17-limit: Difference between revisions
Wikispaces>xenwolf **Imported revision 215738946 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 255066728 - 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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-17 12:53:41 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>255066728</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 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 || | |||
|| [[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 trotone || | |||
|| [[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]]</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>17-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>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="/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 trotone<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></body></html></pre></div> | |||