19edo modes: Difference between revisions

Revision as of 20:00, 25 January 2014

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Original Wikitext content:

Some scales and modes available in [[19edo]]. Please add more, discovered or newly-composed!

=Note names in 19edo= 

The charts below primarily use the following note names:
|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 || 17 || 18 ||
|| C || C# || Db || D || D# || Eb || E || E# || F || F# || Gb || G || G# || Ab || A || A# || Bb || B || B# ||
(Other systems are of course possible, and may be preferred depending on the scales you are working with!)

=Miscellaneous scales= 

2314144 - E# F# G# Ab B Cb D - Cartunes
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation

=MOS scales and modes of rank-2 temperaments= 

==[[negri]]== 

**negri[9]** ([[1L 8s|1L+8s]] / [[Modal UDP Notation|chroma-positive generator]] = 17\19)
|| UDP || 19edo steps || comments ||
|| 8|0 || 322222222 ||   ||
|| 7|1 || 232222222 ||   ||
|| 6|2 || 223222222 ||   ||
|| 5|3 || 222322222 ||   ||
|| 4|4 || 222232222 || symmetrical, has both 4/3 and 3/2 ||
|| 3|5 || 222223222 ||   ||
|| 2|6 || 222222322 ||   ||
|| 1|7 || 222222232 ||   ||
|| 0|8 || 222222223 ||   ||

**negri[10]** ([[9L 1s|9L+1s]] / CPG = 2\19)
|| UDP || 19edo steps || comments ||
|| 9|0 || 2222222221 ||   ||
|| 8|1 || 2222222212 ||   ||
|| 7|2 || 2222222122 ||   ||
|| 6|3 || 2222221222 ||   ||
|| 5|4 || 2222212222 || has both 4/3 and 3/2 ||
|| 4|5 || 2222122222 || has both 4/3 and 3/2 ||
|| 3|6 || 2221222222 ||   ||
|| 2|7 || 2212222222 ||   ||
|| 1|8 || 2122222222 ||   ||
|| 0|9 || 1222222222 ||   ||


==[[deutone]]== 
(3\19; 9/8~10/9)
**[6]** 333334
**[7]** 3333331
**[13]** 2121212121211

==[[Semaphore and Godzilla|godzilla/semaphore]]== 

**[5]** ([[4L 1s|4L+1s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 4\19 ~= 8/7 ~= 7/6)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
|| 4|0 || 4 4 4 4 3 || 0 4 8 12 16 || C D# F G# Bb ||
|| 3|1 || 4 4 4 3 4 || 0 4 8 12 15 || C D# F G# A# ||
|| 2|2 || 4 4 3 4 4 || 0 4 8 11 15 || C D# F G A# ||
|| 1|3 || 4 3 4 4 4 || 0 4 7 11 15 || C D# E# G A# ||
|| 0|4 || 3 4 4 4 4 || 0 3 7 11 15 || C D E# G A# ||

**[9]** ([[5L 4s|5L+4s ]]/ CPG = 15\19 ~= 7/4 ~= 12/7)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
|| 8|0 || 3 3 1 3 1 3 1 3 1 || 0 3 6 7 10 11 14 15 18 || C D E E# Gb G A A# B# ||
|| 7|1 || 3 1 3 3 1 3 1 3 1 || 0 3 4 7 10 11 14 15 18 || C D D# E# Gb G A A# B# ||
|| 6|2 || 3 1 3 1 3 3 1 3 1 || 0 3 4 7 8 11 14 15 18 || C D D# E# F G A A# B# ||
|| 5|3 || 3 1 3 1 3 1 3 3 1 || 0 3 4 7 8 11 12 15 18 || C D D# E# F G G# A# B# ||
|| 4|4 || 3 1 3 1 3 1 3 1 3 || 0 3 4 7 8 11 12 15 16 || C D D# E# F G G# A# Bb ||
|| 3|5 || 1 3 3 1 3 1 3 1 3 || 0 1 4 7 8 11 12 15 16 || C C# D# E# F G G# A# Bb ||
|| 2|6 || 1 3 1 3 3 1 3 1 3 || 0 1 4 5 8 11 12 15 16 || C C# D# Eb F G G# A# Bb ||
|| 1|7 || 1 3 1 3 1 3 3 1 3 || 0 1 4 5 8 9 12 15 16 || C C# D# Eb F F# G# A# Bb ||
|| 0|8 || 1 3 1 3 1 3 1 3 3 || 0 1 4 5 8 9 12 13 16 || C C# D# Eb F F# G# Ab Bb ||

**[14]** ([[5L 9s|5L+9s ]]/ CPG = 4\19 ~= 8/7 ~= 7/6)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
|| 13|0 || 1 1 2 1 1 2 1 1 2 1 1 2 1 2 || 0 1 2 4 5 6 8 9 10 12 13 14 16 17 || C C# Db D# Eb E F F# Gb G# Ab A Bb B ||
|| 12|1 || 1 1 2 1 1 2 1 1 2 1 2 1 1 2 || 0 1 2 4 5 6 8 9 10 12 13 15 16 17 || C C# Db D# Eb E F F# Gb G# Ab A# Bb B ||
|| 11|2 || 1 1 2 1 1 2 1 2 1 1 2 1 1 2 || 0 1 2 4 5 6 8 9 11 12 13 15 16 17 || C C# Db D# Eb E F F# G G# Ab A# Bb B ||
|| 10|3 || 1 1 2 1 2 1 1 2 1 1 2 1 1 2 || 0 1 2 4 5 7 8 9 11 12 13 15 16 17 || C C# Db D# Eb E# F F# G G# Ab A# Bb B ||
|| 9|4 || 1 2 1 1 2 1 1 2 1 1 2 1 1 2 || 0 1 3 4 5 7 8 9 11 12 13 15 16 17 || C C# D D# Eb E# F F# G G# Ab A# Bb B ||
|| 8|5 || 1 2 1 1 2 1 1 2 1 1 2 1 2 1 || 0 1 3 4 5 7 8 9 11 12 13 15 16 18 || C C# D D# Eb E# F F# G G# Ab A# Bb B# ||
|| 7|6 || 1 2 1 1 2 1 1 2 1 2 1 1 2 1 || 0 1 3 4 5 7 8 9 11 12 14 15 16 18 || C C# D D# Eb E# F F# G G# A A# Bb B# ||
|| 6|7 || 1 2 1 1 2 1 2 1 1 2 1 1 2 1 || 0 1 3 4 5 7 8 10 11 12 14 15 16 18 || C C# D D# Eb E# F Gb G G# A A# Bb B# ||
|| 5|8 || 1 2 1 2 1 1 2 1 1 2 1 1 2 1 || 0 1 3 4 6 7 8 10 11 12 14 15 16 18 || C C# D D# E E# F Gb G G# A A# Bb B# ||
|| 4|9 || 2 1 1 2 1 1 2 1 1 2 1 1 2 1 || 0 2 3 4 6 7 8 10 11 12 14 15 16 18 || C Db D D# E E# F Gb G G# A A# Bb B# ||
|| 3|10 || 2 1 1 2 1 1 2 1 1 2 1 2 1 1 || 0 2 3 4 6 7 8 10 11 12 14 15 17 18 || C Db D D# E E# F Gb G G# A A# B B# ||
|| 2|11 || 2 1 1 2 1 1 2 1 2 1 1 2 1 1 || 0 2 3 4 6 7 8 10 11 13 14 15 17 18 || C Db D D# E E# F Gb G Ab A A# B B# ||
|| 1|12 || 2 1 1 2 1 2 1 1 2 1 1 2 1 1 || 0 2 3 4 6 7 9 10 11 13 14 15 17 18 || C Db D D# E E# F# Gb G Ab A A# B B# ||
|| 0|13 || 2 1 2 1 1 2 1 1 2 1 1 2 1 1 || 0 2 3 5 6 7 9 10 11 13 14 15 17 18 || C Db D Eb E E# F# Gb G Ab A A# B B# ||

==[[Kleismic family|kleismic/hanson/etc]]== 

**[7]** ([[xenharmonic/4L 3s|4L+3s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 14\19 ~= 5/3)
|| UDP || 19edo steps || comments ||
|| 6|0 || 4414141 || has 4/3 ||
|| 5|1 || 4144141 ||   ||
|| 4|2 || 4141441 ||   ||
|| 3|3 || 4141414 || symmetrical ||
|| 2|4 || 1441414 ||   ||
|| 1|5 || 1414414 ||   ||
|| 0|6 || 1414144 || has 3/2 ||

**[11]** ([[xenharmonic/4L 7s|4L+7s ]]/ CPG = 14\19 ~= 5/3)
|| UDP || 19edo steps || comments ||
|| 10|0 || 31311311311 ||   ||
|| 9|1 || 31131311311 ||   ||
|| 8|2 || 31131131311 ||   ||
|| 7|3 || 31131131131 ||   ||
|| 6|4 || 13131131131 ||   ||
|| 5|5 || 13113131131 || symmetrical, has neither 4/3 nor 3/2 ||
|| 4|6 || 13113113131 ||   ||
|| 3|7 || 13113113113 ||   ||
|| 2|8 || 11313113113 ||   ||
|| 1|9 || 11311313113 ||   ||
|| 0|10 || 11311311313 ||   ||

**[15]** ([[xenharmonic/4L 3s|4L+11s ]]/ CPG = 14\19 ~= 5/3)
121112111211121


==[[Magic|magic]]== 
(6\19; ~5/4)
**[7]** 5151511
**[10]** 4114114111
**[13]** 3111311131111
**[16]** 2111121111211111

==[[sensi]]== 

**sensi[5]** ([[3L 2s|3L+2s]] / [[Modal UDP Notation|chroma-positive generator]] = 12\19)
|| UDP || 19edo steps ||
|| 4|0 || 55252 ||
|| 3|1 || 52552 ||
|| 2|2 || 52525 ||
|| 1|3 || 25525 ||
|| 0|4 || 25255 ||

**sensi[8]** ([[3L 5s|3L+5s]] / CPG = 12\19)
|| UDP || 19edo steps ||
|| 7|0 || 32322322 ||
|| 6|1 || 32232322 ||
|| 5|2 || 32232232 ||
|| 4|3 || 23232232 ||
|| 3|4 || 23223232 ||
|| 2|5 || 23223223 ||
|| 1|6 || 22323223 ||
|| 0|7 || 22322323 ||

**sensi[11]** ([[8L 3s|8L+3s]] / CPG = 7\19)
|| UDP || 19edo steps ||
|| 10|0 || 22212221221 ||
|| 9|1 || 22212212221 ||
|| 8|2 || 22122212221 ||
|| 7|3 || 22122212212 ||
|| 6|4 || 22122122212 ||
|| 5|5 || 21222122212 ||
|| 4|6 || 21222122122 ||
|| 3|7 || 21221222122 ||
|| 2|8 || 12221222122 ||
|| 1|9 || 12221221222 ||
|| 0|10 || 12212221222 ||

==[[meantone]]== 

**meantone[5]** ([[2L 3s|2L+3s]] / [[Modal UDP Notation|chroma-positive generator]] = 8\19 ~= 4/3)
|| UDP || 19edo steps || notes || mode name ||
|| 4|0 || 53533 || C Eb F Ab Bb ||   ||
|| 3|1 || 53353 || C Eb F G Bb || minor pentatonic ||
|| 2|2 || 35353 || C D F G Bb ||   ||
|| 1|3 || 35335 || C D F G A ||   ||
|| 0|4 || 33535 || C D E G A || major pentatonic ||

**meantone[7]** ([[5L 2s|5L+2s]] / CPG = 11\19 ~= 3/2)
|| UDP || 19edo steps || notes || mode name ||
|| 6|0 || 3332332 || C D E F# G A B || Lydian ||
|| 5|1 || 3323332 || C D E F G A B || Ionian ||
|| 4|2 || 3323323 || C D E F G A Bb || Mixolydian ||
|| 3|3 || 3233323 || C D Eb F G A Bb || Dorian ||
|| 2|4 || 3233233 || C D Eb F G Ab Bb || Aeolian ||
|| 1|5 || 2333233 || C Db Eb F G Ab Bb || Phrygian ||
|| 0|6 || 2332333 || C Db Eb F Gb Ab Bb || Locrian ||

**meantone[12]** ([[7L 5s|7L+5s]] / CPG = 8\19 ~= 4/3)
|| UDP<span style="color: #ffffff;">...</span> || 19edo steps<span style="color: #ffffff;">......</span> || notes || mode name ||
|| 11|0 || 221212212121 || C Db D# Eb E# F Gb G# Ab A# Bb B# ||   ||
|| 10|1 || 221212122121 || C Db D# Eb E# F Gb G Ab A# Bb B# ||   ||
|| 9|2 || 212212122121 || C Db D Eb E# F Gb G Ab A# Bb B# ||   ||
|| 8|3 || 212212121221 || C Db D Eb E# F Gb G Ab A Bb B# ||   ||
|| 7|4 || 212122121221 || C Db D Eb E F Gb G Ab A Bb B# ||   ||
|| 6|5 || 212122121212 || C Db D Eb E F Gb G Ab A Bb B || Yasser's Supradiatonic ||
|| 5|6 || 212121221212 || C Db D Eb E F F# G Ab A Bb B ||   ||
|| 4|7 || 122121221212 || C C# D Eb E F F# G Ab A Bb B ||   ||
|| 3|8 || 122121212212 || C C# D Eb E F F# G G# A Bb B ||   ||
|| 2|9 || 121221212212 || C C# D D# E F F# G G# A Bb B ||   ||
|| 1|10 || 121221212122 || C C# D D# E F F# G G# A A# B ||   ||
|| 0|11 || 121212212122 || C C# D D# E E# F# G G# A A# B ||   ||
<span style="font-size: 90%;">Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different).</span>



==[[Meantone family#Liese|liese]]/[[Marvel temperaments#Triton|triton]]== 
(9\19; ~7/5)
**[11]** 51111511111
**[13]** 4111114111111
**[15]** 311111131111111
**[17]** 21111111211111111

[[media type="custom" key="24914738"]]

Original HTML content:

<html><head><title>19edo Modes</title></head><body>Some scales and modes available in <a class="wiki_link" href="/19edo">19edo</a>. Please add more, discovered or newly-composed!<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Note names in 19edo"></a><!-- ws:end:WikiTextHeadingRule:1 -->Note names in 19edo</h1>
 <br />
The charts below primarily use the following note names:<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
        <td>17<br />
</td>
        <td>18<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>C#<br />
</td>
        <td>Db<br />
</td>
        <td>D<br />
</td>
        <td>D#<br />
</td>
        <td>Eb<br />
</td>
        <td>E<br />
</td>
        <td>E#<br />
</td>
        <td>F<br />
</td>
        <td>F#<br />
</td>
        <td>Gb<br />
</td>
        <td>G<br />
</td>
        <td>G#<br />
</td>
        <td>Ab<br />
</td>
        <td>A<br />
</td>
        <td>A#<br />
</td>
        <td>Bb<br />
</td>
        <td>B<br />
</td>
        <td>B#<br />
</td>
    </tr>
</table>

(Other systems are of course possible, and may be preferred depending on the scales you are working with!)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Miscellaneous scales"></a><!-- ws:end:WikiTextHeadingRule:3 -->Miscellaneous scales</h1>
 <br />
2314144 - E# F# G# Ab B Cb D - Cartunes<br />
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation<br />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="MOS scales and modes of rank-2 temperaments"></a><!-- ws:end:WikiTextHeadingRule:5 -->MOS scales and modes of rank-2 temperaments</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="MOS scales and modes of rank-2 temperaments-negri"></a><!-- ws:end:WikiTextHeadingRule:7 --><a class="wiki_link" href="/negri">negri</a></h2>
 <br />
<strong>negri[9]</strong> (<a class="wiki_link" href="/1L%208s">1L+8s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 17\19)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>comments<br />
</td>
    </tr>
    <tr>
        <td>8|0<br />
</td>
        <td>322222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|1<br />
</td>
        <td>232222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|2<br />
</td>
        <td>223222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5|3<br />
</td>
        <td>222322222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4|4<br />
</td>
        <td>222232222<br />
</td>
        <td>symmetrical, has both 4/3 and 3/2<br />
</td>
    </tr>
    <tr>
        <td>3|5<br />
</td>
        <td>222223222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|6<br />
</td>
        <td>222222322<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|7<br />
</td>
        <td>222222232<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|8<br />
</td>
        <td>222222223<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>negri[10]</strong> (<a class="wiki_link" href="/9L%201s">9L+1s</a> / CPG = 2\19)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>comments<br />
</td>
    </tr>
    <tr>
        <td>9|0<br />
</td>
        <td>2222222221<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>8|1<br />
</td>
        <td>2222222212<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|2<br />
</td>
        <td>2222222122<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|3<br />
</td>
        <td>2222221222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5|4<br />
</td>
        <td>2222212222<br />
</td>
        <td>has both 4/3 and 3/2<br />
</td>
    </tr>
    <tr>
        <td>4|5<br />
</td>
        <td>2222122222<br />
</td>
        <td>has both 4/3 and 3/2<br />
</td>
    </tr>
    <tr>
        <td>3|6<br />
</td>
        <td>2221222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|7<br />
</td>
        <td>2212222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|8<br />
</td>
        <td>2122222222<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|9<br />
</td>
        <td>1222222222<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="MOS scales and modes of rank-2 temperaments-deutone"></a><!-- ws:end:WikiTextHeadingRule:9 --><a class="wiki_link" href="/deutone">deutone</a></h2>
 (3\19; 9/8~10/9)<br />
<strong>[6]</strong> 333334<br />
<strong>[7]</strong> 3333331<br />
<strong>[13]</strong> 2121212121211<br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="MOS scales and modes of rank-2 temperaments-godzilla/semaphore"></a><!-- ws:end:WikiTextHeadingRule:11 --><a class="wiki_link" href="/Semaphore%20and%20Godzilla">godzilla/semaphore</a></h2>
 <br />
<strong>[5]</strong> (<a class="wiki_link" href="/4L%201s">4L+1s </a>/ <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 4\19 ~= 8/7 ~= 7/6)<br />


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>mode steps<br />
</th>
        <th>mode degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>4|0<br />
</td>
        <td>4 4 4 4 3<br />
</td>
        <td>0 4 8 12 16<br />
</td>
        <td>C D# F G# Bb<br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>4 4 4 3 4<br />
</td>
        <td>0 4 8 12 15<br />
</td>
        <td>C D# F G# A#<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>4 4 3 4 4<br />
</td>
        <td>0 4 8 11 15<br />
</td>
        <td>C D# F G A#<br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>4 3 4 4 4<br />
</td>
        <td>0 4 7 11 15<br />
</td>
        <td>C D# E# G A#<br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>3 4 4 4 4<br />
</td>
        <td>0 3 7 11 15<br />
</td>
        <td>C D E# G A#<br />
</td>
    </tr>
</table>

<br />
<strong>[9]</strong> (<a class="wiki_link" href="/5L%204s">5L+4s </a>/ CPG = 15\19 ~= 7/4 ~= 12/7)<br />


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>mode steps<br />
</th>
        <th>mode degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>8|0<br />
</td>
        <td>3 3 1 3 1 3 1 3 1<br />
</td>
        <td>0 3 6 7 10 11 14 15 18<br />
</td>
        <td>C D E E# Gb G A A# B#<br />
</td>
    </tr>
    <tr>
        <td>7|1<br />
</td>
        <td>3 1 3 3 1 3 1 3 1<br />
</td>
        <td>0 3 4 7 10 11 14 15 18<br />
</td>
        <td>C D D# E# Gb G A A# B#<br />
</td>
    </tr>
    <tr>
        <td>6|2<br />
</td>
        <td>3 1 3 1 3 3 1 3 1<br />
</td>
        <td>0 3 4 7 8 11 14 15 18<br />
</td>
        <td>C D D# E# F G A A# B#<br />
</td>
    </tr>
    <tr>
        <td>5|3<br />
</td>
        <td>3 1 3 1 3 1 3 3 1<br />
</td>
        <td>0 3 4 7 8 11 12 15 18<br />
</td>
        <td>C D D# E# F G G# A# B#<br />
</td>
    </tr>
    <tr>
        <td>4|4<br />
</td>
        <td>3 1 3 1 3 1 3 1 3<br />
</td>
        <td>0 3 4 7 8 11 12 15 16<br />
</td>
        <td>C D D# E# F G G# A# Bb<br />
</td>
    </tr>
    <tr>
        <td>3|5<br />
</td>
        <td>1 3 3 1 3 1 3 1 3<br />
</td>
        <td>0 1 4 7 8 11 12 15 16<br />
</td>
        <td>C C# D# E# F G G# A# Bb<br />
</td>
    </tr>
    <tr>
        <td>2|6<br />
</td>
        <td>1 3 1 3 3 1 3 1 3<br />
</td>
        <td>0 1 4 5 8 11 12 15 16<br />
</td>
        <td>C C# D# Eb F G G# A# Bb<br />
</td>
    </tr>
    <tr>
        <td>1|7<br />
</td>
        <td>1 3 1 3 1 3 3 1 3<br />
</td>
        <td>0 1 4 5 8 9 12 15 16<br />
</td>
        <td>C C# D# Eb F F# G# A# Bb<br />
</td>
    </tr>
    <tr>
        <td>0|8<br />
</td>
        <td>1 3 1 3 1 3 1 3 3<br />
</td>
        <td>0 1 4 5 8 9 12 13 16<br />
</td>
        <td>C C# D# Eb F F# G# Ab Bb<br />
</td>
    </tr>
</table>

<br />
<strong>[14]</strong> (<a class="wiki_link" href="/5L%209s">5L+9s </a>/ CPG = 4\19 ~= 8/7 ~= 7/6)<br />


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>mode steps<br />
</th>
        <th>mode degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>13|0<br />
</td>
        <td>1 1 2 1 1 2 1 1 2 1 1 2 1 2<br />
</td>
        <td>0 1 2 4 5 6 8 9 10 12 13 14 16 17<br />
</td>
        <td>C C# Db D# Eb E F F# Gb G# Ab A Bb B<br />
</td>
    </tr>
    <tr>
        <td>12|1<br />
</td>
        <td>1 1 2 1 1 2 1 1 2 1 2 1 1 2<br />
</td>
        <td>0 1 2 4 5 6 8 9 10 12 13 15 16 17<br />
</td>
        <td>C C# Db D# Eb E F F# Gb G# Ab A# Bb B<br />
</td>
    </tr>
    <tr>
        <td>11|2<br />
</td>
        <td>1 1 2 1 1 2 1 2 1 1 2 1 1 2<br />
</td>
        <td>0 1 2 4 5 6 8 9 11 12 13 15 16 17<br />
</td>
        <td>C C# Db D# Eb E F F# G G# Ab A# Bb B<br />
</td>
    </tr>
    <tr>
        <td>10|3<br />
</td>
        <td>1 1 2 1 2 1 1 2 1 1 2 1 1 2<br />
</td>
        <td>0 1 2 4 5 7 8 9 11 12 13 15 16 17<br />
</td>
        <td>C C# Db D# Eb E# F F# G G# Ab A# Bb B<br />
</td>
    </tr>
    <tr>
        <td>9|4<br />
</td>
        <td>1 2 1 1 2 1 1 2 1 1 2 1 1 2<br />
</td>
        <td>0 1 3 4 5 7 8 9 11 12 13 15 16 17<br />
</td>
        <td>C C# D D# Eb E# F F# G G# Ab A# Bb B<br />
</td>
    </tr>
    <tr>
        <td>8|5<br />
</td>
        <td>1 2 1 1 2 1 1 2 1 1 2 1 2 1<br />
</td>
        <td>0 1 3 4 5 7 8 9 11 12 13 15 16 18<br />
</td>
        <td>C C# D D# Eb E# F F# G G# Ab A# Bb B#<br />
</td>
    </tr>
    <tr>
        <td>7|6<br />
</td>
        <td>1 2 1 1 2 1 1 2 1 2 1 1 2 1<br />
</td>
        <td>0 1 3 4 5 7 8 9 11 12 14 15 16 18<br />
</td>
        <td>C C# D D# Eb E# F F# G G# A A# Bb B#<br />
</td>
    </tr>
    <tr>
        <td>6|7<br />
</td>
        <td>1 2 1 1 2 1 2 1 1 2 1 1 2 1<br />
</td>
        <td>0 1 3 4 5 7 8 10 11 12 14 15 16 18<br />
</td>
        <td>C C# D D# Eb E# F Gb G G# A A# Bb B#<br />
</td>
    </tr>
    <tr>
        <td>5|8<br />
</td>
        <td>1 2 1 2 1 1 2 1 1 2 1 1 2 1<br />
</td>
        <td>0 1 3 4 6 7 8 10 11 12 14 15 16 18<br />
</td>
        <td>C C# D D# E E# F Gb G G# A A# Bb B#<br />
</td>
    </tr>
    <tr>
        <td>4|9<br />
</td>
        <td>2 1 1 2 1 1 2 1 1 2 1 1 2 1<br />
</td>
        <td>0 2 3 4 6 7 8 10 11 12 14 15 16 18<br />
</td>
        <td>C Db D D# E E# F Gb G G# A A# Bb B#<br />
</td>
    </tr>
    <tr>
        <td>3|10<br />
</td>
        <td>2 1 1 2 1 1 2 1 1 2 1 2 1 1<br />
</td>
        <td>0 2 3 4 6 7 8 10 11 12 14 15 17 18<br />
</td>
        <td>C Db D D# E E# F Gb G G# A A# B B#<br />
</td>
    </tr>
    <tr>
        <td>2|11<br />
</td>
        <td>2 1 1 2 1 1 2 1 2 1 1 2 1 1<br />
</td>
        <td>0 2 3 4 6 7 8 10 11 13 14 15 17 18<br />
</td>
        <td>C Db D D# E E# F Gb G Ab A A# B B#<br />
</td>
    </tr>
    <tr>
        <td>1|12<br />
</td>
        <td>2 1 1 2 1 2 1 1 2 1 1 2 1 1<br />
</td>
        <td>0 2 3 4 6 7 9 10 11 13 14 15 17 18<br />
</td>
        <td>C Db D D# E E# F# Gb G Ab A A# B B#<br />
</td>
    </tr>
    <tr>
        <td>0|13<br />
</td>
        <td>2 1 2 1 1 2 1 1 2 1 1 2 1 1<br />
</td>
        <td>0 2 3 5 6 7 9 10 11 13 14 15 17 18<br />
</td>
        <td>C Db D Eb E E# F# Gb G Ab A A# B B#<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-kleismic/hanson/etc"></a><!-- ws:end:WikiTextHeadingRule:13 --><a class="wiki_link" href="/Kleismic%20family">kleismic/hanson/etc</a></h2>
 <br />
<strong>[7]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+3s </a>/ <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 14\19 ~= 5/3)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>comments<br />
</td>
    </tr>
    <tr>
        <td>6|0<br />
</td>
        <td>4414141<br />
</td>
        <td>has 4/3<br />
</td>
    </tr>
    <tr>
        <td>5|1<br />
</td>
        <td>4144141<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4|2<br />
</td>
        <td>4141441<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|3<br />
</td>
        <td>4141414<br />
</td>
        <td>symmetrical<br />
</td>
    </tr>
    <tr>
        <td>2|4<br />
</td>
        <td>1441414<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|5<br />
</td>
        <td>1414414<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|6<br />
</td>
        <td>1414144<br />
</td>
        <td>has 3/2<br />
</td>
    </tr>
</table>

<br />
<strong>[11]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%207s">4L+7s </a>/ CPG = 14\19 ~= 5/3)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>comments<br />
</td>
    </tr>
    <tr>
        <td>10|0<br />
</td>
        <td>31311311311<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>9|1<br />
</td>
        <td>31131311311<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>8|2<br />
</td>
        <td>31131131311<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|3<br />
</td>
        <td>31131131131<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|4<br />
</td>
        <td>13131131131<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5|5<br />
</td>
        <td>13113131131<br />
</td>
        <td>symmetrical, has neither 4/3 nor 3/2<br />
</td>
    </tr>
    <tr>
        <td>4|6<br />
</td>
        <td>13113113131<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|7<br />
</td>
        <td>13113113113<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|8<br />
</td>
        <td>11313113113<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|9<br />
</td>
        <td>11311313113<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|10<br />
</td>
        <td>11311311313<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>[15]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+11s </a>/ CPG = 14\19 ~= 5/3)<br />
121112111211121<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:15:&lt;h2&gt; --><h2 id="toc7"><a name="MOS scales and modes of rank-2 temperaments-magic"></a><!-- ws:end:WikiTextHeadingRule:15 --><a class="wiki_link" href="/Magic">magic</a></h2>
 (6\19; ~5/4)<br />
<strong>[7]</strong> 5151511<br />
<strong>[10]</strong> 4114114111<br />
<strong>[13]</strong> 3111311131111<br />
<strong>[16]</strong> 2111121111211111<br />
<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-sensi"></a><!-- ws:end:WikiTextHeadingRule:17 --><a class="wiki_link" href="/sensi">sensi</a></h2>
 <br />
<strong>sensi[5]</strong> (<a class="wiki_link" href="/3L%202s">3L+2s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 12\19)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
    </tr>
    <tr>
        <td>4|0<br />
</td>
        <td>55252<br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>52552<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>52525<br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>25525<br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>25255<br />
</td>
    </tr>
</table>

<br />
<strong>sensi[8]</strong> (<a class="wiki_link" href="/3L%205s">3L+5s</a> / CPG = 12\19)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
    </tr>
    <tr>
        <td>7|0<br />
</td>
        <td>32322322<br />
</td>
    </tr>
    <tr>
        <td>6|1<br />
</td>
        <td>32232322<br />
</td>
    </tr>
    <tr>
        <td>5|2<br />
</td>
        <td>32232232<br />
</td>
    </tr>
    <tr>
        <td>4|3<br />
</td>
        <td>23232232<br />
</td>
    </tr>
    <tr>
        <td>3|4<br />
</td>
        <td>23223232<br />
</td>
    </tr>
    <tr>
        <td>2|5<br />
</td>
        <td>23223223<br />
</td>
    </tr>
    <tr>
        <td>1|6<br />
</td>
        <td>22323223<br />
</td>
    </tr>
    <tr>
        <td>0|7<br />
</td>
        <td>22322323<br />
</td>
    </tr>
</table>

<br />
<strong>sensi[11]</strong> (<a class="wiki_link" href="/8L%203s">8L+3s</a> / CPG = 7\19)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
    </tr>
    <tr>
        <td>10|0<br />
</td>
        <td>22212221221<br />
</td>
    </tr>
    <tr>
        <td>9|1<br />
</td>
        <td>22212212221<br />
</td>
    </tr>
    <tr>
        <td>8|2<br />
</td>
        <td>22122212221<br />
</td>
    </tr>
    <tr>
        <td>7|3<br />
</td>
        <td>22122212212<br />
</td>
    </tr>
    <tr>
        <td>6|4<br />
</td>
        <td>22122122212<br />
</td>
    </tr>
    <tr>
        <td>5|5<br />
</td>
        <td>21222122212<br />
</td>
    </tr>
    <tr>
        <td>4|6<br />
</td>
        <td>21222122122<br />
</td>
    </tr>
    <tr>
        <td>3|7<br />
</td>
        <td>21221222122<br />
</td>
    </tr>
    <tr>
        <td>2|8<br />
</td>
        <td>12221222122<br />
</td>
    </tr>
    <tr>
        <td>1|9<br />
</td>
        <td>12221221222<br />
</td>
    </tr>
    <tr>
        <td>0|10<br />
</td>
        <td>12212221222<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:19:&lt;h2&gt; --><h2 id="toc9"><a name="MOS scales and modes of rank-2 temperaments-meantone"></a><!-- ws:end:WikiTextHeadingRule:19 --><a class="wiki_link" href="/meantone">meantone</a></h2>
 <br />
<strong>meantone[5]</strong> (<a class="wiki_link" href="/2L%203s">2L+3s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 8\19 ~= 4/3)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>notes<br />
</td>
        <td>mode name<br />
</td>
    </tr>
    <tr>
        <td>4|0<br />
</td>
        <td>53533<br />
</td>
        <td>C Eb F Ab Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>53353<br />
</td>
        <td>C Eb F G Bb<br />
</td>
        <td>minor pentatonic<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>35353<br />
</td>
        <td>C D F G Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>35335<br />
</td>
        <td>C D F G A<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>33535<br />
</td>
        <td>C D E G A<br />
</td>
        <td>major pentatonic<br />
</td>
    </tr>
</table>

<br />
<strong>meantone[7]</strong> (<a class="wiki_link" href="/5L%202s">5L+2s</a> / CPG = 11\19 ~= 3/2)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<br />
</td>
        <td>19edo steps<br />
</td>
        <td>notes<br />
</td>
        <td>mode name<br />
</td>
    </tr>
    <tr>
        <td>6|0<br />
</td>
        <td>3332332<br />
</td>
        <td>C D E F# G A B<br />
</td>
        <td>Lydian<br />
</td>
    </tr>
    <tr>
        <td>5|1<br />
</td>
        <td>3323332<br />
</td>
        <td>C D E F G A B<br />
</td>
        <td>Ionian<br />
</td>
    </tr>
    <tr>
        <td>4|2<br />
</td>
        <td>3323323<br />
</td>
        <td>C D E F G A Bb<br />
</td>
        <td>Mixolydian<br />
</td>
    </tr>
    <tr>
        <td>3|3<br />
</td>
        <td>3233323<br />
</td>
        <td>C D Eb F G A Bb<br />
</td>
        <td>Dorian<br />
</td>
    </tr>
    <tr>
        <td>2|4<br />
</td>
        <td>3233233<br />
</td>
        <td>C D Eb F G Ab Bb<br />
</td>
        <td>Aeolian<br />
</td>
    </tr>
    <tr>
        <td>1|5<br />
</td>
        <td>2333233<br />
</td>
        <td>C Db Eb F G Ab Bb<br />
</td>
        <td>Phrygian<br />
</td>
    </tr>
    <tr>
        <td>0|6<br />
</td>
        <td>2332333<br />
</td>
        <td>C Db Eb F Gb Ab Bb<br />
</td>
        <td>Locrian<br />
</td>
    </tr>
</table>

<br />
<strong>meantone[12]</strong> (<a class="wiki_link" href="/7L%205s">7L+5s</a> / CPG = 8\19 ~= 4/3)<br />


<table class="wiki_table">
    <tr>
        <td>UDP<span style="color: #ffffff;">...</span><br />
</td>
        <td>19edo steps<span style="color: #ffffff;">......</span><br />
</td>
        <td>notes<br />
</td>
        <td>mode name<br />
</td>
    </tr>
    <tr>
        <td>11|0<br />
</td>
        <td>221212212121<br />
</td>
        <td>C Db D# Eb E# F Gb G# Ab A# Bb B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>10|1<br />
</td>
        <td>221212122121<br />
</td>
        <td>C Db D# Eb E# F Gb G Ab A# Bb B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>9|2<br />
</td>
        <td>212212122121<br />
</td>
        <td>C Db D Eb E# F Gb G Ab A# Bb B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>8|3<br />
</td>
        <td>212212121221<br />
</td>
        <td>C Db D Eb E# F Gb G Ab A Bb B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|4<br />
</td>
        <td>212122121221<br />
</td>
        <td>C Db D Eb E F Gb G Ab A Bb B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|5<br />
</td>
        <td>212122121212<br />
</td>
        <td>C Db D Eb E F Gb G Ab A Bb B<br />
</td>
        <td>Yasser's Supradiatonic<br />
</td>
    </tr>
    <tr>
        <td>5|6<br />
</td>
        <td>212121221212<br />
</td>
        <td>C Db D Eb E F F# G Ab A Bb B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4|7<br />
</td>
        <td>122121221212<br />
</td>
        <td>C C# D Eb E F F# G Ab A Bb B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|8<br />
</td>
        <td>122121212212<br />
</td>
        <td>C C# D Eb E F F# G G# A Bb B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|9<br />
</td>
        <td>121221212212<br />
</td>
        <td>C C# D D# E F F# G G# A Bb B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|10<br />
</td>
        <td>121221212122<br />
</td>
        <td>C C# D D# E F F# G G# A A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|11<br />
</td>
        <td>121212212122<br />
</td>
        <td>C C# D D# E E# F# G G# A A# B<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<span style="font-size: 90%;">Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different).</span><br />
<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:21:&lt;h2&gt; --><h2 id="toc10"><a name="MOS scales and modes of rank-2 temperaments-liese/triton"></a><!-- ws:end:WikiTextHeadingRule:21 --><a class="wiki_link" href="/Meantone%20family#Liese">liese</a>/<a class="wiki_link" href="/Marvel%20temperaments#Triton">triton</a></h2>
 (9\19; ~7/5)<br />
<strong>[11]</strong> 51111511111<br />
<strong>[13]</strong> 4111114111111<br />
<strong>[15]</strong> 311111131111111<br />
<strong>[17]</strong> 21111111211111111<br />
<br />
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19edo modes: Difference between revisions

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