18edt: Difference between revisions

Revision as of 00:42, 12 September 2016

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 2016-09-12 00:42:04 UTC.

The original revision id was 591641538.

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:

18edt means the division of the tritave into 18 equal parts <span style="background-color: rgba(255,255,255,0);">of size 105.664 cents each. It has a decent 7 and an excellent 13, but a 5 which is 39 cents flat; if octaves were added and it was a sixth, it would count as a neutral sixth. The corresponding 5/3 is 845 cents, which is a neutral sixth between 8/5 and 5/3, which is really more of a 13/8, though this is allegedly a no-twos tuning. With octaves added, it also has a minor third and a major tenth which are both excellent as well as a minor thirteenth and major seventeenth which are still decent even though it skips actual octaves (in fact it is the non-octave semitone scale of 34edo). On the 3.7.13 subgroup it tempers out 351/343 and 2197/2187.</span>

<span style="background-color: rgba(255,255,255,0);">As the double of [[@9edt]], it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like [[@8edt]], is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.</span>

<span style="background-color: rgba(255,255,255,0);">0: 1/1</span>
<span style="background-color: rgba(255,255,255,0);">1: 105.664 cents 16/15</span>
<span style="background-color: rgba(255,255,255,0);">2: 211.328 cents 9/8</span>
3: 316.993 cents 6/5
<span style="background-color: rgba(255,255,255,0);">4: 422.657 cents 9/7</span>
5: 528.321 cents 27/20
<span style="background-color: rgba(255,255,255,0);">6: 633.985 cents 13/9</span>
7: 739.649 cents 17/13
<span style="background-color: rgba(255,255,255,0);">8: 845.313 cents 5/3</span>
9: 950.9775 cents 19/11
<span style="background-color: rgba(255,255,255,0);">10: 1056.642 cents 9/5</span>
11: 1162.306 cents 49/25
<span style="background-color: rgba(255,255,255,0);">12: 1267.970 cents 27/13</span>
13: 1373.634 cents 20/9
<span style="background-color: rgba(255,255,255,0);">14: 1479.298 cents 7/3</span>
15: 1584.963 cents 5/2
<span style="background-color: rgba(255,255,255,0);">16: 1690.627 cents 8/3</span>
17: 1806.2905 cents 45/16
<span style="background-color: rgba(255,255,255,0);">18: 3/1</span>

Original HTML content:

<html><head><title>18edt</title></head><body>18edt means the division of the tritave into 18 equal parts <span style="background-color: rgba(255,255,255,0);">of size 105.664 cents each. It has a decent 7 and an excellent 13, but a 5 which is 39 cents flat; if octaves were added and it was a sixth, it would count as a neutral sixth. The corresponding 5/3 is 845 cents, which is a neutral sixth between 8/5 and 5/3, which is really more of a 13/8, though this is allegedly a no-twos tuning. With octaves added, it also has a minor third and a major tenth which are both excellent as well as a minor thirteenth and major seventeenth which are still decent even though it skips actual octaves (in fact it is the non-octave semitone scale of 34edo). On the 3.7.13 subgroup it tempers out 351/343 and 2197/2187.</span><br />
<br />
<span style="background-color: rgba(255,255,255,0);">As the double of <a class="wiki_link" href="/9edt" target="_blank">9edt</a>, it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like <a class="wiki_link" href="/8edt" target="_blank">8edt</a>, is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.</span><br />
<br />
<span style="background-color: rgba(255,255,255,0);">0: 1/1</span><br />
<span style="background-color: rgba(255,255,255,0);">1: 105.664 cents 16/15</span><br />
<span style="background-color: rgba(255,255,255,0);">2: 211.328 cents 9/8</span><br />
3: 316.993 cents 6/5<br />
<span style="background-color: rgba(255,255,255,0);">4: 422.657 cents 9/7</span><br />
5: 528.321 cents 27/20<br />
<span style="background-color: rgba(255,255,255,0);">6: 633.985 cents 13/9</span><br />
7: 739.649 cents 17/13<br />
<span style="background-color: rgba(255,255,255,0);">8: 845.313 cents 5/3</span><br />
9: 950.9775 cents 19/11<br />
<span style="background-color: rgba(255,255,255,0);">10: 1056.642 cents 9/5</span><br />
11: 1162.306 cents 49/25<br />
<span style="background-color: rgba(255,255,255,0);">12: 1267.970 cents 27/13</span><br />
13: 1373.634 cents 20/9<br />
<span style="background-color: rgba(255,255,255,0);">14: 1479.298 cents 7/3</span><br />
15: 1584.963 cents 5/2<br />
<span style="background-color: rgba(255,255,255,0);">16: 1690.627 cents 8/3</span><br />
17: 1806.2905 cents 45/16<br />
<span style="background-color: rgba(255,255,255,0);">18: 3/1</span></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>2016-09-12 00:24:27 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-12 00:42:04 UTC</tt>.<br>
-: The original revision id was <tt>591641042</tt>.<br>
+: The original revision id was <tt>591641538</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 9: / Line 9: @@
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;As the double of [[@9edt]], it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like [[@8edt]], is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.&lt;/span&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;0: 1/1&lt;/span&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;1: 105.664 cents 16/15&lt;/span&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;2: 211.328 cents 9/8&lt;/span&gt;
+: 316.993 cents 6/5
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;4: 422.657 cents 9/7&lt;/span&gt;
+: 528.321 cents 27/20
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;6: 633.985 cents 13/9&lt;/span&gt;
+: 739.649 cents 17/13
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;8: 845.313 cents 5/3&lt;/span&gt;
+: 950.9775 cents 19/11
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;10: 1056.642 cents 9/5&lt;/span&gt;
+: 1162.306 cents 49/25
-&lt;span style="background-color: rgba(255,255,255,0);"&gt;12: 1267.970 cents&lt;/span&gt;
+&lt;span style="background-color: rgba(255,255,255,0);"&gt;12: 1267.970 cents 27/13&lt;/span&gt;
+: 1373.634 cents 20/9
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;14: 1479.298 cents 7/3&lt;/span&gt;
+: 1584.963 cents 5/2
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;16: 1690.627 cents 8/3&lt;/span&gt;
+: 1806.2905 cents 45/16
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;18: 3/1&lt;/span&gt;</pre></div>
 <h4>Original HTML content:</h4>
@@ Line 35: / Line 33: @@
 &lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;As the double of &lt;a class="wiki_link" href="/9edt" target="_blank"&gt;9edt&lt;/a&gt;, it is the analog of 14edo insofar as it has a doubled harmonic chain. However, it, like &lt;a class="wiki_link" href="/8edt" target="_blank"&gt;8edt&lt;/a&gt;, is not schismatic because 3:5:7 is a redundant chord. As a multiple of 9edt, it is the widest variety of 'White-Extraterrestrial-Tree' temperament.&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;0: 1/1&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;1: 105.664 cents 16/15&lt;/span&gt;&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;2: 211.328 cents 9/8&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 316.993 cents 6/5&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;4: 422.657 cents 9/7&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 528.321 cents 27/20&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;6: 633.985 cents 13/9&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 739.649 cents 17/13&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;8: 845.313 cents 5/3&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 950.9775 cents 19/11&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;10: 1056.642 cents 9/5&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 1162.306 cents 49/25&lt;br /&gt;
-&lt;span style="background-color: rgba(255,255,255,0);"&gt;12: 1267.970 cents&lt;/span&gt;&lt;br /&gt;
+&lt;span style="background-color: rgba(255,255,255,0);"&gt;12: 1267.970 cents 27/13&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 1373.634 cents 20/9&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;14: 1479.298 cents 7/3&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 1584.963 cents 5/2&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;16: 1690.627 cents 8/3&lt;/span&gt;&lt;br /&gt;
-&lt;br /&gt;
+: 1806.2905 cents 45/16&lt;br /&gt;
 &lt;span style="background-color: rgba(255,255,255,0);"&gt;18: 3/1&lt;/span&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

18edt: Difference between revisions

Revision as of 00:42, 12 September 2016

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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