Kite's ups and downs notation: Difference between revisions
Wikispaces>TallKite **Imported revision 584787143 - Original comment: ** |
Wikispaces>TallKite **Imported revision 584787447 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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 04: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-06-04 04:57:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>584787447</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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To extend ups and downs to rank-2 tunings, the up symbol is assigned not only a **keyspan** (always +1) but also a **genspan**, which indicates how many steps forward or backwards along the generator chain, or **genchain**, one must travel to find the interval. | To extend ups and downs to rank-2 tunings, the up symbol is assigned not only a **keyspan** (always +1) but also a **genspan**, which indicates how many steps forward or backwards along the generator chain, or **genchain**, one must travel to find the interval. | ||
For example, in the 22-tone framework, up has a genspan of -5, corresponding to a pythagorean minor 2nd of 256/243. Thus C^ is exactly equivalent to Db, because C^ = C + m2 = Db. C^^ | For example, in the 22-tone framework, up has a genspan of -5, corresponding to a pythagorean minor 2nd of 256/243. Thus C^ is exactly equivalent to Db, because C^ = C + m2 = Db. And C^^ = C^ + m2 = (C + m2)^, exactly equivalent to Db^. However, C^^ is not equivalent to Dvv, even though they occuy the same key on the keyboard, just as C# may not equal Db in 12-tone. | ||
The usual genchain note names will run out of order when mapped to the 22-tone framework. For example, we might have C Db B# C# D. So ups and downs are used to provide alternate names for each note. It becomes C C^ C#v C# D, or equivalently C Db Dvv Dv D. The B# might instead be tuned Ebb, giving us C Db Ebb C# D. This could be written either C Db Db^ Dv D or C C^ C^^ C# D. | The usual genchain note names will run out of order when mapped to the 22-tone framework. For example, we might have C Db B# C# D. So ups and downs are used to provide alternate names for each note. It becomes C C^ C#v C# D, or equivalently C Db Dvv Dv D. The B# might instead be tuned Ebb, giving us C Db Ebb C# D. This could be written either C Db Db^ Dv D or C C^ C^^ C# D. | ||
| Line 926: | Line 926: | ||
G(^) = - (i * N - 7) / X | G(^) = - (i * N - 7) / X | ||
For 22-tone, X = 3 and N = 22. We choose i to be the smallest (least absolute value) number that avoids fractions. Thus i = 1, G(^) = -5, and ^ = min 2nd. The other relevant frameworks of 53 or less: | |||
For 22-tone, X = 3 and N = 22. We choose i to be the smallest (least absolute value) number that avoids fractions. Thus i = 1, G(^) = -5, and ^ = min 2nd. | |||
||= ||= Keyspan of # ||= value of i ||= genspan of ^ ||= ||= stepspan & | ||= ||= Keyspan of # ||= value of i ||= genspan of ^ ||= ||= stepspan & | ||
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The value of i equals the stepspan of the up, except in the case of 49-tone. | The value of i equals the stepspan of the up, except in the case of 49-tone. | ||
For most frameworks, the genchain will be similar to that of 22-tone. But when i isn't 1, things are different.</pre></div> | For most frameworks, the genchain will be similar to that of 22-tone. But when i isn't 1, things are different. | ||
Fbb Cbb Gbb Dbb Abb Ebb Bbb Fb Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E# B# Fx Cx Gx Dx Ax Ex Bx | |||
29-tone | |||
C * Db C# * D * Eb D# * E * F * Gb F# * G * Ab G# * A * Bb A# * B * C | |||
The 29-tone genchain: | |||
||= genspan from C ||= keyspan from C || || || ||= || || | |||
||= -13 ||= 11 || E#vv || Fv || Gbb ||= || || | |||
||= -12 ||= 28 || B#vv || Cv || Dbb ||= || || | |||
||= -11 ||= 16 || Fxvv || Gv || Abb ||= || || | |||
||= -10 ||= 4 || Cxvv || Dv || Ebb ||= || || | |||
||= -9 ||= 21 || Gxvv || Av || Bbb ||= || || | |||
||= -8 ||= 9 || Dxvv || Ev ||= Fb ||= || || | |||
||= -7 ||= 26 || Axvv || Bv ||= Cb ||= || || | |||
||= -6 ||= 14 || Exvv || F#v ||= Gb ||= || || | |||
||= -5 ||= 2 || Bxvv || C#v ||= Db ||= || || | |||
||= -4 ||= 19 || || G#v ||= Ab ||= || || | |||
||= -3 ||= 7 || || D#v ||= Eb ||= Fbb^ || || | |||
||= -2 ||= 24 || || A#v ||= Bb ||= Cbb^ || || | |||
||= -1 ||= 12 || || E#v ||= F ||= Gbb^ || || | |||
||= 0 ||= 0 || || B#v ||= C ||= Dbb^ || || | |||
||= 1 ||= 17 || || Fxv ||= G ||= Abb^ || || | |||
||= 2 ||= 5 || || Cxv ||= D ||= Ebb^ || || | |||
||= 3 ||= 22 || || Gxv ||= A ||= Bbb^ || || | |||
||= 4 ||= 10 || || Dxv ||= E ||= Fb^ || || | |||
||= 5 ||= 27 || || Axv ||= B ||= Cb^ || || | |||
||= 6 ||= 15 || || Exv ||= F# ||= Gb^ || || | |||
||= 7 ||= 3 || || Bxv ||= C# ||= Db^ || || | |||
||= 8 ||= 20 || || ||= G# ||= Ab^ || || | |||
||= 9 ||= 8 || || ||= D# ||= Eb^ || Fbb^^ || | |||
||= 10 ||= 25 || || ||= A# ||= Bb^ || Cbb^^ || | |||
||= 11 ||= 13 || || ||= E# ||= F^ || Gbb^^ || | |||
||= 12 ||= 1 || || ||= B# ||= C^ || Dbb^^ || | |||
||= 13 ||= 18 || || ||= Fx ||= G^ || Abb^^ || | |||
||= 14 ||= 6 || || ||= Cx ||= D^ || Ebb^^ || | |||
||= 15 ||= 23 || || ||= Gx ||= A^ || Bbb^^ || | |||
||= 16 ||= 11 || || ||= Dx ||= E^ || Fb^^ || | |||
||= 17 ||= 28 || || ||= Ax ||= B^ || Cb^^ || | |||
||= ||= || || || etc. ||= || ||</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Ups and Downs Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->&quot;Ups and Downs&quot; Notation</h1> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Ups and Downs Notation</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a><!-- ws:end:WikiTextHeadingRule:0 -->&quot;Ups and Downs&quot; Notation</h1> | ||
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fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢<br /> | fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:3082:&lt;img src=&quot;/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 1035px; width: 800px;&quot; /&gt; --><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;" /><!-- ws:end:WikiTextLocalImageRule:3082 --><br /> | ||
<br /> | <br /> | ||
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.<br /> | 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.<br /> | ||
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<br /> | <br /> | ||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --><!-- ws:start:WikiTextLocalImageRule:3084:&lt;img src=&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&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 957px; width: 800px;&quot; /&gt; --><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;" /><!-- ws:end:WikiTextLocalImageRule:3084 --></h2> | ||
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To extend ups and downs to rank-2 tunings, the up symbol is assigned not only a <strong>keyspan</strong> (always +1) but also a <strong>genspan</strong>, which indicates how many steps forward or backwards along the generator chain, or <strong>genchain</strong>, one must travel to find the interval.<br /> | To extend ups and downs to rank-2 tunings, the up symbol is assigned not only a <strong>keyspan</strong> (always +1) but also a <strong>genspan</strong>, which indicates how many steps forward or backwards along the generator chain, or <strong>genchain</strong>, one must travel to find the interval.<br /> | ||
<br /> | <br /> | ||
For example, in the 22-tone framework, up has a genspan of -5, corresponding to a pythagorean minor 2nd of 256/243. Thus C^ is exactly equivalent to Db, because C^ = C + m2 = Db. C^^ | For example, in the 22-tone framework, up has a genspan of -5, corresponding to a pythagorean minor 2nd of 256/243. Thus C^ is exactly equivalent to Db, because C^ = C + m2 = Db. And C^^ = C^ + m2 = (C + m2)^, exactly equivalent to Db^. However, C^^ is not equivalent to Dvv, even though they occuy the same key on the keyboard, just as C# may not equal Db in 12-tone.<br /> | ||
<br /> | <br /> | ||
The usual genchain note names will run out of order when mapped to the 22-tone framework. For example, we might have C Db B# C# D. So ups and downs are used to provide alternate names for each note. It becomes C C^ C#v C# D, or equivalently C Db Dvv Dv D. The B# might instead be tuned Ebb, giving us C Db Ebb C# D. This could be written either C Db Db^ Dv D or C C^ C^^ C# D.<br /> | The usual genchain note names will run out of order when mapped to the 22-tone framework. For example, we might have C Db B# C# D. So ups and downs are used to provide alternate names for each note. It becomes C C^ C#v C# D, or equivalently C Db Dvv Dv D. The B# might instead be tuned Ebb, giving us C Db Ebb C# D. This could be written either C Db Db^ Dv D or C C^ C^^ C# D.<br /> | ||
| Line 4,067: | Line 4,101: | ||
G(^) = - (i * N - 7) / X<br /> | G(^) = - (i * N - 7) / X<br /> | ||
<br /> | <br /> | ||
For 22-tone, X = 3 and N = 22. We choose i to be the smallest (least absolute value) number that avoids fractions. Thus i = 1, G(^) = -5, and ^ = min 2nd. The other relevant frameworks of 53 or less:<br /> | |||
For 22-tone, X = 3 and N = 22. We choose i to be the smallest (least absolute value) number that avoids fractions. Thus i = 1, G(^) = -5, and ^ = min 2nd. | |||
<br /> | |||
<br /> | <br /> | ||
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The value of i equals the stepspan of the up, except in the case of 49-tone.<br /> | The value of i equals the stepspan of the up, except in the case of 49-tone.<br /> | ||
<br /> | <br /> | ||
For most frameworks, the genchain will be similar to that of 22-tone. But when i isn't 1, things are different.</body></html></pre></div> | For most frameworks, the genchain will be similar to that of 22-tone. But when i isn't 1, things are different.<br /> | ||
<br /> | |||
<br /> | |||
Fbb Cbb Gbb Dbb Abb Ebb Bbb Fb Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E# B# Fx Cx Gx Dx Ax Ex Bx<br /> | |||
29-tone<br /> | |||
C * Db C# * D * Eb D# * E * F * Gb F# * G * Ab G# * A * Bb A# * B * C<br /> | |||
<br /> | |||
The 29-tone genchain:<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td style="text-align: center;">genspan from C<br /> | |||
</td> | |||
<td style="text-align: center;">keyspan from C<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-13<br /> | |||
</td> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td>E#vv<br /> | |||
</td> | |||
<td>Fv<br /> | |||
</td> | |||
<td>Gbb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-12<br /> | |||
</td> | |||
<td style="text-align: center;">28<br /> | |||
</td> | |||
<td>B#vv<br /> | |||
</td> | |||
<td>Cv<br /> | |||
</td> | |||
<td>Dbb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-11<br /> | |||
</td> | |||
<td style="text-align: center;">16<br /> | |||
</td> | |||
<td>Fxvv<br /> | |||
</td> | |||
<td>Gv<br /> | |||
</td> | |||
<td>Abb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-10<br /> | |||
</td> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
<td>Cxvv<br /> | |||
</td> | |||
<td>Dv<br /> | |||
</td> | |||
<td>Ebb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-9<br /> | |||
</td> | |||
<td style="text-align: center;">21<br /> | |||
</td> | |||
<td>Gxvv<br /> | |||
</td> | |||
<td>Av<br /> | |||
</td> | |||
<td>Bbb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-8<br /> | |||
</td> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td>Dxvv<br /> | |||
</td> | |||
<td>Ev<br /> | |||
</td> | |||
<td style="text-align: center;">Fb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-7<br /> | |||
</td> | |||
<td style="text-align: center;">26<br /> | |||
</td> | |||
<td>Axvv<br /> | |||
</td> | |||
<td>Bv<br /> | |||
</td> | |||
<td style="text-align: center;">Cb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-6<br /> | |||
</td> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td>Exvv<br /> | |||
</td> | |||
<td>F#v<br /> | |||
</td> | |||
<td style="text-align: center;">Gb<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-5<br /> | |||
</td> | |||
<td style="text-align: center;">2<br /> | |||
</td> | |||
<td>Bxvv<br /> | |||
</td> | |||
<td>C#v<br /> | |||
</td> | |||
<td style="text-align: center;">Db<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-4<br /> | |||
</td> | |||
<td style="text-align: center;">19<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>G#v<br /> | |||
</td> | |||
<td style="text-align: center;">Ab<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-3<br /> | |||
</td> | |||
<td style="text-align: center;">7<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>D#v<br /> | |||
</td> | |||
<td style="text-align: center;">Eb<br /> | |||
</td> | |||
<td style="text-align: center;">Fbb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-2<br /> | |||
</td> | |||
<td style="text-align: center;">24<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>A#v<br /> | |||
</td> | |||
<td style="text-align: center;">Bb<br /> | |||
</td> | |||
<td style="text-align: center;">Cbb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">-1<br /> | |||
</td> | |||
<td style="text-align: center;">12<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>E#v<br /> | |||
</td> | |||
<td style="text-align: center;">F<br /> | |||
</td> | |||
<td style="text-align: center;">Gbb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td style="text-align: center;">0<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>B#v<br /> | |||
</td> | |||
<td style="text-align: center;">C<br /> | |||
</td> | |||
<td style="text-align: center;">Dbb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">1<br /> | |||
</td> | |||
<td style="text-align: center;">17<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Fxv<br /> | |||
</td> | |||
<td style="text-align: center;">G<br /> | |||
</td> | |||
<td style="text-align: center;">Abb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">2<br /> | |||
</td> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Cxv<br /> | |||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | |||
<td style="text-align: center;">Ebb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
<td style="text-align: center;">22<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Gxv<br /> | |||
</td> | |||
<td style="text-align: center;">A<br /> | |||
</td> | |||
<td style="text-align: center;">Bbb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">4<br /> | |||
</td> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Dxv<br /> | |||
</td> | |||
<td style="text-align: center;">E<br /> | |||
</td> | |||
<td style="text-align: center;">Fb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">5<br /> | |||
</td> | |||
<td style="text-align: center;">27<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Axv<br /> | |||
</td> | |||
<td style="text-align: center;">B<br /> | |||
</td> | |||
<td style="text-align: center;">Cb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">6<br /> | |||
</td> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Exv<br /> | |||
</td> | |||
<td style="text-align: center;">F#<br /> | |||
</td> | |||
<td style="text-align: center;">Gb^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">7<br /> | |||
</td> | |||
<td style="text-align: center;">3<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>Bxv<br /> | |||
</td> | |||
<td style="text-align: center;">C#<br /> | |||
</td> | |||
<td style="text-align: center;">Db^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td style="text-align: center;">20<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">G#<br /> | |||
</td> | |||
<td style="text-align: center;">Ab^<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">9<br /> | |||
</td> | |||
<td style="text-align: center;">8<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">D#<br /> | |||
</td> | |||
<td style="text-align: center;">Eb^<br /> | |||
</td> | |||
<td>Fbb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">10<br /> | |||
</td> | |||
<td style="text-align: center;">25<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">A#<br /> | |||
</td> | |||
<td style="text-align: center;">Bb^<br /> | |||
</td> | |||
<td>Cbb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">E#<br /> | |||
</td> | |||
<td style="text-align: center;">F^<br /> | |||
</td> | |||
<td>Gbb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">12<br /> | |||
</td> | |||
<td style="text-align: center;">1<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">B#<br /> | |||
</td> | |||
<td style="text-align: center;">C^<br /> | |||
</td> | |||
<td>Dbb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">13<br /> | |||
</td> | |||
<td style="text-align: center;">18<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">Fx<br /> | |||
</td> | |||
<td style="text-align: center;">G^<br /> | |||
</td> | |||
<td>Abb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">14<br /> | |||
</td> | |||
<td style="text-align: center;">6<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">Cx<br /> | |||
</td> | |||
<td style="text-align: center;">D^<br /> | |||
</td> | |||
<td>Ebb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">15<br /> | |||
</td> | |||
<td style="text-align: center;">23<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">Gx<br /> | |||
</td> | |||
<td style="text-align: center;">A^<br /> | |||
</td> | |||
<td>Bbb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">16<br /> | |||
</td> | |||
<td style="text-align: center;">11<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">Dx<br /> | |||
</td> | |||
<td style="text-align: center;">E^<br /> | |||
</td> | |||
<td>Fb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">17<br /> | |||
</td> | |||
<td style="text-align: center;">28<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">Ax<br /> | |||
</td> | |||
<td style="text-align: center;">B^<br /> | |||
</td> | |||
<td>Cb^^<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>etc.<br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
</table> | |||
</body></html></pre></div> | |||