19edo modes: Difference between revisions

Wikispaces>xenjacob
**Imported revision 484767302 - Original comment: **
Wikispaces>spt3125
**Imported revision 485260620 - Original comment: **
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:xenjacob|xenjacob]] and made on <tt>2014-01-23 09:49:22 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 20:00:10 UTC</tt>.<br>
: The original revision id was <tt>484767302</tt>.<br>
: The original revision id was <tt>485260620</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">Some scales and modes available in [[19edo]]. Please add more, discovered or newly-composed!
<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">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
2314144 - E# F# G# Ab B Cb D - Cartunes
Line 48: Line 57:


==[[Semaphore and Godzilla|godzilla/semaphore]]==  
==[[Semaphore and Godzilla|godzilla/semaphore]]==  
(4\19; 8/7~7/6)
 
**[5]** 44443
**[5]** ([[4L 1s|4L+1s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 4\19 ~= 8/7 ~= 7/6)
**[9]** 131313133
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
**[14]** 12112112112121
|| 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]]==  
==[[Kleismic family|kleismic/hanson/etc]]==  
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<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;19edo Modes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Some scales and modes available in &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;. Please add more, discovered or newly-composed!&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;19edo Modes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Some scales and modes available in &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;. Please add more, discovered or newly-composed!&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Note names in 19edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Note names in 19edo&lt;/h1&gt;
&lt;br /&gt;
The charts below primarily use the following note names:&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
(Other systems are of course possible, and may be preferred depending on the scales you are working with!)&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Miscellaneous scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Miscellaneous scales&lt;/h1&gt;
&lt;br /&gt;
2314144 - E# F# G# Ab B Cb D - Cartunes&lt;br /&gt;
2314144 - E# F# G# Ab B Cb D - Cartunes&lt;br /&gt;
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation&lt;br /&gt;
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;MOS scales and modes of rank-2 temperaments&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;MOS scales and modes of rank-2 temperaments&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-negri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;&lt;a class="wiki_link" href="/negri"&gt;negri&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-negri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;&lt;a class="wiki_link" href="/negri"&gt;negri&lt;/a&gt;&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;negri[9]&lt;/strong&gt; (&lt;a class="wiki_link" href="/1L%208s"&gt;1L+8s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 17\19)&lt;br /&gt;
&lt;strong&gt;negri[9]&lt;/strong&gt; (&lt;a class="wiki_link" href="/1L%208s"&gt;1L+8s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 17\19)&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;&lt;a class="wiki_link" href="/deutone"&gt;deutone&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;&lt;a class="wiki_link" href="/deutone"&gt;deutone&lt;/a&gt;&lt;/h2&gt;
  (3\19; 9/8~10/9)&lt;br /&gt;
  (3\19; 9/8~10/9)&lt;br /&gt;
&lt;strong&gt;[6]&lt;/strong&gt; 333334&lt;br /&gt;
&lt;strong&gt;[6]&lt;/strong&gt; 333334&lt;br /&gt;
Line 370: Line 504:
&lt;strong&gt;[13]&lt;/strong&gt; 2121212121211&lt;br /&gt;
&lt;strong&gt;[13]&lt;/strong&gt; 2121212121211&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-godzilla/semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;&lt;a class="wiki_link" href="/Semaphore%20and%20Godzilla"&gt;godzilla/semaphore&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-godzilla/semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;&lt;a class="wiki_link" href="/Semaphore%20and%20Godzilla"&gt;godzilla/semaphore&lt;/a&gt;&lt;/h2&gt;
  (4\19; 8/7~7/6)&lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;[5]&lt;/strong&gt; 44443&lt;br /&gt;
&lt;strong&gt;[5]&lt;/strong&gt; (&lt;a class="wiki_link" href="/4L%201s"&gt;4L+1s &lt;/a&gt;/ &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 4\19 ~= 8/7 ~= 7/6)&lt;br /&gt;
&lt;strong&gt;[9]&lt;/strong&gt; 131313133&lt;br /&gt;
 
&lt;strong&gt;[14]&lt;/strong&gt; 12112112112121&lt;br /&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;UDP&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode degrees&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 4 4 4 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 8 12 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# F G# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 4 4 3 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 8 12 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# F G# A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 4 3 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 8 11 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# F G A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 3 4 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 7 11 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# E# G A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 4 4 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 7 11 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D E# G A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;[9]&lt;/strong&gt; (&lt;a class="wiki_link" href="/5L%204s"&gt;5L+4s &lt;/a&gt;/ CPG = 15\19 ~= 7/4 ~= 12/7)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;UDP&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode degrees&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 3 1 3 1 3 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 6 7 10 11 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D E E# Gb G A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 3 3 1 3 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 7 10 11 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# E# Gb G A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 3 1 3 3 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 7 8 11 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# E# F G A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 3 1 3 1 3 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 7 8 11 12 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# E# F G G# A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 3 1 3 1 3 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 7 8 11 12 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# E# F G G# A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 3 1 3 1 3 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 7 8 11 12 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# E# F G G# A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 3 3 1 3 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 8 11 12 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb F G G# A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 3 1 3 3 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 8 9 12 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb F F# G# A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 3 1 3 1 3 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 8 9 12 13 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb F F# G# Ab Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;[14]&lt;/strong&gt; (&lt;a class="wiki_link" href="/5L%209s"&gt;5L+9s &lt;/a&gt;/ CPG = 4\19 ~= 8/7 ~= 7/6)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;UDP&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;mode degrees&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 2 1 1 2 1 1 2 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 8 9 10 12 13 14 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E F F# Gb G# Ab A Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 2 1 1 2 1 2 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 8 9 10 12 13 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E F F# Gb G# Ab A# Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 2 1 2 1 1 2 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 8 9 11 12 13 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E F F# G G# Ab A# Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 2 1 1 2 1 1 2 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 7 8 9 11 12 13 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E# F F# G G# Ab A# Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 2 1 1 2 1 1 2 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 7 8 9 11 12 13 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E# F F# G G# Ab A# Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 2 1 1 2 1 1 2 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 7 8 9 11 12 13 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E# F F# G G# Ab A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 2 1 1 2 1 2 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 7 8 9 11 12 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E# F F# G G# A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 2 1 2 1 1 2 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 7 8 10 11 12 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E# F Gb G G# A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 2 1 1 2 1 1 2 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 6 7 8 10 11 12 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# E E# F Gb G G# A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 2 1 1 2 1 1 2 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 6 7 8 10 11 12 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# E E# F Gb G G# A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 2 1 1 2 1 1 2 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 6 7 8 10 11 12 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# E E# F Gb G G# A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 2 1 1 2 1 2 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 6 7 8 10 11 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# E E# F Gb G Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 2 1 2 1 1 2 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 6 7 9 10 11 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# E E# F# Gb G Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 2 1 1 2 1 1 2 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 5 6 7 9 10 11 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D Eb E E# F# Gb G Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-kleismic/hanson/etc"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;&lt;a class="wiki_link" href="/Kleismic%20family"&gt;kleismic/hanson/etc&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-kleismic/hanson/etc"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;&lt;a class="wiki_link" href="/Kleismic%20family"&gt;kleismic/hanson/etc&lt;/a&gt;&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;[7]&lt;/strong&gt; (&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s"&gt;4L+3s &lt;/a&gt;/ &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 14\19 ~= 5/3)&lt;br /&gt;
&lt;strong&gt;[7]&lt;/strong&gt; (&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s"&gt;4L+3s &lt;/a&gt;/ &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 14\19 ~= 5/3)&lt;br /&gt;
Line 556: Line 1,017:
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;&lt;a class="wiki_link" href="/Magic"&gt;magic&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;&lt;a class="wiki_link" href="/Magic"&gt;magic&lt;/a&gt;&lt;/h2&gt;
  (6\19; ~5/4)&lt;br /&gt;
  (6\19; ~5/4)&lt;br /&gt;
&lt;strong&gt;[7]&lt;/strong&gt; 5151511&lt;br /&gt;
&lt;strong&gt;[7]&lt;/strong&gt; 5151511&lt;br /&gt;
Line 563: Line 1,024:
&lt;strong&gt;[16]&lt;/strong&gt; 2111121111211111&lt;br /&gt;
&lt;strong&gt;[16]&lt;/strong&gt; 2111121111211111&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;&lt;a class="wiki_link" href="/sensi"&gt;sensi&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;&lt;a class="wiki_link" href="/sensi"&gt;sensi&lt;/a&gt;&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;sensi[5]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%202s"&gt;3L+2s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 12\19)&lt;br /&gt;
&lt;strong&gt;sensi[5]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%202s"&gt;3L+2s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 12\19)&lt;br /&gt;
Line 748: Line 1,209:


&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;&lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;&lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;strong&gt;meantone[5]&lt;/strong&gt; (&lt;a class="wiki_link" href="/2L%203s"&gt;2L+3s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 8\19 ~= 4/3)&lt;br /&gt;
&lt;strong&gt;meantone[5]&lt;/strong&gt; (&lt;a class="wiki_link" href="/2L%203s"&gt;2L+3s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 8\19 ~= 4/3)&lt;br /&gt;
Line 1,044: Line 1,505:
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-liese/triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;&lt;a class="wiki_link" href="/Meantone%20family#Liese"&gt;liese&lt;/a&gt;/&lt;a class="wiki_link" href="/Marvel%20temperaments#Triton"&gt;triton&lt;/a&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:21:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-liese/triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&gt;&lt;a class="wiki_link" href="/Meantone%20family#Liese"&gt;liese&lt;/a&gt;/&lt;a class="wiki_link" href="/Marvel%20temperaments#Triton"&gt;triton&lt;/a&gt;&lt;/h2&gt;
  (9\19; ~7/5)&lt;br /&gt;
  (9\19; ~7/5)&lt;br /&gt;
&lt;strong&gt;[11]&lt;/strong&gt; 51111511111&lt;br /&gt;
&lt;strong&gt;[11]&lt;/strong&gt; 51111511111&lt;br /&gt;