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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | In 17-limit [[Just_intonation|Just Intonation]], all ratios in the system will contain no primes higher than 17. The 17-limit adds to the [[13-limit|13-limit]] a "minor ninth" of about 105¢ -- [[17/16|17/16]] -- and several other intervals between the 17th overtone and the lower ones. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-12 20:11:48 UTC</tt>.<br>
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| : The original revision id was <tt>334260510</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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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.<br>
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| <h4>Original Wikitext content:</h4>
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| <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 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.
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| ==17-limit Intervals== | | ==17-limit Intervals== |
| ||~ Ratio ||~ Cents Value ||~ Name ||
| |
| || [[18_17|18/17]] || 98.955 || small septendecimal semitone ||
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| || [[17_16|17/16]] || 104.955 || large septendecimal semitone ||
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| || [[17_15|17/15]] || 216.687 || septendecimal whole tone ||
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| || [[20_17|20/17]] || 281.358 || septendecimal minor third ||
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| || [[17_14|17/14]] || 336.130 || septendecimal supraminor third ||
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| || [[21_17|21/17]] || 365.825 || septendecimal submajor third ||
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| || [[22_17|22/17]] || 446.363 || septendecimal supermajor third ||
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| || [[17_13|17/13]] || 464.428 || septendecimal sub-fourth ||
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| || [[24_17|24/17]] || 597.000 || 1st septendecimal tritone ||
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| || [[17_12|17/12]] || 603.000 || 2nd septendecimal tritone ||
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| || [[26_17|26/17]] || 735.572 || septendecimal super-fifth ||
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| || [[17_11|17/11]] || 753.637 || septendecimal subminor sixth ||
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| || [[28_17|28/17]] || 863.870 || septendecimal submajor sixth ||
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| || [[17_10|17/10]] || 918.642 || septendecimal major sixth ||
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| || [[30_17|30/17]] || 983.313 || septendecimal minor seventh ||
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| || [[32_17|32/17]] || 1095.045 || small septendecimal major seventh ||
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| || [[17_9|17/9]] || 1101.045 || large septendecimal major seventh ||
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| see [[Harmonic Limit]], [[seventeen limit tetrads]]</pre></div>
| | {| class="wikitable" |
| <h4>Original HTML content:</h4>
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| <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>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 &quot;minor ninth&quot; 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 />
| | ! | Ratio |
| <br />
| | ! | Cents Value |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-17-limit Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->17-limit Intervals</h2>
| | ! | 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 |
| | |} |
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| <table class="wiki_table">
| | see [[Harmonic_Limit|Harmonic Limit]], [[seventeen_limit_tetrads|seventeen limit tetrads]] [[Category:17-limit]] |
| <tr>
| | [[Category:limit]] |
| <th>Ratio<br />
| | [[Category:prime_limit]] |
| </th>
| | [[Category:rank_7]] |
| <th>Cents Value<br />
| |
| </th>
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| <th>Name<br />
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| </th>
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| </tr>
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| <tr>
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| <td><a class="wiki_link" href="/18_17">18/17</a><br />
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| </td>
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| <td>98.955<br />
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| </td>
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| <td>small septendecimal semitone<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_16">17/16</a><br />
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| </td>
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| <td>104.955<br />
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| </td>
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| <td>large septendecimal semitone<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_15">17/15</a><br />
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| </td>
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| <td>216.687<br />
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| </td>
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| <td>septendecimal whole tone<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/20_17">20/17</a><br />
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| </td>
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| <td>281.358<br />
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| </td>
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| <td>septendecimal minor third<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_14">17/14</a><br />
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| </td>
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| <td>336.130<br />
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| </td>
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| <td>septendecimal supraminor third<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/21_17">21/17</a><br />
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| </td>
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| <td>365.825<br />
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| </td>
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| <td>septendecimal submajor third<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/22_17">22/17</a><br />
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| </td>
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| <td>446.363<br />
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| </td>
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| <td>septendecimal supermajor third<br />
| |
| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_13">17/13</a><br />
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| </td>
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| <td>464.428<br />
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| </td>
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| <td>septendecimal sub-fourth<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/24_17">24/17</a><br />
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| </td>
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| <td>597.000<br />
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| </td>
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| <td>1st septendecimal tritone<br />
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| </td>
| |
| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_12">17/12</a><br />
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| </td>
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| <td>603.000<br />
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| </td>
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| <td>2nd septendecimal tritone<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/26_17">26/17</a><br />
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| </td>
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| <td>735.572<br />
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| </td>
| |
| <td>septendecimal super-fifth<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_11">17/11</a><br />
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| </td>
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| <td>753.637<br />
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| </td>
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| <td>septendecimal subminor sixth<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/28_17">28/17</a><br />
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| </td>
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| <td>863.870<br />
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| </td>
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| <td>septendecimal submajor sixth<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><a class="wiki_link" href="/17_10">17/10</a><br />
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| </td>
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| <td>918.642<br />
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| </td>
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| <td>septendecimal major sixth<br />
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| </td>
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| </tr>
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| <tr>
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| <td><a class="wiki_link" href="/30_17">30/17</a><br />
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| </td>
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| <td>983.313<br />
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| </td>
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| <td>septendecimal minor seventh<br />
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| </td>
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| </tr>
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| <tr>
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| <td><a class="wiki_link" href="/32_17">32/17</a><br />
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| </td>
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| <td>1095.045<br />
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| </td>
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| <td>small septendecimal major seventh<br />
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| </td>
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| </tr>
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| <tr>
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| <td><a class="wiki_link" href="/17_9">17/9</a><br />
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| </td>
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| <td>1101.045<br />
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| </td>
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| <td>large septendecimal major seventh<br />
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| </td>
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| </tr>
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| </table>
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| | |
| <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></pre></div> | |