14edo: Difference between revisions

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<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:~~MasonGreen1~~|~~MasonGreen1~~]] and made on <tt>2016-07-~~13 23~~:42:11 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 15:00:07 UTC</tt>.

: The original revision id was <tt>~~586893795~~</tt>.

: The original revision id was <tt>597494574</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.

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=**Intervals**=

|| **DEGREE** || **NOTE**

**NAME** || **CENTS**

**NAME** || **CENTS (coarse/fine)**

**DMS** ||= **Approximate**

**Ratios 1``*``** ||= **Approximate**

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Harmonic || Interval Type ||

|| 0 || C || 0 ||= 1/1 ||= 1/1 ||= 1 || Unison ||

|| 1 || C^, Dv || 85.714

|| 1 || C^, Dv || 85.714, 102.857

25°42'51" ||= 20/19, 19/18, 18/17 ||= 22/21, 28/27, 21/20 ||= 67 || Narrow Minor 2nd ||

|| 2 || D || 171.429

|| 2 || D || 171.429, 205.714

51°25'43" ||= 11/10, 10/9, 19/17 ||= 9/8, 10/9, 11/10,

12/11 ||= 71 || Neutral 2nd, or

Narrow Major 2nd ||

|| 3· || D^, Ev || 257.143

|| 3· || D^, Ev || 257.143, 308.571

77°8'34" ||= 22/19, 20/17 ||= 7/6, 8/7 ||= 37 || Subminor 3rd ||

|| 4 || E || 342.857

|| 4 || E || 342.857, 411.429

102°51'26" ||= 11/9, 17/14 ||= 11/9, 5/4, 6/5 ||= 39 || Neutral 3rd ||

|| 5· || E^, Fv || 428.571

|| 5· || E^, Fv || 428.571, 514.286

128°34'17" ||= 9/7, 14/11, 22/17 ||= 9/7, 14/11 ||= 41 || Supermajor 3rd ||

|| 6 || F || 514.286

|| 6 || F || 514.286, 617.143

154°17'9" ||= 19/14 ||= 4/3,11/8 ||= 43 || Wide 4th ||

154°17'9" ||= 19/14 ||= 4/3, 11/8 ||= 43 || Wide 4th ||

|| 7· || F^, Gv || 600

|| 7· || F^, Gv || 600, 720

180° ||= 7/5, 10/7 ||= 7/5, 10/7 ||= 91 || Tritone ||

|| 8 || G || 685.714

|| 8 || G || 685.714, 823.857

205°42'51" ||= 28/19 ||= 3/2, 16/11 ||= 95 || Narrow 5th ||

|| 9· || G^, Av || 771.429

|| 9· || G^, Av || 771.429, 925.714

231°25'43" ||= 14/9, 11/7, 17/11 ||= ||= 25 || Subminor 6th ||

|| 10 || A || 857.143

|| 10 || A || 857.143, 1028.571

257°8'34" ||= 18/11 ||= 18/11, 8/5, 5/3 ||= 105 || Neutral 6th ||

|| 11· || A^, Bv || 942.857

|| 11· || A^, Bv || 942.857, 1131.429

282°51'26" ||= 19/11, 17/10 ||= 12/7, 7/4 ||= 55 || Supermajor 6th ||

|| 12 || B || 1028.571

|| 12 || B || 1028.571, 1234.286

308°34'17" ||= 20/11, 9/5, 34/19 ||= 16/9, 9/5, 20/11,

11/6 ||= 29 || Neutral 7th, or

Wide Minor 7th ||

|| 13 || B^, Cv || 1114.286

|| 13 || B^, Cv || 1114.286, 1337.143

334°17'9" ||= 19/10, 36/19, 17/9 ||= 21/11, 27/14, 40/21 ||= 61 || Wide Major 7th ||

|| 14··(or 0) || C || 1200

|| 14··(or 0) || C || 1200, 1440

360° ||= 2/1 ||= 2/1 ||= 2 || Octave ||

``*``based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.

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10\14: Augmented 7th9/diminished 8th9: The third and final characteristic dissonance, analogous to the tritone.

11\14: Perfect 8th9: Represents 5:3, 12:7 and 7:4.

12\14: Minor 9th9: Analogous to the diatonic minor seventh, but sharper than usual.

13\14: Major 9th9: A high, incisive leading tone.

14\14: The 10th9 or "enneatonic decave", (i. e., the octave, 2:1).

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=Commas=

14 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < 14 22 33 39 48 52 |.)

14 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < [[tel/14 22 33 39 48 52|14 22 33 39 48 52]] |.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||

||= 2187/2048 ||< | -11 7 > ||> 113.69 ||= Apotome ||= ||

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=**[[modes|Modes]]**=

~~6 6 2 - [[MOSScales|MOS]] of [[2L1s]]~~

5 5 4 - [[MOSScales|MOS]] of [[2L1s]]

5 4 5 - [[MOSScales|MOS]] of [[2L1s]]

~~4 4 4 2 - [[MOSScales|MOS]] of [[3L1s]]~~

~~4 2 4 4 - [[MOSScales|MOS]] of [[3L1s]]~~

4 1 4 4 1 - [[MOSScales|MOS]] of [[3L2s]]

4 1 4 1 4 - [[MOSScales|MOS]] of [[3L2s]]

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3 1 3 3 1 3 - [[MOSScales|MOS]] of [[4L2s]]

3 1 3 1 3 3 - [[MOSScales|MOS]] of [[4L2s]]

~~2 2 2 2 2 2 2 = [[7edo]]~~

2 2 1 2 2 2 2 1 - [[MOSScales|MOS]] of [[6L2s]]

2 2 2 1 2 2 2 1 - [[MOSScales|MOS]] of [[6L2s]]

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NAME

</td>

<td>CENTS

<td>CENTS (coarse/fine)

DMS

</td>

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<td>C^, Dv

</td>

<td>85.714

<td>85.714, 102.857

25°42'51&quot;

</td>

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<td>D

</td>

<td>171.429

<td>171.429, 205.714

51°25'43&quot;

</td>

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<td>D^, Ev

</td>

<td>257.143

<td>257.143, 308.571

77°8'34&quot;

</td>

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<td>E

</td>

<td>342.857

<td>342.857, 411.429

102°51'26&quot;

</td>

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<td>E^, Fv

</td>

<td>428.571

<td>428.571, 514.286

128°34'17&quot;

</td>

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<td>F

</td>

<td>514.286

<td>514.286, 617.143

154°17'9&quot;

</td>

<td style="text-align: center;">19/14

</td>

<td style="text-align: center;">4/3,11/8

<td style="text-align: center;">4/3, 11/8

</td>

<td style="text-align: center;">43

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<td>F^, Gv

</td>

<td>600

<td>600, 720

180°

</td>

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<td>G

</td>

<td>685.714

<td>685.714, 823.857

205°42'51&quot;

</td>

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<td>G^, Av

</td>

<td>771.429

<td>771.429, 925.714

231°25'43&quot;

</td>

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<td>A

</td>

<td>857.143

<td>857.143, 1028.571

257°8'34&quot;

</td>

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<td>A^, Bv

</td>

<td>942.857

<td>942.857, 1131.429

282°51'26&quot;

</td>

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<td>B

</td>

<td>1028.571

<td>1028.571, 1234.286

308°34'17&quot;

</td>

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<td>B^, Cv

</td>

<td>1114.286

<td>1114.286, 1337.143

334°17'9&quot;

</td>

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<td>C

</td>

<td>1200

<td>1200, 1440

360°

</td>

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10\14: Augmented 7th9/diminished 8th9: The third and final characteristic dissonance, analogous to the tritone.

11\14: Perfect 8th9: Represents 5:3, 12:7 and 7:4.

12\14: Minor 9th9: Analogous to the diatonic minor seventh, but sharper than usual.

12\14: Minor 9th9: Analogous to the diatonic minor seventh, but sharper than usual.

13\14: Major 9th9: A high, incisive leading tone.

14\14: The 10th9 or &quot;enneatonic decave&quot;, (i. e., the octave, 2:1).

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<h1 id="toc6"><a name="Commas"></a>Commas</h1>

14 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)

14 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; <a class="wiki_link" href="http://tel.wikispaces.com/14%2022%2033%2039%2048%2052">14 22 33 39 48 52</a> |.)

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<h1 id="toc7"><a name="Modes"></a><a class="wiki_link" href="/modes">Modes</a></h1>

~~6 6 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a> ~~

5 5 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a>

5 4 5 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/2L1s">2L1s</a>

~~4 4 4 2 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/3L1s">3L1s</a> ~~

4 2 4 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/3L1s">3L1s</a>

4 1 4 4 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/3L2s">3L2s</a>

4 1 4 1 4 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/3L2s">3L2s</a>

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3 1 3 3 1 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/4L2s">4L2s</a>

3 1 3 1 3 3 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/4L2s">4L2s</a>

~~2 2 2 2 2 2 2 = <a class="wiki_link" href="/7edo">7edo</a> ~~

2 2 1 2 2 2 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/6L2s">6L2s</a>

2 2 2 1 2 2 2 1 - <a class="wiki_link" href="/MOSScales">MOS</a> of <a class="wiki_link" href="/6L2s">6L2s</a>

@@ 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:MasonGreen1|MasonGreen1]] and made on <tt>2016-07-13 23:42:11 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 15:00:07 UTC</tt>.<br>
-: The original revision id was <tt>586893795</tt>.<br>
+: The original revision id was <tt>597494574</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>
@@ Line 11: / Line 11: @@
 =**Intervals**=
 || **DEGREE** || **NOTE**
-**NAME** || **CENTS**
+**NAME** || **CENTS (coarse/fine)**
 **&lt;span style="background-color: #ffffff;"&gt;DMS&lt;/span&gt;** ||= **Approximate**
 **Ratios 1``*``** ||= **Approximate**
@@ Line 17: / Line 17: @@
 Harmonic || Interval Type ||
 || 0 || C || 0 ||= 1/1 ||= 1/1 ||= 1 || Unison ||
-|| 1 || C^, Dv || 85.714
+|| 1 || C^, Dv || 85.714, 102.857
 °42'51" ||= 20/19, 19/18, 18/17 ||= 22/21, 28/27, 21/20 ||= 67 || Narrow Minor 2nd ||
-|| 2 || D || 171.429
+|| 2 || D || 171.429, 205.714
 &lt;span style="background-color: #ffffff;"&gt;51°25'43"&lt;/span&gt; ||= 11/10, 10/9, 19/17 ||= 9/8, 10/9, 11/10,
 /11 ||= 71 || Neutral 2nd, or
 Narrow Major 2nd ||
-|| 3· || D^, Ev || 257.143
+|| 3· || D^, Ev || 257.143, 308.571
 °8'34" ||= 22/19, 20/17 ||= 7/6, 8/7 ||= 37 || Subminor 3rd ||
-|| 4 || E || 342.857
+|| 4 || E || 342.857, 411.429
 &lt;span style="background-color: #ffffff;"&gt;102°51'26"&lt;/span&gt; ||= 11/9, 17/14 ||= 11/9, 5/4, 6/5 ||= 39 || Neutral 3rd ||
-|| 5· || E^, Fv || 428.571
+|| 5· || E^, Fv || 428.571, 514.286
 &lt;span style="line-height: 15.6000003814697px;"&gt;128°34'17"&lt;/span&gt; ||= 9/7, 14/11, 22/17 ||= 9/7, 14/11 ||= 41 || Supermajor 3rd ||
-|| 6 || F || 51&lt;span style="line-height: 1.5;"&gt;4.286&lt;/span&gt;
+|| 6 || F || 51&lt;span style="line-height: 1.5;"&gt;4.286, 617.143&lt;/span&gt;
-&lt;span style="background-color: #ffffff;"&gt;154°17'9"&lt;/span&gt; ||= 19/14 ||= 4/3,11/8 ||= 43 || Wide 4th ||
+&lt;span style="background-color: #ffffff;"&gt;154°17'9"&lt;/span&gt; ||= 19/14 ||= 4/3, 11/8 ||= 43 || Wide 4th ||
-|| 7· || F^, Gv || 600
+|| 7· || F^, Gv || 600, 720
 ° ||= 7/5, 10/7 ||= 7/5, 10/7 ||= 91 || Tritone ||
-|| 8 || G || 685.714
+|| 8 || G || 685.714, 823.857
 &lt;span style="background-color: #ffffff;"&gt;205°42'51"&lt;/span&gt; ||= 28/19 ||= 3/2, 16/11 ||= 95 || Narrow 5th ||
-|| 9· || G^, Av || 771.429
+|| 9· || G^, Av || 771.429, 925.714
 °25'43" ||= 14/9, 11/7, 17/11 ||=   ||= 25 || Subminor 6th ||
-|| 10 || A || 857.143
+|| 10 || A || 857.143, 1028.571
 &lt;span style="background-color: #ffffff;"&gt;257°8'34"&lt;/span&gt; ||= 18/11 ||= 18/11, 8/5, 5/3 ||= 105 || Neutral 6th ||
-|| 11· || A^, Bv || 942.857
+|| 11· || A^, Bv || 942.857, 1131.429
 °51'26" ||= 19/11, 17/10 ||= 12/7, 7/4 ||= 55 || Supermajor 6th ||
-|| 12 || B || 1028.571
+|| 12 || B || 1028.571, 1234.286
 &lt;span style="background-color: #ffffff;"&gt;308°34'17"&lt;/span&gt; ||= 20/11, 9/5, 34/19 ||= 16/9, 9/5, 20/11,
 /6 ||= 29 || Neutral 7th, or
 Wide Minor 7th ||
-|| 13 || B^, Cv || 1114.286
+|| 13 || B^, Cv || 1114.286, 1337.143
 °17'9" ||= 19/10, 36/19, 17/9 ||= 21/11, 27/14, 40/21 ||= 61 || Wide Major 7th ||
-|| 14··(or 0) || C || 1200
+|| 14··(or 0) || C || 1200, 1440
 ° ||= 2/1 ||= 2/1 ||= 2 || Octave ||
 ``*``based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.
@@ Line 81: / Line 81: @@
 \14: Augmented 7th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;/diminished 8th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: The third and final characteristic dissonance, analogous to the tritone.
 \14: Perfect 8th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: Represents 5:3, 12:7 and 7:4.
 \14: Minor 9th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: Analogous to the diatonic minor seventh, but sharper than usual.
 \14: Major 9th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: A high, incisive leading tone.
 \14: The 10th&lt;span style="vertical-align: sub;"&gt;9 &lt;/span&gt;or "enneatonic decave", (i. e., the octave, 2:1).
@@ Line 99: / Line 99: @@
 =Commas=
-EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val &lt; 14 22 33 39 48 52 |.)
+EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val &lt; [[tel/14 22 33 39 48 52|14 22 33 39 48 52]] |.)
 ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||
 ||= 2187/2048 ||&lt; | -11 7 &gt; ||&gt; 113.69 ||= Apotome ||=   ||
@@ Line 115: / Line 115: @@
 =**[[modes|Modes]]**=
-6 2 - [[MOSScales|MOS]] of [[2L1s]]
 5 4 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[2L1s]]&lt;/span&gt;
 4 5 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[2L1s]]&lt;/span&gt;
-4 4 2 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of [[3L1s]]
-2 4 4 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[3L1s]]&lt;/span&gt;
 1 4 4 1 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of [[3L2s]]
 1 4 1 4 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[3L2s]]&lt;/span&gt;
@@ Line 129: / Line 127: @@
 1 3 3 1 3 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[4L2s]]&lt;/span&gt;
 1 3 1 3 3 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[4L2s]]&lt;/span&gt;
-2 2 2 2 2 2 = [[7edo]]
 2 1 2 2 2 2 1 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of [[6L2s]]
 2 2 1 2 2 2 1 - &lt;span style="cursor: pointer;"&gt;[[MOSScales|MOS]]&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;[[6L2s]]&lt;/span&gt;
@@ Line 175: / Line 172: @@
 &lt;strong&gt;NAME&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;strong&gt;CENTS&lt;/strong&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;CENTS (coarse/fine)&lt;/strong&gt;&lt;br /&gt;
 &lt;strong&gt;&lt;span style="background-color: #ffffff;"&gt;DMS&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 211: / Line 208: @@
          &lt;td&gt;C^, Dv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;85.714&lt;br /&gt;
+         &lt;td&gt;85.714, 102.857&lt;br /&gt;
 °42'51&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 228: / Line 225: @@
          &lt;td&gt;D&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;171.429&lt;br /&gt;
+         &lt;td&gt;171.429, 205.714&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;51°25'43&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 247: / Line 244: @@
          &lt;td&gt;D^, Ev&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;257.143&lt;br /&gt;
+         &lt;td&gt;257.143, 308.571&lt;br /&gt;
 °8'34&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 264: / Line 261: @@
          &lt;td&gt;E&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;342.857&lt;br /&gt;
+         &lt;td&gt;342.857, 411.429&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;102°51'26&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 281: / Line 278: @@
          &lt;td&gt;E^, Fv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;428.571&lt;br /&gt;
+         &lt;td&gt;428.571, 514.286&lt;br /&gt;
 &lt;span style="line-height: 15.6000003814697px;"&gt;128°34'17&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 298: / Line 295: @@
          &lt;td&gt;F&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;51&lt;span style="line-height: 1.5;"&gt;4.286&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;51&lt;span style="line-height: 1.5;"&gt;4.286, 617.143&lt;/span&gt;&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;154°17'9&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19/14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;4/3,11/8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;4/3, 11/8&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;43&lt;br /&gt;
@@ Line 315: / Line 312: @@
          &lt;td&gt;F^, Gv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;600&lt;br /&gt;
+         &lt;td&gt;600, 720&lt;br /&gt;
 °&lt;br /&gt;
 &lt;/td&gt;
@@ Line 332: / Line 329: @@
          &lt;td&gt;G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;685.714&lt;br /&gt;
+         &lt;td&gt;685.714, 823.857&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;205°42'51&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 349: / Line 346: @@
          &lt;td&gt;G^, Av&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;771.429&lt;br /&gt;
+         &lt;td&gt;771.429, 925.714&lt;br /&gt;
 °25'43&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 366: / Line 363: @@
          &lt;td&gt;A&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;857.143&lt;br /&gt;
+         &lt;td&gt;857.143, 1028.571&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;257°8'34&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 383: / Line 380: @@
          &lt;td&gt;A^, Bv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;942.857&lt;br /&gt;
+         &lt;td&gt;942.857, 1131.429&lt;br /&gt;
 °51'26&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 400: / Line 397: @@
          &lt;td&gt;B&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1028.571&lt;br /&gt;
+         &lt;td&gt;1028.571, 1234.286&lt;br /&gt;
 &lt;span style="background-color: #ffffff;"&gt;308°34'17&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 419: / Line 416: @@
          &lt;td&gt;B^, Cv&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1114.286&lt;br /&gt;
+         &lt;td&gt;1114.286, 1337.143&lt;br /&gt;
 °17'9&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 436: / Line 433: @@
          &lt;td&gt;C&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200&lt;br /&gt;
+         &lt;td&gt;1200, 1440&lt;br /&gt;
 °&lt;br /&gt;
 &lt;/td&gt;
@@ Line 482: / Line 479: @@
 \14: Augmented 7th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;/diminished 8th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: The third and final characteristic dissonance, analogous to the tritone.&lt;br /&gt;
 \14: Perfect 8th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: Represents 5:3, 12:7 and 7:4.&lt;br /&gt;
-\14: Minor 9th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: Analogous to the diatonic minor seventh, but sharper than usual. &lt;br /&gt;
+\14: Minor 9th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: Analogous to the diatonic minor seventh, but sharper than usual.&lt;br /&gt;
 \14: Major 9th&lt;span style="vertical-align: sub;"&gt;9&lt;/span&gt;: A high, incisive leading tone.&lt;br /&gt;
 \14: The 10th&lt;span style="vertical-align: sub;"&gt;9 &lt;/span&gt;or &amp;quot;enneatonic decave&amp;quot;, (i. e., the octave, 2:1).&lt;br /&gt;
@@ Line 500: / Line 497: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Commas&lt;/h1&gt;
-EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the val &amp;lt; 14 22 33 39 48 52 |.)&lt;br /&gt;
+EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the val &amp;lt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/14%2022%2033%2039%2048%2052"&gt;14 22 33 39 48 52&lt;/a&gt; |.)&lt;br /&gt;
@@ Line 664: / Line 661: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;&lt;strong&gt;&lt;a class="wiki_link" href="/modes"&gt;Modes&lt;/a&gt;&lt;/strong&gt;&lt;/h1&gt;
-6 2 - &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; of &lt;a class="wiki_link" href="/2L1s"&gt;2L1s&lt;/a&gt;&lt;br /&gt;
+5 4 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/2L1s"&gt;2L1s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
-5 4 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/2L1s"&gt;2L1s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
 4 5 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/2L1s"&gt;2L1s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
-4 4 2 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;a class="wiki_link" href="/3L1s"&gt;3L1s&lt;/a&gt;&lt;br /&gt;
+&lt;br /&gt;
-2 4 4 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/3L1s"&gt;3L1s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
 1 4 4 1 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;a class="wiki_link" href="/3L2s"&gt;3L2s&lt;/a&gt;&lt;br /&gt;
 1 4 1 4 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/3L2s"&gt;3L2s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
@@ Line 678: / Line 673: @@
 1 3 3 1 3 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/4L2s"&gt;4L2s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
 1 3 1 3 3 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/4L2s"&gt;4L2s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;
-2 2 2 2 2 2 = &lt;a class="wiki_link" href="/7edo"&gt;7edo&lt;/a&gt;&lt;br /&gt;
 2 1 2 2 2 2 1 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;a class="wiki_link" href="/6L2s"&gt;6L2s&lt;/a&gt;&lt;br /&gt;
 2 2 1 2 2 2 1 - &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;&lt;/span&gt; of &lt;span style="cursor: pointer;"&gt;&lt;a class="wiki_link" href="/6L2s"&gt;6L2s&lt;/a&gt;&lt;/span&gt;&lt;br /&gt;