7edo: 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 00:21:57 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 22:31:46 UTC</tt>.

: The original revision id was <tt>~~597431354~~</tt>.

: The original revision id was <tt>597467012</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.

Line 29:

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

**size**

**in ¢, DMS** || **Closest**

**in ¢ (coarse, fine), 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 || 171.429,

|| 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

51°25'43" || second || 6.424 c, 1°55'38" from Ptolemy (neutral) second 11/10

3.215 c (coarse), 3.8585 c (fine), 57'53" from second 54/49

3.215 c, 57'53" from second 54/49

-1.006 c (coarse), -1.207 c (fine), -18'6" from the 29th subharmonic 32/29

-10.9 c, -3°17'33"76 from (Didymus) major second (small whole tone) 10/9 ||

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

|| 2 || 342.857,

|| 2 || 342.857, 411.429,

102°51'26" || third || -4.551 c, -1°21'55" 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,

|| 3 || 514.286, 617.143,

154°17'9" || fourth || 16.241 c, 4°52'20" from just fourth 4/3 (498.045 c)

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)

-5.265 c, -1°34'47" from wide fourth 27/20 ||

-5.265 c (coarse), -6.319 c (fine), -1°34'47" from wide fourth 27/20 ||

|| 4 || 685.714,

|| 4 || 685.714, 822.857,

205°42'51" || fifth || 5.265 c, 1°34'47" from narrow fifth 40/27

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

-16.241 c, -4°52'20" from just fifth 3/2 (701.955 c) ||

-16.241 c (coarse), -19.489 c (fine), -4°52'20" from just fifth 3/2 (701.955 c coarse, 842.346 c fine) ||

|| 5 || 857.143,

|| 5 || 857.143, 1028.571,

257°8'34" || sixth || 4.551 c, 1°21'55" from neutral sixth 18/11 ||

257°8'34" || sixth || 4.551 c (coarse), 5.461 c (fine), 1°21'55" from neutral sixth 18/11 ||

|| 6 || 1028.571,

|| 6 || 1028.571, 1234.286,

308°34'17" || seventh || 10.975 c, 3°17'33" from (Didymus) minor seventh 9/5

308°34'17"1 || seventh || 10.975 c (coarse), 13.17 c (fine), 3°17'33" from (Didymus) minor seventh 9/5

-6.~~425~~ c, -1°55'38" from neutral seventh 20/11

-6.424 c (coarse), -7.709 c (fine), -1°55'38" from neutral seventh 20/11

1.006 c, 18'6" from the 29th harmonic 29/16

1.006 c (coarse), 1.207 c (fine), 18'6" from the 29th harmonic 29/16

-3.~~216~~ c, -57'53" from seventh 49/27 ||

-3.215 c (coarse), -3.8585 c (fine), -57'53" from seventh 49/27 ||

|| 7 (0) || 1200.0, 360º || eighth || exactly 2/1 ||

Line 72:

=Alphabet=

William ~~lynch~~ proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.

William Lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.

The alphabet can be written in three ways:

Plain numbers: 1 2 3 4 5 6 7

Line 94:

=Commas=

7 EDO tempers out the following commas. (Note: This assumes val < [[tel:7 11 16 20 24 26|7 11 16 20 24 26]] |.)

7 EDO tempers out the following commas. (Note: This assumes val < [[tel/7 11 16 20 24 26|7 11 16 20 24 26]] |.)

||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||

Line 103:

||= 20000/19683 || | 5 -9 4 > ||> 27.66 ||= Minimal Disease ||= Tricot Comma ||= ||

||= 81/80 || | -4 4 -1 > ||> 21.51 ||= Syntonic Comma ||= Didymos Comma ||= Meantone Comma ||

||= ~~[[tel:1600000/1594323|1600000/1594323]]~~ || | 9 -13 5 > ||> 6.15 ||= Amity Comma ||= ||= ||

||= || | 9 -13 5 > ||> 6.15 ||= Amity Comma ||= ||= ||

||= 36/35 || | 2 2 -1 -1 > ||> 48.77 ||= Septimal Quarter Tone ||= ||= ||

||= 525/512 || | -9 1 2 1 > ||> 43.41 ||= Avicenna ||= Avicenna's Enharmonic Diesis ||= ||

Line 111:

||= 6144/6125 || | 11 1 -3 -2 > ||> 5.36 ||= Cornwell ||= ||= ||

||= 4375/4374 || | -1 -7 4 1 > ||> 0.40 ||= Ragisma ||= ||= ||

||= ~~[[tel:394839/394762|394839/394762]]~~ || | 47 -7 -7 -7 > ||> 0.34 ||= Akj Sma ||= 5\7 Octave Comma ||= ||

||= || | 47 -7 -7 -7 > ||> 0.34 ||= Akj Sma ||= 5\7 Octave Comma ||= ||

||= 100/99 || | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemies ||= ||= ||

||= 121/120 || | -3 -1 -1 0 2 > ||> 14.37 ||= Batista ||= ||= ||

Line 151:

<td>Interval

size

in ¢, DMS

in ¢ (coarse, fine), DMS

</td>

<td>Closest

Line 163:

<td>0

</td>

<td>0.0

<td>0.0, 0°

</td>

<td>unison / prime

Line 173:

<td>1

</td>

<td>171.429,~~ ~~

<td>171.429, 205.714, 51°25'43&quot;

51°25'43&quot;

</td>

<td>second

</td>

<td>6.424 c, 1°55'38&quot; from Ptolemy (neutral) second 11/10

<td>6.424 c (coarse), 7.709 c (fine), 1°55'38&quot; from Ptolemy (neutral) second 11/10

3.215 c, 57'53&quot; from second 54/49

3.215 c (coarse), 3.8585 c (fine), 57'53&quot; from second 54/49

-10.9 c, -3°17'33&quot;76 from (Didymus) major second (small whole tone) 10/9

-1.006 c (coarse), -1.207 c (fine), -18'6&quot; 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

</td>

</tr>

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<td>2

</td>

<td>342.857,

<td>342.857, 411.429,

102°51'26&quot;

</td>

<td>third

</td>

<td>-4.551 c, -1°21'55&quot; from neutral third 11/9

<td>-4.551 c (coarse), -5.461 c (fine), -1°21'55&quot; from neutral third 11/9

</td>

</tr>

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<td>3

</td>

<td>514.286,

<td>514.286, 617.143,

154°17'9&quot;

</td>

<td>fourth

</td>

<td>16.241 c, 4°52'20&quot; from just fourth 4/3 (498.045 c)

<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)

-5.265 c, -1°34'47&quot; from wide fourth 27/20

-5.265 c (coarse), -6.319 c (fine), -1°34'47&quot; from wide fourth 27/20

</td>

</tr>

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<td>4

</td>

<td>685.714,

<td>685.714, 822.857,

205°42'51&quot;

</td>

<td>fifth

</td>

<td>5.265 c, 1°34'47&quot; from narrow fifth 40/27

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

-16.241 c, -4°52'20&quot; from just fifth 3/2 (701.955 c)

-16.241 c (coarse), -19.489 c (fine), -4°52'20&quot; from just fifth 3/2 (701.955 c coarse, 842.346 c fine)

</td>

</tr>

Line 221:

<td>5

</td>

<td>857.143,

<td>857.143, 1028.571,

257°8'34&quot;

</td>

<td>sixth

</td>

<td>4.551 c, 1°21'55&quot; from neutral sixth 18/11

<td>4.551 c (coarse), 5.461 c (fine), 1°21'55&quot; from neutral sixth 18/11

</td>

</tr>

Line 232:

<td>6

</td>

<td>1028.571,

<td>1028.571, 1234.286,

308°34'17&quot;

308°34'17&quot;1

</td>

<td>seventh

</td>

<td>10.975 c, 3°17'33&quot; from (Didymus) minor seventh 9/5

<td>10.975 c (coarse), 13.17 c (fine), 3°17'33&quot; from (Didymus) minor seventh 9/5

-6.~~425~~ c, -1°55'38&quot; from neutral seventh 20/11

-6.424 c (coarse), -7.709 c (fine), -1°55'38&quot; from neutral seventh 20/11

1.006 c, 18'6&quot; from the 29th harmonic 29/16

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

-3.~~216~~ c, -57'53&quot; from seventh 49/27

-3.215 c (coarse), -3.8585 c (fine), -57'53&quot; from seventh 49/27

</td>

</tr>

Line 272:

<h1 id="toc7"><a name="Alphabet"></a>Alphabet</h1>

William ~~lynch~~ proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.

William Lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.

The alphabet can be written in three ways:

Plain numbers: 1 2 3 4 5 6 7

Line 389:

</tr>

<tr>

<td style="text-align: center;">~~[[tel:1600000/1594323|1600000/1594323]]~~

</td>

<td>| 9 -13 5 &gt;

Line 501:

</tr>

<tr>

<td style="text-align: center;">~~[[tel:394839/394762|394839/394762]]~~

</td>

<td>| 47 -7 -7 -7 &gt;

@@ 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>2016-10-29 00:21:57 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-29 22:31:46 UTC</tt>.<br>
-: The original revision id was <tt>597431354</tt>.<br>
+: The original revision id was <tt>597467012</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 29: / Line 29: @@
 || **Interval** || **Interval**
 **size**
-**in ¢, DMS** || **Closest**
+**in ¢ (coarse, fine), 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 || 171.429,
+|| 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
-°25'43" || second || 6.424 c, 1°55'38" from Ptolemy (neutral) second 11/10
+.215 c (coarse), 3.8585 c (fine), 57'53" from second 54/49
-.215 c, 57'53" from second 54/49
+-1.006 c (coarse), -1.207 c (fine), -18'6" from the 29th subharmonic 32/29
--10.9&lt;span style="line-height: 1.5;"&gt; c, -3°17'33"76 from (Didymus) major second (small whole tone) 10/9&lt;/span&gt; ||
+-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; ||
-|| 2 || 342.857,
+|| 2 || 342.857, 411.429,
-°51'26" || third || -4.551 c, -1°21'55" 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,
+|| 3 || 514.286, 617.143,
-°17'9" || fourth || 16.241 c, 4°52'20" from just fourth 4/3 (498.045 c)
+°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)
--5.265 c, -1°34'47" from wide fourth 27/20 ||
+-5.265 c (coarse), -6.319 c (fine), -1°34'47" from wide fourth 27/20 ||
-|| 4 || 685.714,
+|| 4 || 685.714, 822.857,
-°42'51" || fifth || 5.265 c, 1°34'47" from narrow fifth 40/27
+°42'51" || fifth || 5.265 c (coarse), 6.319 c (fine), 1°34'47" from narrow fifth 40/27
--16.241 c&lt;span style="line-height: 1.5;"&gt;, -4°52'20" from just fifth 3/2 (701.955 c)&lt;/span&gt; ||
+-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; ||
-|| 5 || 857.143,
+|| 5 || 857.143, 1028.571,
-°8'34" || sixth || 4.551 c, 1°21'55" from neutral sixth 18/11 ||
+°8'34" || sixth || 4.551 c (coarse), 5.461 c (fine), 1°21'55" from neutral sixth 18/11 ||
-|| 6 || 1028.571&lt;span style="line-height: 1.5;"&gt;,&lt;/span&gt;
+|| 6 || 1028.571&lt;span style="line-height: 1.5;"&gt;, 1234.286,&lt;/span&gt;
-&lt;span style="line-height: 1.5;"&gt; 308°34'17"&lt;/span&gt; || seventh || 10.975 c, 3°17'33" from (Didymus) minor seventh 9/5
+&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
--6.425 c, -1°55'38" from neutral seventh 20/11
+-6.424 c (coarse), -7.709 c (fine), -1°55'38" from neutral seventh 20/11
-.006 c, 18'6" from the 29th harmonic 29/16
+.006 c (coarse), 1.207 c (fine), 18'6" from the 29th harmonic 29/16
--3.216 c, -57'53" from seventh 49/27 ||
+-3.215 c (coarse), -3.8585 c (fine), -57'53" from seventh 49/27 ||
 || 7 (0) || 1200.0, 360º || eighth || exactly 2/1 ||
@@ Line 72: / Line 72: @@
 =Alphabet=
-William lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.
+William Lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.
 The alphabet can be written in three ways:
 Plain numbers: 1 2 3 4 5 6 7
@@ Line 94: / Line 94: @@
 =Commas=
-EDO tempers out the following commas. (Note: This assumes val &lt; [[tel:7 11 16 20 24 26|7 11 16 20 24 26]] |.)
+EDO tempers out the following commas. (Note: This assumes val &lt; [[tel/7 11 16 20 24 26|7 11 16 20 24 26]] |.)
 ||~ Comma ||~ Monzo ||~ Cents ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
@@ Line 103: / Line 103: @@
 ||= 20000/19683 || | 5 -9 4 &gt; ||&gt; 27.66 ||= Minimal Disease ||= Tricot Comma ||=   ||
 ||= 81/80 || | -4 4 -1 &gt; ||&gt; 21.51 ||= Syntonic Comma ||= Didymos Comma ||= Meantone Comma ||
-||= [[tel:1600000/1594323|1600000/1594323]] || | 9 -13 5 &gt; ||&gt; 6.15 ||= Amity Comma ||=   ||=   ||
+||=   || | 9 -13 5 &gt; ||&gt; 6.15 ||= Amity Comma ||=   ||=   ||
 ||= 36/35 || | 2 2 -1 -1 &gt; ||&gt; 48.77 ||= Septimal Quarter Tone ||=   ||=   ||
 ||= 525/512 || | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicenna ||= Avicenna's Enharmonic Diesis ||=   ||
@@ Line 111: / Line 111: @@
 ||= 6144/6125 || | 11 1 -3 -2 &gt; ||&gt; 5.36 ||= Cornwell ||=   ||=   ||
 ||= 4375/4374 || | -1 -7 4 1 &gt; ||&gt; 0.40 ||= Ragisma ||=   ||=   ||
-||= [[tel:394839/394762|394839/394762]] || | 47 -7 -7 -7 &gt; ||&gt; 0.34 ||= Akj Sma ||= 5\7 Octave Comma ||=   ||
+||=   || | 47 -7 -7 -7 &gt; ||&gt; 0.34 ||= Akj Sma ||= 5\7 Octave Comma ||=   ||
 ||= 100/99 || | 2 -2 2 0 -1 &gt; ||&gt; 17.40 ||= Ptolemies ||=   ||=   ||
 ||= 121/120 || | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Batista ||=   ||=   ||
@@ Line 151: / Line 151: @@
          &lt;td&gt;&lt;strong&gt;Interval&lt;/strong&gt;&lt;br /&gt;
 &lt;strong&gt;size&lt;/strong&gt;&lt;br /&gt;
-&lt;strong&gt;in ¢, DMS&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;
@@ Line 163: / Line 163: @@
          &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 173: / Line 173: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;171.429,&lt;br /&gt;
+         &lt;td&gt;171.429, 205.714, 51°25'43&amp;quot;&lt;br /&gt;
-°25'43&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;second&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;6.424 c, 1°55'38&amp;quot; from Ptolemy (neutral) second 11/10&lt;br /&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;
-.215 c, 57'53&amp;quot; from second 54/49&lt;br /&gt;
+.215 c (coarse), 3.8585 c (fine), 57'53&amp;quot; from second 54/49&lt;br /&gt;
--10.9&lt;span style="line-height: 1.5;"&gt; c, -3°17'33&amp;quot;76 from (Didymus) major second (small whole tone) 10/9&lt;/span&gt;&lt;br /&gt;
+-1.006 c (coarse), -1.207 c (fine), -18'6&amp;quot; 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;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 186: / Line 186: @@
          &lt;td&gt;2&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;342.857,&lt;br /&gt;
+         &lt;td&gt;342.857, 411.429,&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, -1°21'55&amp;quot; from neutral third 11/9&lt;br /&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;
      &lt;/tr&gt;
@@ Line 197: / Line 197: @@
          &lt;td&gt;3&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;514.286,&lt;br /&gt;
+         &lt;td&gt;514.286, 617.143,&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, 4°52'20&amp;quot; from just fourth 4/3 (498.045 c)&lt;br /&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;
--5.265 c, -1°34'47&amp;quot; from wide fourth 27/20&lt;br /&gt;
+-5.265 c (coarse), -6.319 c (fine), -1°34'47&amp;quot; from wide fourth 27/20&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 209: / Line 209: @@
          &lt;td&gt;4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;685.714,&lt;br /&gt;
+         &lt;td&gt;685.714, 822.857,&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, 1°34'47&amp;quot; from narrow fifth 40/27&lt;br /&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;
--16.241 c&lt;span style="line-height: 1.5;"&gt;, -4°52'20&amp;quot; from just fifth 3/2 (701.955 c)&lt;/span&gt;&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;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 221: / Line 221: @@
          &lt;td&gt;5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;857.143,&lt;br /&gt;
+         &lt;td&gt;857.143, 1028.571,&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, 1°21'55&amp;quot; from neutral sixth 18/11&lt;br /&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;
      &lt;/tr&gt;
@@ Line 232: / Line 232: @@
          &lt;td&gt;6&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1028.571&lt;span style="line-height: 1.5;"&gt;,&lt;/span&gt;&lt;br /&gt;
+         &lt;td&gt;1028.571&lt;span style="line-height: 1.5;"&gt;, 1234.286,&lt;/span&gt;&lt;br /&gt;
-&lt;span style="line-height: 1.5;"&gt; 308°34'17&amp;quot;&lt;/span&gt;&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, 3°17'33&amp;quot; from (Didymus) minor seventh 9/5&lt;br /&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;
--6.425 c, -1°55'38&amp;quot; from neutral seventh 20/11&lt;br /&gt;
+-6.424 c (coarse), -7.709 c (fine), -1°55'38&amp;quot; from neutral seventh 20/11&lt;br /&gt;
-.006 c, 18'6&amp;quot; from the 29th harmonic 29/16&lt;br /&gt;
+.006 c (coarse), 1.207 c (fine), 18'6&amp;quot; from the 29th harmonic 29/16&lt;br /&gt;
--3.216 c, -57'53&amp;quot; from seventh 49/27&lt;br /&gt;
+-3.215 c (coarse), -3.8585 c (fine), -57'53&amp;quot; from seventh 49/27&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 272: / Line 272: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Alphabet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Alphabet&lt;/h1&gt;
-  William lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.&lt;br /&gt;
+  William Lynch proposes using numbers 1 through 7 as the nominals of 7 ET with # signs being possible to expand to 14 EDO or even 21 EDO.&lt;br /&gt;
 The alphabet can be written in three ways:&lt;br /&gt;
 Plain numbers: 1 2 3 4 5 6 7&lt;br /&gt;
@@ Line 389: / Line 389: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;[[tel:1600000/1594323|1600000/1594323]]&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 9 -13 5 &amp;gt;&lt;br /&gt;
@@ Line 501: / Line 501: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;[[tel:394839/394762|394839/394762]]&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;| 47 -7 -7 -7 &amp;gt;&lt;br /&gt;