19-limit
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- This revision was by author phylingual and made on 2012-07-13 14:05:14 UTC.
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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-odd limit Intervals==
||~ Ratio ||~ Cents Value ||~ Name ||
|| [[20_19|20/19]] || 88.801 || lesser undevicesimal semitone ||
|| [[17_16|19/18]] || 93.603 || greater undevicesimal semitone ||
|| [[19_17|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 ||
|| [[17_9|36/19]] || 1106.397 || lesser undevicesimal major seventh ||
|| [[17_9|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:<h2> --><h2 id="toc0"><a name="x-19-odd limit Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 --><!-- ws:start:WikiTextAnchorRule:2:<img src="/i/anchor.gif" class="WikiAnchor" alt="Anchor" id="wikitext@@anchor@@x-17-limit Intervals" title="Anchor: x-17-limit Intervals"/> --><a name="x-17-limit Intervals"></a><!-- ws:end:WikiTextAnchorRule:2 -->19-odd 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="/20_19">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="/19_17">19/17</a><br />
</td>
<td>192.558<br />
</td>
<td>undevicesimal whole tone ("meantone")<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><a class="wiki_link" href="/17_9">36/19</a><br />
</td>
<td>1106.397<br />
</td>
<td>lesser undevicesimal major seventh<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_9">19/10</a><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>