7edo: 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:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>2016-12-~~04 07~~:19:43 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 03:46:25 UTC</tt>.

: The original revision id was <tt>~~601322622~~</tt>.

: The original revision id was <tt>602737874</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 in 7-edo=

|| **Interval** || **Interval**

|| **Interval** || **Cents** || **Closest diatonic**

~~**size**~~

**in ¢ (coarse, fine), DMS** || **Closest**

**diatonic**

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

|| 0 || 0~~.0, 0°~~ || unison / prime || exactly 1/1 ||

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

|| 1 || 171.429~~, 205.714, 51°25'43"~~ || second || 6.~~424 c (coarse), 7.709 c (fine), 1°55'38"~~ from Ptolemy (neutral) second 11/10

|| 1 || 171.429 || second || 6.424¢ from Ptolemy (neutral) second 11/10

3.~~215 c (coarse), 3.8585 c (fine), 57'53"~~ from second 54/49

3.215¢ from second 54/49

-1.~~006 c (coarse), -1.207 c (fine), -18'6"~~ from the 29th subharmonic 32/29

-1.006¢ from the 29th subharmonic 32/29

-10.975 ~~c (coarse), -13.17 c (fine), -3°17'33"~~ from ~~(Didymus)~~ major second (small whole tone) 10/9 ||

-10.975¢ from major second (small whole tone) 10/9 ||

|| 2 || 342.857~~, 411.429,~~

|| 2 || 342.857 || third || -4.55¢ from neutral third 11/9 ||

~~102°51'26"~~ || third || -4.~~551 c (coarse), -5.461 c (fine), -1°21'55"~~ from neutral third 11/9 ||

|| 3 || 514.286 || fourth || 16.24¢ from just fourth 4/3 (498.045¢)

|| 3 || 514.286~~, 617.143,~~

-5.265¢ from wide fourth 27/20 ||

~~154°17'9"~~ || fourth || 16.~~241 c (coarse), 19.489 c (fine), 4°52'20"~~ from just fourth 4/3 (498.~~045 c coarse, 597.654 c fine~~)

|| 4 || 685.714 || fifth || 5.265 ¢ from narrow fifth 40/27

-5.~~265 c (coarse), -6.319 c (fine), -1°34'47"~~ from wide fourth 27/20 ||

-16.241¢ from just fifth 3/2 (701.955¢) ||

|| 4 || 685.714~~, 822.857,~~

|| 5 || 857.143 || sixth || 4.551¢ from neutral sixth 18/11 ||

~~205°42'51"~~ || fifth || 5.265 ~~c (coarse), 6.319 c (fine), 1°34'47"~~ from narrow fifth 40/27

|| 6 || 1028.571 || seventh || 10.975¢ from (Didymus) minor seventh 9/5

-16.~~241 c (coarse), -19.489 c (fine)~~~~, -4°52'20"~~ from just fifth 3/2 (701.~~955 c coarse, 842.346 c fine~~) ||

-6.424¢ from neutral seventh 20/11

|| 5 || 857.143~~, 1028.571,~~

1.006¢ from the 29th harmonic 29/16

~~257°8'34"~~ || sixth || 4.~~551 c (coarse), 5.461 c (fine), 1°21'55"~~ from neutral sixth 18/11 ||

-3.215¢ from seventh 49/27 ||

|| 6 || 1028.571~~, 1234.286,~~

|| 7 (0) || 1200 || eighth || exactly 2/1 ||

~~ 308°34'17"1~~ || seventh || 10.~~975 c (coarse), 13.17 c (fine), 3°17'33"~~ from (Didymus) minor seventh 9/5

-6.~~424 c (coarse), -7.709 c (fine), -1°55'38"~~ from neutral seventh 20/11

1.~~006 c (coarse), 1.207 c (fine), 18'6"~~ from the 29th harmonic 29/16

-3.~~215 c (coarse), -3.8585 c (fine), -57'53"~~ from seventh 49/27 ||

|| 7 (0) || 1200~~.0, 360º~~ || eighth || exactly 2/1 ||

[[media type="custom" key="24802290"]]

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<td>Interval

</td>

<td>~~Interval ~~

<td>Cents

~~size ~~

~~in ¢ (coarse, fine), DMS~~

</td>

<td>Closest~~ ~~

<td>Closest diatonic

~~~~diatonic

interval name

</td>

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<td>0

</td>

<td>0~~.0, 0°~~

<td>0

</td>

<td>unison / prime

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<td>1

</td>

<td>171.429~~, 205.714, 51°25'43&quot;~~

<td>171.429

</td>

<td>second

</td>

<td>6.~~424 c (coarse), 7.709 c (fine), 1°55'38&quot;~~ from Ptolemy (neutral) second 11/10

<td>6.424¢ from Ptolemy (neutral) second 11/10

3.~~215 c (coarse), 3.8585 c (fine), 57'53&quot;~~ from second 54/49

3.215¢ from second 54/49

-1.~~006 c (coarse), -1.207 c (fine), -18'6&quot;~~ from the 29th subharmonic 32/29

-1.006¢ from the 29th subharmonic 32/29

-10.975 ~~c (coarse), -13.17 c (fine), -3°17'33&quot;~~ from ~~(Didymus)~~ major second (small whole tone) 10/9

-10.975¢ from major second (small whole tone) 10/9

</td>

</tr>

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<td>2

</td>

<td>342.857~~, 411.429, ~~

<td>342.857

~~102°51'26&quot;~~

</td>

<td>third

</td>

<td>-4.~~551 c (coarse), -5.461 c (fine), -1°21'55&quot;~~ from neutral third 11/9

<td>-4.55¢ from neutral third 11/9

</td>

</tr>

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<td>3

</td>

<td>514.286~~, 617.143, ~~

<td>514.286

~~154°17'9&quot;~~

</td>

<td>fourth

</td>

<td>16.~~241 c (coarse), 19.489 c (fine), 4°52'20&quot;~~ from just fourth 4/3 (498.~~045 c coarse, 597.654 c fine~~)

<td>16.24¢ from just fourth 4/3 (498.045¢)

-5.~~265 c (coarse), -6.319 c (fine), -1°34'47&quot;~~ from wide fourth 27/20

-5.265¢ from wide fourth 27/20

</td>

</tr>

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<td>4

</td>

<td>685.714~~, 822.857, ~~

<td>685.714

~~205°42'51&quot;~~

</td>

<td>fifth

</td>

<td>5.265 ~~c (coarse), 6.319 c (fine), 1°34'47&quot;~~ from narrow fifth 40/27

<td>5.265 ¢ from narrow fifth 40/27

-16.~~241 c (coarse), -19.489 c (fine)~~

-16.241¢ from just fifth 3/2 (701.955¢)

</td>

</tr>

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<td>5

</td>

<td>857.143~~, 1028.571, ~~

<td>857.143

~~257°8'34&quot;~~

</td>

<td>sixth

</td>

<td>4.~~551 c (coarse), 5.461 c (fine), 1°21'55&quot;~~ from neutral sixth 18/11

<td>4.551¢ from neutral sixth 18/11

</td>

</tr>

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<td>6

</td>

<td>1028.571~~, 1234.286, ~~

<td>1028.571

~~ 308°34'17&quot;1~~

</td>

<td>seventh

</td>

<td>10.~~975 c (coarse), 13.17 c (fine), 3°17'33&quot;~~ from (Didymus) minor seventh 9/5

<td>10.975¢ from (Didymus) minor seventh 9/5

-6.~~424 c (coarse), -7.709 c (fine), -1°55'38&quot;~~ from neutral seventh 20/11

-6.424¢ from neutral seventh 20/11

1.~~006 c (coarse), 1.207 c (fine), 18'6&quot;~~ from the 29th harmonic 29/16

1.006¢ from the 29th harmonic 29/16

-3.~~215 c (coarse), -3.8585 c (fine), -57'53&quot;~~ from seventh 49/27

-3.215¢ from seventh 49/27

</td>

</tr>

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<td>7 (0)

</td>

<td>1200~~.0, 360º~~

<td>1200

</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:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 07:19:43 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 03:46:25 UTC</tt>.<br>
-: The original revision id was <tt>601322622</tt>.<br>
+: The original revision id was <tt>602737874</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 27: / Line 27: @@
 =Intervals in 7-edo=
-|| **Interval** || **Interval**
+|| **Interval** || **Cents** || **Closest diatonic**
-**size**
-**in ¢ (coarse, fine), DMS** || **Closest**
-**diatonic**
 **interval name** || **The "neighborhood" of just intervals** ||
-|| 0 || 0.0, 0° || unison / prime || exactly 1/1 ||
+|| 0 || 0 || unison / prime || exactly 1/1 ||
-|| 1 || 171.429, 205.714, 51°25'43" || second || 6.424 c (coarse), 7.709 c (fine), 1°55'38" from Ptolemy (neutral) second 11/10
+|| 1 || 171.429 || second || 6.424¢ from Ptolemy (neutral) second 11/10
-.215 c (coarse), 3.8585 c (fine), 57'53" from second 54/49
+.215¢ from second 54/49
--1.006 c (coarse), -1.207 c (fine), -18'6" from the 29th subharmonic 32/29
+-1.006¢ from the 29th subharmonic 32/29
--10.975&lt;span style="line-height: 1.5;"&gt; c (coarse), -13.17 c (fine), -3°17'33" from (Didymus) major second (small whole tone) 10/9&lt;/span&gt; ||
+-10.975&lt;span style="line-height: 1.5;"&gt;¢ from major second (small whole tone) 10/9&lt;/span&gt; ||
-|| 2 || 342.857, 411.429,
+|| 2 || 342.857 || third || -4.55¢ from neutral third 11/9 ||
-°51'26" || third || -4.551 c (coarse), -5.461 c (fine), -1°21'55" from neutral third 11/9 ||
+|| 3 || 514.286 || fourth || 16.24¢ from just fourth 4/3 (498.045¢)
-|| 3 || 514.286, 617.143,
+-5.265¢ from wide fourth 27/20 ||
-°17'9" || fourth || 16.241 c (coarse), 19.489 c (fine), 4°52'20" from just fourth 4/3 (498.045 c coarse, 597.654 c fine)
+|| 4 || 685.714 || fifth || 5.265 ¢ from narrow fifth 40/27
--5.265 c (coarse), -6.319 c (fine), -1°34'47" from wide fourth 27/20 ||
+-16.241¢&lt;span style="line-height: 1.5;"&gt; from just fifth 3/2 (701.955¢)&lt;/span&gt; ||
-|| 4 || 685.714, 822.857,
+|| 5 || 857.143 || sixth || 4.551¢ from neutral sixth 18/11 ||
-°42'51" || fifth || 5.265 c (coarse), 6.319 c (fine), 1°34'47" from narrow fifth 40/27
+|| 6 || 1028.571 || seventh || 10.975¢ from (Didymus) minor seventh 9/5
--16.241 c (coarse), -19.489 c (fine)&lt;span style="line-height: 1.5;"&gt;, -4°52'20" from just fifth 3/2 (701.955 c coarse, 842.346 c fine)&lt;/span&gt; ||
+-6.424¢ from neutral seventh 20/11
-|| 5 || 857.143, 1028.571,
+.006¢ from the 29th harmonic 29/16
-°8'34" || sixth || 4.551 c (coarse), 5.461 c (fine), 1°21'55" from neutral sixth 18/11 ||
+-3.215¢ from seventh 49/27 ||
-|| 6 || 1028.571&lt;span style="line-height: 1.5;"&gt;, 1234.286,&lt;/span&gt;
+|| 7 (0) || 1200 || eighth || exactly 2/1 ||
-&lt;span style="line-height: 1.5;"&gt; 308°34'17"1&lt;/span&gt; || seventh || 10.975 c (coarse), 13.17 c (fine), 3°17'33" from (Didymus) minor seventh 9/5
--6.424 c (coarse), -7.709 c (fine), -1°55'38" from neutral seventh 20/11
-.006 c (coarse), 1.207 c (fine), 18'6" from the 29th harmonic 29/16
--3.215 c (coarse), -3.8585 c (fine), -57'53" from seventh 49/27 ||
-|| 7 (0) || 1200.0, 360º || eighth || exactly 2/1 ||
 [[media type="custom" key="24802290"]]
@@ Line 149: / Line 141: @@
          &lt;td&gt;&lt;strong&gt;Interval&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;strong&gt;Interval&lt;/strong&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;Cents&lt;/strong&gt;&lt;br /&gt;
-&lt;strong&gt;size&lt;/strong&gt;&lt;br /&gt;
-&lt;strong&gt;in ¢ (coarse, fine), DMS&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;strong&gt;Closest&lt;/strong&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;Closest diatonic&lt;/strong&gt;&lt;br /&gt;
-&lt;strong&gt;diatonic&lt;/strong&gt;&lt;br /&gt;
 &lt;strong&gt;interval name&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 163: / Line 152: @@
          &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;0.0, 0°&lt;br /&gt;
+         &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;unison / prime&lt;br /&gt;
@@ Line 173: / Line 162: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;171.429, 205.714, 51°25'43&amp;quot;&lt;br /&gt;
+         &lt;td&gt;171.429&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;second&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6.424 c (coarse), 7.709 c (fine), 1°55'38&amp;quot; from Ptolemy (neutral) second 11/10&lt;br /&gt;
+         &lt;td&gt;6.424¢ from Ptolemy (neutral) second 11/10&lt;br /&gt;
-.215 c (coarse), 3.8585 c (fine), 57'53&amp;quot; from second 54/49&lt;br /&gt;
+.215¢ from second 54/49&lt;br /&gt;
--1.006 c (coarse), -1.207 c (fine), -18'6&amp;quot; from the 29th subharmonic 32/29&lt;br /&gt;
+-1.006¢ from the 29th subharmonic 32/29&lt;br /&gt;
--10.975&lt;span style="line-height: 1.5;"&gt; c (coarse), -13.17 c (fine), -3°17'33&amp;quot; from (Didymus) major second (small whole tone) 10/9&lt;/span&gt;&lt;br /&gt;
+-10.975&lt;span style="line-height: 1.5;"&gt;¢ from major second (small whole tone) 10/9&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 186: / Line 175: @@
          &lt;td&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;342.857, 411.429,&lt;br /&gt;
+         &lt;td&gt;342.857&lt;br /&gt;
-°51'26&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;third&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;-4.551 c (coarse), -5.461 c (fine), -1°21'55&amp;quot; from neutral third 11/9&lt;br /&gt;
+         &lt;td&gt;-4.55¢ from neutral third 11/9&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 197: / Line 185: @@
          &lt;td&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;514.286, 617.143,&lt;br /&gt;
+         &lt;td&gt;514.286&lt;br /&gt;
-°17'9&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;fourth&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;16.241 c (coarse), 19.489 c (fine), 4°52'20&amp;quot; from just fourth 4/3 (498.045 c coarse, 597.654 c fine)&lt;br /&gt;
+         &lt;td&gt;16.24¢ from just fourth 4/3 (498.045¢)&lt;br /&gt;
--5.265 c (coarse), -6.319 c (fine), -1°34'47&amp;quot; from wide fourth 27/20&lt;br /&gt;
+-5.265¢ from wide fourth 27/20&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 209: / Line 196: @@
          &lt;td&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;685.714, 822.857,&lt;br /&gt;
+         &lt;td&gt;685.714&lt;br /&gt;
-°42'51&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;fifth&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;5.265 c (coarse), 6.319 c (fine), 1°34'47&amp;quot; from narrow fifth 40/27&lt;br /&gt;
+         &lt;td&gt;5.265 ¢ from narrow fifth 40/27&lt;br /&gt;
--16.241 c (coarse), -19.489 c (fine)&lt;span style="line-height: 1.5;"&gt;, -4°52'20&amp;quot; from just fifth 3/2 (701.955 c coarse, 842.346 c fine)&lt;/span&gt;&lt;br /&gt;
+-16.241¢&lt;span style="line-height: 1.5;"&gt; from just fifth 3/2 (701.955¢)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 221: / Line 207: @@
          &lt;td&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;857.143, 1028.571,&lt;br /&gt;
+         &lt;td&gt;857.143&lt;br /&gt;
-°8'34&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;sixth&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4.551 c (coarse), 5.461 c (fine), 1°21'55&amp;quot; from neutral sixth 18/11&lt;br /&gt;
+         &lt;td&gt;4.551¢ from neutral sixth 18/11&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 232: / Line 217: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1028.571&lt;span style="line-height: 1.5;"&gt;, 1234.286,&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;1028.571&lt;br /&gt;
-&lt;span style="line-height: 1.5;"&gt; 308°34'17&amp;quot;1&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;seventh&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;10.975 c (coarse), 13.17 c (fine), 3°17'33&amp;quot; from (Didymus) minor seventh 9/5&lt;br /&gt;
+         &lt;td&gt;10.975¢ from (Didymus) minor seventh 9/5&lt;br /&gt;
--6.424 c (coarse), -7.709 c (fine), -1°55'38&amp;quot; from neutral seventh 20/11&lt;br /&gt;
+-6.424¢ from neutral seventh 20/11&lt;br /&gt;
-.006 c (coarse), 1.207 c (fine), 18'6&amp;quot; from the 29th harmonic 29/16&lt;br /&gt;
+.006¢ from the 29th harmonic 29/16&lt;br /&gt;
--3.215 c (coarse), -3.8585 c (fine), -57'53&amp;quot; from seventh 49/27&lt;br /&gt;
+-3.215¢ from seventh 49/27&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 246: / Line 230: @@
          &lt;td&gt;7 (0)&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200.0, 360º&lt;br /&gt;
+         &lt;td&gt;1200&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;eighth&lt;br /&gt;