Strictly proper 7-tone 31edo scales: Difference between revisions
Wikispaces>genewardsmith **Imported revision 160495655 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 160500509 - 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:genewardsmith|genewardsmith]] and made on <tt>2010-09-05 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-05 16:07:32 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>160500509</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"> | <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">Below are listed scales which are [[http://en.wikipedia.org/wiki/Rothenberg_propriety|strictly proper]] in the sense of David Rothenberg. The "type" of a scale is defined by what linear temperament supported by 31et it has the least span in. "Breed type" means it is a tie between miracle and hemiwuerschmidt. | ||
===Meantone type=== | ===Meantone type=== | ||
|| **{{5535553}}** || Meantone[7]; diatonic scale || | || **{{5535553}}** || Meantone[7]; diatonic scale || | ||
| Line 55: | Line 55: | ||
===Mothra type=== | ===Mothra type=== | ||
|| **{{}}** || | || **{{5553643}}** || Lydic || | ||
|| **{{}}** || | || **{{5553463}}** || Inverse lydic || | ||
|| **{{}}** || | || **{{5535463}}** || Ionic || | ||
|| **{{}}** || | || **{{5364535}}** || Aeolic; inverse ionic || | ||
|| **{{}}** || | || **{{4644463}}** || Quahog || | ||
|| **{{}}** || | || **{{6444643}}** || Inverse quahog || | ||
|| **{{}}** || | || **{{6453643}}** || Higasi || | ||
|| **{{}}** || | || **{{4635463}}** || Inverse higasi || | ||
===Orwell type=== | |||
|| **{{5364463}}** || Orminor || | |||
|| **{{4644643}}** || Ormed || | |||
|| **{{4644364}}** || Augton || | |||
|| **{{4644634}}** || Inverse augton || | |||
===Breed type=== | |||
|| **{{3456265}}** || Hemisub || | |||
|| **{{4356265}}** || Inverse hemisub || | |||
|| **{{6354535}}** || Heminewt || | |||
|| **{{4536535}}** || Inverse heminewt || | |||
</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>Strictly proper 7-note 31edo scales</title></head><body><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>Strictly proper 7-note 31edo scales</title></head><body>Below are listed scales which are <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Rothenberg_propriety" rel="nofollow">strictly proper</a> in the sense of David Rothenberg. The &quot;type&quot; of a scale is defined by what linear temperament supported by 31et it has the least span in. &quot;Breed type&quot; means it is a tie between miracle and hemiwuerschmidt.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Meantone type"></a><!-- ws:end:WikiTextHeadingRule:0 -->Meantone type</h3> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--Meantone type"></a><!-- ws:end:WikiTextHeadingRule:0 -->Meantone type</h3> | ||
| Line 327: | Line 340: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>5553643</tt></strong><br /> | ||
</td> | |||
<td>Lydic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>5553463</tt></strong><br /> | |||
</td> | |||
<td>Inverse lydic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>5535463</tt></strong><br /> | |||
</td> | |||
<td>Ionic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>5364535</tt></strong><br /> | |||
</td> | |||
<td>Aeolic; inverse ionic<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>4644463</tt></strong><br /> | |||
</td> | </td> | ||
<td><br /> | <td>Quahog<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>6444643</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Inverse quahog<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>6453643</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Higasi<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>4635463</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Inverse higasi<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x--Orwell type"></a><!-- ws:end:WikiTextHeadingRule:10 -->Orwell type</h3> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td><strong><tt>5364463</tt></strong><br /> | |||
</td> | |||
<td>Orminor<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>4644643</tt></strong><br /> | |||
</td> | |||
<td>Ormed<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>4644364</tt></strong><br /> | |||
</td> | |||
<td>Augton<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><strong><tt>4644634</tt></strong><br /> | |||
</td> | |||
<td>Inverse augton<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x--Breed type"></a><!-- ws:end:WikiTextHeadingRule:12 -->Breed type</h3> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>3456265</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Hemisub<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>4356265</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Inverse hemisub<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>6354535</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Heminewt<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><strong></strong><br /> | <td><strong><tt>4536535</tt></strong><br /> | ||
</td> | </td> | ||
<td><br /> | <td>Inverse heminewt<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||