Cluster MOS: Difference between revisions
Wikispaces>phylingual **Imported revision 334262170 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 385545002 - 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:keenanpepper|keenanpepper]] and made on <tt>2012-11-24 12:58:00 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>385545002</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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|| 3 || 10/7 || 16/11 || 40/27 || 3/2 || 32/21 || 14/9 || 11/7 || 8/5 || | || 3 || 10/7 || 16/11 || 40/27 || 3/2 || 32/21 || 14/9 || 11/7 || 8/5 || | ||
|| 4 || 18/11 || 5/3 || 27/16 || 12/7 || 7/4 || 16/9 || 9/5 || 11/6 || | || 4 || 18/11 || 5/3 || 27/16 || 12/7 || 7/4 || 16/9 || 9/5 || 11/6 || | ||
==Modus== | ==Modus== | ||
Main article: [[Modus]] | Main article: [[Modus]] | ||
| Line 50: | Line 51: | ||
|| 5 || 8/5 || 18/11 || 5/3 || 22/13~27/16 || | || 5 || 8/5 || 18/11 || 5/3 || 22/13~27/16 || | ||
|| 6 || 16/9 || 9/5 || 11/6 || 15/8 || | || 6 || 16/9 || 9/5 || 11/6 || 15/8 || | ||
==Miracle== | ==Miracle== | ||
Main article: [[Miracle]] | Main article: [[Miracle]] | ||
| Line 63: | Line 65: | ||
|| 8 || || 27/16 || 12/7 || 7/4 || 16/9 || 20/11 || | || 8 || || 27/16 || 12/7 || 7/4 || 16/9 || 20/11 || | ||
|| 9 || || 9/5 || 11/6 || 15/8 || 21/11 || || | || 9 || || 9/5 || 11/6 || 15/8 || 21/11 || || | ||
==Porcupine(fish)== | ==Porcupine(fish)== | ||
Main article: [[Porcupine]] | Main article: [[Porcupine]] | ||
| Line 90: | Line 93: | ||
|| 12 || || 27/16 || 12/7 || 7/4 || 16/9 || || | || 12 || || 27/16 || 12/7 || 7/4 || 16/9 || || | ||
|| 13 || 17/10 || 30/14 || 9/5 || 11/6~20/11 || 13/7 || || | || 13 || 17/10 || 30/14 || 9/5 || 11/6~20/11 || 13/7 || || | ||
|| 14 || || 24/13 || 15/8 || 40/21~48/25 || 35/18 || ||</pre></div> | || 14 || || 24/13 || 15/8 || 40/21~48/25 || 35/18 || || | ||
==2.3.5.11.13 hitchcock== | |||
Unlike amity itself, this 2.3.5.11.13 amity extension is a cluster temperament because the intervals between 6/5 and 5/4 are mapped to 11/9 and 16/13. | |||
|| Steps || || || || || || || | |||
|| 1 || || 13/12 || 12/11~11/10 || 10/9 || 9/8 || || | |||
|| 2 || 13/11 || 6/5 || 11/9 || 16/13 || 5/4 || || | |||
|| 3 || 13/10 || || 4/3 || 27/20 || 11/8 || 18/13 || | |||
|| 4 || 13/9 || 16/11 || 40/27 || 3/2 || || 20/13 || | |||
|| 5 || || 8/5 || 13/8 || 18/11 || 5/3 || 22/13 || | |||
|| 6 || || 16/9 || 9/5 || 11/6 || 24/13 || ||</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>Cluster temperament</title></head><body>A cluster temperament (named by <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a>) is a very particular kind of rank-2 temperament whose generator is quite near a rational fraction of an octave. Therefore some MOS of the temperament is quasi-equal (which should be reasonably sized for it to be a good cluster temperament, usually between 5 and 10 notes per octave). But not only that; in a cluster temperament, the different versions of each interval, differing by a chroma (&quot;diminished&quot;, &quot;minor&quot;, &quot;major&quot;, &quot;augmented&quot;...) include many nearby JI intervals that are individually recognizable, yet conceptually grouped into the same category (or &quot;cluster&quot;) because they're so close.<br /> | <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>Cluster temperament</title></head><body>A cluster temperament (named by <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a>) is a very particular kind of rank-2 temperament whose generator is quite near a rational fraction of an octave. Therefore some MOS of the temperament is quasi-equal (which should be reasonably sized for it to be a good cluster temperament, usually between 5 and 10 notes per octave). But not only that; in a cluster temperament, the different versions of each interval, differing by a chroma (&quot;diminished&quot;, &quot;minor&quot;, &quot;major&quot;, &quot;augmented&quot;...) include many nearby JI intervals that are individually recognizable, yet conceptually grouped into the same category (or &quot;cluster&quot;) because they're so close.<br /> | ||
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</table> | </table> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Examples-Modus"></a><!-- ws:end:WikiTextHeadingRule:8 -->Modus</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Examples-Modus"></a><!-- ws:end:WikiTextHeadingRule:8 -->Modus</h2> | ||
Main article: <a class="wiki_link" href="/Modus">Modus</a><br /> | Main article: <a class="wiki_link" href="/Modus">Modus</a><br /> | ||
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</table> | </table> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Examples-Miracle"></a><!-- ws:end:WikiTextHeadingRule:10 -->Miracle</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Examples-Miracle"></a><!-- ws:end:WikiTextHeadingRule:10 -->Miracle</h2> | ||
Main article: <a class="wiki_link" href="/Miracle">Miracle</a><br /> | Main article: <a class="wiki_link" href="/Miracle">Miracle</a><br /> | ||
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</table> | </table> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Examples-Porcupine(fish)"></a><!-- ws:end:WikiTextHeadingRule:12 -->Porcupine(fish)</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Examples-Porcupine(fish)"></a><!-- ws:end:WikiTextHeadingRule:12 -->Porcupine(fish)</h2> | ||
Main article: <a class="wiki_link" href="/Porcupine">Porcupine</a><br /> | Main article: <a class="wiki_link" href="/Porcupine">Porcupine</a><br /> | ||
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</td> | </td> | ||
<td>35/18<br /> | <td>35/18<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Examples-2.3.5.11.13 hitchcock"></a><!-- ws:end:WikiTextHeadingRule:16 -->2.3.5.11.13 hitchcock</h2> | |||
Unlike amity itself, this 2.3.5.11.13 amity extension is a cluster temperament because the intervals between 6/5 and 5/4 are mapped to 11/9 and 16/13.<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>Steps<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>13/12<br /> | |||
</td> | |||
<td>12/11~11/10<br /> | |||
</td> | |||
<td>10/9<br /> | |||
</td> | |||
<td>9/8<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>2<br /> | |||
</td> | |||
<td>13/11<br /> | |||
</td> | |||
<td>6/5<br /> | |||
</td> | |||
<td>11/9<br /> | |||
</td> | |||
<td>16/13<br /> | |||
</td> | |||
<td>5/4<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>3<br /> | |||
</td> | |||
<td>13/10<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>4/3<br /> | |||
</td> | |||
<td>27/20<br /> | |||
</td> | |||
<td>11/8<br /> | |||
</td> | |||
<td>18/13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>4<br /> | |||
</td> | |||
<td>13/9<br /> | |||
</td> | |||
<td>16/11<br /> | |||
</td> | |||
<td>40/27<br /> | |||
</td> | |||
<td>3/2<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>20/13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>5<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>8/5<br /> | |||
</td> | |||
<td>13/8<br /> | |||
</td> | |||
<td>18/11<br /> | |||
</td> | |||
<td>5/3<br /> | |||
</td> | |||
<td>22/13<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>6<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>16/9<br /> | |||
</td> | |||
<td>9/5<br /> | |||
</td> | |||
<td>11/6<br /> | |||
</td> | |||
<td>24/13<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||