31edo modes: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 40409150 - Original comment: ** |
Wikispaces>xenjacob **Imported revision 42510933 - 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:xenjacob|xenjacob]] and made on <tt>2008-10-18 06:39:20 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>42510933</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">Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of [[31edo]]. The numbers indicate successive intervals, in dieses. | <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">Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of [[31edo]]. The numbers indicate successive intervals, in dieses. | ||
=Nothing special= | |||
Or, to some, the only important thing. | |||
|| {{**2 3 3 2 3 2 3 2 3 3 2 3**}} || Meantone Chromatic (53/220-comma) || | || {{**2 3 3 2 3 2 3 2 3 3 2 3**}} || Meantone Chromatic (53/220-comma) || | ||
| Line 15: | Line 18: | ||
|| {{**5 5 3 5 3 7 3**}} || Thirty-one tone Harmonic Major || | || {{**5 5 3 5 3 7 3**}} || Thirty-one tone Harmonic Major || | ||
|| {{**5 5 3 5 3 5 5**}} || Thirty-one tone Major-Minor || | || {{**5 5 3 5 3 5 5**}} || Thirty-one tone Major-Minor || | ||
|| {{**5 2 6 5 2 5 6**}} || "Septimal" Natural Minor || | |||
=Euler-Fokker genera= | |||
Boxy shapes from the [3,5,7] lattice. | |||
|| {{**5 8 5 13**}} || Genus primum || | || {{**5 8 5 13**}} || Genus primum || | ||
|| {{**10 3 5 5 5 3**}} || Genus secundum || | || {{**10 3 5 5 5 3**}} || Genus secundum || | ||
| Line 33: | Line 42: | ||
|| {{**5 2 1 2 5 3 2 1 4 1 2 3**}} || Genus bichromaticum || | || {{**5 2 1 2 5 3 2 1 4 1 2 3**}} || Genus bichromaticum || | ||
|| {{**3 1 2 4 2 4 2 4 2 1 3 3**}} || Genus [3577] (Joel Mandelbaum //Andante cantabile//) || | || {{**3 1 2 4 2 4 2 4 2 1 3 3**}} || Genus [3577] (Joel Mandelbaum //Andante cantabile//) || | ||
=Greek/tetrachord modes= | |||
|| {{**4 4 5 4 4 5 5**}} || Neutral Diatonic Mixolydian || | || {{**4 4 5 4 4 5 5**}} || Neutral Diatonic Mixolydian || | ||
|| {{**4 5 4 4 5 5 4**}} || Neutral Diatonic Lydian || | || {{**4 5 4 4 5 5 4**}} || Neutral Diatonic Lydian || | ||
| Line 80: | Line 92: | ||
|| {{**10 5 1 2 10 1 2**}} || Enharmonic Hypophrygian || | || {{**10 5 1 2 10 1 2**}} || Enharmonic Hypophrygian || | ||
|| {{**5 1 2 10 1 2 10**}} || Enharmonic Hypodorian || | || {{**5 1 2 10 1 2 10**}} || Enharmonic Hypodorian || | ||
=Of particular [[interscalar]] interest= | |||
|| {{**6 6 7 6 6**}} || Quasi-equal Pentatonic || | || {{**6 6 7 6 6**}} || Quasi-equal Pentatonic || | ||
|| {{**3 3 2 3 3 3 3 3 2 3 3**}} || near [[11edo]] || | |||
=Miscellaneous= | |||
|| {{**3 2 2 3 3 2 3 3 2 2 3 3**}} || Fokker 12-tone || | || {{**3 2 2 3 3 2 3 3 2 2 3 3**}} || Fokker 12-tone || | ||
|| {{**5 3 5 3 5 2 5 3**}} || Modus conjunctus || | || {{**5 3 5 3 5 2 5 3**}} || Modus conjunctus || | ||
| Line 87: | Line 106: | ||
|| {{**3 4 3 3 5 3 4 3 3**}} || Hahn pentachordal || | || {{**3 4 3 3 5 3 4 3 3**}} || Hahn pentachordal || | ||
|| {{**4 4 2 5 3 3 4 3 3**}} || Hahn Nonatonic || | || {{**4 4 2 5 3 3 4 3 3**}} || Hahn Nonatonic || | ||
|| {{**5 3 3 3 3 5 3 3 3**}} || Rothenberg Generalized Diatonic || | || {{**5 3 3 3 3 5 3 3 3**}} || Rothenberg Generalized Diatonic || | ||
|| {{**2 3 3 6 4 4 2 2 5**}} || Michael Sheiman 9-note || | || {{**2 3 3 6 4 4 2 2 5**}} || Michael Sheiman 9-note || | ||
=MOS and Cradle MOS= | |||
|| {{**4 5 4 5 4 5 4**}} || Neutral scale 7-note || | || {{**4 5 4 5 4 5 4**}} || Neutral scale 7-note || | ||
|| {{**4 1 4 4 1 4 4 4 1 4**}} || Neutral scale 10-note || | || {{**4 1 4 4 1 4 4 4 1 4**}} || Neutral scale 10-note || | ||
|| {{**4 1 4 4 4 1 4 4 1 4**}} || Breed 10-tone || | |||
|| {{**4 3 4 3 4 3 4 3 3**}} || Orwell[9] || | |||
|| {{**5 1 5 1 5 1 5 1 5 1 1**}} || de Vries 11-tone || | |||
|| {{**3 1 3 1 3 1 3 1 3 1 3 1 3 1 3**}} || Pseudo-Porcupine 15-note || | || {{**3 1 3 1 3 1 3 1 3 1 3 1 3 1 3**}} || Pseudo-Porcupine 15-note || | ||
|| {{**1 7 1 2 1 7 1 2 1 7 1**}} || Nested Bees ||</pre></div> | || {{**1 7 1 2 1 7 1 2 1 7 1**}} || Nested Bees || | ||
|| {{**4 2 4 2 4 2 4 3 3 3**}} || Lumma Decatonic || | |||
|| {{**2 5 2 2 5 2 2 2 5 2 2**}} || Secor/Barton no-fives ||</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>31edo modes</title></head><body>Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of <a class="wiki_link" href="/31edo">31edo</a>. The numbers indicate successive intervals, in dieses.<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>31edo modes</title></head><body>Taken originally from Scala, Manuel Op De Coul, this is a user-editable list of modes of <a class="wiki_link" href="/31edo">31edo</a>. The numbers indicate successive intervals, in dieses.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Nothing special"></a><!-- ws:end:WikiTextHeadingRule:0 -->Nothing special</h1> | |||
Or, to some, the only important thing.<br /> | |||
<br /> | <br /> | ||
| Line 148: | Line 171: | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | |||
<td><tt><strong>5 2 6 5 2 5 6</strong></tt><br /> | |||
</td> | |||
<td>&quot;Septimal&quot; Natural Minor<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Euler-Fokker genera"></a><!-- ws:end:WikiTextHeadingRule:2 -->Euler-Fokker genera</h1> | |||
<br /> | |||
Boxy shapes from the [3,5,7] lattice.<br /> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><tt><strong>5 8 5 13</strong></tt><br /> | <td><tt><strong>5 8 5 13</strong></tt><br /> | ||
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</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Greek/tetrachord modes"></a><!-- ws:end:WikiTextHeadingRule:4 -->Greek/tetrachord modes</h1> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><tt><strong>4 4 5 4 4 5 5</strong></tt><br /> | <td><tt><strong>4 4 5 4 4 5 5</strong></tt><br /> | ||
| Line 538: | Line 585: | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Of particular interscalar interest"></a><!-- ws:end:WikiTextHeadingRule:6 -->Of particular <a class="wiki_link" href="/interscalar">interscalar</a> interest</h1> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><tt><strong>6 6 7 6 6</strong></tt><br /> | <td><tt><strong>6 6 7 6 6</strong></tt><br /> | ||
| Line 544: | Line 599: | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | |||
<td><tt><strong>3 3 2 3 3 3 3 3 2 3 3</strong></tt><br /> | |||
</td> | |||
<td>near <a class="wiki_link" href="/11edo">11edo</a><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Miscellaneous"></a><!-- ws:end:WikiTextHeadingRule:8 -->Miscellaneous</h1> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><tt><strong>3 2 2 3 3 2 3 3 2 2 3 3</strong></tt><br /> | <td><tt><strong>3 2 2 3 3 2 3 3 2 2 3 3</strong></tt><br /> | ||
| Line 581: | Line 650: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong>5 | <td><tt><strong>5 3 3 3 3 5 3 3 3</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Rothenberg Generalized Diatonic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong>4 | <td><tt><strong>2 3 3 6 4 4 2 2 5</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Michael Sheiman 9-note<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="MOS and Cradle MOS"></a><!-- ws:end:WikiTextHeadingRule:10 -->MOS and Cradle MOS</h1> | |||
<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<td><tt><strong>4 | <td><tt><strong>4 5 4 5 4 5 4</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Neutral scale 7-note<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>4 1 4 4 1 4 4 4 1 4</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Neutral scale 10-note<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>4 1 4 4 4 1 4 4 1 4</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Breed 10-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 617: | Line 694: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>5 1 5 1 5 1 5 1 5 1 1</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>de Vries 11-tone<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>3 1 3 1 3 1 3 1 3 1 3 1 3 1 3</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Pseudo-Porcupine 15-note<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>1 7 1 2 1 7 1 2 1 7 1</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Nested Bees<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong>4 | <td><tt><strong>4 2 4 2 4 2 4 3 3 3</strong></tt><br /> | ||
</td> | </td> | ||
<td> | <td>Lumma Decatonic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><tt><strong> | <td><tt><strong>2 5 2 2 5 2 2 2 5 2 2</strong></tt><br /> | ||
</td> | </td> | ||
<td>Secor/Barton no-fives<br /> | |||
<td> | |||
</td> | </td> | ||
</tr> | </tr> | ||