19-limit: Difference between revisions

Revision as of 09:03, 9 May 2012

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This revision was by author guest and made on 2012-05-09 09:03:26 UTC.

The original revision id was 332431638.

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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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 || small undevicesimal semitone ||
|| [[17_16|19/18]] || 93.603 || large 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]] || 6 || undevicesimal subfifth ||
|| [[17_11|28/19]] || 6 || undevicesimal grave fifth ||
|| [[28_17|30/19]] || 7 || lesser undevicesimal minor sixth ||
|| [[17_10|19/12]] || 7 || lesser undevicesimal minor sixth ||
|| [[30_17|32/19]] || 9 || undevicesimal major sixth ||
|| [[32_17|19/11]] || 9 ||   ||
|| [[17_9|34/19]] || 10 || undevicesimal minor seventh ||
|| 36/19 || 11 ||   ||
|| 19/10 || 11 ||   ||

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>small 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>large 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>6<br />
</td>
        <td>undevicesimal subfifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_11">28/19</a><br />
</td>
        <td>6<br />
</td>
        <td>undevicesimal grave fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_17">30/19</a><br />
</td>
        <td>7<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>7<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>9<br />
</td>
        <td>undevicesimal major sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_17">19/11</a><br />
</td>
        <td>9<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_9">34/19</a><br />
</td>
        <td>10<br />
</td>
        <td>undevicesimal minor seventh<br />
</td>
    </tr>
    <tr>
        <td>36/19<br />
</td>
        <td>11<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>19/10<br />
</td>
        <td>11<br />
</td>
        <td><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 08:56:09 UTC</tt>.<br>
+: This revision was by author [[User:guest|guest]] and made on <tt>2012-05-09 09:03:26 UTC</tt>.<br>
-: The original revision id was <tt>332427594</tt>.<br>
+: The original revision id was <tt>332431638</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 septendecimal semitone ||
+|| [[18_17|20/19]] || 88.801 || small undevicesimal semitone ||
-|| [[17_16|19/18]] || 93.603 || large septendecimal semitone ||
+|| [[17_16|19/18]] || 93.603 || large undevicesimal semitone ||
-|| [[17_15|19/17]] || 192.558 || septendecimal whole tone ||
+|| [[17_15|19/17]] || 192.558 || undevicesimal whole tone ("meantone") ||
-|| [[20_17|22/19]] || 253.805 || septendecimal minor third ||
+|| [[20_17|22/19]] || 253.805 ||   ||
-|| [[17_14|19/16]] || 297.513 || septendecimal supraminor third ||
+|| [[17_14|19/16]] || 297.513 || undevicesimal minor third ||
-|| [[22_17|24/19]] || 404.442 || septendecimal supermajor third ||
+|| [[22_17|24/19]] || 404.442 || lesser undevicesimal major third ||
-|| [[17_13|19/15]] || 409.244 || septendecimal sub-fourth ||
+|| [[17_13|19/15]] || 409.244 || greater undevicesimal major third ||
-|| [[24_17|19/14]] || 528.687 || 1st septendecimal tritone ||
+|| [[24_17|19/14]] || 528.687 || undevicesimal acute fourth ||
-|| [[17_12|26/19]] || 543.015 || 2nd septendecimal tritone ||
+|| [[17_12|26/19]] || 543.015 || undevicesimal superfourth ||
-|| [[26_17|19/13]] || 6 || septendecimal super-fifth ||
+|| [[26_17|19/13]] || 6 || undevicesimal subfifth ||
-|| [[17_11|28/19]] || 6 || septendecimal subminor sixth ||
+|| [[17_11|28/19]] || 6 || undevicesimal grave fifth ||
-|| [[28_17|30/19]] || 7 || septendecimal submajor sixth ||
+|| [[28_17|30/19]] || 7 || lesser undevicesimal minor sixth ||
-|| [[17_10|19/12]] || 7 || septendecimal major sixth ||
+|| [[17_10|19/12]] || 7 || lesser undevicesimal minor sixth ||
-|| [[30_17|32/19]] || 9 || septendecimal minor seventh ||
+|| [[30_17|32/19]] || 9 || undevicesimal major sixth ||
-|| [[32_17|19/11]] || 9 || small septendecimal major seventh ||
+|| [[32_17|19/11]] || 9 ||   ||
-|| [[17_9|34/19]] || 10 || large septendecimal major seventh ||
+|| [[17_9|34/19]] || 10 || undevicesimal minor seventh ||
 || 36/19 || 11 ||   ||
 || 19/10 || 11 ||   ||
@@ Line 50: / Line 50: @@
          &lt;td&gt;88.801&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;small septendecimal semitone&lt;br /&gt;
+         &lt;td&gt;small 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 septendecimal semitone&lt;br /&gt;
+         &lt;td&gt;large undevicesimal semitone&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 66: / Line 66: @@
          &lt;td&gt;192.558&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal whole tone&lt;br /&gt;
+         &lt;td&gt;undevicesimal whole tone (&amp;quot;meantone&amp;quot;)&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 74: / Line 74: @@
          &lt;td&gt;253.805&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal minor third&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 82: / Line 82: @@
          &lt;td&gt;297.513&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal supraminor third&lt;br /&gt;
+         &lt;td&gt;undevicesimal minor third&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 90: / Line 90: @@
          &lt;td&gt;404.442&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal supermajor third&lt;br /&gt;
+         &lt;td&gt;lesser undevicesimal major third&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 98: / Line 98: @@
          &lt;td&gt;409.244&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal sub-fourth&lt;br /&gt;
+         &lt;td&gt;greater undevicesimal major third&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 106: / Line 106: @@
          &lt;td&gt;528.687&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1st septendecimal tritone&lt;br /&gt;
+         &lt;td&gt;undevicesimal acute fourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 114: / Line 114: @@
          &lt;td&gt;543.015&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;2nd septendecimal tritone&lt;br /&gt;
+         &lt;td&gt;undevicesimal superfourth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 122: / Line 122: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal super-fifth&lt;br /&gt;
+         &lt;td&gt;undevicesimal subfifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 130: / Line 130: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal subminor sixth&lt;br /&gt;
+         &lt;td&gt;undevicesimal grave fifth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 138: / Line 138: @@
          &lt;td&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal submajor sixth&lt;br /&gt;
+         &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 146: / Line 146: @@
          &lt;td&gt;7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal major sixth&lt;br /&gt;
+         &lt;td&gt;lesser undevicesimal minor sixth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 154: / Line 154: @@
          &lt;td&gt;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;septendecimal minor seventh&lt;br /&gt;
+         &lt;td&gt;undevicesimal major sixth&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 162: / Line 162: @@
          &lt;td&gt;9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;small septendecimal major seventh&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 170: / Line 170: @@
          &lt;td&gt;10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;large septendecimal major seventh&lt;br /&gt;
+         &lt;td&gt;undevicesimal minor seventh&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

19-limit: Difference between revisions

Revision as of 09:03, 9 May 2012

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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