5edo: 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:~~spt3125~~|~~spt3125~~]] and made on <tt>~~2014~~-01-~~05 11~~:53:22 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 00:40:33 UTC</tt>.

: The original revision id was <tt>~~480694862~~</tt>.

: The original revision id was <tt>545083594</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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**in fifths of**

**an octave** || **Interval**

**in ¢** || **Closest**

**in ¢, DMS** || **Closest**

**diatonic**

**interval name** || **The "neighborhood" of just intervals** ||

|| 0 || 0.0 || unison / prime || exactly 1/1 ||

|| 0 || 0.0, 0° || unison / prime || exactly 1/1 ||

|| 1 || 240.0 || second / third || +8.826 c from septimal second 8/7

|| 1 || 240.0.

-4.969 c from diminished third 144/125

72° || second / third || +8.826 c, +2°38'52" from septimal second 8/7

-13.076 c from augmented second 125/108

-4.969 c, -1°29'26" from diminished third 144/125

-26.871 c from septimal minor third 7/6 ||

-13.076 c, -3°55'22" from augmented second 125/108

|| 2 || 480.0 || fourth || +9.219 c from narrow fourth 21/16

-26.871 c, -8°3'41" from septimal minor third 7/6 ||

-0.686 c from smaller fourth 33/25

|| 2 || 480.0,

-18.045 c from just fourth 4/3 ||

144° || fourth || +9.219 c, +2°45'57" from narrow fourth 21/16

|| 3 || 720.0 || fifth || +18.045 c from just fifth 3/2

-0.686 c, -11'37" from smaller fourth 33/25

+0.686 c from bigger fifth 50/33

-18.045 c, -5°24'49" from just fourth 4/3 ||

-9.219 c from wide fifth 32/21 ||

|| 3 || 720.0,

|| 4 || 960.0 || sixth, seventh || 26.871 c from septimal major sixth 12/7

216° || fifth || +18.045 c, +5°24'49" from just fifth 3/2

13.076 c from diminished seventh 216/125

+0.686 c, +11'37" from bigger fifth 50/33

4.969 c from augmented sixth 125/72

-9.219 c, +2°45'57" from wide fifth 32/21 ||

-8.826 c from septimal seventh 7/4 ||

|| 4 || 960.0,

|| 5 || 1200.0 || eighth || exactly 2/1 ||

288° || sixth, seventh || 26.871 c, 8°3'41" from septimal major sixth 12/7

13.076 c, 3°55'22" from diminished seventh 216/125

4.969 c, 1°29'26" from augmented sixth 125/72

-8.826 c, -2°38'52" from septimal seventh 7/4 ||

|| 5 || 1200.0,

360° || eighth || exactly 2/1 ||

[[media type="custom" key="24802268"]]

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</td>

<td>Interval

in ¢

in ¢, DMS

</td>

<td>Closest

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<td>0

</td>

<td>0.0

<td>0.0, 0°

</td>

<td>unison / prime

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<td>1

</td>

<td>240.0

<td>240.0.

72°

</td>

<td>second / third

</td>

<td>+8.826 c from septimal second 8/7

<td>+8.826 c, +2°38'52&quot; from septimal second 8/7

-4.969 c from diminished third 144/125

-4.969 c, -1°29'26&quot; from diminished third 144/125

-13.076 c from augmented second 125/108

-13.076 c, -3°55'22&quot; from augmented second 125/108

-26.871 c from septimal minor third 7/6

-26.871 c, -8°3'41&quot; from septimal minor third 7/6

</td>

</tr>

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<td>2

</td>

<td>480.0

<td>480.0,

144°

</td>

<td>fourth

</td>

<td>+9.219 c from narrow fourth 21/16

<td>+9.219 c, +2°45'57&quot; from narrow fourth 21/16

-0.686 c from smaller fourth 33/25

-0.686 c, -11'37&quot; from smaller fourth 33/25

-18.045 c from just fourth 4/3

-18.045 c, -5°24'49&quot; from just fourth 4/3

</td>

</tr>

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<td>3

</td>

<td>720.0

<td>720.0,

216°

</td>

<td>fifth

</td>

<td>+18.045 c from just fifth 3/2

<td>+18.045 c, +5°24'49&quot; from just fifth 3/2

+0.686 c from bigger fifth 50/33

+0.686 c, +11'37&quot; from bigger fifth 50/33

-9.219 c from wide fifth 32/21

-9.219 c, +2°45'57&quot; from wide fifth 32/21

</td>

</tr>

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<td>4

</td>

<td>960.0

<td>960.0,

288°

</td>

<td>sixth, seventh

</td>

<td>26.871 c from septimal major sixth 12/7

<td>26.871 c, 8°3'41&quot; from septimal major sixth 12/7

13.076 c from diminished seventh 216/125

13.076 c, 3°55'22&quot; from diminished seventh 216/125

4.969 c from augmented sixth 125/72

4.969 c, 1°29'26&quot; from augmented sixth 125/72

-8.826 c from septimal seventh 7/4

-8.826 c, -2°38'52&quot; from septimal seventh 7/4

</td>

</tr>

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<td>5

</td>

<td>1200.0

<td>1200.0,

360°

</td>

<td>eighth

@@ 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:spt3125|spt3125]] and made on <tt>2014-01-05 11:53:22 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-24 00:40:33 UTC</tt>.<br>
-: The original revision id was <tt>480694862</tt>.<br>
+: The original revision id was <tt>545083594</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 23: / Line 23: @@
 **in fifths of**
 **an octave** || **Interval**
-**in ¢** || **Closest**
+**in ¢, DMS** || **Closest**
 **diatonic**
 **interval name** || **The "neighborhood" of just intervals** ||
-|| 0 || 0.0 || unison / prime || exactly 1/1 ||
+|| 0 || 0.0, 0° || unison / prime || exactly 1/1 ||
-|| 1 || 240.0 || second / third || +8.826 c from septimal second 8/7
+|| 1 || 240.0.
--4.969 c from diminished third 144/125
+° || second / third || +8.826 c, +2°38'52" from septimal second 8/7
--13.076 c from augmented second 125/108
+-4.969 c, -1°29'26" from diminished third 144/125
--26.871 c from septimal minor third 7/6 ||
+-13.076 c, -3&lt;span style="line-height: 1.5;"&gt;°55'22"&lt;/span&gt; from augmented second 125/108
-|| 2 || 480.0 || fourth || +9.219 c from narrow fourth 21/16
+-26.871 c, -8&lt;span style="line-height: 1.5;"&gt;°3'41"&lt;/span&gt; from septimal minor third 7/6 ||
--0.686 c from smaller fourth 33/25
+|| 2 || 480.0,
--18.045 c from just fourth 4/3 ||
+° || fourth || +9.219 c, +2°45'57" from narrow fourth 21/16
-|| 3 || 720.0 || fifth || +18.045 c from just fifth 3/2
+-0.686 c, -11'37" from smaller fourth 33/25
-+0.686 c from bigger fifth 50/33
+-18.045 c, -5°24'49" from just fourth 4/3 ||
--9.219 c from wide fifth 32/21 ||
+|| 3 || 720.0,
-|| 4 || 960.0 || sixth, seventh || 26.871 c from septimal major sixth 12/7
+° || fifth || +18.045 c, +5°24'49" from just fifth 3/2
-.076 c from diminished seventh 216/125
++0.686 c&lt;span style="line-height: 1.5;"&gt;, +11'37" &lt;/span&gt;from bigger fifth 50/33
-.969 c from augmented sixth 125/72
+-9.219 c&lt;span style="line-height: 1.5;"&gt;, +2°45'57" &lt;/span&gt;from wide fifth 32/21 ||
--8.826 c from septimal seventh 7/4 ||
+|| 4 || 960.0,
-|| 5 || 1200.0 || eighth || exactly 2/1 ||
+° || sixth, seventh || 26.871 c, 8°3'41" from septimal major sixth 12/7
+.076 c, 3°55'22" from diminished seventh 216/125
+.969 c&lt;span style="line-height: 1.5;"&gt;, 1°29'26" &lt;/span&gt;from augmented sixth 125/72
+-8.826 c, -2°38'52" from septimal seventh 7/4 ||
+|| 5 || 1200.0,
+° || eighth || exactly 2/1 ||
 [[media type="custom" key="24802268"]]
@@ Line 149: / Line 154: @@
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;Interval&lt;/strong&gt;&lt;br /&gt;
-&lt;strong&gt;in ¢&lt;/strong&gt;&lt;br /&gt;
+&lt;strong&gt;in ¢, DMS&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;strong&gt;Closest&lt;/strong&gt;&lt;br /&gt;
@@ Line 161: / Line 166: @@
          &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0.0&lt;br /&gt;
+         &lt;td&gt;0.0, 0°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;unison / prime&lt;br /&gt;
@@ Line 171: / Line 176: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;240.0&lt;br /&gt;
+         &lt;td&gt;240.0. &lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;second / third&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+8.826 c from septimal second 8/7&lt;br /&gt;
+         &lt;td&gt;+8.826 c, +2°38'52&amp;quot; from septimal second 8/7&lt;br /&gt;
--4.969 c from diminished third 144/125&lt;br /&gt;
+-4.969 c, -1°29'26&amp;quot; from diminished third 144/125&lt;br /&gt;
--13.076 c from augmented second 125/108&lt;br /&gt;
+-13.076 c, -3&lt;span style="line-height: 1.5;"&gt;°55'22&amp;quot;&lt;/span&gt; from augmented second 125/108&lt;br /&gt;
--26.871 c from septimal minor third 7/6&lt;br /&gt;
+-26.871 c, -8&lt;span style="line-height: 1.5;"&gt;°3'41&amp;quot;&lt;/span&gt; from septimal minor third 7/6&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 184: / Line 190: @@
          &lt;td&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;480.0&lt;br /&gt;
+         &lt;td&gt;480.0, &lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;fourth&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+9.219 c from narrow fourth 21/16&lt;br /&gt;
+         &lt;td&gt;+9.219 c, +2°45'57&amp;quot; from narrow fourth 21/16&lt;br /&gt;
--0.686 c from smaller fourth 33/25&lt;br /&gt;
+-0.686 c, -11'37&amp;quot; from smaller fourth 33/25&lt;br /&gt;
--18.045 c from just fourth 4/3&lt;br /&gt;
+-18.045 c, -5°24'49&amp;quot; from just fourth 4/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 196: / Line 203: @@
          &lt;td&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;720.0&lt;br /&gt;
+         &lt;td&gt;720.0, &lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;fifth&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;+18.045 c from just fifth 3/2&lt;br /&gt;
+         &lt;td&gt;+18.045 c, +5°24'49&amp;quot; from just fifth 3/2&lt;br /&gt;
-+0.686 c from bigger fifth 50/33&lt;br /&gt;
++0.686 c&lt;span style="line-height: 1.5;"&gt;, +11'37&amp;quot; &lt;/span&gt;from bigger fifth 50/33&lt;br /&gt;
--9.219 c from wide fifth 32/21&lt;br /&gt;
+-9.219 c&lt;span style="line-height: 1.5;"&gt;, +2°45'57&amp;quot; &lt;/span&gt;from wide fifth 32/21&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 208: / Line 216: @@
          &lt;td&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;960.0&lt;br /&gt;
+         &lt;td&gt;960.0, &lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;sixth, seventh&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;26.871 c from septimal major sixth 12/7&lt;br /&gt;
+         &lt;td&gt;26.871 c, 8°3'41&amp;quot; from septimal major sixth 12/7&lt;br /&gt;
-.076 c from diminished seventh 216/125&lt;br /&gt;
+.076 c, 3°55'22&amp;quot; from diminished seventh 216/125&lt;br /&gt;
-.969 c from augmented sixth 125/72&lt;br /&gt;
+.969 c&lt;span style="line-height: 1.5;"&gt;, 1°29'26&amp;quot; &lt;/span&gt;from augmented sixth 125/72&lt;br /&gt;
--8.826 c from septimal seventh 7/4&lt;br /&gt;
+-8.826 c, -2°38'52&amp;quot; from septimal seventh 7/4&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 221: / Line 230: @@
          &lt;td&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200.0&lt;br /&gt;
+         &lt;td&gt;1200.0, &lt;br /&gt;
+°&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;eighth&lt;br /&gt;