53edo: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 567546795 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602865672 - Original comment: ** |
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| Line 1: | Line 1: | ||
<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: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-28 04:26:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602865672</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | <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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | ||
<span style="display: block; text-align: right;">Other languages: [[xenharmonie/53edo|Deutsch]]</span> | <span style="display: block; text-align: right;">Other languages: [[xenharmonie/53edo|Deutsch]] | ||
</span> | |||
=Theory= | =Theory= | ||
| Line 23: | Line 24: | ||
=Just Approximation= | =Just Approximation= | ||
53edo provides excellent approximations for the classic 5-limit [[xenharmonic/just|just]] chords and scales, such as the Ptolemy-Zarlino "just major" scale. | 53edo provides excellent approximations for the classic 5-limit [[xenharmonic/just|just]] chords and scales, such as the Ptolemy-Zarlino "just major" scale. | ||
||~ interval ||~ size ||~ | ||~ interval ||~ ratio ||~ size ||~ difference || | ||
|| perfect fifth ||= 31 || −0.07 cents || | || perfect fifth || 3/2 ||= 31 || −0.07 cents || | ||
|| major third ||= 17 || −1.40 cents || | || major third || 5/4 ||= 17 || −1.40 cents || | ||
|| minor third ||= 14 || +1.34 cents || | || minor third || 6/5 ||= 14 || +1.34 cents || | ||
|| major tone ||= 9 || −0.14 cents || | || major tone || 9/8 ||= 9 || −0.14 cents || | ||
|| minor tone ||= 8 || −1.27 cents || | || minor tone || 10/9 ||= 8 || −1.27 cents || | ||
|| diat. semitone ||= 5 || +1.48 cents || | || diat. semitone || 16/15 ||= 5 || +1.48 cents || | ||
One notable property of 53EDO is that it offers good approximations for both pure and pythagorean major thirds. | One notable property of 53EDO is that it offers good approximations for both pure and pythagorean major thirds. | ||
| Line 36: | Line 37: | ||
=Intervals= | =Intervals= | ||
|| | || degree || solfege || cents || approximate ratios ||||= [[xenharmonic/Ups and Downs Notation|ups and downs ]][[xenharmonic/Ups and Downs Notation|notation]] || generator for || | ||
|| 0 || do || 0.00 || 1/1 || || | || 0 || do || 0.00 || 1/1 ||= P1 ||= D || || | ||
|| 1 || di || 22.64 || 81/80, 64/63, 50/49 || || | || 1 || di || 22.64 || 81/80, 64/63, 50/49 ||= ^1 ||= D^ || || | ||
|| 2 || daw || 45.28 || 49/48, 36/35, 33/32, 128/125 || [[xenharmonic/Quartonic|Quartonic]] || | || 2 || daw || 45.28 || 49/48, 36/35, 33/32, 128/125 ||= ^^1, vvm2 ||= D^^, Ebvv || [[xenharmonic/Quartonic|Quartonic]] || | ||
|| 3 || ro || 67.92 || 27/26, 26/25, 25/24, 22/21 || || | || 3 || ro || 67.92 || 27/26, 26/25, 25/24, 22/21 ||= vm2 ||= Ebv || || | ||
|| 4 || rih || 90.57 || 21/20, 256/243 || || | || 4 || rih || 90.57 || 21/20, 256/243 ||= m2 ||= Eb || || | ||
|| 5 || ra || 113.21 || 16/15, 15/14 || || | || 5 || ra || 113.21 || 16/15, 15/14 ||= ^m2 ||= Eb^ || || | ||
|| 6 || ru || 135.85 || 14/13, 13/12, 27/25 || || | || 6 || ru || 135.85 || 14/13, 13/12, 27/25 ||= ^^m2 ||= Eb^^ || || | ||
|| 7 || ruh || 158.49 || 12/11, 11/10, 800/729 || [[xenharmonic/Hemikleismic|Hemikleismic]] || | || 7 || ruh || 158.49 || 12/11, 11/10, 800/729 ||= vvM2 ||= Evv || [[xenharmonic/Hemikleismic|Hemikleismic]] || | ||
|| 8 || reh || 181.13 || 10/9 || || | || 8 || reh || 181.13 || 10/9 ||= vM2 ||= Ev || || | ||
|| 9 || re || 203.77 || 9/8 || || | || 9 || re || 203.77 || 9/8 ||= M2 ||= E || || | ||
|| 10 || ri || 226.42 || 8/7, 256/225 || || | || 10 || ri || 226.42 || 8/7, 256/225 ||= ^M2 ||= E^ || || | ||
|| 11 || raw || 249.06 || 15/13, 144/125 || [[xenharmonic/Hemischis|Hemischis]] || | || 11 || raw || 249.06 || 15/13, 144/125 ||= vvM2, vvm3 ||= E^^, vvF || [[xenharmonic/Hemischis|Hemischis]] || | ||
|| 12 || ma || 271.70 || 7/6, 75/64 || [[xenharmonic/Orwell|Orwell]] || | || 12 || ma || 271.70 || 7/6, 75/64 ||= vm3 ||= vF || [[xenharmonic/Orwell|Orwell]] || | ||
|| 13 || meh || 294.34 || 13/11, 32/27 || || | || 13 || meh || 294.34 || 13/11, 32/27 ||= m3 ||= F || || | ||
|| 14 || me || 316.98 || 6/5 || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | || 14 || me || 316.98 || 6/5 ||= ^m3 ||= F^ || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | ||
|| 15 || mu || 339.62 || 11/9, 243/200 || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | || 15 || mu || 339.62 || 11/9, 243/200 ||= ^^m3 ||= F^^ || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | ||
|| 16 || muh || 362.26 || 16/13, 100/81 || || | || 16 || muh || 362.26 || 16/13, 100/81 ||= vvM3 ||= F#vv || || | ||
|| 17 || mi || 384.91 || 5/4 || || | || 17 || mi || 384.91 || 5/4 ||= vM3 ||= F#v || || | ||
|| 18 || maa || 407.55 || 81/64 || || | || 18 || maa || 407.55 || 81/64 ||= M3 ||= F# || || | ||
|| 19 || mo || 430.19 || 9/7, 14/11 || [[Hamity]] || | || 19 || mo || 430.19 || 9/7, 14/11 ||= ^M3 ||= F#^ || [[Hamity]] || | ||
|| 20 || maw || 452.83 || 13/10, 125/96 || | || 20 || maw || 452.83 || 13/10, 125/96 ||= ^^M3, vv4 ||= F#^^, Gvv || || | ||
|| 21 || fe || 475.47 || 21/16, 675/512, 320/243 || [[xenharmonic/Vulture|Vulture]]/[[xenharmonic/Buzzard|Buzzard]] || | || 21 || fe || 475.47 || 21/16, 675/512, 320/243 ||= v4 ||= Gv || [[xenharmonic/Vulture|Vulture]]/[[xenharmonic/Buzzard|Buzzard]] || | ||
|| 22 || fa || 498.11 || 4/3 || || | || 22 || fa || 498.11 || 4/3 ||= P4 ||= G || || | ||
|| 23 || fih || 520.75 || 27/20 || || | || 23 || fih || 520.75 || 27/20 ||= ^4 ||= G^ || || | ||
|| 24 || fu || 543.40 || 11/8, 15/11 || || | || 24 || fu || 543.40 || 11/8, 15/11 ||= ^^4 ||= G^^ || || | ||
|| 25 || fuh || 566.04 || 18/13 || [ | || 25 || fuh || 566.04 || 18/13 ||= vvA4, vd5 ||= G#vv, Abv || [[xenharmonic/Tricot|Tricot]] || | ||
|| 26 || fi || 588.68 || 7/5, 45/32 || || | || 26 || fi || 588.68 || 7/5, 45/32 ||= vA4, d5 ||= G#v, Ab || || | ||
|| 27 || se || 611.32 || 10/7, 64/45 || || | || 27 || se || 611.32 || 10/7, 64/45 ||= A4, ^d5 ||= G#, Ab^ || || | ||
|| 28 || suh || 633.96 || 13/9 || || | || 28 || suh || 633.96 || 13/9 ||= ^A4, ^^d5 ||= G#^, Ab^^ || || | ||
|| 29 || su || 656.60 || 16/11, 22/15 || || | || 29 || su || 656.60 || 16/11, 22/15 ||= vv5 ||= Avv || || | ||
|| 30 || sih || 679.25 || 40/27 || || | || 30 || sih || 679.25 || 40/27 ||= v5 ||= Av || || | ||
|| 31 || sol || 701.89 || 3/2 || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]] || | || 31 || sol || 701.89 || 3/2 ||= P5 ||= A || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]] || | ||
|| 32 || si || 724.53 || 32/21, 243/160, 1024/675 || || | || 32 || si || 724.53 || 32/21, 243/160, 1024/675 ||= ^5 ||= A^ || || | ||
|| 33 || saw || 747.17 || 20/13, 192/125 || || | || 33 || saw || 747.17 || 20/13, 192/125 ||= ^^5, vvm6 ||= A^^, Bbvv || || | ||
|| 34 || lo || 769.81 || 14/9, 25/16, 11/7 || || | || 34 || lo || 769.81 || 14/9, 25/16, 11/7 ||= vm6 ||= Bbv || || | ||
|| 35 || leh || 792.45 || 128/81 || | || 35 || leh || 792.45 || 128/81 ||= m6 ||= Bb || || | ||
|| 36 || le || 815.09 || 8/5 || || | || 36 || le || 815.09 || 8/5 ||= ^m6 ||= Bb^ || || | ||
|| 37 || lu || 837.74 || 13/8, 81/50 || || | || 37 || lu || 837.74 || 13/8, 81/50 ||= ^^m6 ||= Bb^^ || || | ||
|| 38 || luh || 860.38 || 18/11, 400/243 || || | || 38 || luh || 860.38 || 18/11, 400/243 ||= vvM6 ||= Bvv || || | ||
|| 39 || la || 883.02 || 5/3 || || | || 39 || la || 883.02 || 5/3 ||= vM6 ||= Bv || || | ||
|| 40 || laa || 905.66 || 22/13, 27/16 || || | || 40 || laa || 905.66 || 22/13, 27/16 ||= M6 ||= B || || | ||
|| 41 || lo || 928.30 || 12/7 || | || 41 || lo || 928.30 || 12/7 ||= ^M6 ||= B^ || || | ||
|| 42 || law || 950.94 || 26/15, 125/72 || || | || 42 || law || 950.94 || 26/15, 125/72 ||= ^^M6, vvm7 ||= B^^, Cvv || || | ||
|| 43 || ta || 973.58 || 7/4 || || | || 43 || ta || 973.58 || 7/4 ||= vm7 ||= Cv || || | ||
|| 44 || teh || 996.23 || 16/9 || || | || 44 || teh || 996.23 || 16/9 ||= m7 ||= C || || | ||
|| 45 || te || 1018.87 || 9/5 || || | || 45 || te || 1018.87 || 9/5 ||= ^m7 ||= C^ || || | ||
|| 46 || tu || 1041.51 || 11/6, 20/11, 729/400 || | || 46 || tu || 1041.51 || 11/6, 20/11, 729/400 ||= ^^m7 ||= C^^ || || | ||
|| 47 || tuh || 1064.15 || 13/7, 24/13, 50/27 || || | || 47 || tuh || 1064.15 || 13/7, 24/13, 50/27 ||= vvM7 ||= C#vv || || | ||
|| 48 || ti || 1086.79 || 15/8 || || | || 48 || ti || 1086.79 || 15/8 ||= vM7 ||= C#v || || | ||
|| 49 || tih || 1109.43 || 40/21, 243/128 || || | || 49 || tih || 1109.43 || 40/21, 243/128 ||= M7 ||= C# || || | ||
|| 50 || to || 1132.08 || 48/25, 27/14 || || | || 50 || to || 1132.08 || 48/25, 27/14 ||= ^M7 ||= C#^ || || | ||
|| 51 || taw || 1154.72 || 125/64 || || | || 51 || taw || 1154.72 || 125/64 ||= ^^M7, vv8 ||= C#^^, Dvv || || | ||
|| 52 || da || 1177.36 || 160/81 || || | || 52 || da || 1177.36 || 160/81 ||= v8 ||= Dv || || | ||
|| 53 || do || 1200 || 2/1 ||= P8 ||= D || || | |||
| Line 103: | Line 105: | ||
<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>53edo</title></head><body><!-- ws:start:WikiTextTocRule:10:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><a href="#Theory">Theory</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | <a href="#Just Approximation">Just Approximation</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | <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>53edo</title></head><body><!-- ws:start:WikiTextTocRule:10:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:10 --><!-- ws:start:WikiTextTocRule:11: --><a href="#Theory">Theory</a><!-- ws:end:WikiTextTocRule:11 --><!-- ws:start:WikiTextTocRule:12: --> | <a href="#Linear temperaments">Linear temperaments</a><!-- ws:end:WikiTextTocRule:12 --><!-- ws:start:WikiTextTocRule:13: --> | <a href="#Just Approximation">Just Approximation</a><!-- ws:end:WikiTextTocRule:13 --><!-- ws:start:WikiTextTocRule:14: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:14 --><!-- ws:start:WikiTextTocRule:15: --> | <a href="#Compositions">Compositions</a><!-- ws:end:WikiTextTocRule:15 --><!-- ws:start:WikiTextTocRule:16: --> | ||
<!-- ws:end:WikiTextTocRule:16 --><span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/53edo">Deutsch</a></span><br /> | <!-- ws:end:WikiTextTocRule:16 --><span style="display: block; text-align: right;">Other languages: <a class="wiki_link" href="http://xenharmonie.wikispaces.com/53edo">Deutsch</a><br /> | ||
</span><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:0 -->Theory</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:0 -->Theory</h1> | ||
| Line 124: | Line 127: | ||
<tr> | <tr> | ||
<th>interval<br /> | <th>interval<br /> | ||
</th> | |||
<th>ratio<br /> | |||
</th> | </th> | ||
<th>size<br /> | <th>size<br /> | ||
</th> | </th> | ||
<th> | <th>difference<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>perfect fifth<br /> | <td>perfect fifth<br /> | ||
</td> | |||
<td>3/2<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">31<br /> | <td style="text-align: center;">31<br /> | ||
| Line 140: | Line 147: | ||
<tr> | <tr> | ||
<td>major third<br /> | <td>major third<br /> | ||
</td> | |||
<td>5/4<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">17<br /> | <td style="text-align: center;">17<br /> | ||
| Line 148: | Line 157: | ||
<tr> | <tr> | ||
<td>minor third<br /> | <td>minor third<br /> | ||
</td> | |||
<td>6/5<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">14<br /> | <td style="text-align: center;">14<br /> | ||
| Line 156: | Line 167: | ||
<tr> | <tr> | ||
<td>major tone<br /> | <td>major tone<br /> | ||
</td> | |||
<td>9/8<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9<br /> | <td style="text-align: center;">9<br /> | ||
| Line 164: | Line 177: | ||
<tr> | <tr> | ||
<td>minor tone<br /> | <td>minor tone<br /> | ||
</td> | |||
<td>10/9<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8<br /> | <td style="text-align: center;">8<br /> | ||
| Line 172: | Line 187: | ||
<tr> | <tr> | ||
<td>diat. semitone<br /> | <td>diat. semitone<br /> | ||
</td> | |||
<td>16/15<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">5<br /> | <td style="text-align: center;">5<br /> | ||
| Line 190: | Line 207: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td> | <td>degree<br /> | ||
</td> | </td> | ||
<td>solfege<br /> | <td>solfege<br /> | ||
</td> | </td> | ||
<td>cents | <td>cents<br /> | ||
</td> | </td> | ||
<td>approximate ratios<br /> | <td>approximate ratios<br /> | ||
</td> | |||
<td colspan="2" style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and downs </a><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">notation</a><br /> | |||
</td> | </td> | ||
<td>generator for<br /> | <td>generator for<br /> | ||
| Line 209: | Line 228: | ||
</td> | </td> | ||
<td>1/1<br /> | <td>1/1<br /> | ||
</td> | |||
<td style="text-align: center;">P1<br /> | |||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 221: | Line 244: | ||
</td> | </td> | ||
<td>81/80, 64/63, 50/49<br /> | <td>81/80, 64/63, 50/49<br /> | ||
</td> | |||
<td style="text-align: center;">^1<br /> | |||
</td> | |||
<td style="text-align: center;">D^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 233: | Line 260: | ||
</td> | </td> | ||
<td>49/48, 36/35, 33/32, 128/125<br /> | <td>49/48, 36/35, 33/32, 128/125<br /> | ||
</td> | |||
<td style="text-align: center;">^^1, vvm2<br /> | |||
</td> | |||
<td style="text-align: center;">D^^, Ebvv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | ||
| Line 245: | Line 276: | ||
</td> | </td> | ||
<td>27/26, 26/25, 25/24, 22/21<br /> | <td>27/26, 26/25, 25/24, 22/21<br /> | ||
</td> | |||
<td style="text-align: center;">vm2<br /> | |||
</td> | |||
<td style="text-align: center;">Ebv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 257: | Line 292: | ||
</td> | </td> | ||
<td>21/20, 256/243<br /> | <td>21/20, 256/243<br /> | ||
</td> | |||
<td style="text-align: center;">m2<br /> | |||
</td> | |||
<td style="text-align: center;">Eb<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 269: | Line 308: | ||
</td> | </td> | ||
<td>16/15, 15/14<br /> | <td>16/15, 15/14<br /> | ||
</td> | |||
<td style="text-align: center;">^m2<br /> | |||
</td> | |||
<td style="text-align: center;">Eb^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 281: | Line 324: | ||
</td> | </td> | ||
<td>14/13, 13/12, 27/25<br /> | <td>14/13, 13/12, 27/25<br /> | ||
</td> | |||
<td style="text-align: center;">^^m2<br /> | |||
</td> | |||
<td style="text-align: center;">Eb^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</td> | </td> | ||
<td>12/11, 11/10, 800/729<br /> | <td>12/11, 11/10, 800/729<br /> | ||
</td> | |||
<td style="text-align: center;">vvM2<br /> | |||
</td> | |||
<td style="text-align: center;">Evv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemikleismic">Hemikleismic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemikleismic">Hemikleismic</a><br /> | ||
| Line 305: | Line 356: | ||
</td> | </td> | ||
<td>10/9<br /> | <td>10/9<br /> | ||
</td> | |||
<td style="text-align: center;">vM2<br /> | |||
</td> | |||
<td style="text-align: center;">Ev<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 317: | Line 372: | ||
</td> | </td> | ||
<td>9/8<br /> | <td>9/8<br /> | ||
</td> | |||
<td style="text-align: center;">M2<br /> | |||
</td> | |||
<td style="text-align: center;">E<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 329: | Line 388: | ||
</td> | </td> | ||
<td>8/7, 256/225<br /> | <td>8/7, 256/225<br /> | ||
</td> | |||
<td style="text-align: center;">^M2<br /> | |||
</td> | |||
<td style="text-align: center;">E^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 341: | Line 404: | ||
</td> | </td> | ||
<td>15/13, 144/125<br /> | <td>15/13, 144/125<br /> | ||
</td> | |||
<td style="text-align: center;">vvM2, vvm3<br /> | |||
</td> | |||
<td style="text-align: center;">E^^, vvF<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | ||
| Line 353: | Line 420: | ||
</td> | </td> | ||
<td>7/6, 75/64<br /> | <td>7/6, 75/64<br /> | ||
</td> | |||
<td style="text-align: center;">vm3<br /> | |||
</td> | |||
<td style="text-align: center;">vF<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Orwell">Orwell</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Orwell">Orwell</a><br /> | ||
| Line 365: | Line 436: | ||
</td> | </td> | ||
<td>13/11, 32/27<br /> | <td>13/11, 32/27<br /> | ||
</td> | |||
<td style="text-align: center;">m3<br /> | |||
</td> | |||
<td style="text-align: center;">F<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 377: | Line 452: | ||
</td> | </td> | ||
<td>6/5<br /> | <td>6/5<br /> | ||
</td> | |||
<td style="text-align: center;">^m3<br /> | |||
</td> | |||
<td style="text-align: center;">F^<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hanson">Hanson</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Catakleismic">Catakleismic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hanson">Hanson</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Catakleismic">Catakleismic</a><br /> | ||
| Line 389: | Line 468: | ||
</td> | </td> | ||
<td>11/9, 243/200<br /> | <td>11/9, 243/200<br /> | ||
</td> | |||
<td style="text-align: center;">^^m3<br /> | |||
</td> | |||
<td style="text-align: center;">F^^<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity">Amity</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hitchcock">Hitchcock</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity">Amity</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hitchcock">Hitchcock</a><br /> | ||
| Line 401: | Line 484: | ||
</td> | </td> | ||
<td>16/13, 100/81<br /> | <td>16/13, 100/81<br /> | ||
</td> | |||
<td style="text-align: center;">vvM3<br /> | |||
</td> | |||
<td style="text-align: center;">F#vv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 413: | Line 500: | ||
</td> | </td> | ||
<td>5/4<br /> | <td>5/4<br /> | ||
</td> | |||
<td style="text-align: center;">vM3<br /> | |||
</td> | |||
<td style="text-align: center;">F#v<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 425: | Line 516: | ||
</td> | </td> | ||
<td>81/64<br /> | <td>81/64<br /> | ||
</td> | |||
<td style="text-align: center;">M3<br /> | |||
</td> | |||
<td style="text-align: center;">F#<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 437: | Line 532: | ||
</td> | </td> | ||
<td>9/7, 14/11<br /> | <td>9/7, 14/11<br /> | ||
</td> | |||
<td style="text-align: center;">^M3<br /> | |||
</td> | |||
<td style="text-align: center;">F#^<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="/Hamity">Hamity</a><br /> | <td><a class="wiki_link" href="/Hamity">Hamity</a><br /> | ||
| Line 449: | Line 548: | ||
</td> | </td> | ||
<td>13/10, 125/96<br /> | <td>13/10, 125/96<br /> | ||
</td> | |||
<td style="text-align: center;">^^M3, vv4<br /> | |||
</td> | |||
<td style="text-align: center;">F#^^, Gvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 461: | Line 564: | ||
</td> | </td> | ||
<td>21/16, 675/512, 320/243<br /> | <td>21/16, 675/512, 320/243<br /> | ||
</td> | |||
<td style="text-align: center;">v4<br /> | |||
</td> | |||
<td style="text-align: center;">Gv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vulture">Vulture</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Buzzard">Buzzard</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Vulture">Vulture</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Buzzard">Buzzard</a><br /> | ||
| Line 473: | Line 580: | ||
</td> | </td> | ||
<td>4/3<br /> | <td>4/3<br /> | ||
</td> | |||
<td style="text-align: center;">P4<br /> | |||
</td> | |||
<td style="text-align: center;">G<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 485: | Line 596: | ||
</td> | </td> | ||
<td>27/20<br /> | <td>27/20<br /> | ||
</td> | |||
<td style="text-align: center;">^4<br /> | |||
</td> | |||
<td style="text-align: center;">G^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 497: | Line 612: | ||
</td> | </td> | ||
<td>11/8, 15/11<br /> | <td>11/8, 15/11<br /> | ||
</td> | |||
<td style="text-align: center;">^^4<br /> | |||
</td> | |||
<td style="text-align: center;">G^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 509: | Line 628: | ||
</td> | </td> | ||
<td>18/13<br /> | <td>18/13<br /> | ||
</td> | |||
<td style="text-align: center;">vvA4, vd5<br /> | |||
</td> | |||
<td style="text-align: center;">G#vv, Abv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | ||
| Line 521: | Line 644: | ||
</td> | </td> | ||
<td>7/5, 45/32<br /> | <td>7/5, 45/32<br /> | ||
</td> | |||
<td style="text-align: center;">vA4, d5<br /> | |||
</td> | |||
<td style="text-align: center;">G#v, Ab<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 533: | Line 660: | ||
</td> | </td> | ||
<td>10/7, 64/45<br /> | <td>10/7, 64/45<br /> | ||
</td> | |||
<td style="text-align: center;">A4, ^d5<br /> | |||
</td> | |||
<td style="text-align: center;">G#, Ab^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 545: | Line 676: | ||
</td> | </td> | ||
<td>13/9<br /> | <td>13/9<br /> | ||
</td> | |||
<td style="text-align: center;">^A4, ^^d5<br /> | |||
</td> | |||
<td style="text-align: center;">G#^, Ab^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 557: | Line 692: | ||
</td> | </td> | ||
<td>16/11, 22/15<br /> | <td>16/11, 22/15<br /> | ||
</td> | |||
<td style="text-align: center;">vv5<br /> | |||
</td> | |||
<td style="text-align: center;">Avv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 569: | Line 708: | ||
</td> | </td> | ||
<td>40/27<br /> | <td>40/27<br /> | ||
</td> | |||
<td style="text-align: center;">v5<br /> | |||
</td> | |||
<td style="text-align: center;">Av<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 581: | Line 724: | ||
</td> | </td> | ||
<td>3/2<br /> | <td>3/2<br /> | ||
</td> | |||
<td style="text-align: center;">P5<br /> | |||
</td> | |||
<td style="text-align: center;">A<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz">Helmholtz</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi">Garibaldi</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Helmholtz">Helmholtz</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Garibaldi">Garibaldi</a><br /> | ||
| Line 593: | Line 740: | ||
</td> | </td> | ||
<td>32/21, 243/160, 1024/675<br /> | <td>32/21, 243/160, 1024/675<br /> | ||
</td> | |||
<td style="text-align: center;">^5<br /> | |||
</td> | |||
<td style="text-align: center;">A^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 605: | Line 756: | ||
</td> | </td> | ||
<td>20/13, 192/125<br /> | <td>20/13, 192/125<br /> | ||
</td> | |||
<td style="text-align: center;">^^5, vvm6<br /> | |||
</td> | |||
<td style="text-align: center;">A^^, Bbvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 617: | Line 772: | ||
</td> | </td> | ||
<td>14/9, 25/16, 11/7<br /> | <td>14/9, 25/16, 11/7<br /> | ||
</td> | |||
<td style="text-align: center;">vm6<br /> | |||
</td> | |||
<td style="text-align: center;">Bbv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 629: | Line 788: | ||
</td> | </td> | ||
<td>128/81<br /> | <td>128/81<br /> | ||
</td> | |||
<td style="text-align: center;">m6<br /> | |||
</td> | |||
<td style="text-align: center;">Bb<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 641: | Line 804: | ||
</td> | </td> | ||
<td>8/5<br /> | <td>8/5<br /> | ||
</td> | |||
<td style="text-align: center;">^m6<br /> | |||
</td> | |||
<td style="text-align: center;">Bb^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 653: | Line 820: | ||
</td> | </td> | ||
<td>13/8, 81/50<br /> | <td>13/8, 81/50<br /> | ||
</td> | |||
<td style="text-align: center;">^^m6<br /> | |||
</td> | |||
<td style="text-align: center;">Bb^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 665: | Line 836: | ||
</td> | </td> | ||
<td>18/11, 400/243<br /> | <td>18/11, 400/243<br /> | ||
</td> | |||
<td style="text-align: center;">vvM6<br /> | |||
</td> | |||
<td style="text-align: center;">Bvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 677: | Line 852: | ||
</td> | </td> | ||
<td>5/3<br /> | <td>5/3<br /> | ||
</td> | |||
<td style="text-align: center;">vM6<br /> | |||
</td> | |||
<td style="text-align: center;">Bv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 689: | Line 868: | ||
</td> | </td> | ||
<td>22/13, 27/16<br /> | <td>22/13, 27/16<br /> | ||
</td> | |||
<td style="text-align: center;">M6<br /> | |||
</td> | |||
<td style="text-align: center;">B<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 701: | Line 884: | ||
</td> | </td> | ||
<td>12/7<br /> | <td>12/7<br /> | ||
</td> | |||
<td style="text-align: center;">^M6<br /> | |||
</td> | |||
<td style="text-align: center;">B^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 713: | Line 900: | ||
</td> | </td> | ||
<td>26/15, 125/72<br /> | <td>26/15, 125/72<br /> | ||
</td> | |||
<td style="text-align: center;">^^M6, vvm7<br /> | |||
</td> | |||
<td style="text-align: center;">B^^, Cvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 725: | Line 916: | ||
</td> | </td> | ||
<td>7/4<br /> | <td>7/4<br /> | ||
</td> | |||
<td style="text-align: center;">vm7<br /> | |||
</td> | |||
<td style="text-align: center;">Cv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 737: | Line 932: | ||
</td> | </td> | ||
<td>16/9<br /> | <td>16/9<br /> | ||
</td> | |||
<td style="text-align: center;">m7<br /> | |||
</td> | |||
<td style="text-align: center;">C<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 749: | Line 948: | ||
</td> | </td> | ||
<td>9/5<br /> | <td>9/5<br /> | ||
</td> | |||
<td style="text-align: center;">^m7<br /> | |||
</td> | |||
<td style="text-align: center;">C^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 761: | Line 964: | ||
</td> | </td> | ||
<td>11/6, 20/11, 729/400<br /> | <td>11/6, 20/11, 729/400<br /> | ||
</td> | |||
<td style="text-align: center;">^^m7<br /> | |||
</td> | |||
<td style="text-align: center;">C^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 773: | Line 980: | ||
</td> | </td> | ||
<td>13/7, 24/13, 50/27<br /> | <td>13/7, 24/13, 50/27<br /> | ||
</td> | |||
<td style="text-align: center;">vvM7<br /> | |||
</td> | |||
<td style="text-align: center;">C#vv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 785: | Line 996: | ||
</td> | </td> | ||
<td>15/8<br /> | <td>15/8<br /> | ||
</td> | |||
<td style="text-align: center;">vM7<br /> | |||
</td> | |||
<td style="text-align: center;">C#v<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 797: | Line 1,012: | ||
</td> | </td> | ||
<td>40/21, 243/128<br /> | <td>40/21, 243/128<br /> | ||
</td> | |||
<td style="text-align: center;">M7<br /> | |||
</td> | |||
<td style="text-align: center;">C#<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 809: | Line 1,028: | ||
</td> | </td> | ||
<td>48/25, 27/14<br /> | <td>48/25, 27/14<br /> | ||
</td> | |||
<td style="text-align: center;">^M7<br /> | |||
</td> | |||
<td style="text-align: center;">C#^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 821: | Line 1,044: | ||
</td> | </td> | ||
<td>125/64<br /> | <td>125/64<br /> | ||
</td> | |||
<td style="text-align: center;">^^M7, vv8<br /> | |||
</td> | |||
<td style="text-align: center;">C#^^, Dvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 833: | Line 1,060: | ||
</td> | </td> | ||
<td>160/81<br /> | <td>160/81<br /> | ||
</td> | |||
<td style="text-align: center;">v8<br /> | |||
</td> | |||
<td style="text-align: center;">Dv<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>53<br /> | |||
</td> | |||
<td>do<br /> | |||
</td> | |||
<td>1200<br /> | |||
</td> | |||
<td>2/1<br /> | |||
</td> | |||
<td style="text-align: center;">P8<br /> | |||
</td> | |||
<td style="text-align: center;">D<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||