19-limit: Difference between revisions
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This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:guest|guest]] and made on <tt>2012-05-09 08:56:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>332427594</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">see [[Harmonic Limit]]</pre></div> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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 septendecimal semitone || | |||
|| [[17_16|19/18]] || 93.603 || large septendecimal semitone || | |||
|| [[17_15|19/17]] || 192.558 || septendecimal whole tone || | |||
|| [[20_17|22/19]] || 253.805 || septendecimal minor third || | |||
|| [[17_14|19/16]] || 297.513 || septendecimal supraminor third || | |||
|| [[22_17|24/19]] || 404.442 || septendecimal supermajor third || | |||
|| [[17_13|19/15]] || 409.244 || septendecimal sub-fourth || | |||
|| [[24_17|19/14]] || 528.687 || 1st septendecimal tritone || | |||
|| [[17_12|26/19]] || 543.015 || 2nd septendecimal tritone || | |||
|| [[26_17|19/13]] || 6 || septendecimal super-fifth || | |||
|| [[17_11|28/19]] || 6 || septendecimal subminor sixth || | |||
|| [[28_17|30/19]] || 7 || septendecimal submajor sixth || | |||
|| [[17_10|19/12]] || 7 || septendecimal major sixth || | |||
|| [[30_17|32/19]] || 9 || septendecimal minor seventh || | |||
|| [[32_17|19/11]] || 9 || small septendecimal major seventh || | |||
|| [[17_9|34/19]] || 10 || large septendecimal major seventh || | |||
|| 36/19 || 11 || || | |||
|| 19/10 || 11 || || | |||
see [[Harmonic Limit]]</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>19-limit</title></head><body>see <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a></body></html></pre></div> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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 septendecimal 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 septendecimal semitone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_15">19/17</a><br /> | |||
</td> | |||
<td>192.558<br /> | |||
</td> | |||
<td>septendecimal whole tone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/20_17">22/19</a><br /> | |||
</td> | |||
<td>253.805<br /> | |||
</td> | |||
<td>septendecimal minor third<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_14">19/16</a><br /> | |||
</td> | |||
<td>297.513<br /> | |||
</td> | |||
<td>septendecimal supraminor third<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/22_17">24/19</a><br /> | |||
</td> | |||
<td>404.442<br /> | |||
</td> | |||
<td>septendecimal supermajor third<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_13">19/15</a><br /> | |||
</td> | |||
<td>409.244<br /> | |||
</td> | |||
<td>septendecimal sub-fourth<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/24_17">19/14</a><br /> | |||
</td> | |||
<td>528.687<br /> | |||
</td> | |||
<td>1st septendecimal tritone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_12">26/19</a><br /> | |||
</td> | |||
<td>543.015<br /> | |||
</td> | |||
<td>2nd septendecimal tritone<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/26_17">19/13</a><br /> | |||
</td> | |||
<td>6<br /> | |||
</td> | |||
<td>septendecimal super-fifth<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_11">28/19</a><br /> | |||
</td> | |||
<td>6<br /> | |||
</td> | |||
<td>septendecimal subminor sixth<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/28_17">30/19</a><br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
<td>septendecimal submajor sixth<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_10">19/12</a><br /> | |||
</td> | |||
<td>7<br /> | |||
</td> | |||
<td>septendecimal major sixth<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/30_17">32/19</a><br /> | |||
</td> | |||
<td>9<br /> | |||
</td> | |||
<td>septendecimal minor seventh<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/32_17">19/11</a><br /> | |||
</td> | |||
<td>9<br /> | |||
</td> | |||
<td>small septendecimal major seventh<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/17_9">34/19</a><br /> | |||
</td> | |||
<td>10<br /> | |||
</td> | |||
<td>large septendecimal major 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></pre></div> | |||