26edo: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:~~xenwolf~~|~~xenwolf~~]] and made on <tt>2011-06-~~27 16~~:01:42 UTC</tt>.

: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2011-07-25 21:33:08 UTC</tt>.

: The original revision id was <tt>~~239003133~~</tt>.

: The original revision id was <tt>242824431</tt>.

: The revision comment was: <tt>~~13-limit is prime *and* odd :)~~</tt>

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

<h4>Original Wikitext content:</h4>

Line 74:

=Intervals=

|| degree || [[cent]]s ||

|| degree || [[cent]]s ||= Approximate

|| 0 || 0 ||

Ratios* ||

|| 1 || 46.154 ||

|| 0 || 0 ||= 1/1 ||

|| 2 || 92.308 ||

|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 ||

|| 3 || 138.46 ||

|| 2 || 92.308 ||= 21/20 ||

|| 4 || 184.62 ||

|| 3 || 138.46 ||= 14/13, 16/15 ||

|| 5 || 230.77 ||

|| 4 || 184.62 ||= 9/8, 10/9, 11/10 ||

|| 6 || 276.92 ||

|| 5 || 230.77 ||= 8/7 ||

|| 7 || 323.08 ||

|| 6 || 276.92 ||= 7/6, 13/11, 33/28 ||

|| 8 || 369.23 ||

|| 7 || 323.08 ||= 6/5 ||

|| 9 || 415.38 ||

|| 8 || 369.23 ||= 5/4, 16/13 ||

|| 10 || 461.54 ||

|| 9 || 415.38 ||= 9/7, 14/11, 33/26 ||

|| 11 || 507.69 ||

|| 10 || 461.54 ||= 21/16, 13/10 ||

|| 12 || 553.85 ||

|| 11 || 507.69 ||= 4/3 ||

|| 13 || 600.00 ||

|| 12 || 553.85 ||= 11/8, 18/13 ||

|| 14 || 646.15 ||

|| 13 || 600.00 ||= 7/5, 10/7 ||

|| 15 || 692.31 ||

|| 14 || 646.15 ||= 16/11, 13/9 ||

|| 16 || 738.46 ||

|| 15 || 692.31 ||= 3/2 ||

|| 17 || 784.62 ||

|| 16 || 738.46 ||= 32/21, 20/13 ||

|| 18 || 830.77 ||

|| 17 || 784.62 ||= 11/7, 14/9 ||

|| 19 || 876.92 ||

|| 18 || 830.77 ||= 13/8, 8/5 ||

|| 20 || 923.08 ||

|| 19 || 876.92 ||= 5/3 ||

|| 21 || 969.23 ||

|| 20 || 923.08 ||= 12/7, 22/13 ||

|| 22 || 1015.4 ||

|| 21 || 969.23 ||= 7/4 ||

|| 23 || 1061.5 ||

|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 ||

|| 24 || 1107.7 ||

|| 23 || 1061.5 ||= 13/7, 15/8 ||

|| 25 || 1153.8 ||

|| 24 || 1107.7 ||= 40/21 ||

|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 ||

|| 26 || 1200 ||= 2/1 ||

*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.

=Additional Scalar Bases Available in 26-EDO:=

Since the perfect 5th in 26-EDO spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). The former approach produces MOS at 1L+4s, 5L+1s, and 5L+6s (5 5 5 5 6, 5 5 5 5 5 1, and 4 1 4 1 4 1 4 1 4 1 1 respectively), and is excellent for 4:6:7 triads. The latter produces MOS at 1L+7s and 8L+1s (3 3 3 3 3 3 3 5 and 3 3 3 3 3 3 3 3 2 respectively), and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (thought further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval).

Line 626:

Line 628:

Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

<img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" />

<h1 id="toc3"><a name="Intervals"></a>Intervals</h1>

Line 637:

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</td>

<td><a class="wiki_link" href="/cent">cent</a>s

</td>

<td style="text-align: center;">Approximate

Ratios*

</td>

</tr>

Line 643:

Line 648:

</td>

<td>0

</td>

<td style="text-align: center;">1/1

</td>

</tr>

Line 649:

Line 656:

</td>

<td>46.154

</td>

<td style="text-align: center;">33/32, 49/48, 36/35, 25/24

</td>

</tr>

Line 655:

Line 664:

</td>

<td>92.308

</td>

<td style="text-align: center;">21/20

</td>

</tr>

Line 661:

Line 672:

</td>

<td>138.46

</td>

<td style="text-align: center;">14/13, 16/15

</td>

</tr>

Line 667:

Line 680:

</td>

<td>184.62

</td>

<td style="text-align: center;">9/8, 10/9, 11/10

</td>

</tr>

Line 673:

Line 688:

</td>

<td>230.77

</td>

<td style="text-align: center;">8/7

</td>

</tr>

Line 679:

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</td>

<td>276.92

</td>

<td style="text-align: center;">7/6, 13/11, 33/28

</td>

</tr>

Line 685:

Line 704:

</td>

<td>323.08

</td>

<td style="text-align: center;">6/5

</td>

</tr>

Line 691:

Line 712:

</td>

<td>369.23

</td>

<td style="text-align: center;">5/4, 16/13

</td>

</tr>

Line 697:

Line 720:

</td>

<td>415.38

</td>

<td style="text-align: center;">9/7, 14/11, 33/26

</td>

</tr>

Line 703:

Line 728:

</td>

<td>461.54

</td>

<td style="text-align: center;">21/16, 13/10

</td>

</tr>

Line 709:

Line 736:

</td>

<td>507.69

</td>

<td style="text-align: center;">4/3

</td>

</tr>

Line 715:

Line 744:

</td>

<td>553.85

</td>

<td style="text-align: center;">11/8, 18/13

</td>

</tr>

Line 721:

Line 752:

</td>

<td>600.00

</td>

<td style="text-align: center;">7/5, 10/7

</td>

</tr>

Line 727:

Line 760:

</td>

<td>646.15

</td>

<td style="text-align: center;">16/11, 13/9

</td>

</tr>

Line 733:

Line 768:

</td>

<td>692.31

</td>

<td style="text-align: center;">3/2

</td>

</tr>

Line 739:

Line 776:

</td>

<td>738.46

</td>

<td style="text-align: center;">32/21, 20/13

</td>

</tr>

Line 745:

Line 784:

</td>

<td>784.62

</td>

<td style="text-align: center;">11/7, 14/9

</td>

</tr>

Line 751:

Line 792:

</td>

<td>830.77

</td>

<td style="text-align: center;">13/8, 8/5

</td>

</tr>

Line 757:

Line 800:

</td>

<td>876.92

</td>

<td style="text-align: center;">5/3

</td>

</tr>

Line 763:

Line 808:

</td>

<td>923.08

</td>

<td style="text-align: center;">12/7, 22/13

</td>

</tr>

Line 769:

Line 816:

</td>

<td>969.23

</td>

<td style="text-align: center;">7/4

</td>

</tr>

Line 775:

Line 824:

</td>

<td>1015.4

</td>

<td style="text-align: center;">9/5, 16/9, 20/11

</td>

</tr>

Line 781:

Line 832:

</td>

<td>1061.5

</td>

<td style="text-align: center;">13/7, 15/8

</td>

</tr>

Line 787:

Line 840:

</td>

<td>1107.7

</td>

<td style="text-align: center;">40/21

</td>

</tr>

Line 793:

Line 848:

</td>

<td>1153.8

</td>

<td style="text-align: center;">64/33, 96/49, 35/18, 48/25

</td>

</tr>

<tr>

<td>26

</td>

<td>1200

</td>

<td style="text-align: center;">2/1

</td>

</tr>

</table>

*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.

<h1 id="toc4"><a name="Additional Scalar Bases Available in 26-EDO:"></a>Additional Scalar Bases Available in 26-EDO:</h1>

Since the perfect 5th in 26-EDO spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). The former approach produces MOS at 1L+4s, 5L+1s, and 5L+6s (5 5 5 5 6, 5 5 5 5 5 1, and 4 1 4 1 4 1 4 1 4 1 1 respectively), and is excellent for 4:6:7 triads. The latter produces MOS at 1L+7s and 8L+1s (3 3 3 3 3 3 3 5 and 3 3 3 3 3 3 3 3 2 respectively), and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (thought further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval).

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-06-27 16:01:42 UTC</tt>.<br>
+: This revision was by author [[User:igliashon|igliashon]] and made on <tt>2011-07-25 21:33:08 UTC</tt>.<br>
-: The original revision id was <tt>239003133</tt>.<br>
+: The original revision id was <tt>242824431</tt>.<br>
-: The revision comment was: <tt>13-limit is prime *and* odd :)</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>
 <h4>Original Wikitext content:</h4>
@@ Line 74: / Line 74: @@
 =Intervals=
-|| degree || [[cent]]s ||
+|| degree || [[cent]]s ||= Approximate
-|| 0 || 0 ||
+Ratios* ||
-|| 1 || 46.154 ||
+|| 0 || 0 ||= 1/1 ||
-|| 2 || 92.308 ||
+|| 1 || 46.154 ||= 33/32, 49/48, 36/35, 25/24 ||
-|| 3 || 138.46 ||
+|| 2 || 92.308 ||= 21/20 ||
-|| 4 || 184.62 ||
+|| 3 || 138.46 ||= 14/13, 16/15 ||
-|| 5 || 230.77 ||
+|| 4 || 184.62 ||= 9/8, 10/9, 11/10 ||
-|| 6 || 276.92 ||
+|| 5 || 230.77 ||= 8/7 ||
-|| 7 || 323.08 ||
+|| 6 || 276.92 ||= 7/6, 13/11, 33/28 ||
-|| 8 || 369.23 ||
+|| 7 || 323.08 ||= 6/5 ||
-|| 9 || 415.38 ||
+|| 8 || 369.23 ||= 5/4, 16/13 ||
-|| 10 || 461.54 ||
+|| 9 || 415.38 ||= 9/7, 14/11, 33/26 ||
-|| 11 || 507.69 ||
+|| 10 || 461.54 ||= 21/16, 13/10 ||
-|| 12 || 553.85 ||
+|| 11 || 507.69 ||= 4/3 ||
-|| 13 || 600.00 ||
+|| 12 || 553.85 ||= 11/8, 18/13 ||
-|| 14 || 646.15 ||
+|| 13 || 600.00 ||= 7/5, 10/7 ||
-|| 15 || 692.31 ||
+|| 14 || 646.15 ||= 16/11, 13/9 ||
-|| 16 || 738.46 ||
+|| 15 || 692.31 ||= 3/2 ||
-|| 17 || 784.62 ||
+|| 16 || 738.46 ||= 32/21, 20/13 ||
-|| 18 || 830.77 ||
+|| 17 || 784.62 ||= 11/7, 14/9 ||
-|| 19 || 876.92 ||
+|| 18 || 830.77 ||= 13/8, 8/5 ||
-|| 20 || 923.08 ||
+|| 19 || 876.92 ||= 5/3 ||
-|| 21 || 969.23 ||
+|| 20 || 923.08 ||= 12/7, 22/13 ||
-|| 22 || 1015.4 ||
+|| 21 || 969.23 ||= 7/4 ||
-|| 23 || 1061.5 ||
+|| 22 || 1015.4 ||= 9/5, 16/9, 20/11 ||
-|| 24 || 1107.7 ||
+|| 23 || 1061.5 ||= 13/7, 15/8 ||
-|| 25 || 1153.8 ||
+|| 24 || 1107.7 ||= 40/21 ||
+|| 25 || 1153.8 ||= 64/33, 96/49, 35/18, 48/25 ||
+|| 26 || 1200 ||= 2/1 ||
+*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.
 =Additional Scalar Bases Available in 26-EDO:=
 Since the perfect 5th in 26-EDO spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). The former approach produces MOS at 1L+4s, 5L+1s, and 5L+6s (5 5 5 5 6, 5 5 5 5 5 1, and 4 1 4 1 4 1 4 1 4 1 1 respectively), and is excellent for 4:6:7 triads. The latter produces MOS at 1L+7s and 8L+1s (3 3 3 3 3 3 3 5 and 3 3 3 3 3 3 3 3 2 respectively), and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (thought further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval).
@@ Line 626: / Line 628: @@
 Orgone has a minimax tuning which sharpens both 7 and 11 by 1/5 of an orgonisma, or 1.679 cents. This makes the generator g a 77/64 sharp by 2/5 of the orgonisma. From this we may conclude that 24/89 or 31/115 would be reasonable alternatives to the 7/26 generator.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:652:&amp;lt;img src=&amp;quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:652 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:714:&amp;lt;img src=&amp;quot;/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_heptatonic.jpg/155606933/orgone_heptatonic.jpg" alt="orgone_heptatonic.jpg" title="orgone_heptatonic.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:714 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Intervals&lt;/h1&gt;
@@ Line 637: / Line 639: @@
 &lt;/td&gt;
          &lt;td&gt;&lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
+Ratios*&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 643: / Line 648: @@
 &lt;/td&gt;
          &lt;td&gt;0&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 649: / Line 656: @@
 &lt;/td&gt;
          &lt;td&gt;46.154&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;33/32, 49/48, 36/35, 25/24&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 655: / Line 664: @@
 &lt;/td&gt;
          &lt;td&gt;92.308&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;21/20&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 661: / Line 672: @@
 &lt;/td&gt;
          &lt;td&gt;138.46&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;14/13, 16/15&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 667: / Line 680: @@
 &lt;/td&gt;
          &lt;td&gt;184.62&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/8, 10/9, 11/10&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 673: / Line 688: @@
 &lt;/td&gt;
          &lt;td&gt;230.77&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 679: / Line 696: @@
 &lt;/td&gt;
          &lt;td&gt;276.92&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/6, 13/11, 33/28&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 685: / Line 704: @@
 &lt;/td&gt;
          &lt;td&gt;323.08&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;6/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 691: / Line 712: @@
 &lt;/td&gt;
          &lt;td&gt;369.23&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5/4, 16/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 697: / Line 720: @@
 &lt;/td&gt;
          &lt;td&gt;415.38&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/7, 14/11, 33/26&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 703: / Line 728: @@
 &lt;/td&gt;
          &lt;td&gt;461.54&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;21/16, 13/10&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 709: / Line 736: @@
 &lt;/td&gt;
          &lt;td&gt;507.69&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;4/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 715: / Line 744: @@
 &lt;/td&gt;
          &lt;td&gt;553.85&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;11/8, 18/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 721: / Line 752: @@
 &lt;/td&gt;
          &lt;td&gt;600.00&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 727: / Line 760: @@
 &lt;/td&gt;
          &lt;td&gt;646.15&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/11, 13/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 733: / Line 768: @@
 &lt;/td&gt;
          &lt;td&gt;692.31&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;3/2&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 739: / Line 776: @@
 &lt;/td&gt;
          &lt;td&gt;738.46&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;32/21, 20/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 745: / Line 784: @@
 &lt;/td&gt;
          &lt;td&gt;784.62&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;11/7, 14/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 751: / Line 792: @@
 &lt;/td&gt;
          &lt;td&gt;830.77&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/8, 8/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 757: / Line 800: @@
 &lt;/td&gt;
          &lt;td&gt;876.92&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 763: / Line 808: @@
 &lt;/td&gt;
          &lt;td&gt;923.08&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;12/7, 22/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 769: / Line 816: @@
 &lt;/td&gt;
          &lt;td&gt;969.23&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 775: / Line 824: @@
 &lt;/td&gt;
          &lt;td&gt;1015.4&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/5, 16/9, 20/11&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 781: / Line 832: @@
 &lt;/td&gt;
          &lt;td&gt;1061.5&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/7, 15/8&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 787: / Line 840: @@
 &lt;/td&gt;
          &lt;td&gt;1107.7&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;40/21&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 793: / Line 848: @@
 &lt;/td&gt;
          &lt;td&gt;1153.8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;64/33, 96/49, 35/18, 48/25&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;26&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1200&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
 &lt;/table&gt;
-&lt;br /&gt;
+*based on treating 26-EDO as a 13-limit temperament; other approaches are possible.&lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Additional Scalar Bases Available in 26-EDO:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Additional Scalar Bases Available in 26-EDO:&lt;/h1&gt;
   Since the perfect 5th in 26-EDO spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). The former approach produces MOS at 1L+4s, 5L+1s, and 5L+6s (5 5 5 5 6, 5 5 5 5 5 1, and 4 1 4 1 4 1 4 1 4 1 1 respectively), and is excellent for 4:6:7 triads. The latter produces MOS at 1L+7s and 8L+1s (3 3 3 3 3 3 3 5 and 3 3 3 3 3 3 3 3 2 respectively), and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (thought further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval).&lt;br /&gt;