47edo
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Original Wikitext content:
=<span style="color: #616161; font-size: 99%;">47 tone Equal Temperament</span>= **//47-EDO//** divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit [[k*N subgroups|2*47 subgroup]] of the [[23-limit]], on which it tempers out the same commas as [[94edo]]. It provides a good tuning for [[Chromatic pairs#Baldy|baldy]] and [[Chromatic pairs#Silver|silver]] temperaments and relatives. 47edo is the 15th [[prime numbers|prime]] edo, following [[43edo]] and preceding [[53edo]]. 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 roughly 7edo-ish scale: D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D D# is next to D. This notation requires triple, quadruple and in some keys, quintuple sharps and flats. For example, a 0-15-27-38 chord (an approximate 4:5:6:7) on the note three edosteps above D would be spelled either as D#<span style="font-size: 90%; vertical-align: super;">3</span> - F#<span style="font-size: 90%; vertical-align: super;">5</span> - A#<span style="font-size: 90%; vertical-align: super;">3</span> - C# or as Eb<span style="font-size: 90%; vertical-align: super;">4</span> - Gbb - Ab<span style="font-size: 90%; vertical-align: super;">4</span> - Db<span style="font-size: 90%; vertical-align: super;">6</span>. This would be an aug-three double-dim-seven chord, written D#<span style="font-size: 90%; vertical-align: super;">3</span>(A3)dd7 or Eb<span style="font-size: 90%; vertical-align: super;">4</span>(A3)dd7. 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 roughly 5edo-ish scale, with two of the notes inflected by a comma-sized edostep: 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. ==Intervals of 47edo== ||~ Degree ||~ Size (Cents) ||||~ relative notation ||~ absolute notation || ||= 0 ||> 0.0000 ||= perfect unison ||= P1 ||= D || ||= 1 ||> 25.5319 ||= aug 1sn ||= A1 ||= D# || ||= 2 ||> 51.0638 ||= double-aug 1sn ||= AA1 ||= Dx || ||= 3 ||> 76.5957 ||= triple-aug 1sn, triple-dim 2nd ||= A<span style="font-size: 90%; vertical-align: super;">3</span>1, d<span style="font-size: 90%; vertical-align: super;">3</span>2 ||= D#<span style="font-size: 90%; vertical-align: super;">3</span>, Eb<span style="font-size: 90%; vertical-align: super;">4</span> || ||= 4 ||> 102.1277 ||= double-dim 2nd ||= dd2 ||= Eb<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 5 ||> 127.6596 ||= dim 2nd ||= d2 ||= Ebb || ||= 6 ||> 153.1915 ||= minor 2nd ||= m2 ||= Eb || ||= 7 ||> 178.7234 ||= major 2nd ||= M2 ||= E || ||= 8 ||> 204.2553 ||= aug 2nd ||= A2 ||= E# || ||= 9 ||> 229.7872 ||= double-aug 2nd ||= AA2 ||= Ex || ||= 10 ||> 255.3191 ||= triple-aug 2nd, triple-dim 3rd ||= A<span style="font-size: 90%; vertical-align: super;">3</span>2, d<span style="font-size: 90%; vertical-align: super;">3</span>3 ||= E#<span style="font-size: 90%; vertical-align: super;">3</span>, Fb<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 11 ||> 280.8511 ||= double-dim 3rd ||= dd3 ||= Fbb || ||= 12 ||> 306.3830 ||= dim 3rd ||= d3 ||= Fb || ||= 13 ||> 331.9149 ||= minor 3rd ||= m3 ||= F || ||= 14 ||> 357.4468 ||= major 3rd ||= M3 ||= F# || ||= 15 ||> 382.9787 ||= aug 3rd ||= A3 ||= Fx || ||= 16 ||> 408.5106 ||= double-aug 3rd ||= AA3 ||= F#<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 17 ||> 434.0426 ||= triple-aug 3rd, triple-dim 4th ||= A<span style="font-size: 90%; vertical-align: super;">3</span>3, d<span style="font-size: 90%; vertical-align: super;">3</span>4 ||= F#<span style="font-size: 90%; vertical-align: super;">4</span>, Gb<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 18 ||> 459.5745 ||= double-dim 4th ||= dd4 ||= Gbb || ||= 19 ||> 485.1064 ||= dim 4th ||= d4 ||= Gb || ||= 20 ||> 510.6383 ||= perfect 4th ||= P4 ||= G || ||= 21 ||> 536.1702 ||= aug 4th ||= A4 ||= G# || ||= 22 ||> 561.7021 ||= double-aug 4th ||= AA4 ||= Gx || ||= 23 ||> 587.2340 ||= triple-aug 4th ||= A<span style="font-size: 90%; vertical-align: super;">3</span>4 ||= G#<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 24 ||> 612.7660 ||= triple-dim 5th ||= d<span style="font-size: 90%; vertical-align: super;">3</span>5 ||= Ab<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 25 ||> 638.2979 ||= double-dim 5th ||= dd5 ||= Abb || ||= 26 ||> 663.8298 ||= dim 5th ||= d5 ||= Ab || ||= 27 ||> 689.3617 ||= perfect 5th ||= P5 ||= A || ||= 28 ||> 714.8936 ||= aug 5th ||= A5 ||= A# || ||= 29 ||> 740.4255 ||= double-aug 5th ||= AA5 ||= Ax || ||= 30 ||> 765.9574 ||= triple-aug 5th, triple-dim 6th ||= A<span style="font-size: 90%; vertical-align: super;">3</span>5, d<span style="font-size: 90%; vertical-align: super;">3</span>6 ||= A#<span style="font-size: 90%; vertical-align: super;">3</span>, Bb<span style="font-size: 90%; vertical-align: super;">4</span> || ||= 31 ||> 791.4894 ||= double-dim 6th ||= dd6 ||= Bb<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 32 ||> 817.0213 ||= dim 6th ||= d6 ||= Bbb || ||= 33 ||> 842.5532 ||= minor 6th ||= m6 ||= Bb || ||= 34 ||> 868.0851 ||= major 6th ||= M6 ||= B || ||= 35 ||> 893.6170 ||= aug 6th ||= A6 ||= B# || ||= 36 ||> 919.1489 ||= double-aug 6th ||= AA6 ||= Bx || ||= 37 ||> 944.6809 ||= triple-aug 6th, triple-dim 7th ||= A<span style="font-size: 90%; vertical-align: super;">3</span>6, d<span style="font-size: 90%; vertical-align: super;">3</span>7 ||= B#<span style="font-size: 90%; vertical-align: super;">3</span>, Cb<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 38 ||> 970.2128 ||= double-dim 7th ||= dd7 ||= Cbb || ||= 39 ||> 995.7447 ||= dim 7th ||= d7 ||= Cb || ||= 40 ||> 1021.2766 ||= minor 7th ||= m7 ||= C || ||= 41 ||> 1046.8085 ||= major 7th ||= M7 ||= C# || ||= 42 ||> 1072.3404 ||= aug 7th ||= A7 ||= Cx || ||= 43 ||> 1097.8723 ||= double-aug 7th ||= AA7 ||= C#<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 44 ||> 1123.4043 ||= triple-aug 7th, triple-dim 8ve ||= A<span style="font-size: 90%; vertical-align: super;">3</span>7, d<span style="font-size: 90%; vertical-align: super;">3</span>8 ||= C#<span style="font-size: 90%; vertical-align: super;">4</span>, Db<span style="font-size: 90%; vertical-align: super;">3</span> || ||= 45 ||> 1148.9362 ||= double-dim 8ve ||= dd8 ||= Dbb || ||= 46 ||> 1174.4681 ||= dim 8ve ||= d8 ||= Db || ||= 47 ||> 1200.0000 ||= perfect 8ve ||= P8 ||= D ||
Original HTML content:
<html><head><title>47edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x47 tone Equal Temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #616161; font-size: 99%;">47 tone Equal Temperament</span></h1>
<br />
<strong><em>47-EDO</em></strong> divides the octave into 47 equal parts of 25.5319 cents each. It has a fifth which is 12.5933 cents flat, unless you use the alternative fifth which is 12.9386 cents sharp, similar to 35edo. It has therefore not aroused much interest, but its best approximation to 9/8 is actually quite good, one-third of a cent sharp. It does a good job of approximating the 2.9.5.7.33.13.17.57.69 23-limit <a class="wiki_link" href="/k%2AN%20subgroups">2*47 subgroup</a> of the <a class="wiki_link" href="/23-limit">23-limit</a>, on which it tempers out the same commas as <a class="wiki_link" href="/94edo">94edo</a>. It provides a good tuning for <a class="wiki_link" href="/Chromatic%20pairs#Baldy">baldy</a> and <a class="wiki_link" href="/Chromatic%20pairs#Silver">silver</a> temperaments and relatives.<br />
<br />
47edo is the 15th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/43edo">43edo</a> and preceding <a class="wiki_link" href="/53edo">53edo</a>.<br />
<br />
47edo is a <a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Other%20EDOs">regular</a> 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.<br />
<br />
A notation using the best 5th has major and minor 2nds of 7 and 6 edosteps respectively, with the naturals creating a roughly 7edo-ish scale:<br />
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D<br />
D# is next to D. This notation requires triple, quadruple and in some keys, quintuple sharps and flats. For example, a 0-15-27-38 chord (an approximate 4:5:6:7) on the note three edosteps above D would be spelled either as D#<span style="font-size: 90%; vertical-align: super;">3</span> - F#<span style="font-size: 90%; vertical-align: super;">5</span> - A#<span style="font-size: 90%; vertical-align: super;">3</span> - C# or as Eb<span style="font-size: 90%; vertical-align: super;">4</span> - Gbb - Ab<span style="font-size: 90%; vertical-align: super;">4</span> - Db<span style="font-size: 90%; vertical-align: super;">6</span>. This would be an aug-three double-dim-seven chord, written D#<span style="font-size: 90%; vertical-align: super;">3</span>(A3)dd7 or Eb<span style="font-size: 90%; vertical-align: super;">4</span>(A3)dd7.<br />
<br />
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 roughly 5edo-ish scale, with two of the notes inflected by a comma-sized edostep:<br />
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D<br />
D# is next to E. This notation requires quadruple, quintuple, and even sextuple ups and downs, as well as single sharps and flats.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x47 tone Equal Temperament-Intervals of 47edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals of 47edo</h2>
<br />
<table class="wiki_table">
<tr>
<th>Degree<br />
</th>
<th>Size (Cents)<br />
</th>
<th colspan="2">relative notation<br />
</th>
<th>absolute notation<br />
</th>
</tr>
<tr>
<td style="text-align: center;">0<br />
</td>
<td style="text-align: right;">0.0000<br />
</td>
<td style="text-align: center;">perfect unison<br />
</td>
<td style="text-align: center;">P1<br />
</td>
<td style="text-align: center;">D<br />
</td>
</tr>
<tr>
<td style="text-align: center;">1<br />
</td>
<td style="text-align: right;">25.5319<br />
</td>
<td style="text-align: center;">aug 1sn<br />
</td>
<td style="text-align: center;">A1<br />
</td>
<td style="text-align: center;">D#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">2<br />
</td>
<td style="text-align: right;">51.0638<br />
</td>
<td style="text-align: center;">double-aug 1sn<br />
</td>
<td style="text-align: center;">AA1<br />
</td>
<td style="text-align: center;">Dx<br />
</td>
</tr>
<tr>
<td style="text-align: center;">3<br />
</td>
<td style="text-align: right;">76.5957<br />
</td>
<td style="text-align: center;">triple-aug 1sn, triple-dim 2nd<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>1, d<span style="font-size: 90%; vertical-align: super;">3</span>2<br />
</td>
<td style="text-align: center;">D#<span style="font-size: 90%; vertical-align: super;">3</span>, Eb<span style="font-size: 90%; vertical-align: super;">4</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">4<br />
</td>
<td style="text-align: right;">102.1277<br />
</td>
<td style="text-align: center;">double-dim 2nd<br />
</td>
<td style="text-align: center;">dd2<br />
</td>
<td style="text-align: center;">Eb<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: right;">127.6596<br />
</td>
<td style="text-align: center;">dim 2nd<br />
</td>
<td style="text-align: center;">d2<br />
</td>
<td style="text-align: center;">Ebb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">6<br />
</td>
<td style="text-align: right;">153.1915<br />
</td>
<td style="text-align: center;">minor 2nd<br />
</td>
<td style="text-align: center;">m2<br />
</td>
<td style="text-align: center;">Eb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: right;">178.7234<br />
</td>
<td style="text-align: center;">major 2nd<br />
</td>
<td style="text-align: center;">M2<br />
</td>
<td style="text-align: center;">E<br />
</td>
</tr>
<tr>
<td style="text-align: center;">8<br />
</td>
<td style="text-align: right;">204.2553<br />
</td>
<td style="text-align: center;">aug 2nd<br />
</td>
<td style="text-align: center;">A2<br />
</td>
<td style="text-align: center;">E#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: right;">229.7872<br />
</td>
<td style="text-align: center;">double-aug 2nd<br />
</td>
<td style="text-align: center;">AA2<br />
</td>
<td style="text-align: center;">Ex<br />
</td>
</tr>
<tr>
<td style="text-align: center;">10<br />
</td>
<td style="text-align: right;">255.3191<br />
</td>
<td style="text-align: center;">triple-aug 2nd, triple-dim 3rd<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>2, d<span style="font-size: 90%; vertical-align: super;">3</span>3<br />
</td>
<td style="text-align: center;">E#<span style="font-size: 90%; vertical-align: super;">3</span>, Fb<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: right;">280.8511<br />
</td>
<td style="text-align: center;">double-dim 3rd<br />
</td>
<td style="text-align: center;">dd3<br />
</td>
<td style="text-align: center;">Fbb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">12<br />
</td>
<td style="text-align: right;">306.3830<br />
</td>
<td style="text-align: center;">dim 3rd<br />
</td>
<td style="text-align: center;">d3<br />
</td>
<td style="text-align: center;">Fb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: right;">331.9149<br />
</td>
<td style="text-align: center;">minor 3rd<br />
</td>
<td style="text-align: center;">m3<br />
</td>
<td style="text-align: center;">F<br />
</td>
</tr>
<tr>
<td style="text-align: center;">14<br />
</td>
<td style="text-align: right;">357.4468<br />
</td>
<td style="text-align: center;">major 3rd<br />
</td>
<td style="text-align: center;">M3<br />
</td>
<td style="text-align: center;">F#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">15<br />
</td>
<td style="text-align: right;">382.9787<br />
</td>
<td style="text-align: center;">aug 3rd<br />
</td>
<td style="text-align: center;">A3<br />
</td>
<td style="text-align: center;">Fx<br />
</td>
</tr>
<tr>
<td style="text-align: center;">16<br />
</td>
<td style="text-align: right;">408.5106<br />
</td>
<td style="text-align: center;">double-aug 3rd<br />
</td>
<td style="text-align: center;">AA3<br />
</td>
<td style="text-align: center;">F#<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">17<br />
</td>
<td style="text-align: right;">434.0426<br />
</td>
<td style="text-align: center;">triple-aug 3rd, triple-dim 4th<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>3, d<span style="font-size: 90%; vertical-align: super;">3</span>4<br />
</td>
<td style="text-align: center;">F#<span style="font-size: 90%; vertical-align: super;">4</span>, Gb<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">18<br />
</td>
<td style="text-align: right;">459.5745<br />
</td>
<td style="text-align: center;">double-dim 4th<br />
</td>
<td style="text-align: center;">dd4<br />
</td>
<td style="text-align: center;">Gbb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">19<br />
</td>
<td style="text-align: right;">485.1064<br />
</td>
<td style="text-align: center;">dim 4th<br />
</td>
<td style="text-align: center;">d4<br />
</td>
<td style="text-align: center;">Gb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">20<br />
</td>
<td style="text-align: right;">510.6383<br />
</td>
<td style="text-align: center;">perfect 4th<br />
</td>
<td style="text-align: center;">P4<br />
</td>
<td style="text-align: center;">G<br />
</td>
</tr>
<tr>
<td style="text-align: center;">21<br />
</td>
<td style="text-align: right;">536.1702<br />
</td>
<td style="text-align: center;">aug 4th<br />
</td>
<td style="text-align: center;">A4<br />
</td>
<td style="text-align: center;">G#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">22<br />
</td>
<td style="text-align: right;">561.7021<br />
</td>
<td style="text-align: center;">double-aug 4th<br />
</td>
<td style="text-align: center;">AA4<br />
</td>
<td style="text-align: center;">Gx<br />
</td>
</tr>
<tr>
<td style="text-align: center;">23<br />
</td>
<td style="text-align: right;">587.2340<br />
</td>
<td style="text-align: center;">triple-aug 4th<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>4<br />
</td>
<td style="text-align: center;">G#<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">24<br />
</td>
<td style="text-align: right;">612.7660<br />
</td>
<td style="text-align: center;">triple-dim 5th<br />
</td>
<td style="text-align: center;">d<span style="font-size: 90%; vertical-align: super;">3</span>5<br />
</td>
<td style="text-align: center;">Ab<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">25<br />
</td>
<td style="text-align: right;">638.2979<br />
</td>
<td style="text-align: center;">double-dim 5th<br />
</td>
<td style="text-align: center;">dd5<br />
</td>
<td style="text-align: center;">Abb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">26<br />
</td>
<td style="text-align: right;">663.8298<br />
</td>
<td style="text-align: center;">dim 5th<br />
</td>
<td style="text-align: center;">d5<br />
</td>
<td style="text-align: center;">Ab<br />
</td>
</tr>
<tr>
<td style="text-align: center;">27<br />
</td>
<td style="text-align: right;">689.3617<br />
</td>
<td style="text-align: center;">perfect 5th<br />
</td>
<td style="text-align: center;">P5<br />
</td>
<td style="text-align: center;">A<br />
</td>
</tr>
<tr>
<td style="text-align: center;">28<br />
</td>
<td style="text-align: right;">714.8936<br />
</td>
<td style="text-align: center;">aug 5th<br />
</td>
<td style="text-align: center;">A5<br />
</td>
<td style="text-align: center;">A#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">29<br />
</td>
<td style="text-align: right;">740.4255<br />
</td>
<td style="text-align: center;">double-aug 5th<br />
</td>
<td style="text-align: center;">AA5<br />
</td>
<td style="text-align: center;">Ax<br />
</td>
</tr>
<tr>
<td style="text-align: center;">30<br />
</td>
<td style="text-align: right;">765.9574<br />
</td>
<td style="text-align: center;">triple-aug 5th, triple-dim 6th<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>5, d<span style="font-size: 90%; vertical-align: super;">3</span>6<br />
</td>
<td style="text-align: center;">A#<span style="font-size: 90%; vertical-align: super;">3</span>, Bb<span style="font-size: 90%; vertical-align: super;">4</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">31<br />
</td>
<td style="text-align: right;">791.4894<br />
</td>
<td style="text-align: center;">double-dim 6th<br />
</td>
<td style="text-align: center;">dd6<br />
</td>
<td style="text-align: center;">Bb<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">32<br />
</td>
<td style="text-align: right;">817.0213<br />
</td>
<td style="text-align: center;">dim 6th<br />
</td>
<td style="text-align: center;">d6<br />
</td>
<td style="text-align: center;">Bbb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">33<br />
</td>
<td style="text-align: right;">842.5532<br />
</td>
<td style="text-align: center;">minor 6th<br />
</td>
<td style="text-align: center;">m6<br />
</td>
<td style="text-align: center;">Bb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">34<br />
</td>
<td style="text-align: right;">868.0851<br />
</td>
<td style="text-align: center;">major 6th<br />
</td>
<td style="text-align: center;">M6<br />
</td>
<td style="text-align: center;">B<br />
</td>
</tr>
<tr>
<td style="text-align: center;">35<br />
</td>
<td style="text-align: right;">893.6170<br />
</td>
<td style="text-align: center;">aug 6th<br />
</td>
<td style="text-align: center;">A6<br />
</td>
<td style="text-align: center;">B#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">36<br />
</td>
<td style="text-align: right;">919.1489<br />
</td>
<td style="text-align: center;">double-aug 6th<br />
</td>
<td style="text-align: center;">AA6<br />
</td>
<td style="text-align: center;">Bx<br />
</td>
</tr>
<tr>
<td style="text-align: center;">37<br />
</td>
<td style="text-align: right;">944.6809<br />
</td>
<td style="text-align: center;">triple-aug 6th, triple-dim 7th<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>6, d<span style="font-size: 90%; vertical-align: super;">3</span>7<br />
</td>
<td style="text-align: center;">B#<span style="font-size: 90%; vertical-align: super;">3</span>, Cb<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">38<br />
</td>
<td style="text-align: right;">970.2128<br />
</td>
<td style="text-align: center;">double-dim 7th<br />
</td>
<td style="text-align: center;">dd7<br />
</td>
<td style="text-align: center;">Cbb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">39<br />
</td>
<td style="text-align: right;">995.7447<br />
</td>
<td style="text-align: center;">dim 7th<br />
</td>
<td style="text-align: center;">d7<br />
</td>
<td style="text-align: center;">Cb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">40<br />
</td>
<td style="text-align: right;">1021.2766<br />
</td>
<td style="text-align: center;">minor 7th<br />
</td>
<td style="text-align: center;">m7<br />
</td>
<td style="text-align: center;">C<br />
</td>
</tr>
<tr>
<td style="text-align: center;">41<br />
</td>
<td style="text-align: right;">1046.8085<br />
</td>
<td style="text-align: center;">major 7th<br />
</td>
<td style="text-align: center;">M7<br />
</td>
<td style="text-align: center;">C#<br />
</td>
</tr>
<tr>
<td style="text-align: center;">42<br />
</td>
<td style="text-align: right;">1072.3404<br />
</td>
<td style="text-align: center;">aug 7th<br />
</td>
<td style="text-align: center;">A7<br />
</td>
<td style="text-align: center;">Cx<br />
</td>
</tr>
<tr>
<td style="text-align: center;">43<br />
</td>
<td style="text-align: right;">1097.8723<br />
</td>
<td style="text-align: center;">double-aug 7th<br />
</td>
<td style="text-align: center;">AA7<br />
</td>
<td style="text-align: center;">C#<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">44<br />
</td>
<td style="text-align: right;">1123.4043<br />
</td>
<td style="text-align: center;">triple-aug 7th, triple-dim 8ve<br />
</td>
<td style="text-align: center;">A<span style="font-size: 90%; vertical-align: super;">3</span>7, d<span style="font-size: 90%; vertical-align: super;">3</span>8<br />
</td>
<td style="text-align: center;">C#<span style="font-size: 90%; vertical-align: super;">4</span>, Db<span style="font-size: 90%; vertical-align: super;">3</span><br />
</td>
</tr>
<tr>
<td style="text-align: center;">45<br />
</td>
<td style="text-align: right;">1148.9362<br />
</td>
<td style="text-align: center;">double-dim 8ve<br />
</td>
<td style="text-align: center;">dd8<br />
</td>
<td style="text-align: center;">Dbb<br />
</td>
</tr>
<tr>
<td style="text-align: center;">46<br />
</td>
<td style="text-align: right;">1174.4681<br />
</td>
<td style="text-align: center;">dim 8ve<br />
</td>
<td style="text-align: center;">d8<br />
</td>
<td style="text-align: center;">Db<br />
</td>
</tr>
<tr>
<td style="text-align: center;">47<br />
</td>
<td style="text-align: right;">1200.0000<br />
</td>
<td style="text-align: center;">perfect 8ve<br />
</td>
<td style="text-align: center;">P8<br />
</td>
<td style="text-align: center;">D<br />
</td>
</tr>
</table>
</body></html>