Cluster MOS: Difference between revisions
Wikispaces>phylingual **Imported revision 333539404 - Original comment: and obviously** |
Wikispaces>phylingual **Imported revision 333770388 - 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:phylingual|phylingual]] and made on <tt>2012-05-11 | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-05-11 16:59:55 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>333770388</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
| Line 63: | Line 63: | ||
|| 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)== | ||
Main article: [[Porcupine]] | Main article: [[Porcupine]] | ||
Chroma: 22/21~25/24~26/25~36/35~45/44~81/80 | Chroma: 22/21~25/24~(26/25)~36/35~45/44~81/80 | ||
|| Steps || "Diminished" || "Minor" || "Major" || "Augmented" || | || Steps || "Diminished" || "Minor" || "Major" || "Augmented" || | ||
|| 1 || 21/20~16/15 || 11/10~10/9 || 9/8~8/7 || 13/11 || | || 1 || 21/20~16/15 || 11/10~10/9 || 9/8~8/7 || (13/11) || | ||
|| 2 || 7/6 || 6/5~11/9 || 5/4 || 9/7~13/10 || | || 2 || 7/6 || 6/5~11/9 || 5/4 || 9/7~(13/10) || | ||
|| 3 || 14/11 || 4/3 || 11/8 || 10/7~13/9 || | || 3 || 14/11 || 4/3 || 11/8 || 10/7~(13/9) || | ||
|| 4 || 7/5~18/13 || 16/11 || 3/2 || 11/7 || | || 4 || 7/5~(18/13) || 16/11 || 3/2 || 11/7 || | ||
|| 5 || 14/9~20/13 || 8/5 || 5/3~18/11 || 12/7 || | || 5 || 14/9~(20/13) || 8/5 || 5/3~18/11 || 12/7 || | ||
|| 6 || 22/13 || 7/4~16/9 || 9/5~20/11 || 40/21~15/8 ||</pre></div> | || 6 || (22/13) || 7/4~16/9 || 9/5~20/11 || 40/21~15/8 ||</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 /> | ||
| Line 608: | Line 608: | ||
</table> | </table> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Examples- | <!-- 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 /> | ||
Chroma: 22/21~25/24~26/25~36/35~45/44~81/80<br /> | Chroma: 22/21~25/24~(26/25)~36/35~45/44~81/80<br /> | ||
| Line 635: | Line 635: | ||
<td>9/8~8/7<br /> | <td>9/8~8/7<br /> | ||
</td> | </td> | ||
<td>13/11<br /> | <td>(13/11)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 647: | Line 647: | ||
<td>5/4<br /> | <td>5/4<br /> | ||
</td> | </td> | ||
<td>9/7~13/10<br /> | <td>9/7~(13/10)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 659: | Line 659: | ||
<td>11/8<br /> | <td>11/8<br /> | ||
</td> | </td> | ||
<td>10/7~13/9<br /> | <td>10/7~(13/9)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 665: | Line 665: | ||
<td>4<br /> | <td>4<br /> | ||
</td> | </td> | ||
<td>7/5~18/13<br /> | <td>7/5~(18/13)<br /> | ||
</td> | </td> | ||
<td>16/11<br /> | <td>16/11<br /> | ||
| Line 677: | Line 677: | ||
<td>5<br /> | <td>5<br /> | ||
</td> | </td> | ||
<td>14/9~20/13<br /> | <td>14/9~(20/13)<br /> | ||
</td> | </td> | ||
<td>8/5<br /> | <td>8/5<br /> | ||
| Line 689: | Line 689: | ||
<td>6<br /> | <td>6<br /> | ||
</td> | </td> | ||
<td>22/13<br /> | <td>(22/13)<br /> | ||
</td> | </td> | ||
<td>7/4~16/9<br /> | <td>7/4~16/9<br /> | ||