7/9 ||
+||   ||   ||   ||   || 63/152 || 497.368 ||
-||   ||   ||   || 39/94 ||   || 497 41/47 ||
+||   || 17/41 ||   ||   ||   || 497.561 ||
-||   ||   ||   ||   || 61/147 || 497 47/49 ||
+||   ||   ||   ||   || 56/135 || 497.778 ||
-||   ||   ||   ||   ||   || 497.9846545 ||
+||   ||   ||   || 39/94 ||   || 497.842 ||
-||   ||   || 22/53 ||   ||   || 498 6/53 ||
+||   ||   ||   ||   || 61/147 || 497.959 ||
-||   ||   ||   ||   ||   || 498.171817 ||
+||   ||   ||   ||   ||   || 497.985 ||
-||   ||   ||   ||   || 49/118 || 498 18/59 ||
+||   ||   || 22/53 ||   ||   || 498.113 ||
-||   ||   ||   || 27/65 ||   || 498 6/13 ||
+||   ||   ||   ||   ||   || 498.178 ||
-||   ||   ||   ||   || 32/77 || 498 54/77 ||
+||   ||   ||   ||   || 49/118 || 498.305 ||
+||   ||   ||   || 27/65 ||   || 498.4615 ||
+||   ||   ||   ||   || 32/77 || 498.701 ||
 || 5/12 ||   ||   ||   ||   || 500 ||</pre></div>
 <h4>Original HTML content:</h4>
@@ Line 42: / Line 44: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;496 16/29&lt;br /&gt;
+         &lt;td&gt;496.552&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;496 32/99&lt;br /&gt;
+         &lt;td&gt;496.97&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 84: / Line 86: @@
          &lt;td&gt;70/169&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 7/169&lt;br /&gt;
+         &lt;td&gt;497.041&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;497 1/7&lt;br /&gt;
+         &lt;td&gt;497.143&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;497.211&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 112: / Line 128: @@
          &lt;td&gt;75/181&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 43/181&lt;br /&gt;
+         &lt;td&gt;497.238&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;497.254&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 126: / Line 156: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 11/37&lt;br /&gt;
+         &lt;td&gt;497.297&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 140: / Line 170: @@
          &lt;td&gt;63/152&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 7/19&lt;br /&gt;
+         &lt;td&gt;497.368&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 154: / Line 184: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 23/41&lt;br /&gt;
+         &lt;td&gt;497.561&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 168: / Line 198: @@
          &lt;td&gt;56/135&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 7/9&lt;br /&gt;
+         &lt;td&gt;497.778&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 182: / Line 212: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 41/47&lt;br /&gt;
+         &lt;td&gt;497.842&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 196: / Line 226: @@
          &lt;td&gt;61/147&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497 47/49&lt;br /&gt;
+         &lt;td&gt;497.959&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 210: / Line 240: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;497.9846545&lt;br /&gt;
+         &lt;td&gt;497.985&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 224: / Line 254: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;498 6/53&lt;br /&gt;
+         &lt;td&gt;498.113&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 238: / Line 268: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;498.171817&lt;br /&gt;
+         &lt;td&gt;498.178&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 252: / Line 282: @@
          &lt;td&gt;49/118&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;498 18/59&lt;br /&gt;
+         &lt;td&gt;498.305&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;498 6/13&lt;br /&gt;
+         &lt;td&gt;498.4615&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 280: / Line 310: @@
          &lt;td&gt;32/77&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;498 54/77&lt;br /&gt;
+         &lt;td&gt;498.701&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

12L 17s: Difference between revisions

Revision as of 12:30, 31 October 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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