3L 13s: Difference between revisions

Revision as of 16:22, 26 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 2015-10-26 16:22:03 UTC.

The original revision id was 563981139.

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, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents).
|| 1/3 ||   ||   ||   ||   ||   || 0 || 0 ||
||   ||   ||   ||   || 9/28 ||   || 171.429 || 214.286 ||
||   ||   ||   ||   ||   || 17/53 || 181.132 || 226.415 ||
||   ||   ||   || 8/25 ||   ||   || 192 || 240 ||
||   ||   ||   ||   ||   || 23/72 || 200 || 250 ||
||   ||   ||   ||   || 15/47 ||   || 204.255 || 255.319 ||
||   ||   ||   ||   ||   || 22/69 || 208.696 || 260.87 ||
||   ||   ||   ||   ||   ||   || 214.049 || 267.561 ||
||   ||   || 7/22 ||   ||   ||   || 218.182 || 272.727 ||
||   ||   ||   ||   ||   || 27/85 || 225.882 || 282.353 ||
||   ||   ||   ||   ||   ||   || 226.898 || 283.623 ||
||   ||   ||   ||   || 20/63 ||   || 228.571 || 285.714 ||
||   ||   ||   ||   ||   ||   || 230.1705 || 287.713 ||
||   ||   ||   ||   ||   || 33/104 || 230.769 || 288.4615 ||
||   ||   ||   || 13/41 ||   ||   || 234.146 || 292.683 ||
||   ||   ||   ||   ||   || 32/101 || 237.624 || 297.03 ||
||   ||   ||   ||   || 19/60 ||   || 240 || 300 ||
||   ||   ||   ||   ||   || 25/79 || 243.038 || 303.7975 ||
||   || 6/19 ||   ||   ||   ||   || 252.632 || 315.789 ||
||   ||   ||   ||   ||   || 29/92 || 260.87 || 326.087 ||
||   ||   ||   ||   || 23/73 ||   || 263.014 || 328.767 ||
||   ||   ||   ||   ||   || 40/127 || 264.567 || 330.709 ||
||   ||   ||   || 17/54 ||   ||   || 266.667 || 333.333 ||
||   ||   ||   ||   ||   || 45/143 || 264.828 || 331.034 ||
||   ||   ||   ||   ||   ||   || 268.846 || 336.057 ||
||   ||   ||   ||   || 28/89 ||   || 269.663 || 337.079 ||
||   ||   ||   ||   ||   || 39/124 || 270.968 || 338.71 ||
||   ||   ||   ||   ||   ||   || 270.997 || 338.746 ||
||   ||   || 11/35 ||   ||   ||   || 274.286 || 342.857 ||
||   ||   ||   ||   ||   || 38/121 || 277.686 || 347.107 ||
||   ||   ||   ||   || 27/86 ||   || 279.07 || 348.837 ||
||   ||   ||   ||   ||   || 43/137 || 280.292 || 350.365 ||
||   ||   ||   || 16/51 ||   ||   || 282.353 || 352.941 ||
||   ||   ||   ||   ||   || 37/118 || 284.746 || 355.932 ||
||   ||   ||   ||   || 21/67 ||   || 286.567 || 358.209 ||
|| 5/16 ||   ||   ||   ||   ||   || 300 || 375 ||

Original HTML content:

<html><head><title>3L 13s</title></head><body>This MOS, having its large steps separated by intervals of 4s, 4s and 5s; is the quasi-enharmonic scale of Magic temperament. It is also the smallest MOS which is ideal for composing melodies in Magic temperament, owing to the fact that the optimal generator range for it is the range where Magic temperament is tuned most accurately (6/19edo to 7/22edo); and is generated by a small major third no smaller than 5/16edo (375 cents).<br />


<table class="wiki_table">
    <tr>
        <td>1/3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>9/28<br />
</td>
        <td><br />
</td>
        <td>171.429<br />
</td>
        <td>214.286<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17/53<br />
</td>
        <td>181.132<br />
</td>
        <td>226.415<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8/25<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>192<br />
</td>
        <td>240<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/72<br />
</td>
        <td>200<br />
</td>
        <td>250<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>15/47<br />
</td>
        <td><br />
</td>
        <td>204.255<br />
</td>
        <td>255.319<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>22/69<br />
</td>
        <td>208.696<br />
</td>
        <td>260.87<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>214.049<br />
</td>
        <td>267.561<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7/22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>218.182<br />
</td>
        <td>272.727<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>27/85<br />
</td>
        <td>225.882<br />
</td>
        <td>282.353<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>226.898<br />
</td>
        <td>283.623<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>20/63<br />
</td>
        <td><br />
</td>
        <td>228.571<br />
</td>
        <td>285.714<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>230.1705<br />
</td>
        <td>287.713<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>33/104<br />
</td>
        <td>230.769<br />
</td>
        <td>288.4615<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13/41<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>234.146<br />
</td>
        <td>292.683<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>32/101<br />
</td>
        <td>237.624<br />
</td>
        <td>297.03<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>19/60<br />
</td>
        <td><br />
</td>
        <td>240<br />
</td>
        <td>300<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>25/79<br />
</td>
        <td>243.038<br />
</td>
        <td>303.7975<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6/19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>252.632<br />
</td>
        <td>315.789<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>29/92<br />
</td>
        <td>260.87<br />
</td>
        <td>326.087<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>23/73<br />
</td>
        <td><br />
</td>
        <td>263.014<br />
</td>
        <td>328.767<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>40/127<br />
</td>
        <td>264.567<br />
</td>
        <td>330.709<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>17/54<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>266.667<br />
</td>
        <td>333.333<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>45/143<br />
</td>
        <td>264.828<br />
</td>
        <td>331.034<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>268.846<br />
</td>
        <td>336.057<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>28/89<br />
</td>
        <td><br />
</td>
        <td>269.663<br />
</td>
        <td>337.079<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>39/124<br />
</td>
        <td>270.968<br />
</td>
        <td>338.71<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>270.997<br />
</td>
        <td>338.746<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11/35<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>274.286<br />
</td>
        <td>342.857<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>38/121<br />
</td>
        <td>277.686<br />
</td>
        <td>347.107<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>27/86<br />
</td>
        <td><br />
</td>
        <td>279.07<br />
</td>
        <td>348.837<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>43/137<br />
</td>
        <td>280.292<br />
</td>
        <td>350.365<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>16/51<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>282.353<br />
</td>
        <td>352.941<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>37/118<br />
</td>
        <td>284.746<br />
</td>
        <td>355.932<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>21/67<br />
</td>
        <td><br />
</td>
        <td>286.567<br />
</td>
        <td>358.209<br />
</td>
    </tr>
    <tr>
        <td>5/16<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300<br />
</td>
        <td>375<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:guest|guest]] and made on <tt>2013-01-03 09:59:30 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-10-26 16:22:03 UTC</tt>.<br>
-: The original revision id was <tt>395565156</tt>.<br>
+: The original revision id was <tt>563981139</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 14: / Line 14: @@
 ||   ||   ||   ||   || 15/47 ||   || 204.255 || 255.319 ||
 ||   ||   ||   ||   ||   || 22/69 || 208.696 || 260.87 ||
+||   ||   ||   ||   ||   ||   || 214.049 || 267.561 ||
 ||   ||   || 7/22 ||   ||   ||   || 218.182 || 272.727 ||
 ||   ||   ||   ||   ||   || 27/85 || 225.882 || 282.353 ||
+||   ||   ||   ||   ||   ||   || 226.898 || 283.623 ||
 ||   ||   ||   ||   || 20/63 ||   || 228.571 || 285.714 ||
+||   ||   ||   ||   ||   ||   || 230.1705 || 287.713 ||
 ||   ||   ||   ||   ||   || 33/104 || 230.769 || 288.4615 ||
 ||   ||   ||   || 13/41 ||   ||   || 234.146 || 292.683 ||
@@ Line 28: / Line 31: @@
 ||   ||   ||   || 17/54 ||   ||   || 266.667 || 333.333 ||
 ||   ||   ||   ||   ||   || 45/143 || 264.828 || 331.034 ||
+||   ||   ||   ||   ||   ||   || 268.846 || 336.057 ||
 ||   ||   ||   ||   || 28/89 ||   || 269.663 || 337.079 ||
 ||   ||   ||   ||   ||   || 39/124 || 270.968 || 338.71 ||
+||   ||   ||   ||   ||   ||   || 270.997 || 338.746 ||
 ||   ||   || 11/35 ||   ||   ||   || 274.286 || 342.857 ||
 ||   ||   ||   ||   ||   || 38/121 || 277.686 || 347.107 ||
@@ Line 167: / Line 172: @@
 &lt;/td&gt;
          &lt;td&gt;260.87&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;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;214.049&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;267.561&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 203: / Line 226: @@
 &lt;/td&gt;
          &lt;td&gt;282.353&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;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;226.898&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;283.623&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 221: / Line 262: @@
 &lt;/td&gt;
          &lt;td&gt;285.714&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;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;230.1705&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;287.713&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 419: / Line 478: @@
 &lt;/td&gt;
          &lt;td&gt;331.034&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;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;268.846&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;336.057&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 455: / Line 532: @@
 &lt;/td&gt;
          &lt;td&gt;338.71&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;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;270.997&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;338.746&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

3L 13s: Difference between revisions

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