26edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 602835062 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602835400 - 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:xenwolf|xenwolf]] and made on <tt>2016-12-27 08: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-27 08:47:15 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602835400</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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||~ Periods | ||~ Periods | ||
per octave ||~ Generator ||~ Temperaments || | per octave ||~ Generator ||~ Temperaments || | ||
|| 1 || 1\26 || [[Quartonic]]/Quarto || | ||= 1 ||= 1\26 || [[Quartonic]]/Quarto || | ||
|| 1 || 3\26 || [[Jerome]]/[[Chromatic pairs|Bleu]]/Secund || | ||= 1 ||= 3\26 || [[Jerome]]/[[Chromatic pairs|Bleu]]/Secund || | ||
|| 1 || 5\26 || [[Cynder]]/[[Mothra]] || | ||= 1 ||= 5\26 || [[Cynder]]/[[Mothra]] || | ||
|| 1 || 7\26 || [[Superkleismic]]/[[Orgone]]/[[Shibboleth]] || | ||= 1 ||= 7\26 || [[Superkleismic]]/[[Orgone]]/[[Shibboleth]] || | ||
|| 1 || 9\26 || [[Roman]]/Wesley || | ||= 1 ||= 9\26 || [[Roman]]/Wesley || | ||
|| 1 || 11\26 || [[Meantone]]/[[Flattone]] || | ||= 1 ||= 11\26 || [[Meantone]]/[[Flattone]] || | ||
|| 2 || 1\26 || Elvis || | ||= 2 ||= 1\26 || Elvis || | ||
|| 2 || 2\26 || [[Injera]] || | ||= 2 ||= 2\26 || [[Injera]] || | ||
|| 2 || 3\26 || [[Fifive]]/Crepuscular || | ||= 2 ||= 3\26 || [[Fifive]]/Crepuscular || | ||
|| 2 || 4\26 || [[Unidec]]/[[Gamelismic clan#Unidec-Hendec|Hendec]]/Dubbla || | ||= 2 ||= 4\26 || [[Unidec]]/[[Gamelismic clan#Unidec-Hendec|Hendec]]/Dubbla || | ||
|| 2 || 5\26 || [[Lemba]] || | ||= 2 ||= 5\26 || [[Lemba]] || | ||
|| 2 || 6\26 || [[Doublewide]]/Cavalier || | ||= 2 ||= 6\26 || [[Doublewide]]/Cavalier || | ||
|| 13 || 1\26 || Triskaidekic || | ||= 13 ||= 1\26 || Triskaidekic || | ||
==Hendec in 26et== | ==Hendec in 26et== | ||
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=Commas= | =Commas= | ||
26et tempers out the following commas. (Note: This assumes the val < 26 41 60 73 90 96 | 26et tempers out the following commas. (Note: This assumes the val < 26 41 60 73 90 96 |.) | ||
||~ | ||~ Ratio ||~ Monzo ||~ Size (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 || | ||
||= 81/80 ||< | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma ||= Meantone Comma || | ||= 81/80 ||< | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma ||= Meantone Comma || | ||
||= | ||= 5696703/5695946 ||< | -17 62 -35 > ||> 0.23 ||= Senior ||= ||= || | ||
||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||= || | ||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||= || | ||
||= 50/49 ||< | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||= || | ||= 50/49 ||< | 1 0 2 -2 > ||> 34.98 ||= Tritonic Diesis ||= Jubilisma ||= || | ||
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||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma ||= || | ||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.07 ||= Orwellisma ||= Orwell Comma ||= || | ||
||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||= 1029/1024 ||< | -10 1 0 3 > ||> 8.43 ||= Gamelisma ||= ||= || | ||
||= | ||= 321489/320000 ||< | -9 8 -4 2 > ||> 8.04 ||= Varunisma ||= ||= || | ||
||= | ||= 1065875/1063543 ||< | -26 -1 1 9 > ||> 3.79 ||= Wadisma ||= ||= || | ||
||= 4375/4374 ||< | -1 -7 4 1 > ||> 0.40 ||= Ragisma ||= ||= || | ||= 4375/4374 ||< | -1 -7 4 1 > ||> 0.40 ||= Ragisma ||= ||= || | ||
||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= ||= || | ||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.58 ||= Mothwellsma ||= ||= || | ||
||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||= 100/99 ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||= ||= || | ||
||= 105/104 ||< | -3 1 1 1 0 -1 > ||> 16. | ||= 105/104 ||< | -3 1 1 1 0 -1 > ||> 16.57 ||= Animist ||= ||= || | ||
||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= || | ||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||= ||= || | ||
||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= ||= || | ||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||= ||= || | ||
| Line 670: | Line 670: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>1\26<br /> | <td style="text-align: center;">1\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Quartonic">Quartonic</a>/Quarto<br /> | <td><a class="wiki_link" href="/Quartonic">Quartonic</a>/Quarto<br /> | ||
| Line 678: | Line 678: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>3\26<br /> | <td style="text-align: center;">3\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Jerome">Jerome</a>/<a class="wiki_link" href="/Chromatic%20pairs">Bleu</a>/Secund<br /> | <td><a class="wiki_link" href="/Jerome">Jerome</a>/<a class="wiki_link" href="/Chromatic%20pairs">Bleu</a>/Secund<br /> | ||
| Line 686: | Line 686: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>5\26<br /> | <td style="text-align: center;">5\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Cynder">Cynder</a>/<a class="wiki_link" href="/Mothra">Mothra</a><br /> | <td><a class="wiki_link" href="/Cynder">Cynder</a>/<a class="wiki_link" href="/Mothra">Mothra</a><br /> | ||
| Line 694: | Line 694: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>7\26<br /> | <td style="text-align: center;">7\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Superkleismic">Superkleismic</a>/<a class="wiki_link" href="/Orgone">Orgone</a>/<a class="wiki_link" href="/Shibboleth">Shibboleth</a><br /> | <td><a class="wiki_link" href="/Superkleismic">Superkleismic</a>/<a class="wiki_link" href="/Orgone">Orgone</a>/<a class="wiki_link" href="/Shibboleth">Shibboleth</a><br /> | ||
| Line 702: | Line 702: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>9\26<br /> | <td style="text-align: center;">9\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Roman">Roman</a>/Wesley<br /> | <td><a class="wiki_link" href="/Roman">Roman</a>/Wesley<br /> | ||
| Line 710: | Line 710: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1<br /> | <td style="text-align: center;">1<br /> | ||
</td> | </td> | ||
<td>11\26<br /> | <td style="text-align: center;">11\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Meantone">Meantone</a>/<a class="wiki_link" href="/Flattone">Flattone</a><br /> | <td><a class="wiki_link" href="/Meantone">Meantone</a>/<a class="wiki_link" href="/Flattone">Flattone</a><br /> | ||
| Line 718: | Line 718: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>1\26<br /> | <td style="text-align: center;">1\26<br /> | ||
</td> | </td> | ||
<td>Elvis<br /> | <td>Elvis<br /> | ||
| Line 726: | Line 726: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>2\26<br /> | <td style="text-align: center;">2\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Injera">Injera</a><br /> | <td><a class="wiki_link" href="/Injera">Injera</a><br /> | ||
| Line 734: | Line 734: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>3\26<br /> | <td style="text-align: center;">3\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Fifive">Fifive</a>/Crepuscular<br /> | <td><a class="wiki_link" href="/Fifive">Fifive</a>/Crepuscular<br /> | ||
| Line 742: | Line 742: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>4\26<br /> | <td style="text-align: center;">4\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Unidec">Unidec</a>/<a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec">Hendec</a>/Dubbla<br /> | <td><a class="wiki_link" href="/Unidec">Unidec</a>/<a class="wiki_link" href="/Gamelismic%20clan#Unidec-Hendec">Hendec</a>/Dubbla<br /> | ||
| Line 750: | Line 750: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>5\26<br /> | <td style="text-align: center;">5\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Lemba">Lemba</a><br /> | <td><a class="wiki_link" href="/Lemba">Lemba</a><br /> | ||
| Line 758: | Line 758: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>6\26<br /> | <td style="text-align: center;">6\26<br /> | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/Doublewide">Doublewide</a>/Cavalier<br /> | <td><a class="wiki_link" href="/Doublewide">Doublewide</a>/Cavalier<br /> | ||
| Line 766: | Line 766: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13<br /> | <td style="text-align: center;">13<br /> | ||
</td> | </td> | ||
<td>1\26<br /> | <td style="text-align: center;">1\26<br /> | ||
</td> | </td> | ||
<td>Triskaidekic<br /> | <td>Triskaidekic<br /> | ||
| Line 780: | Line 780: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h1> | <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->Commas</h1> | ||
26et tempers out the following commas. (Note: This assumes the val &lt; 26 41 60 73 90 96 | 26et tempers out the following commas. (Note: This assumes the val &lt; 26 41 60 73 90 96 |.)<br /> | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<th> | <th>Ratio<br /> | ||
</th> | </th> | ||
<th>Monzo<br /> | <th>Monzo<br /> | ||
</th> | </th> | ||
<th> | <th>Size (Cents)<br /> | ||
</th> | </th> | ||
<th>Name 1<br /> | <th>Name 1<br /> | ||
| Line 813: | Line 813: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">5696703/5695946<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -17 62 -35 &gt;<br /> | <td style="text-align: left;">| -17 62 -35 &gt;<br /> | ||
| Line 911: | Line 911: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">321489/320000<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -9 8 -4 2 &gt;<br /> | <td style="text-align: left;">| -9 8 -4 2 &gt;<br /> | ||
| Line 925: | Line 925: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;">1065875/1063543<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">| -26 -1 1 9 &gt;<br /> | <td style="text-align: left;">| -26 -1 1 9 &gt;<br /> | ||
| Line 985: | Line 985: | ||
<td style="text-align: left;">| -3 1 1 1 0 -1 &gt;<br /> | <td style="text-align: left;">| -3 1 1 1 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td style="text-align: right;">16. | <td style="text-align: right;">16.57<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Animist<br /> | <td style="text-align: center;">Animist<br /> | ||