19edo modes: Difference between revisions

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**Imported revision 485261076 - Original comment: **
Wikispaces>spt3125
**Imported revision 485265308 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 20:05:05 UTC</tt>.<br>
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 21:07:38 UTC</tt>.<br>
: The original revision id was <tt>485261076</tt>.<br>
: The original revision id was <tt>485265308</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">=[[toc]]=
Some scales and modes available in [[19edo]]. Please add more, discovered or newly-composed!


=Note names in 19edo=  
=Note names in 19edo=  
The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):
||= 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# (Fb) ||= F ||= F# ||= Gb ||= G ||= G# ||= Ab ||= A ||= A# ||= Bb ||= B ||= B# (Cb) ||
Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in "standard" notation; for example; Fx=F##=Gb and Bbb=A#.
Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!


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=  
=Miscellaneous scales=  
Line 19: Line 22:
2314144 - E# F# G# Ab B Cb D - Cartunes
2314144 - E# F# G# Ab B Cb D - Cartunes
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation


=MOS scales and modes of rank-2 temperaments=  
=MOS scales and modes of rank-2 temperaments=  


==[[negri]]==  
==[[negri|Negri]]==  


**negri[9]** ([[1L 8s|1L+8s]] / [[Modal UDP Notation|chroma-positive generator]] = 17\19)
**negri[9]** ([[1L 8s|1L+8s]] / [[Modal UDP Notation|chroma-positive generator]] = 17\19)
|| UDP || 19edo steps || comments ||
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 8|0 || 322222222 ||  ||
|| 8|0 || 3 2 2 2 2 2 2 2 2 || 0 3 5 7 9 11 13 15 17 || C D Eb E# F# G Ab A# B ||  ||
|| 7|1 || 232222222 ||  ||
|| 7|1 || 2 3 2 2 2 2 2 2 2 || 0 2 5 7 9 11 13 15 17 || C Db Eb E# F# G Ab A# B ||  ||
|| 6|2 || 223222222 ||  ||
|| 6|2 || 2 2 3 2 2 2 2 2 2 || 0 2 4 7 9 11 13 15 17 || C Db D# E# F# G Ab A# B ||  ||
|| 5|3 || 222322222 ||  ||
|| 5|3 || 2 2 2 3 2 2 2 2 2 || 0 2 4 6 9 11 13 15 17 || C Db D# E F# G Ab A# B ||  ||
|| 4|4 || 222232222 || symmetrical, has both 4/3 and 3/2 ||
|| 4|4 || 2 2 2 2 3 2 2 2 2 || 0 2 4 6 8 11 13 15 17 || C Db D# E F G Ab A# B || symmetrical, has both 4/3 and 3/2 ||
|| 3|5 || 222223222 ||  ||
|| 3|5 || 2 2 2 2 2 3 2 2 2 || 0 2 4 6 8 10 13 15 17 || C Db D# E F Gb Ab A# B ||  ||
|| 2|6 || 222222322 ||  ||
|| 2|6 || 2 2 2 2 2 2 3 2 2 || 0 2 4 6 8 10 12 15 17 || C Db D# E F Gb G# A# B ||  ||
|| 1|7 || 222222232 ||  ||
|| 1|7 || 2 2 2 2 2 2 2 3 2 || 0 2 4 6 8 10 12 14 17 || C Db D# E F Gb G# A B ||  ||
|| 0|8 || 222222223 ||  ||
|| 0|8 || 2 2 2 2 2 2 2 2 3 || 0 2 4 6 8 10 12 14 16 || C Db D# E F Gb G# A Bb ||  ||
 


**negri[10]** ([[9L 1s|9L+1s]] / CPG = 2\19)
**negri[10]** ([[9L 1s|9L+1s]] / CPG = 2\19)
|| UDP || 19edo steps || comments ||
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 9|0 || 2222222221 ||   ||
|| 9|0 || 2 2 2 2 2 2 2 2 2 1 || 0 2 4 6 8 10 12 14 16 18 || C Db D# E F Gb G# A Bb B# ||
|| 8|1 || 2222222212 ||   ||
|| 8|1 || 2 2 2 2 2 2 2 2 1 2 || 0 2 4 6 8 10 12 14 16 17 || C Db D# E F Gb G# A Bb B ||
|| 7|2 || 2222222122 ||   ||
|| 7|2 || 2 2 2 2 2 2 2 1 2 2 || 0 2 4 6 8 10 12 14 15 17 || C Db D# E F Gb G# A A# B ||
|| 6|3 || 2222221222 ||   ||
|| 6|3 || 2 2 2 2 2 2 1 2 2 2 || 0 2 4 6 8 10 12 13 15 17 || C Db D# E F Gb G# Ab A# B ||
|| 5|4 || 2222212222 || has both 4/3 and 3/2 ||
|| 5|4 || 2 2 2 2 2 1 2 2 2 2 || 0 2 4 6 8 10 11 13 15 17 || C Db D# E F Gb G Ab A# B ||
|| 4|5 || 2222122222 || has both 4/3 and 3/2 ||
|| 4|5 || 2 2 2 2 1 2 2 2 2 2 || 0 2 4 6 8 9 11 13 15 17 || C Db D# E F F# G Ab A# B ||
|| 3|6 || 2221222222 ||   ||
|| 3|6 || 2 2 2 1 2 2 2 2 2 2 || 0 2 4 6 7 9 11 13 15 17 || C Db D# E E# F# G Ab A# B ||
|| 2|7 || 2212222222 ||   ||
|| 2|7 || 2 2 1 2 2 2 2 2 2 2 || 0 2 4 5 7 9 11 13 15 17 || C Db D# Eb E# F# G Ab A# B ||
|| 1|8 || 2122222222 ||   ||
|| 1|8 || 2 1 2 2 2 2 2 2 2 2 || 0 2 3 5 7 9 11 13 15 17 || C Db D Eb E# F# G Ab A# B ||
|| 0|9 || 1222222222 ||   ||
|| 0|9 || 1 2 2 2 2 2 2 2 2 2 || 0 1 3 5 7 9 11 13 15 17 || C C# D Eb E# F# G Ab A# B ||




==[[deutone]]==  
==[[deutone|Deutone]]==  
(3\19; 9/8~10/9)
(3\19; 9/8~10/9)
**[6]** 333334
**[6]** 333334
Line 56: Line 61:
**[13]** 2121212121211
**[13]** 2121212121211


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


**[5]** ([[4L 1s|4L+1s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 4\19 ~= 8/7 ~= 7/6)
**godzilla[5]** ([[4L 1s|4L+1s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 4\19 ~= 8/7 ~= 7/6)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
|| 4|0 || 4 4 4 4 3 || 0 4 8 12 16 || C D# F G# Bb ||
|| 4|0 || 4 4 4 4 3 || 0 4 8 12 16 || C D# F G# Bb ||
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|| 0|4 || 3 4 4 4 4 || 0 3 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)
**godzilla[9]** ([[5L 4s|5L+4s ]]/ CPG = 15\19 ~= 7/4 ~= 12/7)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
||~ 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# ||
|| 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# ||
Line 78: Line 83:
|| 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 ||
|| 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)
**godzilla[14]** ([[5L 9s|5L+9s ]]/ CPG = 4\19 ~= 8/7 ~= 7/6)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
||~ 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 ||
|| 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 ||
Line 95: Line 100:
|| 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# ||
|| 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]]==
 
**kleismic[7]** ([[xenharmonic/4L 3s|4L+3s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 14\19 ~= 5/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 6|0 || 4 4 1 4 1 4 1 || 0 4 8 9 13 14 18 || C D# F F# Ab A B# || has 4/3 ||
|| 5|1 || 4 1 4 4 1 4 1 || 0 4 5 9 13 14 18 || C D# Eb F# Ab A B# ||  ||
|| 4|2 || 4 1 4 1 4 4 1 || 0 4 5 9 10 14 18 || C D# Eb F# Gb A B# ||  ||
|| 3|3 || 4 1 4 1 4 1 4 || 0 4 5 9 10 14 15 || C D# Eb F# Gb A A# || symmetrical ||
|| 2|4 || 1 4 4 1 4 1 4 || 0 1 5 9 10 14 15 || C C# Eb F# Gb A A# ||  ||
|| 1|5 || 1 4 1 4 4 1 4 || 0 1 5 6 10 14 15 || C C# Eb E Gb A A# ||  ||
|| 0|6 || 1 4 1 4 1 4 4 || 0 1 5 6 10 11 15 || C C# Eb E Gb G A# || has 3/2 ||
 
**kleismic[11]** ([[xenharmonic/4L 7s|4L+7s ]]/ CPG = 14\19 ~= 5/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 10|0 || 3 1 3 1 1 3 1 1 3 1 1 || 0 3 4 7 8 9 12 13 14 17 18 || C D D# E# F F# G# Ab A B B# ||  ||
|| 9|1 || 3 1 1 3 1 3 1 1 3 1 1 || 0 3 4 5 8 9 12 13 14 17 18 || C D D# Eb F F# G# Ab A B B# ||  ||
|| 8|2 || 3 1 1 3 1 1 3 1 3 1 1 || 0 3 4 5 8 9 10 13 14 17 18 || C D D# Eb F F# Gb Ab A B B# ||  ||
|| 7|3 || 3 1 1 3 1 1 3 1 1 3 1 || 0 3 4 5 8 9 10 13 14 15 18 || C D D# Eb F F# Gb Ab A A# B# ||  ||
|| 6|4 || 1 3 1 3 1 1 3 1 1 3 1 || 0 1 4 5 8 9 10 13 14 15 18 || C C# D# Eb F F# Gb Ab A A# B# ||  ||
|| 5|5 || 1 3 1 1 3 1 3 1 1 3 1 || 0 1 4 5 6 9 10 13 14 15 18 || C C# D# Eb E F# Gb Ab A A# B# || symmetrical, has neither 4/3 nor 3/2 ||
|| 4|6 || 1 3 1 1 3 1 1 3 1 3 1 || 0 1 4 5 6 9 10 11 14 15 18 || C C# D# Eb E F# Gb G A A# B# ||  ||
|| 3|7 || 1 3 1 1 3 1 1 3 1 1 3 || 0 1 4 5 6 9 10 11 14 15 16 || C C# D# Eb E F# Gb G A A# Bb ||  ||
|| 2|8 || 1 1 3 1 3 1 1 3 1 1 3 || 0 1 2 5 6 9 10 11 14 15 16 || C C# Db Eb E F# Gb G A A# Bb ||  ||
|| 1|9 || 1 1 3 1 1 3 1 3 1 1 3 || 0 1 2 5 6 7 10 11 14 15 16 || C C# Db Eb E E# Gb G A A# Bb ||  ||
|| 0|10 || 1 1 3 1 1 3 1 1 3 1 3 || 0 1 2 5 6 7 10 11 12 15 16 || C C# Db Eb E E# Gb G G# A# Bb ||  ||
 
**kleismic[15]** ([[xenharmonic/4L 3s|4L+11s ]]/ CPG = 14\19 ~= 5/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 14|0 || 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1 || 0 2 3 4 6 7 8 9 11 12 13 14 16 17 18 || C Db D D# E E# F F# G G# Ab A Bb B B# ||
|| 13|1 || 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1 || 0 2 3 4 5 7 8 9 11 12 13 14 16 17 18 || C Db D D# Eb E# F F# G G# Ab A Bb B B# ||
|| 12|2 || 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1 || 0 2 3 4 5 7 8 9 10 12 13 14 16 17 18 || C Db D D# Eb E# F F# Gb G# Ab A Bb B B# ||
|| 11|3 || 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 || 0 2 3 4 5 7 8 9 10 12 13 14 15 17 18 || C Db D D# Eb E# F F# Gb G# Ab A A# B B# ||
|| 10|4 || 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1 || 0 1 3 4 5 7 8 9 10 12 13 14 15 17 18 || C C# D D# Eb E# F F# Gb G# Ab A A# B B# ||
|| 9|5 || 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1 || 0 1 3 4 5 6 8 9 10 12 13 14 15 17 18 || C C# D D# Eb E F F# Gb G# Ab A A# B B# ||
|| 8|6 || 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1 || 0 1 3 4 5 6 8 9 10 11 13 14 15 17 18 || C C# D D# Eb E F F# Gb G Ab A A# B B# ||
|| 7|7 || 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 || 0 1 3 4 5 6 8 9 10 11 13 14 15 16 18 || C C# D D# Eb E F F# Gb G Ab A A# Bb B# ||
|| 6|8 || 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1 || 0 1 2 4 5 6 8 9 10 11 13 14 15 16 18 || C C# Db D# Eb E F F# Gb G Ab A A# Bb B# ||
|| 5|9 || 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1 || 0 1 2 4 5 6 7 9 10 11 13 14 15 16 18 || C C# Db D# Eb E E# F# Gb G Ab A A# Bb B# ||
|| 4|10 || 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1 || 0 1 2 4 5 6 7 9 10 11 12 14 15 16 18 || C C# Db D# Eb E E# F# Gb G G# A A# Bb B# ||
|| 3|11 || 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 || 0 1 2 4 5 6 7 9 10 11 12 14 15 16 17 || C C# Db D# Eb E E# F# Gb G G# A A# Bb B ||
|| 2|12 || 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2 || 0 1 2 3 5 6 7 9 10 11 12 14 15 16 17 || C C# Db D Eb E E# F# Gb G G# A A# Bb B ||
|| 1|13 || 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2 || 0 1 2 3 5 6 7 8 10 11 12 14 15 16 17 || C C# Db D Eb E E# F Gb G G# A A# Bb B ||
|| 0|14 || 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 || 0 1 2 3 5 6 7 8 10 11 12 13 15 16 17 || C C# Db D Eb E E# F Gb G G# Ab A# Bb B ||
 


**[7]** ([[xenharmonic/4L 3s|4L+3s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 14\19 ~= 5/3)
==[[Magic]]==  
|| 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)
**magic[7]** ([[3L 4s|3L+4s]] / [[Modal UDP Notation|chroma-positive generator]] = 6\19 ~=5/4)
|| UDP || 19edo steps || comments ||
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 10|0 || 31311311311 ||  ||
|| 6|0 || 5 1 5 1 5 1 1 || 0 5 6 11 12 17 18 || C Eb E G G# B B# ||
|| 9|1 || 31131311311 ||   ||
|| 5|1 || 5 1 5 1 1 5 1 || 0 5 6 11 12 13 18 || C Eb E G G# Ab B# ||
|| 8|2 || 31131131311 ||   ||
|| 4|2 || 5 1 1 5 1 5 1 || 0 5 6 7 12 13 18 || C Eb E E# G# Ab B# ||
|| 7|3 || 31131131131 ||   ||
|| 3|3 || 1 5 1 5 1 5 1 || 0 1 6 7 12 13 18 || C C# E E# G# Ab B# ||
|| 6|4 || 13131131131 ||   ||
|| 2|4 || 1 5 1 5 1 1 5 || 0 1 6 7 12 13 14 || C C# E E# G# Ab A ||
|| 5|5 || 13113131131 || symmetrical, has neither 4/3 nor 3/2 ||
|| 1|5 || 1 5 1 1 5 1 5 || 0 1 6 7 8 13 14 || C C# E E# F Ab A ||
|| 4|6 || 13113113131 ||   ||
|| 0|6 || 1 1 5 1 5 1 5 || 0 1 2 7 8 13 14 || C C# Db E# F Ab A ||
|| 3|7 || 13113113113 ||   ||
|| 2|8 || 11313113113 ||  ||
|| 1|9 || 11311313113 ||  ||
|| 0|10 || 11311311313 ||   ||


**[15]** ([[xenharmonic/4L 3s|4L+11s ]]/ CPG = 14\19 ~= 5/3)
**magic[10]** ([[3L 7s|3L+7s]] / CPG = 6\19 ~=5/4)
121112111211121
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 9|0 || 4 1 1 4 1 1 4 1 1 1 || 0 4 5 6 10 11 12 16 17 18 || C D# Eb E Gb G G# Bb B B# ||
|| 8|1 || 4 1 1 4 1 1 1 4 1 1 || 0 4 5 6 10 11 12 13 17 18 || C D# Eb E Gb G G# Ab B B# ||
|| 7|2 || 4 1 1 1 4 1 1 4 1 1 || 0 4 5 6 7 11 12 13 17 18 || C D# Eb E E# G G# Ab B B# ||
|| 6|3 || 1 4 1 1 4 1 1 4 1 1 || 0 1 5 6 7 11 12 13 17 18 || C C# Eb E E# G G# Ab B B# ||
|| 5|4 || 1 4 1 1 4 1 1 1 4 1 || 0 1 5 6 7 11 12 13 14 18 || C C# Eb E E# G G# Ab A B# ||
|| 4|5 || 1 4 1 1 1 4 1 1 4 1 || 0 1 5 6 7 8 12 13 14 18 || C C# Eb E E# F G# Ab A B# ||
|| 3|6 || 1 1 4 1 1 4 1 1 4 1 || 0 1 2 6 7 8 12 13 14 18 || C C# Db E E# F G# Ab A B# ||
|| 2|7 || 1 1 4 1 1 4 1 1 1 4 || 0 1 2 6 7 8 12 13 14 15 || C C# Db E E# F G# Ab A A# ||
|| 1|8 || 1 1 4 1 1 1 4 1 1 4 || 0 1 2 6 7 8 9 13 14 15 || C C# Db E E# F F# Ab A A# ||
|| 0|9 || 1 1 1 4 1 1 4 1 1 4 || 0 1 2 3 7 8 9 13 14 15 || C C# Db D E# F F# Ab A A# ||


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


==[[Magic|magic]]==
**magic[16]** ([[3L 13s|3L+13s]] / CPG = 6\19 ~=5/4)
(6\19; ~5/4)
||~ &lt;span style="font-size: 80%;"&gt;UDP&lt;/span&gt; ||~ &lt;span style="font-size: 80%;"&gt;steps&lt;/span&gt; ||~ &lt;span style="font-size: 80%;"&gt;degrees&lt;/span&gt; ||~ &lt;span style="font-size: 80%;"&gt;note names&lt;/span&gt; ||
**[7]** 5151511
|| &lt;span style="font-size: 80%;"&gt;15|0&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C Db D D# Eb E F F# Gb G G# A A# Bb B B#&lt;/span&gt; ||
**[10]** 4114114111
|| &lt;span style="font-size: 80%;"&gt;14|1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#&lt;/span&gt; ||
**[13]** 3111311131111
|| &lt;span style="font-size: 80%;"&gt;13|2&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#&lt;/span&gt; ||
**[16]** 2111121111211111
|| &lt;span style="font-size: 80%;"&gt;12|3&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;11|4&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;10|5&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F Gb G G# Ab A Bb B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;9|6&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;8|7&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F Gb G G# Ab A A# B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;7|8&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F F# G G# Ab A A# B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;6|9&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# G G# Ab A A# B B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;5|10&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# G G# Ab A A# Bb B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;4|11&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;3|12&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;2|13&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G# Ab A A# Bb B&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;1|14&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G Ab A A# Bb B&lt;/span&gt; ||
|| &lt;span style="font-size: 80%;"&gt;0|15&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17&lt;/span&gt; || &lt;span style="font-size: 80%;"&gt;C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B&lt;/span&gt; ||


==[[sensi]]==  
==[[sensi|Sensi]]==  


**sensi[5]** ([[3L 2s|3L+2s]] / [[Modal UDP Notation|chroma-positive generator]] = 12\19)
**sensi[5]** ([[3L 2s|3L+2s]] / [[Modal UDP Notation|chroma-positive generator]] = 12\19)
Line 168: Line 241:




==[[meantone]]==  
==[[meantone|Meantone]]==  


**meantone[5]** ([[2L 3s|2L+3s]] / [[Modal UDP Notation|chroma-positive generator]] = 8\19 ~= 4/3)
**meantone[5]** ([[2L 3s|2L+3s]] / [[Modal UDP Notation|chroma-positive generator]] = 8\19 ~= 4/3)
Line 202: Line 275:
|| 1|10 || 121221212122 || C C# D D# E F F# G G# A A# 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 ||  ||
|| 0|11 || 121212212122 || C C# D D# E E# F# G G# A A# B ||  ||
&lt;span style="font-size: 90%;"&gt;Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different).&lt;/span&gt;




==[[Meantone family#Liese|liese]]/[[Marvel temperaments#Triton|triton]]==  
==[[Meantone family#Liese|Liese]] / [[Marvel temperaments#Triton|Triton]]==  
(9\19; ~7/5)
(9\19; ~7/5)
**[11]** 51111511111
**[11]** 51111511111
Line 213: Line 284:
**[17]** 21111111211111111
**[17]** 21111111211111111


[[media type="custom" key="24946768"]]</pre></div>
[[media type="custom" key="24946792"]]</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&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;&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="toc"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;&lt;!-- ws:start:WikiTextTocRule:25:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt;&lt;!-- ws:end:WikiTextTocRule:25 --&gt;&lt;!-- ws:start:WikiTextTocRule:26: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#toc"&gt;toc&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:26 --&gt;&lt;!-- ws:start:WikiTextTocRule:27: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Note names in 19edo"&gt;Note names in 19edo&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:27 --&gt;&lt;!-- ws:start:WikiTextTocRule:28: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Miscellaneous scales"&gt;Miscellaneous scales&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:28 --&gt;&lt;!-- ws:start:WikiTextTocRule:29: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments"&gt;MOS scales and modes of rank-2 temperaments&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:29 --&gt;&lt;!-- ws:start:WikiTextTocRule:30: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Negri"&gt;Negri&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:30 --&gt;&lt;!-- ws:start:WikiTextTocRule:31: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Deutone"&gt;Deutone&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:31 --&gt;&lt;!-- ws:start:WikiTextTocRule:32: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore"&gt;Godzilla / Semaphore&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:32 --&gt;&lt;!-- ws:start:WikiTextTocRule:33: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"&gt;Kleismic / Hanson&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:33 --&gt;&lt;!-- ws:start:WikiTextTocRule:34: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Magic"&gt;Magic&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:34 --&gt;&lt;!-- ws:start:WikiTextTocRule:35: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Sensi"&gt;Sensi&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:35 --&gt;&lt;!-- ws:start:WikiTextTocRule:36: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Meantone"&gt;Meantone&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:36 --&gt;&lt;!-- ws:start:WikiTextTocRule:37: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#MOS scales and modes of rank-2 temperaments-Liese / Triton"&gt;Liese / Triton&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:37 --&gt;&lt;!-- ws:start:WikiTextTocRule:38: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:38 --&gt;&lt;/h1&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;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Note names in 19edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Note names in 19edo&lt;/h1&gt;
  &lt;br /&gt;
  The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):&lt;br /&gt;
The charts below primarily use the following note names:&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;0&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;8&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;9&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;10&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;11&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;12&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;14&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;15&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;16&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;17&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;18&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;C&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;C#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Db&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;D#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;D#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Eb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;E#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;E# (Fb)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;F#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Gb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Gb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;G#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;G#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ab&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ab&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Bb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;B&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;B#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;B# (Cb)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
&lt;/table&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;
Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in &amp;quot;standard&amp;quot; notation; for example; Fx=F##=Gb and Bbb=A#.&lt;br /&gt;
&lt;br /&gt;
Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!&lt;br /&gt;
&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;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Miscellaneous scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Miscellaneous scales&lt;/h1&gt;
  &lt;br /&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: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;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;MOS scales and modes of rank-2 temperaments&lt;/h1&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-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;!-- 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-Negri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&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;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;UDP&lt;br /&gt;
         &lt;th&gt;UDP&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;19edo steps&lt;br /&gt;
         &lt;th&gt;steps&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;comments&lt;br /&gt;
         &lt;th&gt;degrees&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;comments&lt;br /&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;8|0&lt;br /&gt;
         &lt;td&gt;8|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;322222222&lt;br /&gt;
         &lt;td&gt;3 2 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 5 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D Eb E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;7|1&lt;br /&gt;
         &lt;td&gt;7|1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;232222222&lt;br /&gt;
         &lt;td&gt;2 3 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 5 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db Eb E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;6|2&lt;br /&gt;
         &lt;td&gt;6|2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;223222222&lt;br /&gt;
         &lt;td&gt;2 2 3 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;5|3&lt;br /&gt;
         &lt;td&gt;5|3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222322222&lt;br /&gt;
         &lt;td&gt;2 2 2 3 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;4|4&lt;br /&gt;
         &lt;td&gt;4|4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222232222&lt;br /&gt;
         &lt;td&gt;2 2 2 2 3 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;symmetrical, has both 4/3 and 3/2&lt;br /&gt;
         &lt;td&gt;symmetrical, has both 4/3 and 3/2&lt;br /&gt;
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         &lt;td&gt;3|5&lt;br /&gt;
         &lt;td&gt;3|5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222223222&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 3 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;2|6&lt;br /&gt;
         &lt;td&gt;2|6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222222322&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 3 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 12 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;1|7&lt;br /&gt;
         &lt;td&gt;1|7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222222232&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 2 3 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 12 14 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# A B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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         &lt;td&gt;0|8&lt;br /&gt;
         &lt;td&gt;0|8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;222222223&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 2 2 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 12 14 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# A Bb&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;negri[10]&lt;/strong&gt; (&lt;a class="wiki_link" href="/9L%201s"&gt;9L+1s&lt;/a&gt; / CPG = 2\19)&lt;br /&gt;
&lt;strong&gt;negri[10]&lt;/strong&gt; (&lt;a class="wiki_link" href="/9L%201s"&gt;9L+1s&lt;/a&gt; / CPG = 2\19)&lt;br /&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;UDP&lt;br /&gt;
         &lt;th&gt;UDP&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;19edo steps&lt;br /&gt;
         &lt;th&gt;steps&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;comments&lt;br /&gt;
         &lt;th&gt;degrees&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;9|0&lt;br /&gt;
         &lt;td&gt;9|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222222221&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 2 2 2 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;0 2 4 6 8 10 12 14 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# A Bb B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;8|1&lt;br /&gt;
         &lt;td&gt;8|1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222222212&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 2 2 1 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;0 2 4 6 8 10 12 14 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# A Bb B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 434: Line 569:
         &lt;td&gt;7|2&lt;br /&gt;
         &lt;td&gt;7|2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222222122&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 2 1 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 12 14 15 17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;C Db D# E F Gb G# A A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;6|3&lt;br /&gt;
         &lt;td&gt;6|3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222221222&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 2 1 2 2 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;0 2 4 6 8 10 12 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# E F Gb G# Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;5|4&lt;br /&gt;
         &lt;td&gt;5|4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222212222&lt;br /&gt;
         &lt;td&gt;2 2 2 2 2 1 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 10 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;has both 4/3 and 3/2&lt;br /&gt;
         &lt;td&gt;C Db D# E F Gb G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 458: Line 599:
         &lt;td&gt;4|5&lt;br /&gt;
         &lt;td&gt;4|5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2222122222&lt;br /&gt;
         &lt;td&gt;2 2 2 2 1 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 8 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;has both 4/3 and 3/2&lt;br /&gt;
         &lt;td&gt;C Db D# E F F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 466: Line 609:
         &lt;td&gt;3|6&lt;br /&gt;
         &lt;td&gt;3|6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2221222222&lt;br /&gt;
         &lt;td&gt;2 2 2 1 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 4 6 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;C Db D# E E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 474: Line 619:
         &lt;td&gt;2|7&lt;br /&gt;
         &lt;td&gt;2|7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2212222222&lt;br /&gt;
         &lt;td&gt;2 2 1 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;0 2 4 5 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D# Eb E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 482: Line 629:
         &lt;td&gt;1|8&lt;br /&gt;
         &lt;td&gt;1|8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2122222222&lt;br /&gt;
         &lt;td&gt;2 1 2 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;0 2 3 5 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D Eb E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 490: Line 639:
         &lt;td&gt;0|9&lt;br /&gt;
         &lt;td&gt;0|9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1222222222&lt;br /&gt;
         &lt;td&gt;1 2 2 2 2 2 2 2 2 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 5 7 9 11 13 15 17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;C C# D Eb E# F# G Ab A# B&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 499: Line 650:
&lt;br /&gt;
&lt;br /&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-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;
&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-Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&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 505: Line 656:
&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: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;
&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-Godzilla / Semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;&lt;a class="wiki_link" href="/Semaphore%20and%20Godzilla"&gt;Godzilla / Semaphore&lt;/a&gt;&lt;/h2&gt;
  &lt;br /&gt;
  &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;godzilla[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;




Line 574: Line 725:


&lt;br /&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;strong&gt;godzilla[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;




Line 681: Line 832:


&lt;br /&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;strong&gt;godzilla[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;




Line 838: Line 989:


&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-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;!-- 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-Kleismic / Hanson"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;&lt;a class="wiki_link" href="/Kleismic%20family"&gt;Kleismic / Hanson&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;kleismic[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;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;UDP&lt;br /&gt;
         &lt;th&gt;UDP&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;19edo steps&lt;br /&gt;
         &lt;th&gt;steps&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;comments&lt;br /&gt;
         &lt;th&gt;degrees&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;comments&lt;br /&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6|0&lt;br /&gt;
         &lt;td&gt;6|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4414141&lt;br /&gt;
         &lt;td&gt;4 4 1 4 1 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 8 9 13 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# F F# Ab A B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;has 4/3&lt;br /&gt;
         &lt;td&gt;has 4/3&lt;br /&gt;
Line 863: Line 1,022:
         &lt;td&gt;5|1&lt;br /&gt;
         &lt;td&gt;5|1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4144141&lt;br /&gt;
         &lt;td&gt;4 1 4 4 1 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 9 13 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb F# Ab A B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 871: Line 1,034:
         &lt;td&gt;4|2&lt;br /&gt;
         &lt;td&gt;4|2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4141441&lt;br /&gt;
         &lt;td&gt;4 1 4 1 4 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 9 10 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb F# Gb A B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 879: Line 1,046:
         &lt;td&gt;3|3&lt;br /&gt;
         &lt;td&gt;3|3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;4141414&lt;br /&gt;
         &lt;td&gt;4 1 4 1 4 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 9 10 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb F# Gb A A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;symmetrical&lt;br /&gt;
         &lt;td&gt;symmetrical&lt;br /&gt;
Line 887: Line 1,058:
         &lt;td&gt;2|4&lt;br /&gt;
         &lt;td&gt;2|4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1441414&lt;br /&gt;
         &lt;td&gt;1 4 4 1 4 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 9 10 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb F# Gb A A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 895: Line 1,070:
         &lt;td&gt;1|5&lt;br /&gt;
         &lt;td&gt;1|5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1414414&lt;br /&gt;
         &lt;td&gt;1 4 1 4 4 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 6 10 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb E Gb A A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 903: Line 1,082:
         &lt;td&gt;0|6&lt;br /&gt;
         &lt;td&gt;0|6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1414144&lt;br /&gt;
         &lt;td&gt;1 4 1 4 1 4 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 6 10 11 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb E Gb G A#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;has 3/2&lt;br /&gt;
         &lt;td&gt;has 3/2&lt;br /&gt;
Line 911: Line 1,094:


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




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;UDP&lt;br /&gt;
         &lt;th&gt;UDP&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;19edo steps&lt;br /&gt;
         &lt;th&gt;steps&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
         &lt;td&gt;comments&lt;br /&gt;
         &lt;th&gt;degrees&lt;br /&gt;
&lt;/td&gt;
&lt;/th&gt;
        &lt;th&gt;note names&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;comments&lt;br /&gt;
&lt;/th&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;10|0&lt;br /&gt;
         &lt;td&gt;10|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;31311311311&lt;br /&gt;
         &lt;td&gt;3 1 3 1 1 3 1 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 7 8 9 12 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# E# F F# G# Ab A B B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 934: Line 1,125:
         &lt;td&gt;9|1&lt;br /&gt;
         &lt;td&gt;9|1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;31131311311&lt;br /&gt;
         &lt;td&gt;3 1 1 3 1 3 1 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 8 9 12 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb F F# G# Ab A B B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 942: Line 1,137:
         &lt;td&gt;8|2&lt;br /&gt;
         &lt;td&gt;8|2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;31131131311&lt;br /&gt;
         &lt;td&gt;3 1 1 3 1 1 3 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 8 9 10 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb F F# Gb Ab A B B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 950: Line 1,149:
         &lt;td&gt;7|3&lt;br /&gt;
         &lt;td&gt;7|3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;31131131131&lt;br /&gt;
         &lt;td&gt;3 1 1 3 1 1 3 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 8 9 10 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb F F# Gb Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 958: Line 1,161:
         &lt;td&gt;6|4&lt;br /&gt;
         &lt;td&gt;6|4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13131131131&lt;br /&gt;
         &lt;td&gt;1 3 1 3 1 1 3 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 8 9 10 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb F F# Gb Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 1 3 1 3 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 6 9 10 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E F# Gb Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;symmetrical, has neither 4/3 nor 3/2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 1 3 1 1 3 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 6 9 10 11 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E F# Gb G A A# B#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 964: Line 1,195:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;5|5&lt;br /&gt;
         &lt;td&gt;3|7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13113131131&lt;br /&gt;
        &lt;td&gt;1 3 1 1 3 1 1 3 1 1 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;symmetrical, has neither 4/3 nor 3/2&lt;br /&gt;
        &lt;td&gt;0 1 4 5 6 9 10 11 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E F# Gb G A A# Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 3 1 1 3 1 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 9 10 11 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E F# Gb G A A# Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 1 3 1 3 1 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 7 10 11 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E E# Gb G A A# Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 1 3 1 1 3 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 7 10 11 12 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E E# Gb G G# A# Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;kleismic[15]&lt;/strong&gt; (&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s"&gt;4L+11s &lt;/a&gt;/ CPG = 14\19 ~= 5/3)&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;steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;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;14|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 2 1 1 1 2 1 1 1 2 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 6 7 8 9 11 12 13 14 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# E E# F F# G G# Ab A Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 1 2 1 1 2 1 1 1 2 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 5 7 8 9 11 12 13 14 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# Eb E# F F# G G# Ab A Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 1 2 1 1 1 2 1 1 2 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 5 7 8 9 10 12 13 14 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# Eb E# F F# Gb G# Ab A Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2 1 1 1 2 1 1 1 2 1 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 2 3 4 5 7 8 9 10 12 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Db D D# Eb E# F F# Gb G# Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 2 1 1 1 2 1 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 7 8 9 10 12 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E# F F# Gb G# Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9|5&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;1 2 1 1 1 2 1 1 2 1 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 6 8 9 10 12 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E F F# Gb G# Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 1 2 1 1 1 2 1 1 2 1 1&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;0 1 3 4 5 6 8 9 10 11 13 14 15 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E F F# Gb G Ab A A# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 2 1 1 1 2 1 1 1 2 1 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 3 4 5 6 8 9 10 11 13 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D D# Eb E F F# Gb G Ab A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 2 1 1 1 2 1 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 8 9 10 11 13 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E F F# Gb G Ab A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 1 2 1 1 2 1 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 7 9 10 11 13 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb E E# F# Gb G Ab A A# Bb B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 1 2 1 1 1 2 1 1 2 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 7 9 10 11 12 14 15 16 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb 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|11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 2 1 1 1 2 1 1 1 2 1 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 4 5 6 7 9 10 11 12 14 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D# Eb 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;2|12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 2 1 1 2 1 1 1 2 1 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 5 6 7 9 10 11 12 14 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D Eb 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;1|13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 2 1 1 1 2 1 1 2 1 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 5 6 7 8 10 11 12 14 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D Eb 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;0|14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 2 1 1 1 2 1 1 1 2 1 1 2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 5 6 7 8 10 11 12 13 15 16 17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D Eb E E# F Gb G G# Ab A# Bb B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&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-Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;&lt;a class="wiki_link" href="/Magic"&gt;Magic&lt;/a&gt;&lt;/h2&gt;
&lt;br /&gt;
&lt;strong&gt;magic[7]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%204s"&gt;3L+4s&lt;/a&gt; / &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;chroma-positive generator&lt;/a&gt; = 6\19 ~=5/4)&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;steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;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;6|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5 1 5 1 5 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 5 6 11 12 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Eb E G G# B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5 1 5 1 1 5 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 5 6 11 12 13 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Eb E G G# Ab B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5 1 1 5 1 5 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 5 6 7 12 13 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C Eb E E# G# Ab B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 5 1 5 1 5 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 6 7 12 13 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# E E# G# Ab B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 5 1 5 1 1 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 6 7 12 13 14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# E E# G# Ab A&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 5 1 1 5 1 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 6 7 8 13 14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# E E# F Ab A&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 5 1 5 1 5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 7 8 13 14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db E# F Ab A&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;magic[10]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%207s"&gt;3L+7s&lt;/a&gt; / CPG = 6\19 ~=5/4)&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;steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;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;9|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 1 1 4 1 1 4 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 6 10 11 12 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb E Gb G G# Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 1 1 4 1 1 1 4 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 6 10 11 12 13 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb E Gb G G# Ab B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4 1 1 1 4 1 1 4 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 4 5 6 7 11 12 13 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D# Eb E E# G G# Ab B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 4 1 1 4 1 1 4 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 6 7 11 12 13 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb E E# G G# Ab B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 4 1 1 4 1 1 1 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 6 7 11 12 13 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb E E# G G# Ab A B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 4 1 1 1 4 1 1 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 5 6 7 8 12 13 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Eb E E# F G# Ab A B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 4 1 1 4 1 1 4 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 6 7 8 12 13 14 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db E E# F G# Ab A B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 4 1 1 4 1 1 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 6 7 8 12 13 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db E E# F G# Ab A A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 4 1 1 1 4 1 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 6 7 8 9 13 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db E E# F F# Ab A A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 4 1 1 4 1 1 4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 7 8 9 13 14 15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D E# F F# Ab A A#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;magic[13]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%2010s"&gt;3L+10s&lt;/a&gt; / CPG = 6\19 ~=5/4)&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;steps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;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;12|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 1 1 3 1 1 1 3 1 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 6 9 10 11 12 15 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb E F# Gb G G# A# Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 1 1 3 1 1 1 1 3 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 6 9 10 11 12 13 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb E F# Gb G G# Ab Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3 1 1 1 1 3 1 1 1 3 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 3 4 5 6 7 10 11 12 13 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C D D# Eb E E# Gb G G# Ab Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 1 1 3 1 1 1 3 1 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 6 7 10 11 12 13 16 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E E# Gb G G# Ab Bb B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 1 1 3 1 1 1 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 6 7 10 11 12 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E E# Gb G G# Ab A B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 3 1 1 1 1 3 1 1 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 4 5 6 7 8 11 12 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# D# Eb E E# F G G# Ab A B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 1 1 3 1 1 1 3 1 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 7 8 11 12 13 14 17 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E E# F G G# Ab A B B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 1 1 3 1 1 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 7 8 11 12 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E E# F G G# Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 3 1 1 1 1 3 1 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 5 6 7 8 9 12 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db Eb E E# F F# G# Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3|9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 3 1 1 1 3 1 1 1 3 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 6 7 8 9 12 13 14 15 18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D E E# F F# G# Ab A A# B#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 3 1 1 1 3 1 1 1 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 6 7 8 9 12 13 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D E E# F F# G# Ab A A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1|11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 3 1 1 1 1 3 1 1 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 6 7 8 9 10 13 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D E E# F F# Gb Ab A A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1 1 1 1 3 1 1 1 3 1 1 1 3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0 1 2 3 4 7 8 9 10 13 14 15 16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C C# Db D D# E# F F# Gb Ab A A# Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;strong&gt;magic[16]&lt;/strong&gt; (&lt;a class="wiki_link" href="/3L%2013s"&gt;3L+13s&lt;/a&gt; / CPG = 6\19 ~=5/4)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;&lt;span style="font-size: 80%;"&gt;UDP&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="font-size: 80%;"&gt;steps&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="font-size: 80%;"&gt;degrees&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="font-size: 80%;"&gt;note names&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;15|0&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C Db D D# Eb E F F# Gb G G# A A# Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;14|1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;13|2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;12|3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;11|4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;10|5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# D D# Eb E E# F Gb G G# Ab A Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;9|6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;8|7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F Gb G G# Ab A A# B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;7|8&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D# Eb E E# F F# G G# Ab A A# B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;6|9&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# G G# Ab A A# B B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;5|10&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# G G# Ab A A# Bb B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;4|11&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;3|12&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;2|13&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
    &lt;/tr&gt;
        &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2&lt;/span&gt;&lt;br /&gt;
    &lt;tr&gt;
        &lt;td&gt;4|6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;13113113131&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G# Ab A A# Bb B&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3|7&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1|14&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13113113113&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2|8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;11313113113&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D D# E E# F F# Gb G Ab A A# Bb B&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1|9&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0|15&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;11311313113&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0|10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;11311311313&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 80%;"&gt;C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,014: Line 1,943:


&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;[15]&lt;/strong&gt; (&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s"&gt;4L+11s &lt;/a&gt;/ CPG = 14\19 ~= 5/3)&lt;br /&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-Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;&lt;a class="wiki_link" href="/sensi"&gt;Sensi&lt;/a&gt;&lt;/h2&gt;
121112111211121&lt;br /&gt;
&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-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;
&lt;strong&gt;[7]&lt;/strong&gt; 5151511&lt;br /&gt;
&lt;strong&gt;[10]&lt;/strong&gt; 4114114111&lt;br /&gt;
&lt;strong&gt;[13]&lt;/strong&gt; 3111311131111&lt;br /&gt;
&lt;strong&gt;[16]&lt;/strong&gt; 2111121111211111&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-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 1,319: Line 2,237:
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&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;!-- 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-Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&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 1,611: Line 2,529:
&lt;/table&gt;
&lt;/table&gt;


&lt;span style="font-size: 90%;"&gt;Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different).&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&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;
&lt;!-- ws:start:WikiTextHeadingRule:23:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="MOS scales and modes of rank-2 temperaments-Liese / Triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:23 --&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;
Line 1,622: Line 2,538:
&lt;strong&gt;[17]&lt;/strong&gt; 21111111211111111&lt;br /&gt;
&lt;strong&gt;[17]&lt;/strong&gt; 21111111211111111&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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Revision as of 21:07, 25 January 2014

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=[[toc]]= 
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 (based on standard meantone/Pythagorean notation):
||= 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# (Fb) ||= F ||= F# ||= Gb ||= G ||= G# ||= Ab ||= A ||= A# ||= Bb ||= B ||= B# (Cb) ||
Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in "standard" notation; for example; Fx=F##=Gb and Bbb=A#.

Other systems of notation 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]]== 

**negri[9]** ([[1L 8s|1L+8s]] / [[Modal UDP Notation|chroma-positive generator]] = 17\19)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 8|0 || 3 2 2 2 2 2 2 2 2 || 0 3 5 7 9 11 13 15 17 || C D Eb E# F# G Ab A# B ||   ||
|| 7|1 || 2 3 2 2 2 2 2 2 2 || 0 2 5 7 9 11 13 15 17 || C Db Eb E# F# G Ab A# B ||   ||
|| 6|2 || 2 2 3 2 2 2 2 2 2 || 0 2 4 7 9 11 13 15 17 || C Db D# E# F# G Ab A# B ||   ||
|| 5|3 || 2 2 2 3 2 2 2 2 2 || 0 2 4 6 9 11 13 15 17 || C Db D# E F# G Ab A# B ||   ||
|| 4|4 || 2 2 2 2 3 2 2 2 2 || 0 2 4 6 8 11 13 15 17 || C Db D# E F G Ab A# B || symmetrical, has both 4/3 and 3/2 ||
|| 3|5 || 2 2 2 2 2 3 2 2 2 || 0 2 4 6 8 10 13 15 17 || C Db D# E F Gb Ab A# B ||   ||
|| 2|6 || 2 2 2 2 2 2 3 2 2 || 0 2 4 6 8 10 12 15 17 || C Db D# E F Gb G# A# B ||   ||
|| 1|7 || 2 2 2 2 2 2 2 3 2 || 0 2 4 6 8 10 12 14 17 || C Db D# E F Gb G# A B ||   ||
|| 0|8 || 2 2 2 2 2 2 2 2 3 || 0 2 4 6 8 10 12 14 16 || C Db D# E F Gb G# A Bb ||   ||


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


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

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

**godzilla[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# ||

**godzilla[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 ||

**godzilla[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]]== 

**kleismic[7]** ([[xenharmonic/4L 3s|4L+3s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 14\19 ~= 5/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 6|0 || 4 4 1 4 1 4 1 || 0 4 8 9 13 14 18 || C D# F F# Ab A B# || has 4/3 ||
|| 5|1 || 4 1 4 4 1 4 1 || 0 4 5 9 13 14 18 || C D# Eb F# Ab A B# ||   ||
|| 4|2 || 4 1 4 1 4 4 1 || 0 4 5 9 10 14 18 || C D# Eb F# Gb A B# ||   ||
|| 3|3 || 4 1 4 1 4 1 4 || 0 4 5 9 10 14 15 || C D# Eb F# Gb A A# || symmetrical ||
|| 2|4 || 1 4 4 1 4 1 4 || 0 1 5 9 10 14 15 || C C# Eb F# Gb A A# ||   ||
|| 1|5 || 1 4 1 4 4 1 4 || 0 1 5 6 10 14 15 || C C# Eb E Gb A A# ||   ||
|| 0|6 || 1 4 1 4 1 4 4 || 0 1 5 6 10 11 15 || C C# Eb E Gb G A# || has 3/2 ||

**kleismic[11]** ([[xenharmonic/4L 7s|4L+7s ]]/ CPG = 14\19 ~= 5/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 10|0 || 3 1 3 1 1 3 1 1 3 1 1 || 0 3 4 7 8 9 12 13 14 17 18 || C D D# E# F F# G# Ab A B B# ||   ||
|| 9|1 || 3 1 1 3 1 3 1 1 3 1 1 || 0 3 4 5 8 9 12 13 14 17 18 || C D D# Eb F F# G# Ab A B B# ||   ||
|| 8|2 || 3 1 1 3 1 1 3 1 3 1 1 || 0 3 4 5 8 9 10 13 14 17 18 || C D D# Eb F F# Gb Ab A B B# ||   ||
|| 7|3 || 3 1 1 3 1 1 3 1 1 3 1 || 0 3 4 5 8 9 10 13 14 15 18 || C D D# Eb F F# Gb Ab A A# B# ||   ||
|| 6|4 || 1 3 1 3 1 1 3 1 1 3 1 || 0 1 4 5 8 9 10 13 14 15 18 || C C# D# Eb F F# Gb Ab A A# B# ||   ||
|| 5|5 || 1 3 1 1 3 1 3 1 1 3 1 || 0 1 4 5 6 9 10 13 14 15 18 || C C# D# Eb E F# Gb Ab A A# B# || symmetrical, has neither 4/3 nor 3/2 ||
|| 4|6 || 1 3 1 1 3 1 1 3 1 3 1 || 0 1 4 5 6 9 10 11 14 15 18 || C C# D# Eb E F# Gb G A A# B# ||   ||
|| 3|7 || 1 3 1 1 3 1 1 3 1 1 3 || 0 1 4 5 6 9 10 11 14 15 16 || C C# D# Eb E F# Gb G A A# Bb ||   ||
|| 2|8 || 1 1 3 1 3 1 1 3 1 1 3 || 0 1 2 5 6 9 10 11 14 15 16 || C C# Db Eb E F# Gb G A A# Bb ||   ||
|| 1|9 || 1 1 3 1 1 3 1 3 1 1 3 || 0 1 2 5 6 7 10 11 14 15 16 || C C# Db Eb E E# Gb G A A# Bb ||   ||
|| 0|10 || 1 1 3 1 1 3 1 1 3 1 3 || 0 1 2 5 6 7 10 11 12 15 16 || C C# Db Eb E E# Gb G G# A# Bb ||   ||

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


==[[Magic]]== 

**magic[7]** ([[3L 4s|3L+4s]] / [[Modal UDP Notation|chroma-positive generator]] = 6\19 ~=5/4)
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 6|0 || 5 1 5 1 5 1 1 || 0 5 6 11 12 17 18 || C Eb E G G# B B# ||
|| 5|1 || 5 1 5 1 1 5 1 || 0 5 6 11 12 13 18 || C Eb E G G# Ab B# ||
|| 4|2 || 5 1 1 5 1 5 1 || 0 5 6 7 12 13 18 || C Eb E E# G# Ab B# ||
|| 3|3 || 1 5 1 5 1 5 1 || 0 1 6 7 12 13 18 || C C# E E# G# Ab B# ||
|| 2|4 || 1 5 1 5 1 1 5 || 0 1 6 7 12 13 14 || C C# E E# G# Ab A ||
|| 1|5 || 1 5 1 1 5 1 5 || 0 1 6 7 8 13 14 || C C# E E# F Ab A ||
|| 0|6 || 1 1 5 1 5 1 5 || 0 1 2 7 8 13 14 || C C# Db E# F Ab A ||

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

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

**magic[16]** ([[3L 13s|3L+13s]] / CPG = 6\19 ~=5/4)
||~ <span style="font-size: 80%;">UDP</span> ||~ <span style="font-size: 80%;">steps</span> ||~ <span style="font-size: 80%;">degrees</span> ||~ <span style="font-size: 80%;">note names</span> ||
|| <span style="font-size: 80%;">15|0</span> || <span style="font-size: 80%;">2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1</span> || <span style="font-size: 80%;">0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18</span> || <span style="font-size: 80%;">C Db D D# Eb E F F# Gb G G# A A# Bb B B#</span> ||
|| <span style="font-size: 80%;">14|1</span> || <span style="font-size: 80%;">2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1</span> || <span style="font-size: 80%;">0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18</span> || <span style="font-size: 80%;">C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#</span> ||
|| <span style="font-size: 80%;">13|2</span> || <span style="font-size: 80%;">2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1</span> || <span style="font-size: 80%;">0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18</span> || <span style="font-size: 80%;">C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#</span> ||
|| <span style="font-size: 80%;">12|3</span> || <span style="font-size: 80%;">1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1</span> || <span style="font-size: 80%;">0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18</span> || <span style="font-size: 80%;">C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#</span> ||
|| <span style="font-size: 80%;">11|4</span> || <span style="font-size: 80%;">1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1</span> || <span style="font-size: 80%;">0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18</span> || <span style="font-size: 80%;">C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#</span> ||
|| <span style="font-size: 80%;">10|5</span> || <span style="font-size: 80%;">1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1</span> || <span style="font-size: 80%;">0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18</span> || <span style="font-size: 80%;">C C# D D# Eb E E# F Gb G G# Ab A Bb B B#</span> ||
|| <span style="font-size: 80%;">9|6</span> || <span style="font-size: 80%;">1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1</span> || <span style="font-size: 80%;">0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18</span> || <span style="font-size: 80%;">C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#</span> ||
|| <span style="font-size: 80%;">8|7</span> || <span style="font-size: 80%;">1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1</span> || <span style="font-size: 80%;">0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18</span> || <span style="font-size: 80%;">C C# Db D# Eb E E# F Gb G G# Ab A A# B B#</span> ||
|| <span style="font-size: 80%;">7|8</span> || <span style="font-size: 80%;">1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1</span> || <span style="font-size: 80%;">0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18</span> || <span style="font-size: 80%;">C C# Db D# Eb E E# F F# G G# Ab A A# B B#</span> ||
|| <span style="font-size: 80%;">6|9</span> || <span style="font-size: 80%;">1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1</span> || <span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18</span> || <span style="font-size: 80%;">C C# Db D Eb E E# F F# G G# Ab A A# B B#</span> ||
|| <span style="font-size: 80%;">5|10</span> || <span style="font-size: 80%;">1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1</span> || <span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18</span> || <span style="font-size: 80%;">C C# Db D Eb E E# F F# G G# Ab A A# Bb B#</span> ||
|| <span style="font-size: 80%;">4|11</span> || <span style="font-size: 80%;">1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1</span> || <span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18</span> || <span style="font-size: 80%;">C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#</span> ||
|| <span style="font-size: 80%;">3|12</span> || <span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1</span> || <span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18</span> || <span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#</span> ||
|| <span style="font-size: 80%;">2|13</span> || <span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2</span> || <span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17</span> || <span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G# Ab A A# Bb B</span> ||
|| <span style="font-size: 80%;">1|14</span> || <span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2</span> || <span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17</span> || <span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G Ab A A# Bb B</span> ||
|| <span style="font-size: 80%;">0|15</span> || <span style="font-size: 80%;">1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2</span> || <span style="font-size: 80%;">0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17</span> || <span style="font-size: 80%;">C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B</span> ||

==[[sensi|Sensi]]== 

**sensi[5]** ([[3L 2s|3L+2s]] / [[Modal UDP Notation|chroma-positive generator]] = 12\19)
||~ UDP ||~ mode steps ||~ mode degrees ||~ note names ||
|| 4|0 || 5 5 2 5 2 || 0 5 10 12 17 || C Eb Gb G# B ||
|| 3|1 || 5 2 5 5 2 || 0 5 7 12 17 || C Eb E# G# B ||
|| 2|2 || 5 2 5 2 5 || 0 5 7 12 14 || C Eb E# G# A ||
|| 1|3 || 2 5 5 2 5 || 0 2 7 12 14 || C Db E# G# A ||
|| 0|4 || 2 5 2 5 5 || 0 2 7 9 14 || C Db E# F# A ||

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

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


==[[meantone|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 ||   ||


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

[[media type="custom" key="24946792"]]

Original HTML content:

<html><head><title>19edo Modes</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="toc"></a><!-- ws:end:WikiTextHeadingRule:1 --><!-- ws:start:WikiTextTocRule:25:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#toc">toc</a></div>
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 1em;"><a href="#Note names in 19edo">Note names in 19edo</a></div>
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 1em;"><a href="#Miscellaneous scales">Miscellaneous scales</a></div>
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 1em;"><a href="#MOS scales and modes of rank-2 temperaments">MOS scales and modes of rank-2 temperaments</a></div>
<!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Negri">Negri</a></div>
<!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Deutone">Deutone</a></div>
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore">Godzilla / Semaphore</a></div>
<!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Kleismic / Hanson">Kleismic / Hanson</a></div>
<!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Magic">Magic</a></div>
<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Sensi">Sensi</a></div>
<!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Meantone">Meantone</a></div>
<!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Liese / Triton">Liese / Triton</a></div>
<!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --></div>
<!-- ws:end:WikiTextTocRule:38 --></h1>
 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:3:&lt;h1&gt; --><h1 id="toc1"><a name="Note names in 19edo"></a><!-- ws:end:WikiTextHeadingRule:3 -->Note names in 19edo</h1>
 The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):<br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;">0<br />
</td>
        <td style="text-align: center;">1<br />
</td>
        <td style="text-align: center;">2<br />
</td>
        <td style="text-align: center;">3<br />
</td>
        <td style="text-align: center;">4<br />
</td>
        <td style="text-align: center;">5<br />
</td>
        <td style="text-align: center;">6<br />
</td>
        <td style="text-align: center;">7<br />
</td>
        <td style="text-align: center;">8<br />
</td>
        <td style="text-align: center;">9<br />
</td>
        <td style="text-align: center;">10<br />
</td>
        <td style="text-align: center;">11<br />
</td>
        <td style="text-align: center;">12<br />
</td>
        <td style="text-align: center;">13<br />
</td>
        <td style="text-align: center;">14<br />
</td>
        <td style="text-align: center;">15<br />
</td>
        <td style="text-align: center;">16<br />
</td>
        <td style="text-align: center;">17<br />
</td>
        <td style="text-align: center;">18<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">C<br />
</td>
        <td style="text-align: center;">C#<br />
</td>
        <td style="text-align: center;">Db<br />
</td>
        <td style="text-align: center;">D<br />
</td>
        <td style="text-align: center;">D#<br />
</td>
        <td style="text-align: center;">Eb<br />
</td>
        <td style="text-align: center;">E<br />
</td>
        <td style="text-align: center;">E# (Fb)<br />
</td>
        <td style="text-align: center;">F<br />
</td>
        <td style="text-align: center;">F#<br />
</td>
        <td style="text-align: center;">Gb<br />
</td>
        <td style="text-align: center;">G<br />
</td>
        <td style="text-align: center;">G#<br />
</td>
        <td style="text-align: center;">Ab<br />
</td>
        <td style="text-align: center;">A<br />
</td>
        <td style="text-align: center;">A#<br />
</td>
        <td style="text-align: center;">Bb<br />
</td>
        <td style="text-align: center;">B<br />
</td>
        <td style="text-align: center;">B# (Cb)<br />
</td>
    </tr>
</table>

Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in &quot;standard&quot; notation; for example; Fx=F##=Gb and Bbb=A#.<br />
<br />
Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Miscellaneous scales"></a><!-- ws:end:WikiTextHeadingRule:5 -->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 />
<br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="MOS scales and modes of rank-2 temperaments"></a><!-- ws:end:WikiTextHeadingRule:7 -->MOS scales and modes of rank-2 temperaments</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="MOS scales and modes of rank-2 temperaments-Negri"></a><!-- ws:end:WikiTextHeadingRule:9 --><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>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td>8|0<br />
</td>
        <td>3 2 2 2 2 2 2 2 2<br />
</td>
        <td>0 3 5 7 9 11 13 15 17<br />
</td>
        <td>C D Eb E# F# G Ab A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|1<br />
</td>
        <td>2 3 2 2 2 2 2 2 2<br />
</td>
        <td>0 2 5 7 9 11 13 15 17<br />
</td>
        <td>C Db Eb E# F# G Ab A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|2<br />
</td>
        <td>2 2 3 2 2 2 2 2 2<br />
</td>
        <td>0 2 4 7 9 11 13 15 17<br />
</td>
        <td>C Db D# E# F# G Ab A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5|3<br />
</td>
        <td>2 2 2 3 2 2 2 2 2<br />
</td>
        <td>0 2 4 6 9 11 13 15 17<br />
</td>
        <td>C Db D# E F# G Ab A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4|4<br />
</td>
        <td>2 2 2 2 3 2 2 2 2<br />
</td>
        <td>0 2 4 6 8 11 13 15 17<br />
</td>
        <td>C Db D# E F G Ab A# B<br />
</td>
        <td>symmetrical, has both 4/3 and 3/2<br />
</td>
    </tr>
    <tr>
        <td>3|5<br />
</td>
        <td>2 2 2 2 2 3 2 2 2<br />
</td>
        <td>0 2 4 6 8 10 13 15 17<br />
</td>
        <td>C Db D# E F Gb Ab A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|6<br />
</td>
        <td>2 2 2 2 2 2 3 2 2<br />
</td>
        <td>0 2 4 6 8 10 12 15 17<br />
</td>
        <td>C Db D# E F Gb G# A# B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|7<br />
</td>
        <td>2 2 2 2 2 2 2 3 2<br />
</td>
        <td>0 2 4 6 8 10 12 14 17<br />
</td>
        <td>C Db D# E F Gb G# A B<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|8<br />
</td>
        <td>2 2 2 2 2 2 2 2 3<br />
</td>
        <td>0 2 4 6 8 10 12 14 16<br />
</td>
        <td>C Db D# E F Gb G# A Bb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

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


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

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="MOS scales and modes of rank-2 temperaments-Deutone"></a><!-- ws:end:WikiTextHeadingRule:11 --><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:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore"></a><!-- ws:end:WikiTextHeadingRule:13 --><a class="wiki_link" href="/Semaphore%20and%20Godzilla">Godzilla / Semaphore</a></h2>
 <br />
<strong>godzilla[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>godzilla[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>godzilla[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:15:&lt;h2&gt; --><h2 id="toc7"><a name="MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"></a><!-- ws:end:WikiTextHeadingRule:15 --><a class="wiki_link" href="/Kleismic%20family">Kleismic / Hanson</a></h2>
 <br />
<strong>kleismic[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>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td>6|0<br />
</td>
        <td>4 4 1 4 1 4 1<br />
</td>
        <td>0 4 8 9 13 14 18<br />
</td>
        <td>C D# F F# Ab A B#<br />
</td>
        <td>has 4/3<br />
</td>
    </tr>
    <tr>
        <td>5|1<br />
</td>
        <td>4 1 4 4 1 4 1<br />
</td>
        <td>0 4 5 9 13 14 18<br />
</td>
        <td>C D# Eb F# Ab A B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>4|2<br />
</td>
        <td>4 1 4 1 4 4 1<br />
</td>
        <td>0 4 5 9 10 14 18<br />
</td>
        <td>C D# Eb F# Gb A B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|3<br />
</td>
        <td>4 1 4 1 4 1 4<br />
</td>
        <td>0 4 5 9 10 14 15<br />
</td>
        <td>C D# Eb F# Gb A A#<br />
</td>
        <td>symmetrical<br />
</td>
    </tr>
    <tr>
        <td>2|4<br />
</td>
        <td>1 4 4 1 4 1 4<br />
</td>
        <td>0 1 5 9 10 14 15<br />
</td>
        <td>C C# Eb F# Gb A A#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|5<br />
</td>
        <td>1 4 1 4 4 1 4<br />
</td>
        <td>0 1 5 6 10 14 15<br />
</td>
        <td>C C# Eb E Gb A A#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|6<br />
</td>
        <td>1 4 1 4 1 4 4<br />
</td>
        <td>0 1 5 6 10 11 15<br />
</td>
        <td>C C# Eb E Gb G A#<br />
</td>
        <td>has 3/2<br />
</td>
    </tr>
</table>

<br />
<strong>kleismic[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>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td>10|0<br />
</td>
        <td>3 1 3 1 1 3 1 1 3 1 1<br />
</td>
        <td>0 3 4 7 8 9 12 13 14 17 18<br />
</td>
        <td>C D D# E# F F# G# Ab A B B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>9|1<br />
</td>
        <td>3 1 1 3 1 3 1 1 3 1 1<br />
</td>
        <td>0 3 4 5 8 9 12 13 14 17 18<br />
</td>
        <td>C D D# Eb F F# G# Ab A B B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>8|2<br />
</td>
        <td>3 1 1 3 1 1 3 1 3 1 1<br />
</td>
        <td>0 3 4 5 8 9 10 13 14 17 18<br />
</td>
        <td>C D D# Eb F F# Gb Ab A B B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>7|3<br />
</td>
        <td>3 1 1 3 1 1 3 1 1 3 1<br />
</td>
        <td>0 3 4 5 8 9 10 13 14 15 18<br />
</td>
        <td>C D D# Eb F F# Gb Ab A A# B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>6|4<br />
</td>
        <td>1 3 1 3 1 1 3 1 1 3 1<br />
</td>
        <td>0 1 4 5 8 9 10 13 14 15 18<br />
</td>
        <td>C C# D# Eb F F# Gb Ab A A# B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>5|5<br />
</td>
        <td>1 3 1 1 3 1 3 1 1 3 1<br />
</td>
        <td>0 1 4 5 6 9 10 13 14 15 18<br />
</td>
        <td>C C# D# Eb E F# Gb Ab A A# B#<br />
</td>
        <td>symmetrical, has neither 4/3 nor 3/2<br />
</td>
    </tr>
    <tr>
        <td>4|6<br />
</td>
        <td>1 3 1 1 3 1 1 3 1 3 1<br />
</td>
        <td>0 1 4 5 6 9 10 11 14 15 18<br />
</td>
        <td>C C# D# Eb E F# Gb G A A# B#<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|7<br />
</td>
        <td>1 3 1 1 3 1 1 3 1 1 3<br />
</td>
        <td>0 1 4 5 6 9 10 11 14 15 16<br />
</td>
        <td>C C# D# Eb E F# Gb G A A# Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2|8<br />
</td>
        <td>1 1 3 1 3 1 1 3 1 1 3<br />
</td>
        <td>0 1 2 5 6 9 10 11 14 15 16<br />
</td>
        <td>C C# Db Eb E F# Gb G A A# Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|9<br />
</td>
        <td>1 1 3 1 1 3 1 3 1 1 3<br />
</td>
        <td>0 1 2 5 6 7 10 11 14 15 16<br />
</td>
        <td>C C# Db Eb E E# Gb G A A# Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|10<br />
</td>
        <td>1 1 3 1 1 3 1 1 3 1 3<br />
</td>
        <td>0 1 2 5 6 7 10 11 12 15 16<br />
</td>
        <td>C C# Db Eb E E# Gb G G# A# Bb<br />
</td>
        <td><br />
</td>
    </tr>
</table>

<br />
<strong>kleismic[15]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+11s </a>/ CPG = 14\19 ~= 5/3)<br />


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

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-Magic"></a><!-- ws:end:WikiTextHeadingRule:17 --><a class="wiki_link" href="/Magic">Magic</a></h2>
 <br />
<strong>magic[7]</strong> (<a class="wiki_link" href="/3L%204s">3L+4s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 6\19 ~=5/4)<br />


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

<br />
<strong>magic[10]</strong> (<a class="wiki_link" href="/3L%207s">3L+7s</a> / CPG = 6\19 ~=5/4)<br />


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

<br />
<strong>magic[13]</strong> (<a class="wiki_link" href="/3L%2010s">3L+10s</a> / CPG = 6\19 ~=5/4)<br />


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

<br />
<strong>magic[16]</strong> (<a class="wiki_link" href="/3L%2013s">3L+13s</a> / CPG = 6\19 ~=5/4)<br />


<table class="wiki_table">
    <tr>
        <th><span style="font-size: 80%;">UDP</span><br />
</th>
        <th><span style="font-size: 80%;">steps</span><br />
</th>
        <th><span style="font-size: 80%;">degrees</span><br />
</th>
        <th><span style="font-size: 80%;">note names</span><br />
</th>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">15|0</span><br />
</td>
        <td><span style="font-size: 80%;">2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C Db D D# Eb E F F# Gb G G# A A# Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">14|1</span><br />
</td>
        <td><span style="font-size: 80%;">2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">13|2</span><br />
</td>
        <td><span style="font-size: 80%;">2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">12|3</span><br />
</td>
        <td><span style="font-size: 80%;">1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">11|4</span><br />
</td>
        <td><span style="font-size: 80%;">1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">10|5</span><br />
</td>
        <td><span style="font-size: 80%;">1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# D D# Eb E E# F Gb G G# Ab A Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">9|6</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">8|7</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D# Eb E E# F Gb G G# Ab A A# B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">7|8</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D# Eb E E# F F# G G# Ab A A# B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">6|9</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D Eb E E# F F# G G# Ab A A# B B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">5|10</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D Eb E E# F F# G G# Ab A A# Bb B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">4|11</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">3|12</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">2|13</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G# Ab A A# Bb B</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">1|14</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D D# E E# F F# Gb G Ab A A# Bb B</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 80%;">0|15</span><br />
</td>
        <td><span style="font-size: 80%;">1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2</span><br />
</td>
        <td><span style="font-size: 80%;">0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17</span><br />
</td>
        <td><span style="font-size: 80%;">C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B</span><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-Sensi"></a><!-- ws:end:WikiTextHeadingRule:19 --><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>
        <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>5 5 2 5 2<br />
</td>
        <td>0 5 10 12 17<br />
</td>
        <td>C Eb Gb G# B<br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>5 2 5 5 2<br />
</td>
        <td>0 5 7 12 17<br />
</td>
        <td>C Eb E# G# B<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>5 2 5 2 5<br />
</td>
        <td>0 5 7 12 14<br />
</td>
        <td>C Eb E# G# A<br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>2 5 5 2 5<br />
</td>
        <td>0 2 7 12 14<br />
</td>
        <td>C Db E# G# A<br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>2 5 2 5 5<br />
</td>
        <td>0 2 7 9 14<br />
</td>
        <td>C Db E# F# A<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>
        <th>UDP<br />
</th>
        <th>mode steps<br />
</th>
        <th>mode degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>7|0<br />
</td>
        <td>3 2 3 2 2 3 2 2<br />
</td>
        <td>0 3 5 8 10 12 15 17<br />
</td>
        <td>C D Eb F Gb G# A# B<br />
</td>
    </tr>
    <tr>
        <td>6|1<br />
</td>
        <td>3 2 2 3 2 3 2 2<br />
</td>
        <td>0 3 5 7 10 12 15 17<br />
</td>
        <td>C D Eb E# Gb G# A# B<br />
</td>
    </tr>
    <tr>
        <td>5|2<br />
</td>
        <td>3 2 2 3 2 2 3 2<br />
</td>
        <td>0 3 5 7 10 12 14 17<br />
</td>
        <td>C D Eb E# Gb G# A B<br />
</td>
    </tr>
    <tr>
        <td>4|3<br />
</td>
        <td>2 3 2 3 2 2 3 2<br />
</td>
        <td>0 2 5 7 10 12 14 17<br />
</td>
        <td>C Db Eb E# Gb G# A B<br />
</td>
    </tr>
    <tr>
        <td>3|4<br />
</td>
        <td>2 3 2 2 3 2 3 2<br />
</td>
        <td>0 2 5 7 9 12 14 17<br />
</td>
        <td>C Db Eb E# F# G# A B<br />
</td>
    </tr>
    <tr>
        <td>2|5<br />
</td>
        <td>2 3 2 2 3 2 2 3<br />
</td>
        <td>0 2 5 7 9 12 14 16<br />
</td>
        <td>C Db Eb E# F# G# A Bb<br />
</td>
    </tr>
    <tr>
        <td>1|6<br />
</td>
        <td>2 2 3 2 3 2 2 3<br />
</td>
        <td>0 2 4 7 9 12 14 16<br />
</td>
        <td>C Db D# E# F# G# A Bb<br />
</td>
    </tr>
    <tr>
        <td>0|7<br />
</td>
        <td>2 2 3 2 2 3 2 3<br />
</td>
        <td>0 2 4 7 9 11 14 16<br />
</td>
        <td>C Db D# E# F# G A Bb<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>
        <th>UDP<br />
</th>
        <th>mode steps<br />
</th>
        <th>mode degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>10|0<br />
</td>
        <td>2 2 2 1 2 2 2 1 2 2 1<br />
</td>
        <td>0 2 4 6 7 9 11 13 14 16 18<br />
</td>
        <td>C Db D# E E# F# G Ab A Bb B#<br />
</td>
    </tr>
    <tr>
        <td>9|1<br />
</td>
        <td>2 2 2 1 2 2 1 2 2 2 1<br />
</td>
        <td>0 2 4 6 7 9 11 12 14 16 18<br />
</td>
        <td>C Db D# E E# F# G G# A Bb B#<br />
</td>
    </tr>
    <tr>
        <td>8|2<br />
</td>
        <td>2 2 1 2 2 2 1 2 2 2 1<br />
</td>
        <td>0 2 4 5 7 9 11 12 14 16 18<br />
</td>
        <td>C Db D# Eb E# F# G G# A Bb B#<br />
</td>
    </tr>
    <tr>
        <td>7|3<br />
</td>
        <td>2 2 1 2 2 2 1 2 2 1 2<br />
</td>
        <td>0 2 4 5 7 9 11 12 14 16 17<br />
</td>
        <td>C Db D# Eb E# F# G G# A Bb B<br />
</td>
    </tr>
    <tr>
        <td>6|4<br />
</td>
        <td>2 2 1 2 2 1 2 2 2 1 2<br />
</td>
        <td>0 2 4 5 7 9 10 12 14 16 17<br />
</td>
        <td>C Db D# Eb E# F# Gb G# A Bb B<br />
</td>
    </tr>
    <tr>
        <td>5|5<br />
</td>
        <td>2 1 2 2 2 1 2 2 2 1 2<br />
</td>
        <td>0 2 3 5 7 9 10 12 14 16 17<br />
</td>
        <td>C Db D Eb E# F# Gb G# A Bb B<br />
</td>
    </tr>
    <tr>
        <td>4|6<br />
</td>
        <td>2 1 2 2 2 1 2 2 1 2 2<br />
</td>
        <td>0 2 3 5 7 9 10 12 14 15 17<br />
</td>
        <td>C Db D Eb E# F# Gb G# A A# B<br />
</td>
    </tr>
    <tr>
        <td>3|7<br />
</td>
        <td>2 1 2 2 1 2 2 2 1 2 2<br />
</td>
        <td>0 2 3 5 7 8 10 12 14 15 17<br />
</td>
        <td>C Db D Eb E# F Gb G# A A# B<br />
</td>
    </tr>
    <tr>
        <td>2|8<br />
</td>
        <td>1 2 2 2 1 2 2 2 1 2 2<br />
</td>
        <td>0 1 3 5 7 8 10 12 14 15 17<br />
</td>
        <td>C C# D Eb E# F Gb G# A A# B<br />
</td>
    </tr>
    <tr>
        <td>1|9<br />
</td>
        <td>1 2 2 2 1 2 2 1 2 2 2<br />
</td>
        <td>0 1 3 5 7 8 10 12 13 15 17<br />
</td>
        <td>C C# D Eb E# F Gb G# Ab A# B<br />
</td>
    </tr>
    <tr>
        <td>0|10<br />
</td>
        <td>1 2 2 1 2 2 2 1 2 2 2<br />
</td>
        <td>0 1 3 5 6 8 10 12 13 15 17<br />
</td>
        <td>C C# D Eb E F Gb G# Ab A# B<br />
</td>
    </tr>
</table>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:21:&lt;h2&gt; --><h2 id="toc10"><a name="MOS scales and modes of rank-2 temperaments-Meantone"></a><!-- ws:end:WikiTextHeadingRule:21 --><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>

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="MOS scales and modes of rank-2 temperaments-Liese / Triton"></a><!-- ws:end:WikiTextHeadingRule:23 --><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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