19-limit: Difference between revisions

Revision as of 09:07, 9 May 2012

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Original Wikitext content:

In 19-limit [[Just Intonation]], all ratios in the system will contain no primes higher than 19.

==[[#x-17-limit Intervals]]19-limit Intervals== 
||~ Ratio ||~ Cents Value ||~ Name ||
|| [[18_17|20/19]] || 88.801 || lesser undevicesimal semitone ||
|| [[17_16|19/18]] || 93.603 || greater undevicesimal semitone ||
|| [[17_15|19/17]] || 192.558 || undevicesimal whole tone ("meantone") ||
|| [[20_17|22/19]] || 253.805 ||   ||
|| [[17_14|19/16]] || 297.513 || undevicesimal minor third ||
|| [[22_17|24/19]] || 404.442 || lesser undevicesimal major third ||
|| [[17_13|19/15]] || 409.244 || greater undevicesimal major third ||
|| [[24_17|19/14]] || 528.687 || undevicesimal acute fourth ||
|| [[17_12|26/19]] || 543.015 || undevicesimal superfourth ||
|| [[26_17|19/13]] || 656.985 || undevicesimal subfifth ||
|| [[17_11|28/19]] || 671.313 || undevicesimal grave fifth ||
|| [[28_17|30/19]] || 790.756 || lesser undevicesimal minor sixth ||
|| [[17_10|19/12]] || 795.558 || lesser undevicesimal minor sixth ||
|| [[30_17|32/19]] || 902.487 || undevicesimal major sixth ||
|| [[32_17|19/11]] || 946.195 ||   ||
|| [[17_9|34/19]] || 1007.442 || undevicesimal minor seventh ||
|| 36/19 || 1106.397 || lesser undevicesimal major seventh ||
|| 19/10 || 1111.199 || greater undevicesimal major seventh ||

see [[Harmonic Limit]]

Original HTML content:

<html><head><title>19-limit</title></head><body>In 19-limit <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, all ratios in the system will contain no primes higher than 19.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-19-limit Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 --><!-- ws:start:WikiTextAnchorRule:2:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@x-17-limit Intervals&quot; title=&quot;Anchor: x-17-limit Intervals&quot;/&gt; --><a name="x-17-limit Intervals"></a><!-- ws:end:WikiTextAnchorRule:2 -->19-limit Intervals</h2>
 

<table class="wiki_table">
    <tr>
        <th>Ratio<br />
</th>
        <th>Cents Value<br />
</th>
        <th>Name<br />
</th>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/18_17">20/19</a><br />
</td>
        <td>88.801<br />
</td>
        <td>lesser undevicesimal semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_16">19/18</a><br />
</td>
        <td>93.603<br />
</td>
        <td>greater undevicesimal semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_15">19/17</a><br />
</td>
        <td>192.558<br />
</td>
        <td>undevicesimal whole tone (&quot;meantone&quot;)<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/20_17">22/19</a><br />
</td>
        <td>253.805<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_14">19/16</a><br />
</td>
        <td>297.513<br />
</td>
        <td>undevicesimal minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_17">24/19</a><br />
</td>
        <td>404.442<br />
</td>
        <td>lesser undevicesimal major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_13">19/15</a><br />
</td>
        <td>409.244<br />
</td>
        <td>greater undevicesimal major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/24_17">19/14</a><br />
</td>
        <td>528.687<br />
</td>
        <td>undevicesimal acute fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_12">26/19</a><br />
</td>
        <td>543.015<br />
</td>
        <td>undevicesimal superfourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/26_17">19/13</a><br />
</td>
        <td>656.985<br />
</td>
        <td>undevicesimal subfifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_11">28/19</a><br />
</td>
        <td>671.313<br />
</td>
        <td>undevicesimal grave fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_17">30/19</a><br />
</td>
        <td>790.756<br />
</td>
        <td>lesser undevicesimal minor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_10">19/12</a><br />
</td>
        <td>795.558<br />
</td>
        <td>lesser undevicesimal minor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/30_17">32/19</a><br />
</td>
        <td>902.487<br />
</td>
        <td>undevicesimal major sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_17">19/11</a><br />
</td>
        <td>946.195<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_9">34/19</a><br />
</td>
        <td>1007.442<br />
</td>
        <td>undevicesimal minor seventh<br />
</td>
    </tr>
    <tr>
        <td>36/19<br />
</td>
        <td>1106.397<br />
</td>
        <td>lesser undevicesimal major seventh<br />
</td>
    </tr>
    <tr>
        <td>19/10<br />
</td>
        <td>1111.199<br />
</td>
        <td>greater undevicesimal major seventh<br />
</td>
    </tr>
</table>

<br />
see <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></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>2012-05-09 09:03:26 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-05-09 09:07:24 UTC</tt>.<br>
-: The original revision id was <tt>332431638</tt>.<br>
+: The original revision id was <tt>332433870</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 10: / Line 10: @@
 ==[[#x-17-limit Intervals]]19-limit Intervals==
 ||~ Ratio ||~ Cents Value ||~ Name ||
-|| [[18_17|20/19]] || 88.801 || small undevicesimal semitone ||
+|| [[18_17|20/19]] || 88.801 || lesser undevicesimal semitone ||
-|| [[17_16|19/18]] || 93.603 || large undevicesimal semitone ||
+|| [[17_16|19/18]] || 93.603 || greater undevicesimal semitone ||
 || [[17_15|19/17]] || 192.558 || undevicesimal whole tone ("meantone") ||
 || [[20_17|22/19]] || 253.805 ||   ||
@@ Line 19: / Line 19: @@
 || [[24_17|19/14]] || 528.687 || undevicesimal acute fourth ||
 || [[17_12|26/19]] || 543.015 || undevicesimal superfourth ||
-|| [[26_17|19/13]] || 6 || undevicesimal subfifth ||
+|| [[26_17|19/13]] || 656.985 || undevicesimal subfifth ||
-|| [[17_11|28/19]] || 6 || undevicesimal grave fifth ||
+|| [[17_11|28/19]] || 671.313 || undevicesimal grave fifth ||
-|| [[28_17|30/19]] || 7 || lesser undevicesimal minor sixth ||
+|| [[28_17|30/19]] || 790.756 || lesser undevicesimal minor sixth ||
-|| [[17_10|19/12]] || 7 || lesser undevicesimal minor sixth ||
+|| [[17_10|19/12]] || 795.558 || lesser undevicesimal minor sixth ||
-|| [[30_17|32/19]] || 9 || undevicesimal major sixth ||
+|| [[30_17|32/19]] || 902.487 || undevicesimal major sixth ||
-|| [[32_17|19/11]] || 9 ||   ||
+|| [[32_17|19/11]] || 946.195 ||   ||
-|| [[17_9|34/19]] || 10 || undevicesimal minor seventh ||
+|| [[17_9|34/19]] || 1007.442 || undevicesimal minor seventh ||
-|| 36/19 || 11 ||   ||
+|| 36/19 || 1106.397 || lesser undevicesimal major seventh ||
-|| 19/10 || 11 ||   ||
+|| 19/10 || 1111.199 || greater undevicesimal major seventh ||
 see [[Harmonic Limit]]</pre></div>
@@ Line 50: / Line 50: @@
          &lt;td&gt;88.801&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;small undevicesimal semitone&lt;br /&gt;
+         &lt;td&gt;lesser undevicesimal semitone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 58: / Line 58: @@
          &lt;td&gt;93.603&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;large undevicesimal semitone&lt;br /&gt;
+         &lt;td&gt;greater undevicesimal semitone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 120: / Line 120: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/26_17"&gt;19/13&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6&lt;br /&gt;
+         &lt;td&gt;656.985&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;undevicesimal subfifth&lt;br /&gt;
@@ Line 128: / Line 128: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/17_11"&gt;28/19&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6&lt;br /&gt;
+         &lt;td&gt;671.313&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;undevicesimal grave fifth&lt;br /&gt;
@@ Line 136: / Line 136: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/28_17"&gt;30/19&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7&lt;br /&gt;
+         &lt;td&gt;790.756&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
@@ Line 144: / Line 144: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/17_10"&gt;19/12&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;7&lt;br /&gt;
+         &lt;td&gt;795.558&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
@@ Line 152: / Line 152: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/30_17"&gt;32/19&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9&lt;br /&gt;
+         &lt;td&gt;902.487&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;undevicesimal major sixth&lt;br /&gt;
@@ Line 160: / Line 160: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/32_17"&gt;19/11&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;9&lt;br /&gt;
+         &lt;td&gt;946.195&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 168: / Line 168: @@
          &lt;td&gt;&lt;a class="wiki_link" href="/17_9"&gt;34/19&lt;/a&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10&lt;br /&gt;
+         &lt;td&gt;1007.442&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;undevicesimal minor seventh&lt;br /&gt;
@@ Line 176: / Line 176: @@
          &lt;td&gt;36/19&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11&lt;br /&gt;
+         &lt;td&gt;1106.397&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;lesser undevicesimal major seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 184: / Line 184: @@
          &lt;td&gt;19/10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;11&lt;br /&gt;
+         &lt;td&gt;1111.199&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;greater undevicesimal major seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

19-limit: Difference between revisions

Revision as of 09:07, 9 May 2012

IMPORTED REVISION FROM WIKISPACES

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