17-limit
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Original Wikitext content:
In 17-limit [[Just Intonation]], all ratios in the system will contain no primes higher than 17. The 17-limit adds to the [[13-limit]] a "minor ninth" of about 105¢ -- [[17_16|17/16]] -- and several other intervals between the 17th overtone and the lower ones. ==17-limit Intervals== ||~ Ratio ||~ Cents Value ||~ Name || || [[18_17|18/17]] || 98.955 || small septendecimal semitone || || [[17_16|17/16]] || 104.955 || large septendecimal semitone || || [[17_15|17/15]] || 216.687 || septendecimal whole tone || || [[20_17|20/17]] || 281.358 || septendecimal minor third || || [[17_14|17/14]] || 336.130 || septendecimal supraminor third || || [[21_17|21/17]] || 365.825 || septendecimal submajor third || || [[22_17|22/17]] || 446.363 || septendecimal supermajor third || || [[17_13|17/13]] || 464.428 || septendecimal sub-fourth || || [[24_17|24/17]] || 597.000 || 1st septendecimal tritone || || [[17_12|17/12]] || 603.000 || 2nd septendecimal tritone || || [[26_17|26/17]] || 735.572 || septendecimal super-fifth || || [[17_11|17/11]] || 753.637 || septendecimal subminor sixth || || [[28_17|28/17]] || 863.870 || septendecimal submajor sixth || || [[17_10|17/10]] || 918.642 || septendecimal major sixth || || [[30_17|30/17]] || 983.313 || septendecimal minor seventh || || [[32_17|32/17]] || 1095.045 || small septendecimal major seventh || || [[17_9|17/9]] || 1101.045 || large septendecimal major seventh || see [[Harmonic Limit]], [[seventeen limit tetrads]]
Original HTML content:
<html><head><title>17-limit</title></head><body>In 17-limit <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, all ratios in the system will contain no primes higher than 17. The 17-limit adds to the <a class="wiki_link" href="/13-limit">13-limit</a> a "minor ninth" of about 105¢ -- <a class="wiki_link" href="/17_16">17/16</a> -- and several other intervals between the 17th overtone and the lower ones.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-17-limit Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->17-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">18/17</a><br />
</td>
<td>98.955<br />
</td>
<td>small septendecimal semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_16">17/16</a><br />
</td>
<td>104.955<br />
</td>
<td>large septendecimal semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_15">17/15</a><br />
</td>
<td>216.687<br />
</td>
<td>septendecimal whole tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/20_17">20/17</a><br />
</td>
<td>281.358<br />
</td>
<td>septendecimal minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_14">17/14</a><br />
</td>
<td>336.130<br />
</td>
<td>septendecimal supraminor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/21_17">21/17</a><br />
</td>
<td>365.825<br />
</td>
<td>septendecimal submajor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/22_17">22/17</a><br />
</td>
<td>446.363<br />
</td>
<td>septendecimal supermajor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_13">17/13</a><br />
</td>
<td>464.428<br />
</td>
<td>septendecimal sub-fourth<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/24_17">24/17</a><br />
</td>
<td>597.000<br />
</td>
<td>1st septendecimal tritone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_12">17/12</a><br />
</td>
<td>603.000<br />
</td>
<td>2nd septendecimal tritone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/26_17">26/17</a><br />
</td>
<td>735.572<br />
</td>
<td>septendecimal super-fifth<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_11">17/11</a><br />
</td>
<td>753.637<br />
</td>
<td>septendecimal subminor sixth<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/28_17">28/17</a><br />
</td>
<td>863.870<br />
</td>
<td>septendecimal submajor sixth<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_10">17/10</a><br />
</td>
<td>918.642<br />
</td>
<td>septendecimal major sixth<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/30_17">30/17</a><br />
</td>
<td>983.313<br />
</td>
<td>septendecimal minor seventh<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/32_17">32/17</a><br />
</td>
<td>1095.045<br />
</td>
<td>small septendecimal major seventh<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_9">17/9</a><br />
</td>
<td>1101.045<br />
</td>
<td>large septendecimal major seventh<br />
</td>
</tr>
</table>
<br />
see <a class="wiki_link" href="/Harmonic%20Limit">Harmonic Limit</a>, <a class="wiki_link" href="/seventeen%20limit%20tetrads">seventeen limit tetrads</a></body></html>