17-limit: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 312095292 - Original comment: **
Wikispaces>phylingual
**Imported revision 334260510 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-03-18 11:56:51 UTC</tt>.<br>
: This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-12 20:11:48 UTC</tt>.<br>
: The original revision id was <tt>312095292</tt>.<br>
: The original revision id was <tt>334260510</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>
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|| [[20_17|20/17]] || 281.358 || septendecimal minor third ||
|| [[20_17|20/17]] || 281.358 || septendecimal minor third ||
|| [[17_14|17/14]] || 336.130 || septendecimal supraminor 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 ||
|| [[22_17|22/17]] || 446.363 || septendecimal supermajor third ||
|| [[17_13|17/13]] || 464.428 || septendecimal sub-fourth ||
|| [[17_13|17/13]] || 464.428 || septendecimal sub-fourth ||
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal supraminor third&lt;br /&gt;
         &lt;td&gt;septendecimal supraminor third&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/21_17"&gt;21/17&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;365.825&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;septendecimal submajor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 20:11, 12 May 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author phylingual and made on 2012-05-12 20:11:48 UTC.
The original revision id was 334260510.
The revision comment was:

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 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 &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 />
<br />
<!-- 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>
 

<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>