47edo: Difference between revisions
Wikispaces>TallKite **Imported revision 617184721 - Original comment: ** |
Wikispaces>TallKite **Imported revision 617218497 - 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 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-09-05 14:52:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>617218497</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 the 15th [[prime numbers|prime]] edo, following [[43edo]] and preceding [[53edo]]. | 47edo is the 15th [[prime numbers|prime]] edo, following [[43edo]] and preceding [[53edo]]. | ||
47edo is a 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 | ||
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 | 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 | ||
This notation requires quintuple | 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== | ==Intervals of 47edo== | ||
||~ Degree ||~ Size (Cents) ||~ relative notation || | ||~ Degree ||~ Size (Cents) ||~ relative notation ||~ ||~ absolute notation || | ||
||= 0 ||> 0.0000 ||= P1 || | ||= 0 ||> 0.0000 ||= perfect unison ||= P1 ||= D || | ||
||= 1 ||> 25.5319 || A1 || | ||= 1 ||> 25.5319 ||= aug 1sn ||= A1 ||= D# || | ||
||= 2 ||> 51.0638 || AA1 || | ||= 2 ||> 51.0638 ||= double-aug 1sn ||= AA1 ||= Dx || | ||
||= 3 ||> 76.5957 || A31, d32 || | ||= 3 ||> 76.5957 ||= triple-aug 1sn, triple-dim 2nd ||= A31, d32 ||= D#3, Eb4 || | ||
||= 4 ||> 102.1277 || dd2 || | ||= 4 ||> 102.1277 ||= double-dim 2nd ||= dd2 ||= Eb3 || | ||
||= 5 ||> 127.6596 || d2 || | ||= 5 ||> 127.6596 ||= dim 2nd ||= d2 ||= Ebb || | ||
||= 6 ||> 153.1915 || m2 || | ||= 6 ||> 153.1915 ||= minor 2nd ||= m2 ||= Eb || | ||
||= 7 ||> 178.7234 || M2 || | ||= 7 ||> 178.7234 ||= major 2nd ||= M2 ||= E || | ||
||= 8 ||> 204.2553 || | ||= 8 ||> 204.2553 ||= aug 2nd ||= A2 ||= E# || | ||
||= 9 ||> 229.7872 || | ||= 9 ||> 229.7872 ||= double-aug 2nd ||= AA2 ||= Ex || | ||
||= 10 ||> 255.3191 || | ||= 10 ||> 255.3191 ||= triple-aug 2nd, triple-dim 3rd ||= A32, d33 ||= E#3, Fb3 || | ||
||= 11 ||> 280.8511 || | ||= 11 ||> 280.8511 ||= double-dim 3rd ||= dd3 ||= Fbb || | ||
||= 12 ||> 306.3830 || | ||= 12 ||> 306.3830 ||= dim 3rd ||= d3 ||= Fb || | ||
||= 13 ||> 331.9149 || | ||= 13 ||> 331.9149 ||= minor 3rd ||= m3 ||= F || | ||
||= 14 ||> 357.4468 || M3 || | ||= 14 ||> 357.4468 ||= major 3rd ||= M3 ||= F# || | ||
||= 15 ||> 382.9787 || | ||= 15 ||> 382.9787 ||= aug 3rd ||= A3 ||= Fx || | ||
||= 16 ||> 408.5106 || | ||= 16 ||> 408.5106 ||= double-aug 3rd ||= AA3 ||= F#3 || | ||
||= 17 ||> 434.0426 || | ||= 17 ||> 434.0426 ||= triple-aug 3rd, triple-dim 4th ||= A33, d34 ||= F#4, Gb3 || | ||
||= 18 ||> 459.5745 || | ||= 18 ||> 459.5745 ||= double-dim 4th ||= dd4 ||= Gbb || | ||
||= 19 ||> 485.1064 || | ||= 19 ||> 485.1064 ||= dim 4th ||= d4 ||= Gb || | ||
||= 20 ||> 510.6383 || | ||= 20 ||> 510.6383 ||= perfect 4th ||= P4 ||= G || | ||
||= 21 ||> 536.1702 || | ||= 21 ||> 536.1702 ||= aug 4th ||= A4 ||= G# || | ||
||= 22 ||> 561.7021 || | ||= 22 ||> 561.7021 ||= double-aug 4th ||= AA4 ||= Gx || | ||
||= 23 ||> 587.2340 || | ||= 23 ||> 587.2340 ||= triple-aug 4th ||= A34 ||= G#3 || | ||
||= 24 ||> 612.7660 || | ||= 24 ||> 612.7660 ||= triple-dim 5th ||= d35 ||= Ab3 || | ||
||= 25 ||> 638.2979 || | ||= 25 ||> 638.2979 ||= double-dim 5th ||= dd5 ||= Abb || | ||
||= 26 ||> 663.8298 || | ||= 26 ||> 663.8298 ||= dim 5th ||= d5 ||= Ab || | ||
||= 27 ||> 689.3617 || | ||= 27 ||> 689.3617 ||= perfect 5th ||= P5 ||= A || | ||
||= 28 ||> 714.8936 || | ||= 28 ||> 714.8936 ||= aug 5th ||= A5 ||= A# || | ||
||= 29 ||> 740.4255 || | ||= 29 ||> 740.4255 ||= double-aug 5th ||= AA5 ||= Ax || | ||
||= 30 ||> 765.9574 || | ||= 30 ||> 765.9574 ||= triple-aug 5th, triple-dim 6th ||= A35, d36 ||= A#3, Bb4 || | ||
||= 31 ||> 791.4894 || | ||= 31 ||> 791.4894 ||= double-dim 6th ||= dd6 ||= Bb3 || | ||
||= 32 ||> 817.0213 || | ||= 32 ||> 817.0213 ||= dim 6th ||= d6 ||= Bbb || | ||
||= 33 ||> 842.5532 || | ||= 33 ||> 842.5532 ||= minor 6th ||= m6 ||= Bb || | ||
||= 34 ||> 868.0851 || | ||= 34 ||> 868.0851 ||= major 6th ||= M6 ||= B || | ||
||= 35 ||> 893.6170 || | ||= 35 ||> 893.6170 ||= aug 6th ||= A6 ||= B# || | ||
||= 36 ||> 919.1489 || | ||= 36 ||> 919.1489 ||= double-aug 6th ||= AA6 ||= Bx || | ||
||= 37 ||> 944.6809 || | ||= 37 ||> 944.6809 ||= triple-aug 6th, triple-dim 7th ||= A36, d37 ||= B#3, Cb3 || | ||
||= 38 ||> 970.2128 || | ||= 38 ||> 970.2128 ||= double-dim 7th ||= dd7 ||= Cbb || | ||
||= 39 ||> 995.7447 || | ||= 39 ||> 995.7447 ||= dim 7th ||= d7 ||= Cb || | ||
||= 40 ||> 1021.2766 || | ||= 40 ||> 1021.2766 ||= minor 7th ||= m7 ||= C || | ||
||= 41 ||> 1046.8085 || | ||= 41 ||> 1046.8085 ||= major 7th ||= M7 ||= C# || | ||
||= 42 ||> 1072.3404 || | ||= 42 ||> 1072.3404 ||= aug 7th ||= A7 ||= Cx || | ||
||= 43 ||> 1097.8723 || | ||= 43 ||> 1097.8723 ||= double-aug 7th ||= AA7 ||= C#3 || | ||
||= 44 ||> 1123.4043 || | ||= 44 ||> 1123.4043 ||= triple-aug 7th, triple-dim 8ve ||= A37, d38 ||= C#4, Db3 || | ||
||= 45 ||> 1148.9362 || | ||= 45 ||> 1148.9362 ||= double-dim 8ve ||= dd8 ||= Dbb || | ||
||= 46 ||> 1174.4681 || | ||= 46 ||> 1174.4681 ||= dim 8ve ||= d8 ||= Db || | ||
||= 47 ||> 1200.0000 || | ||= 47 ||> 1200.0000 ||= perfect 8ve ||= P8 ||= D ||</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>47edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><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> | <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>47edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><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> | ||
| Line 81: | Line 80: | ||
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 /> | 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 /> | <br /> | ||
47edo is a 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.<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 /> | <br /> | ||
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: <br /> | 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: <br /> | ||
D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D<br /> | D * * * * * * E * * * * * F * * * * * * G * * * * * * A * * * * * * B * * * * * C * * * * * * D<br /> | ||
This notation requires triple, quadruple and even quintuple sharps and flats.<br /> | D# is next to D. This notation requires triple, quadruple and even quintuple sharps and flats.<br /> | ||
<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 very 5edo-ish scale, with | 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: <br /> | ||
D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D<br /> | D * * * * * * * * E F * * * * * * * * G * * * * * * * * A * * * * * * * * B C * * * * * * * * D<br /> | ||
This notation requires quintuple | 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 /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x47 tone Equal Temperament-Intervals of 47edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals of 47edo</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x47 tone Equal Temperament-Intervals of 47edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals of 47edo</h2> | ||
| Line 103: | Line 101: | ||
</th> | </th> | ||
<th>relative notation<br /> | <th>relative notation<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th>absolute notation<br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 109: | Line 111: | ||
</td> | </td> | ||
<td style="text-align: right;">0.0000<br /> | <td style="text-align: right;">0.0000<br /> | ||
</td> | |||
<td style="text-align: center;">perfect unison<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">P1<br /> | <td style="text-align: center;">P1<br /> | ||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 118: | Line 124: | ||
<td style="text-align: right;">25.5319<br /> | <td style="text-align: right;">25.5319<br /> | ||
</td> | </td> | ||
<td>A1<br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 126: | Line 136: | ||
<td style="text-align: right;">51.0638<br /> | <td style="text-align: right;">51.0638<br /> | ||
</td> | </td> | ||
<td>AA1<br /> | <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> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: right;">76.5957<br /> | <td style="text-align: right;">76.5957<br /> | ||
</td> | </td> | ||
<td>A31, d32<br /> | <td style="text-align: center;">triple-aug 1sn, triple-dim 2nd<br /> | ||
</td> | |||
<td style="text-align: center;">A31, d32<br /> | |||
</td> | |||
<td style="text-align: center;">D#3, Eb4<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: right;">102.1277<br /> | <td style="text-align: right;">102.1277<br /> | ||
</td> | </td> | ||
<td>dd2<br /> | <td style="text-align: center;">double-dim 2nd<br /> | ||
</td> | |||
<td style="text-align: center;">dd2<br /> | |||
</td> | |||
<td style="text-align: center;">Eb3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 150: | Line 172: | ||
<td style="text-align: right;">127.6596<br /> | <td style="text-align: right;">127.6596<br /> | ||
</td> | </td> | ||
<td>d2<br /> | <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> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: right;">153.1915<br /> | <td style="text-align: right;">153.1915<br /> | ||
</td> | </td> | ||
<td>m2<br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 166: | Line 196: | ||
<td style="text-align: right;">178.7234<br /> | <td style="text-align: right;">178.7234<br /> | ||
</td> | </td> | ||
<td>M2<br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 174: | Line 208: | ||
<td style="text-align: right;">204.2553<br /> | <td style="text-align: right;">204.2553<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 182: | Line 220: | ||
<td style="text-align: right;">229.7872<br /> | <td style="text-align: right;">229.7872<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 190: | Line 232: | ||
<td style="text-align: right;">255.3191<br /> | <td style="text-align: right;">255.3191<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 2nd, triple-dim 3rd<br /> | ||
</td> | |||
<td style="text-align: center;">A32, d33<br /> | |||
</td> | |||
<td style="text-align: center;">E#3, Fb3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: right;">280.8511<br /> | <td style="text-align: right;">280.8511<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 206: | Line 256: | ||
<td style="text-align: right;">306.3830<br /> | <td style="text-align: right;">306.3830<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 214: | Line 268: | ||
<td style="text-align: right;">331.9149<br /> | <td style="text-align: right;">331.9149<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 222: | Line 280: | ||
<td style="text-align: right;">357.4468<br /> | <td style="text-align: right;">357.4468<br /> | ||
</td> | </td> | ||
<td>M3<br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 230: | Line 292: | ||
<td style="text-align: right;">382.9787<br /> | <td style="text-align: right;">382.9787<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 238: | Line 304: | ||
<td style="text-align: right;">408.5106<br /> | <td style="text-align: right;">408.5106<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">double-aug 3rd<br /> | ||
</td> | |||
<td style="text-align: center;">AA3<br /> | |||
</td> | |||
<td style="text-align: center;">F#3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 246: | Line 316: | ||
<td style="text-align: right;">434.0426<br /> | <td style="text-align: right;">434.0426<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 3rd, triple-dim 4th<br /> | ||
</td> | |||
<td style="text-align: center;">A33, d34<br /> | |||
</td> | |||
<td style="text-align: center;">F#4, Gb3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 254: | Line 328: | ||
<td style="text-align: right;">459.5745<br /> | <td style="text-align: right;">459.5745<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 262: | Line 340: | ||
<td style="text-align: right;">485.1064<br /> | <td style="text-align: right;">485.1064<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 270: | Line 352: | ||
<td style="text-align: right;">510.6383<br /> | <td style="text-align: right;">510.6383<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 278: | Line 364: | ||
<td style="text-align: right;">536.1702<br /> | <td style="text-align: right;">536.1702<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 286: | Line 376: | ||
<td style="text-align: right;">561.7021<br /> | <td style="text-align: right;">561.7021<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 294: | Line 388: | ||
<td style="text-align: right;">587.2340<br /> | <td style="text-align: right;">587.2340<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 4th<br /> | ||
</td> | |||
<td style="text-align: center;">A34<br /> | |||
</td> | |||
<td style="text-align: center;">G#3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 302: | Line 400: | ||
<td style="text-align: right;">612.7660<br /> | <td style="text-align: right;">612.7660<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-dim 5th<br /> | ||
</td> | |||
<td style="text-align: center;">d35<br /> | |||
</td> | |||
<td style="text-align: center;">Ab3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 310: | Line 412: | ||
<td style="text-align: right;">638.2979<br /> | <td style="text-align: right;">638.2979<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 318: | Line 424: | ||
<td style="text-align: right;">663.8298<br /> | <td style="text-align: right;">663.8298<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 326: | Line 436: | ||
<td style="text-align: right;">689.3617<br /> | <td style="text-align: right;">689.3617<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 334: | Line 448: | ||
<td style="text-align: right;">714.8936<br /> | <td style="text-align: right;">714.8936<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 342: | Line 460: | ||
<td style="text-align: right;">740.4255<br /> | <td style="text-align: right;">740.4255<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 350: | Line 472: | ||
<td style="text-align: right;">765.9574<br /> | <td style="text-align: right;">765.9574<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 5th, triple-dim 6th<br /> | ||
</td> | |||
<td style="text-align: center;">A35, d36<br /> | |||
</td> | |||
<td style="text-align: center;">A#3, Bb4<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 358: | Line 484: | ||
<td style="text-align: right;">791.4894<br /> | <td style="text-align: right;">791.4894<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">double-dim 6th<br /> | ||
</td> | |||
<td style="text-align: center;">dd6<br /> | |||
</td> | |||
<td style="text-align: center;">Bb3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 366: | Line 496: | ||
<td style="text-align: right;">817.0213<br /> | <td style="text-align: right;">817.0213<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 374: | Line 508: | ||
<td style="text-align: right;">842.5532<br /> | <td style="text-align: right;">842.5532<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 382: | Line 520: | ||
<td style="text-align: right;">868.0851<br /> | <td style="text-align: right;">868.0851<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 390: | Line 532: | ||
<td style="text-align: right;">893.6170<br /> | <td style="text-align: right;">893.6170<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 398: | Line 544: | ||
<td style="text-align: right;">919.1489<br /> | <td style="text-align: right;">919.1489<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 406: | Line 556: | ||
<td style="text-align: right;">944.6809<br /> | <td style="text-align: right;">944.6809<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 6th, triple-dim 7th<br /> | ||
</td> | |||
<td style="text-align: center;">A36, d37<br /> | |||
</td> | |||
<td style="text-align: center;">B#3, Cb3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 414: | Line 568: | ||
<td style="text-align: right;">970.2128<br /> | <td style="text-align: right;">970.2128<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 422: | Line 580: | ||
<td style="text-align: right;">995.7447<br /> | <td style="text-align: right;">995.7447<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 430: | Line 592: | ||
<td style="text-align: right;">1021.2766<br /> | <td style="text-align: right;">1021.2766<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 438: | Line 604: | ||
<td style="text-align: right;">1046.8085<br /> | <td style="text-align: right;">1046.8085<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 446: | Line 616: | ||
<td style="text-align: right;">1072.3404<br /> | <td style="text-align: right;">1072.3404<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 454: | Line 628: | ||
<td style="text-align: right;">1097.8723<br /> | <td style="text-align: right;">1097.8723<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">double-aug 7th<br /> | ||
</td> | |||
<td style="text-align: center;">AA7<br /> | |||
</td> | |||
<td style="text-align: center;">C#3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 462: | Line 640: | ||
<td style="text-align: right;">1123.4043<br /> | <td style="text-align: right;">1123.4043<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">triple-aug 7th, triple-dim 8ve<br /> | ||
</td> | |||
<td style="text-align: center;">A37, d38<br /> | |||
</td> | |||
<td style="text-align: center;">C#4, Db3<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 470: | Line 652: | ||
<td style="text-align: right;">1148.9362<br /> | <td style="text-align: right;">1148.9362<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 478: | Line 664: | ||
<td style="text-align: right;">1174.4681<br /> | <td style="text-align: right;">1174.4681<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||
| Line 486: | Line 676: | ||
<td style="text-align: right;">1200.0000<br /> | <td style="text-align: right;">1200.0000<br /> | ||
</td> | </td> | ||
<td><br /> | <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> | </td> | ||
</tr> | </tr> | ||