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:~~Andrew_Heathwaite~~|~~Andrew_Heathwaite~~]] and made on <tt>~~2014~~-07-24 11:11:53 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 16:30:02 UTC</tt>.

: The original revision id was <tt>~~516971060~~</tt>.

: The original revision id was <tt>545189974</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** ||= **Approximate**

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

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

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

**Ratios 2** **``**``** ||= Nearest

Harmonic || Interval Type ||

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

|| 1 || C^, Dv || 85.714 ||= 20/19, 19/18, 18/17 ||= 22/21, 28/27, 21/20 ||= 67 || Narrow Minor 2nd ||

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

|| 2 || D || 171.429 ||= 11/10, 10/9, 19/17 ||= 9/8, 10/9, 11/10,

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

|| 2 || D || 171.429

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 ||= 22/19, 20/17 ||= 7/6, 8/7 ||= 37 || Subminor 3rd ||

|| 3· || D^, Ev || 257.143

|| 4 || E || 342.857 ||= 11/9, 17/14 ||= 11/9, 5/4, 6/5 ||= 39 || Neutral 3rd ||

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

|| 5· || E^, Fv || 428.571 ||= 9/7, 14/11, 22/17 ||= 9/7, 14/11 ||= 41 || Supermajor 3rd ||

|| 4 || E || 342.857

|| 6 || F || ~~514~~.286 ||= 19/14 ||= 4/3,11/8 ||= 43 || Wide 4th ||

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

|| 7· || F^, Gv || 600 ||= 7/5, 10/7 ||= 7/5, 10/7 ||= 91 || Tritone ||

|| 5· || E^, Fv || 428.571

|| 8 || G || 685.714 ||= 28/19 ||= 3/2, 16/11 ||= 95 || Narrow 5th ||

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

|| 9· || G^, Av || 771.429 ||= 14/9, 11/7, 17/11 ||= ~~11/7, 14/9~~ ||= 25 || Subminor 6th ||

|| 6 || F || 514.286

|| 10 || A || 857.143 ||= 18/11 ||= 18/11, 8/5, 5/3 ||= 105 || Neutral 6th ||

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

|| 11· || A^, Bv || 942.857 ||= 19/11, 17/10 ||= 12/7, 7/4 ||= 55 || Supermajor 6th ||

|| 7· || F^, Gv || 600

|| 12 || B || 1028.571 ||= 20/11, 9/5, 34/19 ||= 16/9, 9/5, 20/11,

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

|| 8 || G || 685.714

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

|| 9· || G^, Av || 771.429

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

|| 10 || A || 857.143

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

|| 11· || A^, Bv || 942.857

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

|| 12 || B || 1028.571

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

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

|| 14··(or 0) || C || 1200 ||= 2/1 ||= 2/1 ||= 2 || Octave ||

234°17'9" ||= 19/10, 36/19, 17/9 ||= 21/11, 27/14, 40/21 ||= 61 || Wide Major 7th ||

|| 14··(or 0) || C || 1200

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.

**``**`` **based on treating 14edo as an 11-limit temperament

``**``

based on treating 14edo as an 11-limit temperament

[[media type="custom" key="24802838"]]

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</td>

<td>CENTS

DMS

</td>

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

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</td>

<td>85.714

25°42'51&quot;

</td>

<td style="text-align: center;">20/19, 19/18, 18/17

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</td>

<td>171.429

51°25'43&quot;

</td>

<td style="text-align: center;">11/10, 10/9, 19/17

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</td>

<td>257.143

77°8'34&quot;

</td>

<td style="text-align: center;">22/19, 20/17

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</td>

<td>342.857

102°51'26&quot;

</td>

<td style="text-align: center;">11/9, 17/14

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</td>

<td>428.571

128°34'17&quot;

</td>

<td style="text-align: center;">9/7, 14/11, 22/17

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<td>F

</td>

<td>~~514~~.286

<td>514.286

154°17'9&quot;

</td>

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

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</td>

<td>600

180°

</td>

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

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</td>

<td>685.714

205°42'51&quot;

</td>

<td style="text-align: center;">28/19

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</td>

<td>771.429

231°25'43&quot;

</td>

<td style="text-align: center;">14/9, 11/7, 17/11

</td>

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

</td>

<td style="text-align: center;">25

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</td>

<td>857.143

257°8'34&quot;

</td>

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

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</td>

<td>942.857

282°51'26&quot;

</td>

<td style="text-align: center;">19/11, 17/10

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</td>

<td>1028.571

308°34'17&quot;

</td>

<td style="text-align: center;">20/11, 9/5, 34/19

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</td>

<td>1114.286

234°17'9&quot;

</td>

<td style="text-align: center;">19/10, 36/19, 17/9

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</td>

<td>1200

360°

</td>

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

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*based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 <a class="wiki_link" href="/subgroup">subgroup</a>; other approaches are possible.

~~~~** </~~strong~~>based on treating 14edo as an 11-limit temperament

**

based on treating 14edo as an 11-limit temperament

<object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/14ed2-001.svg">alt : Your browser has no SVG support.</object>

@@ 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2014-07-24 11:11:53 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 16:30:02 UTC</tt>.<br>
-: The original revision id was <tt>516971060</tt>.<br>
+: The original revision id was <tt>545189974</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 9: / Line 9: @@
 =**Intervals**=
 || **DEGREE** || **NOTE**
-**NAME** || **CENTS** ||= **Approximate**
+**NAME** || **CENTS**
+**&lt;span style="background-color: #ffffff;"&gt;DMS&lt;/span&gt;** ||= **Approximate**
 **Ratios 1``*``** ||= **Approximate**
 **Ratios 2** **``**``** ||= Nearest
 Harmonic || Interval Type ||
 || 0 || C || 0 ||= 1/1 ||= 1/1 ||= 1 || Unison ||
-|| 1 || C^, Dv || 85.714 ||= 20/19, 19/18, 18/17 ||= 22/21, 28/27, 21/20 ||= 67 || Narrow Minor 2nd ||
+|| 1 || C^, Dv || 85.714
-|| 2 || D || 171.429 ||= 11/10, 10/9, 19/17 ||= 9/8, 10/9, 11/10,
+°42'51" ||= 20/19, 19/18, 18/17 ||= 22/21, 28/27, 21/20 ||= 67 || Narrow Minor 2nd ||
+|| 2 || D || 171.429
+&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 ||= 22/19, 20/17 ||= 7/6, 8/7 ||= 37 || Subminor 3rd ||
+|| 3· || D^, Ev || 257.143
-|| 4 || E || 342.857 ||= 11/9, 17/14 ||= 11/9, 5/4, 6/5 ||= 39 || Neutral 3rd ||
+°8'34" ||= 22/19, 20/17 ||= 7/6, 8/7 ||= 37 || Subminor 3rd ||
-|| 5· || E^, Fv || 428.571 ||= 9/7, 14/11, 22/17 ||= 9/7, 14/11 ||= 41 || Supermajor 3rd ||
+|| 4 || E || 342.857
-|| 6 || F || 514.286 ||= 19/14 ||= 4/3,11/8 ||= 43 || Wide 4th ||
+&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 ||
-|| 7· || F^, Gv || 600 ||= 7/5, 10/7 ||= 7/5, 10/7 ||= 91 || Tritone ||
+|| 5· || E^, Fv || 428.571
-|| 8 || G || 685.714 ||= 28/19 ||= 3/2, 16/11 ||= 95 || Narrow 5th ||
+&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 ||
-|| 9· || G^, Av || 771.429 ||= 14/9, 11/7, 17/11 ||= 11/7, 14/9 ||= 25 || Subminor 6th ||
+|| 6 || F || 51&lt;span style="line-height: 1.5;"&gt;4.286&lt;/span&gt;
-|| 10 || A || 857.143 ||= 18/11 ||= 18/11, 8/5, 5/3 ||= 105 || Neutral 6th ||
+&lt;span style="background-color: #ffffff;"&gt;154°17'9"&lt;/span&gt; ||= 19/14 ||= 4/3,11/8 ||= 43 || Wide 4th ||
-|| 11· || A^, Bv || 942.857 ||= 19/11, 17/10 ||= 12/7, 7/4 ||= 55 || Supermajor 6th ||
+|| 7· || F^, Gv || 600
-|| 12 || B || 1028.571 ||= 20/11, 9/5, 34/19 ||= 16/9, 9/5, 20/11,
+° ||= 7/5, 10/7 ||= 7/5, 10/7 ||= 91 || Tritone ||
+|| 8 || G || 685.714
+&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
+°25'43" ||= 14/9, 11/7, 17/11 ||=   ||= 25 || Subminor 6th ||
+|| 10 || A || 857.143
+&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
+°51'26" ||= 19/11, 17/10 ||= 12/7, 7/4 ||= 55 || Supermajor 6th ||
+|| 12 || B || 1028.571
+&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 ||= 19/10, 36/19, 17/9 ||= 21/11, 27/14, 40/21 ||= 61 || Wide Major 7th ||
+|| 13 || B^, Cv || 1114.286
-|| 14··(or 0) || C || 1200 ||= 2/1 ||= 2/1 ||= 2 || Octave ||
+°17'9" ||= 19/10, 36/19, 17/9 ||= 21/11, 27/14, 40/21 ||= 61 || Wide Major 7th ||
+|| 14··(or 0) || C || 1200
+° ||= 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.
-**&lt;span style="text-align: center;"&gt;``**`` &lt;/span&gt;**based on treating 14edo as an 11-limit temperament
+&lt;span style="display: block; text-align: center;"&gt;``**``&lt;/span&gt;
+based on treating 14edo as an 11-limit temperament
 [[media type="custom" key="24802838"]]
@@ Line 135: / Line 151: @@
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;CENTS&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;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;Approximate&lt;/strong&gt;&lt;br /&gt;
@@ Line 170: / Line 187: @@
 &lt;/td&gt;
          &lt;td&gt;85.714&lt;br /&gt;
+°42'51&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;20/19, 19/18, 18/17&lt;br /&gt;
@@ Line 186: / Line 204: @@
 &lt;/td&gt;
          &lt;td&gt;171.429&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;51°25'43&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/10, 10/9, 19/17&lt;br /&gt;
@@ Line 204: / Line 223: @@
 &lt;/td&gt;
          &lt;td&gt;257.143&lt;br /&gt;
+°8'34&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;22/19, 20/17&lt;br /&gt;
@@ Line 220: / Line 240: @@
 &lt;/td&gt;
          &lt;td&gt;342.857&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;102°51'26&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/9, 17/14&lt;br /&gt;
@@ Line 236: / Line 257: @@
 &lt;/td&gt;
          &lt;td&gt;428.571&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;
          &lt;td style="text-align: center;"&gt;9/7, 14/11, 22/17&lt;br /&gt;
@@ Line 251: / Line 273: @@
          &lt;td&gt;F&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;514.286&lt;br /&gt;
+         &lt;td&gt;51&lt;span style="line-height: 1.5;"&gt;4.286&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;
@@ Line 268: / Line 291: @@
 &lt;/td&gt;
          &lt;td&gt;600&lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
@@ Line 284: / Line 308: @@
 &lt;/td&gt;
          &lt;td&gt;685.714&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;205°42'51&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;28/19&lt;br /&gt;
@@ Line 300: / Line 325: @@
 &lt;/td&gt;
          &lt;td&gt;771.429&lt;br /&gt;
+°25'43&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;14/9, 11/7, 17/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;11/7, 14/9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
@@ Line 316: / Line 342: @@
 &lt;/td&gt;
          &lt;td&gt;857.143&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;257°8'34&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;18/11&lt;br /&gt;
@@ Line 332: / Line 359: @@
 &lt;/td&gt;
          &lt;td&gt;942.857&lt;br /&gt;
+°51'26&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19/11, 17/10&lt;br /&gt;
@@ Line 348: / Line 376: @@
 &lt;/td&gt;
          &lt;td&gt;1028.571&lt;br /&gt;
+&lt;span style="background-color: #ffffff;"&gt;308°34'17&amp;quot;&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;20/11, 9/5, 34/19&lt;br /&gt;
@@ Line 366: / Line 395: @@
 &lt;/td&gt;
          &lt;td&gt;1114.286&lt;br /&gt;
+°17'9&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19/10, 36/19, 17/9&lt;br /&gt;
@@ Line 382: / Line 412: @@
 &lt;/td&gt;
          &lt;td&gt;1200&lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
@@ Line 395: / Line 426: @@
 &lt;!-- ws:start:WikiTextRawRule:02:``*`` --&gt;*&lt;!-- ws:end:WikiTextRawRule:02 --&gt;based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 &lt;a class="wiki_link" href="/subgroup"&gt;subgroup&lt;/a&gt;; other approaches are possible.&lt;br /&gt;
-&lt;strong&gt;&lt;span style="text-align: center;"&gt;&lt;!-- ws:start:WikiTextRawRule:03:``**`` --&gt;**&lt;!-- ws:end:WikiTextRawRule:03 --&gt; &lt;/span&gt;&lt;/strong&gt;based on treating 14edo as an 11-limit temperament&lt;br /&gt;
+&lt;span style="display: block; text-align: center;"&gt;&lt;!-- ws:start:WikiTextRawRule:03:``**`` --&gt;**&lt;!-- ws:end:WikiTextRawRule:03 --&gt;&lt;/span&gt;&lt;br /&gt;
+based on treating 14edo as an 11-limit temperament&lt;br /&gt;
 &lt;!-- ws:start:WikiTextMediaRule:4:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24802838?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24802838&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/14ed2-001.svg"&gt;alt : Your browser has no SVG support.&lt;/object&gt;&lt;!-- ws:end:WikiTextMediaRule:4 --&gt;&lt;br /&gt;
 &lt;br /&gt;