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47edo: Difference between revisions

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**Imported revision 617218497 - Original comment: **
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**Imported revision 617219405 - 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>2017-09-05 14:52:52 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-09-05 15:05:09 UTC</tt>.<br>
: The original revision id was <tt>617218497</tt>.<br>
: The original revision id was <tt>617219405</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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47edo is a [[Ups and Downs Notation#Other%20EDOs|regular]] edo because its 5th falls between 4\7 = 686¢ and 3\5 = 720¢. (Its alternate 5th does as well.) 47edo is the most difficult regular edo to notate, because no other regular edo's 5th is as far off from a just 3/2.
47edo is a [[Ups and Downs Notation#Other%20EDOs|regular]] edo because its 5th falls between 4\7 = 686¢ and 3\5 = 720¢. (Its alternate 5th does as well.) 47edo is the most difficult regular edo to notate, because no other regular edo's 5th is as far off from a just 3/2.


A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a very 7edo-ish scale:  
A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a very 7edo-ish scale:
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D
D# is next to D. This notation requires triple, quadruple and even quintuple sharps and flats.
D# is next to D. This notation requires triple, quadruple and even quintuple sharps and flats.


Using the 2nd best 5th is even more awkward. The major 2nd is 9 edosteps and the minor is only one. The naturals create a very 5edo-ish scale, with two of the notes inflected by a comma-sized edostep:  
Using the 2nd best 5th is even more awkward. The major 2nd is 9 edosteps and the minor is only one. The naturals create a very 5edo-ish scale, with two of the notes inflected by a comma-sized edostep:
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D
D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.
D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.
Line 28: Line 28:
||= 1 ||&gt; 25.5319 ||= aug 1sn ||= A1 ||= D# ||
||= 1 ||&gt; 25.5319 ||= aug 1sn ||= A1 ||= D# ||
||= 2 ||&gt; 51.0638 ||= double-aug 1sn ||= AA1 ||= Dx ||
||= 2 ||&gt; 51.0638 ||= double-aug 1sn ||= AA1 ||= Dx ||
||= 3 ||&gt; 76.5957 ||= triple-aug 1sn, triple-dim 2nd ||= A31, d32 ||= D#3, Eb4 ||
||= 3 ||&gt; 76.5957 ||= triple-aug 1sn, triple-dim 2nd ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;1, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;2 ||= D#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Eb&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt; ||
||= 4 ||&gt; 102.1277 ||= double-dim 2nd ||= dd2 ||= Eb3 ||
||= 4 ||&gt; 102.1277 ||= double-dim 2nd ||= dd2 ||= Eb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 5 ||&gt; 127.6596 ||= dim 2nd ||= d2 ||= Ebb ||
||= 5 ||&gt; 127.6596 ||= dim 2nd ||= d2 ||= Ebb ||
||= 6 ||&gt; 153.1915 ||= minor 2nd ||= m2 ||= Eb ||
||= 6 ||&gt; 153.1915 ||= minor 2nd ||= m2 ||= Eb ||
Line 35: Line 35:
||= 8 ||&gt; 204.2553 ||= aug 2nd ||= A2 ||= E# ||
||= 8 ||&gt; 204.2553 ||= aug 2nd ||= A2 ||= E# ||
||= 9 ||&gt; 229.7872 ||= double-aug 2nd ||= AA2 ||= Ex ||
||= 9 ||&gt; 229.7872 ||= double-aug 2nd ||= AA2 ||= Ex ||
||= 10 ||&gt; 255.3191 ||= triple-aug 2nd, triple-dim 3rd ||= A32, d33 ||= E#3, Fb3 ||
||= 10 ||&gt; 255.3191 ||= triple-aug 2nd, triple-dim 3rd ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;2, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;3 ||= E#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Fb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 11 ||&gt; 280.8511 ||= double-dim 3rd ||= dd3 ||= Fbb ||
||= 11 ||&gt; 280.8511 ||= double-dim 3rd ||= dd3 ||= Fbb ||
||= 12 ||&gt; 306.3830 ||= dim 3rd ||= d3 ||= Fb ||
||= 12 ||&gt; 306.3830 ||= dim 3rd ||= d3 ||= Fb ||
Line 41: Line 41:
||= 14 ||&gt; 357.4468 ||= major 3rd ||= M3 ||= F# ||
||= 14 ||&gt; 357.4468 ||= major 3rd ||= M3 ||= F# ||
||= 15 ||&gt; 382.9787 ||= aug 3rd ||= A3 ||= Fx ||
||= 15 ||&gt; 382.9787 ||= aug 3rd ||= A3 ||= Fx ||
||= 16 ||&gt; 408.5106 ||= double-aug 3rd ||= AA3 ||= F#3 ||
||= 16 ||&gt; 408.5106 ||= double-aug 3rd ||= AA3 ||= F#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 17 ||&gt; 434.0426 ||= triple-aug 3rd, triple-dim 4th ||= A33, d34 ||= F#4, Gb3 ||
||= 17 ||&gt; 434.0426 ||= triple-aug 3rd, triple-dim 4th ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;3, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;4 ||= F#&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;, Gb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 18 ||&gt; 459.5745 ||= double-dim 4th ||= dd4 ||= Gbb ||
||= 18 ||&gt; 459.5745 ||= double-dim 4th ||= dd4 ||= Gbb ||
||= 19 ||&gt; 485.1064 ||= dim 4th ||= d4 ||= Gb ||
||= 19 ||&gt; 485.1064 ||= dim 4th ||= d4 ||= Gb ||
Line 48: Line 48:
||= 21 ||&gt; 536.1702 ||= aug 4th ||= A4 ||= G# ||
||= 21 ||&gt; 536.1702 ||= aug 4th ||= A4 ||= G# ||
||= 22 ||&gt; 561.7021 ||= double-aug 4th ||= AA4 ||= Gx ||
||= 22 ||&gt; 561.7021 ||= double-aug 4th ||= AA4 ||= Gx ||
||= 23 ||&gt; 587.2340 ||= triple-aug 4th ||= A34 ||= G#3 ||
||= 23 ||&gt; 587.2340 ||= triple-aug 4th ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;4 ||= G#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 24 ||&gt; 612.7660 ||= triple-dim 5th ||= d35 ||= Ab3 ||
||= 24 ||&gt; 612.7660 ||= triple-dim 5th ||= d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;5 ||= Ab&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 25 ||&gt; 638.2979 ||= double-dim 5th ||= dd5 ||= Abb ||
||= 25 ||&gt; 638.2979 ||= double-dim 5th ||= dd5 ||= Abb ||
||= 26 ||&gt; 663.8298 ||= dim 5th ||= d5 ||= Ab ||
||= 26 ||&gt; 663.8298 ||= dim 5th ||= d5 ||= Ab ||
Line 55: Line 55:
||= 28 ||&gt; 714.8936 ||= aug 5th ||= A5 ||= A# ||
||= 28 ||&gt; 714.8936 ||= aug 5th ||= A5 ||= A# ||
||= 29 ||&gt; 740.4255 ||= double-aug 5th ||= AA5 ||= Ax ||
||= 29 ||&gt; 740.4255 ||= double-aug 5th ||= AA5 ||= Ax ||
||= 30 ||&gt; 765.9574 ||= triple-aug 5th, triple-dim 6th ||= A35, d36 ||= A#3, Bb4 ||
||= 30 ||&gt; 765.9574 ||= triple-aug 5th, triple-dim 6th ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;5, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;6 ||= A#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Bb&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt; ||
||= 31 ||&gt; 791.4894 ||= double-dim 6th ||= dd6 ||= Bb3 ||
||= 31 ||&gt; 791.4894 ||= double-dim 6th ||= dd6 ||= Bb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 32 ||&gt; 817.0213 ||= dim 6th ||= d6 ||= Bbb ||
||= 32 ||&gt; 817.0213 ||= dim 6th ||= d6 ||= Bbb ||
||= 33 ||&gt; 842.5532 ||= minor 6th ||= m6 ||= Bb ||
||= 33 ||&gt; 842.5532 ||= minor 6th ||= m6 ||= Bb ||
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||= 35 ||&gt; 893.6170 ||= aug 6th ||= A6 ||= B# ||
||= 35 ||&gt; 893.6170 ||= aug 6th ||= A6 ||= B# ||
||= 36 ||&gt; 919.1489 ||= double-aug 6th ||= AA6 ||= Bx ||
||= 36 ||&gt; 919.1489 ||= double-aug 6th ||= AA6 ||= Bx ||
||= 37 ||&gt; 944.6809 ||= triple-aug 6th, triple-dim 7th ||= A36, d37 ||= B#3, Cb3 ||
||= 37 ||&gt; 944.6809 ||= triple-aug 6th, triple-dim 7th ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;6, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;7 ||= B#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Cb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 38 ||&gt; 970.2128 ||= double-dim 7th ||= dd7 ||= Cbb ||
||= 38 ||&gt; 970.2128 ||= double-dim 7th ||= dd7 ||= Cbb ||
||= 39 ||&gt; 995.7447 ||= dim 7th ||= d7 ||= Cb ||
||= 39 ||&gt; 995.7447 ||= dim 7th ||= d7 ||= Cb ||
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||= 41 ||&gt; 1046.8085 ||= major 7th ||= M7 ||= C# ||
||= 41 ||&gt; 1046.8085 ||= major 7th ||= M7 ||= C# ||
||= 42 ||&gt; 1072.3404 ||= aug 7th ||= A7 ||= Cx ||
||= 42 ||&gt; 1072.3404 ||= aug 7th ||= A7 ||= Cx ||
||= 43 ||&gt; 1097.8723 ||= double-aug 7th ||= AA7 ||= C#3 ||
||= 43 ||&gt; 1097.8723 ||= double-aug 7th ||= AA7 ||= C#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 44 ||&gt; 1123.4043 ||= triple-aug 7th, triple-dim 8ve ||= A37, d38 ||= C#4, Db3 ||
||= 44 ||&gt; 1123.4043 ||= triple-aug 7th, triple-dim 8ve ||= A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;7, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;8 ||= C#&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;, Db&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt; ||
||= 45 ||&gt; 1148.9362 ||= double-dim 8ve ||= dd8 ||= Dbb ||
||= 45 ||&gt; 1148.9362 ||= double-dim 8ve ||= dd8 ||= Dbb ||
||= 46 ||&gt; 1174.4681 ||= dim 8ve ||= d8 ||= Db ||
||= 46 ||&gt; 1174.4681 ||= dim 8ve ||= d8 ||= Db ||
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47edo is a &lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Other%20EDOs"&gt;regular&lt;/a&gt; edo because its 5th falls between 4\7 = 686¢ and 3\5 = 720¢. (Its alternate 5th does as well.) 47edo is the most difficult regular edo to notate, because no other regular edo's 5th is as far off from a just 3/2.&lt;br /&gt;
47edo is a &lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Other%20EDOs"&gt;regular&lt;/a&gt; edo because its 5th falls between 4\7 = 686¢ and 3\5 = 720¢. (Its alternate 5th does as well.) 47edo is the most difficult regular edo to notate, because no other regular edo's 5th is as far off from a just 3/2.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a very 7edo-ish scale: &lt;br /&gt;
A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a very 7edo-ish scale:&lt;br /&gt;
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D&lt;br /&gt;
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D&lt;br /&gt;
D# is next to D. This notation requires triple, quadruple and even quintuple sharps and flats.&lt;br /&gt;
D# is next to D. This notation requires triple, quadruple and even quintuple sharps and flats.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Using the 2nd best 5th is even more awkward. The major 2nd is 9 edosteps and the minor is only one. The naturals create a very 5edo-ish scale, with two of the notes inflected by a comma-sized edostep: &lt;br /&gt;
Using the 2nd best 5th is even more awkward. The major 2nd is 9 edosteps and the minor is only one. The naturals create a very 5edo-ish scale, with two of the notes inflected by a comma-sized edostep:&lt;br /&gt;
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D&lt;br /&gt;
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D&lt;br /&gt;
D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.&lt;br /&gt;
D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;triple-aug 1sn, triple-dim 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 1sn, triple-dim 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A31, d32&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;1, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;D#3, Eb4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;D#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Eb&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: center;"&gt;dd2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;dd2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Eb3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Eb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: center;"&gt;triple-aug 2nd, triple-dim 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 2nd, triple-dim 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A32, d33&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;2, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;E#3, Fb3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;E#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Fb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 308: Line 308:
         &lt;td style="text-align: center;"&gt;AA3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;AA3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;F#3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 318: Line 318:
         &lt;td style="text-align: center;"&gt;triple-aug 3rd, triple-dim 4th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 3rd, triple-dim 4th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A33, d34&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;3, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;F#4, Gb3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F#&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;, Gb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 390: Line 390:
         &lt;td style="text-align: center;"&gt;triple-aug 4th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 4th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A34&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;G#3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;G#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 402: Line 402:
         &lt;td style="text-align: center;"&gt;triple-dim 5th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-dim 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;d35&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Ab3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ab&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 474: Line 474:
         &lt;td style="text-align: center;"&gt;triple-aug 5th, triple-dim 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 5th, triple-dim 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A35, d36&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;5, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A#3, Bb4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Bb&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 488: Line 488:
         &lt;td style="text-align: center;"&gt;dd6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;dd6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Bb3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Bb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 558: Line 558:
         &lt;td style="text-align: center;"&gt;triple-aug 6th, triple-dim 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 6th, triple-dim 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A36, d37&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;6, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;B#3, Cb3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;B#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;, Cb&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 632: Line 632:
         &lt;td style="text-align: center;"&gt;AA7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;AA7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;C#3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C#&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 642: Line 642:
         &lt;td style="text-align: center;"&gt;triple-aug 7th, triple-dim 8ve&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;triple-aug 7th, triple-dim 8ve&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A37, d38&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;7, d&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;C#4, Db3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C#&lt;span style="font-size: 90%; vertical-align: super;"&gt;4&lt;/span&gt;, Db&lt;span style="font-size: 90%; vertical-align: super;"&gt;3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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