Kite's ups and downs notation: 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:TallKite|TallKite]] and made on <tt>2016-06-04 06:30:50 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-06-04 06:33:59 UTC</tt>.

: The original revision id was <tt>~~584789109~~</tt>.

: The original revision id was <tt>584789155</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 991:

The 29-tone keyboard, with alternate tunings for the black keys:

|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||

|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||

||= keyspan from C ||= genspan from C ||= note ||= genspan from C ||= note ||

||= 0 ||= 0 ||= C ||= ||= ||

Line 1,005:

Line 1,007:

||= 11 ||= -13 ||= Fv = E#vv ||= +16 ||= E^ = Fb^^ ||

||= 12 ||= -1 ||= F ||= ||= ||

|= 13 ||= ~~-22~~ ||= ~~Dvv = Cxv3~~ ||= +7 ||= ~~C# = Db^~~ ||

||= ||= ||= ||= ||= ||

||= 14 ||= ~~-10~~ ||= ~~Dv = Cxvv~~ ||= ~~+19~~ ||= ~~C#^ = Db^^~~ ||

||= 15 ||= ||= ||= ||= ||

||= 15 ||= +2 ||= D ||= ||= ||

||= 16 ||= ||= ||= ||= ||

||= 16 ||= ~~-15~~ ||= ~~Ebv = D#vv~~ ||= ~~+14~~ ||= ~~D^ = Ebb^^~~ ||

||= 17 ||= ||= ||= ||= ||

||= 17 ||= -3 ||= ~~Eb = D#v~~ ||= ~~+26~~ ||= ~~D^^ = Ebb^3~~ ||

||= 18 ||= +1 ||= G ||= ||= ||

||= 18 ||= ~~-20~~ ||= ~~Evv = Dxv3~~ ||= +9 ||= ~~D# = Eb^~~ ||

||= ||= ||= ||= ||= ||

||= 19 ||= -8 ||= ~~Ev = Dxvv~~ ||= ~~+21~~ ||= ~~D#^ = Eb^^~~ ||

||= ||= ||= ||= ||= ||

||= 20 ||= +4 ||= E ||= ||= ||

||= ||= ||= ||= ||= ||

||= 21 ||= ~~-13~~ ||= ~~Fv = E#vv~~ ||= ~~+16~~ ||= ~~E^ = Fb^^~~ ||

||= ||= ||= ||= ||= ||

||= 22 ||= -1 ||= F ||= ||= ||

||= ||= ||= ||= ||= ||

|= 23 ||= ~~-22~~ ||= ~~Dvv = Cxv3~~ ||= +7 ||= ~~C# = Db^~~ ||

||= ||= ||= ||= ||= ||

||= 24 ||= ~~-10~~ ||= ~~Dv = Cxvv~~ ||= ~~+19~~ ||= ~~C#^ = Db^^~~ ||

||= ||= ||= ||= ||= ||

||= 25 ||= +2 ||= D ||= ||= ||

||= ||= ||= ||= ||= ||

||= 26 ||= ~~-15~~ ||= ~~Ebv = D#vv~~ ||= ~~+14~~ ||= ~~D^ = Ebb^^~~ ||

||= ||= ||= ||= ||= ||

||= 27 ||= -3 ||= ~~Eb = D#v~~ ||= ~~+26~~ ||= ~~D^^ = Ebb^3~~ ||

||= ||= ||= ||= ||= ||

||= 28 ||= ~~-20~~ ||= ~~Evv = Dxv3~~ ||= +9 ||= ~~D# = Eb^~~ ||

||= ||= ||= ||= ||= ||

||= 29 ||= -8 ||= ~~Ev = Dxvv~~ ||= ~~+21~~ ||= ~~D#^ = Eb^^~~ ||

||= ||= ||= ||= ||= ||

|

39-tone and 49-tone are problematic:

Line 1,120:

Line 1,123:

fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢

<img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" />

<img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" />

This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.

Line 1,336:

Line 1,339:

<img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" />

<img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" />

<h2 id="toc3"><img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /></h2>

<h2 id="toc3"><img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /></h2>

<h2 id="toc4"> </h2>

<h2 id="toc5"> </h2>

Line 4,919:

Line 4,922:

The 29-tone keyboard, with alternate tunings for the black keys:

|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||

|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||

Line 5,090:

Line 5,095:

</td>

</tr>

~~|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ || ~~

<tr>

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

</td>

<td style="text-align: center;">~~-10~~

</td>

<td style="text-align: center;">~~Dv = Cxvv~~

</td>

<td style="text-align: center;">~~+19~~

</td>

<td style="text-align: center;">~~C#^ = Db^^~~

</td>

</tr>

Line 5,106:

Line 5,110:

<td style="text-align: center;">15

</td>

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

</td>

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

</td>

Line 5,118:

Line 5,122:

<td style="text-align: center;">16

</td>

<td style="text-align: center;">~~-15~~

</td>

<td style="text-align: center;">~~Ebv = D#vv~~

</td>

<td style="text-align: center;">~~+14~~

</td>

<td style="text-align: center;">~~D^ = Ebb^^~~

</td>

</tr>

Line 5,130:

Line 5,134:

<td style="text-align: center;">17

</td>

<td style="text-align: center;">-3

</td>

<td style="text-align: center;">~~Eb = D#v~~

</td>

<td style="text-align: center;">~~+26~~

</td>

<td style="text-align: center;">~~D^^ = Ebb^3~~

</td>

</tr>

Line 5,142:

Line 5,146:

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

</td>

<td style="text-align: center;">~~-20~~

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

</td>

<td style="text-align: center;">~~Evv = Dxv3~~

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

</td>

<td style="text-align: center;">+9

</td>

<td style="text-align: center;">~~D# = Eb^~~

</td>

</tr>

<tr>

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

</td>

<td style="text-align: center;">-8

</td>

<td style="text-align: center;">~~Ev = Dxvv~~

</td>

<td style="text-align: center;">~~+21~~

</td>

<td style="text-align: center;">~~D#^ = Eb^^~~

</td>

</tr>

<tr>

<td style="text-align: center;">20

</td>

<td style="text-align: center;">+4

</td>

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

</td>

Line 5,176:

Line 5,180:

</tr>

<tr>

<td style="text-align: center;">21

</td>

<td style="text-align: center;">~~-13~~

</td>

<td style="text-align: center;">~~Fv = E#vv~~

</td>

<td style="text-align: center;">~~+16~~

</td>

<td style="text-align: center;">~~E^ = Fb^^~~

</td>

</tr>

<tr>

<td style="text-align: center;">22

</td>

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

</td>

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

</td>

Line 5,199:

Line 5,203:

</td>

</tr>

~~|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ || ~~

<tr>

<td style="text-align: center;">24

</td>

<td style="text-align: center;">~~-10~~

</td>

<td style="text-align: center;">~~Dv = Cxvv~~

</td>

<td style="text-align: center;">~~+19~~

</td>

<td style="text-align: center;">~~C#^ = Db^^~~

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</td>

</td>

</tr>

<tr>

</td>

</td>

</td>

</td>

</td>

</tr>

<tr>

</td>

</td>

</td>

Line 5,225:

Line 5,252:

</tr>

<tr>

<td style="text-align: center;">26

</td>

<td style="text-align: center;">~~-15~~

</td>

<td style="text-align: center;">~~Ebv = D#vv~~

</td>

<td style="text-align: center;">~~+14~~

</td>

<td style="text-align: center;">~~D^ = Ebb^^~~

</td>

</tr>

<tr>

<td style="text-align: center;">27

</td>

<td style="text-align: center;">-3

</td>

<td style="text-align: center;">~~Eb = D#v~~

</td>

<td style="text-align: center;">~~+26~~

</td>

<td style="text-align: center;">~~D^^ = Ebb^3~~

</td>

</tr>

<tr>

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

</td>

<td style="text-align: center;">~~-20~~

</td>

<td style="text-align: center;">~~Evv = Dxv3~~

</td>

<td style="text-align: center;">+9

</td>

<td style="text-align: center;">~~D# = Eb^~~

</td>

</tr>

<tr>

<td style="text-align: center;">29

</td>

<td style="text-align: center;">-8

</td>

<td style="text-align: center;">~~Ev = Dxvv~~

</td>

<td style="text-align: center;">~~+21~~

</td>

<td style="text-align: center;">~~D#^ = Eb^^~~

</td>

</tr>

</table>

|

39-tone and 49-tone are problematic:

@@ 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:TallKite|TallKite]] and made on <tt>2016-06-04 06:30:50 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-06-04 06:33:59 UTC</tt>.<br>
-: The original revision id was <tt>584789109</tt>.<br>
+: The original revision id was <tt>584789155</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 991: / Line 991: @@
 The 29-tone keyboard, with alternate tunings for the black keys:
+|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||
+|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||
 ||= keyspan from C ||= genspan from C ||= note ||= genspan from C ||= note ||
 ||= 0 ||= 0 ||= C ||=   ||=   ||
@@ Line 1,005: / Line 1,007: @@
 ||= 11 ||= -13 ||= Fv = E#vv ||= +16 ||= E^ = Fb^^ ||
 ||= 12 ||= -1 ||= F ||=   ||=   ||
-|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 14 ||= -10 ||= Dv = Cxvv ||= +19 ||= C#^ = Db^^ ||
+||= 15 ||=   ||=   ||=   ||=   ||
-||= 15 ||= +2 ||= D ||=   ||=   ||
+||= 16 ||=   ||=   ||=   ||=   ||
-||= 16 ||= -15 ||= Ebv = D#vv ||= +14 ||= D^ = Ebb^^ ||
+||= 17 ||=   ||=   ||=   ||=   ||
-||= 17 ||= -3 ||= Eb = D#v ||= +26 ||= D^^ = Ebb^3 ||
+||= 18 ||= +1 ||= G ||=   ||=   ||
-||= 18 ||= -20 ||= Evv = Dxv3 ||= +9 ||= D# = Eb^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 19 ||= -8 ||= Ev = Dxvv ||= +21 ||= D#^ = Eb^^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 20 ||= +4 ||= E ||=   ||=   ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 21 ||= -13 ||= Fv = E#vv ||= +16 ||= E^ = Fb^^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 22 ||= -1 ||= F ||=   ||=   ||
+||=  ||=   ||=   ||=   ||=   ||
-|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 24 ||= -10 ||= Dv = Cxvv ||= +19 ||= C#^ = Db^^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 25 ||= +2 ||= D ||=   ||=   ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 26 ||= -15 ||= Ebv = D#vv ||= +14 ||= D^ = Ebb^^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 27 ||= -3 ||= Eb = D#v ||= +26 ||= D^^ = Ebb^3 ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 28 ||= -20 ||= Evv = Dxv3 ||= +9 ||= D# = Eb^ ||
+||=  ||=   ||=   ||=   ||=   ||
-||= 29 ||= -8 ||= Ev = Dxvv ||= +21 ||= D#^ = Eb^^ ||
+||=  ||=   ||=   ||=   ||=   ||
-|
 -tone and 49-tone are problematic:
@@ Line 1,120: / Line 1,123: @@
 fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:3431:&amp;lt;img src=&amp;quot;/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3431 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:3456:&amp;lt;img src=&amp;quot;/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3456 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.&lt;br /&gt;
@@ Line 1,336: / Line 1,339: @@
 &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:3432:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3432 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:3457:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3457 --&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextLocalImageRule:3433:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 957px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3433 --&gt;&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextLocalImageRule:3458:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 957px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:3458 --&gt;&lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; &lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; &lt;/h2&gt;
@@ Line 4,919: / Line 4,922: @@
 &lt;br /&gt;
 The 29-tone keyboard, with alternate tunings for the black keys:&lt;br /&gt;
+|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||&lt;br /&gt;
+|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||&lt;br /&gt;
@@ Line 5,090: / Line 5,095: @@
 &lt;/td&gt;
      &lt;/tr&gt;
-|= 13 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||&lt;br /&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Dv = Cxvv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+19&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C#^ = Db^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 5,106: / Line 5,110: @@
          &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 5,118: / Line 5,122: @@
          &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Ebv = D#vv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D^ = Ebb^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 5,130: / Line 5,134: @@
          &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Eb = D#v&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D^^ = Ebb^3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 5,142: / Line 5,146: @@
          &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;+1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Evv = Dxv3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D# = Eb^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Ev = Dxvv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D#^ = Eb^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+4&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 5,176: / Line 5,180: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Fv = E#vv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+16&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;E^ = Fb^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;22&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 5,199: / Line 5,203: @@
 &lt;/td&gt;
      &lt;/tr&gt;
-|= 23 ||= -22 ||= Dvv = Cxv3 ||= +7 ||= C# = Db^ ||&lt;br /&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-10&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Dv = Cxvv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+19&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;C#^ = Db^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+2&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 5,225: / Line 5,252: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Ebv = D#vv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+14&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D^ = Ebb^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;27&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Eb = D#v&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+26&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D^^ = Ebb^3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;28&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-20&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Evv = Dxv3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D# = Eb^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;29&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;-8&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;Ev = Dxvv&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;+21&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D#^ = Eb^^&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
 &lt;/table&gt;
-|&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
 &lt;br /&gt;
 -tone and 49-tone are problematic:&lt;br /&gt;