19edo modes: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 20:05:05 UTC</tt>.

: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-25 21:07:38 UTC</tt>.

: The original revision id was <tt>~~485261076~~</tt>.

: The original revision id was <tt>485265308</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

<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=

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=

Line 19:

Line 22:

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]]==

**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)

|| 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)

**[6]** 333334

Line 56:

Line 61:

**[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 ||

|| 4|0 || 4 4 4 4 3 || 0 4 8 12 16 || C D# F G# Bb ||

Line 66:

Line 71:

|| 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 ||

|| 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 ||

**[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 ||

|| 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# ||

==[[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)

||~ UDP ||~ steps ||~ degrees ||~ note names ||

**[7~~]** 5151511~~

|| 15|0 || 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 || 0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18 || C Db D D# Eb E F F# Gb G G# A A# Bb B B# ||

**[10~~]** 4114114111~~

|| 14|1 || 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 || 0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 || C Db D D# Eb E F F# Gb G G# Ab A# Bb B B# ||

**[13~~]** 3111311131111~~

|| 13|2 || 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 || 0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18 || C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B# ||

**[16~~]** 2111121111211111~~

|| 12|3 || 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 || 0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18 || C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B# ||

|| 11|4 || 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 || 0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18 || C C# D D# Eb E E# F# Gb G G# Ab A Bb B B# ||

|| 10|5 || 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 || 0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18 || C C# D D# Eb E E# F Gb G G# Ab A Bb B B# ||

|| 9|6 || 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 || 0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18 || C C# Db D# Eb E E# F Gb G G# Ab A Bb B B# ||

|| 8|7 || 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 || 0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18 || C C# Db D# Eb E E# F Gb G G# Ab A A# B B# ||

|| 7|8 || 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 || 0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18 || C C# Db D# Eb E E# F F# G G# Ab A A# B B# ||

|| 6|9 || 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 || 0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18 || C C# Db D Eb E E# F F# G G# Ab A A# B B# ||

|| 5|10 || 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 || 0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18 || C C# Db D Eb E E# F F# G G# Ab A A# Bb B# ||

|| 4|11 || 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 || 0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18 || C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B# ||

|| 3|12 || 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 || 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18 || C C# Db D D# E E# F F# Gb G# Ab A A# Bb B# ||

|| 2|13 || 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 || 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17 || C C# Db D D# E E# F F# Gb G# Ab A A# Bb B ||

|| 1|14 || 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 || 0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17 || C C# Db D D# E E# F F# Gb G Ab A A# Bb B ||

|| 0|15 || 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 || 0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17 || C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B ||

==[[sensi]]==

==[[sensi|Sensi]]==

**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)

Line 202:

Line 275:

|| 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 || ||

~~Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different).~~

==[[Meantone family#Liese|~~liese~~]]/[[Marvel temperaments#Triton|~~triton~~]]==

==[[Meantone family#Liese|Liese]] / [[Marvel temperaments#Triton|Triton]]==

(9\19; ~7/5)

**[11]** 51111511111

Line 213:

Line 284:

**[17]** 21111111211111111

[[media type="custom" key="~~24946768~~"]]</pre></div>

[[media type="custom" key="24946792"]]</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>19edo Modes</title></head><body>Some scales and modes available in <a class="wiki_link" href="/19edo">19edo</a>. Please add more, discovered or newly-composed!

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>19edo Modes</title></head><body><h1 id="toc0"><a name="toc"></a><div id="toc"><h1 class="nopad">Table of Contents</h1><div style="margin-left: 1em;"><a href="#toc">toc</a></div>

<div style="margin-left: 1em;"><a href="#Note names in 19edo">Note names in 19edo</a></div>

<div style="margin-left: 1em;"><a href="#Miscellaneous scales">Miscellaneous scales</a></div>

<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>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Negri">Negri</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Deutone">Deutone</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore">Godzilla / Semaphore</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Kleismic / Hanson">Kleismic / Hanson</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Magic">Magic</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Sensi">Sensi</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Meantone">Meantone</a></div>

<div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Liese / Triton">Liese / Triton</a></div>

</div>

</h1>

Some scales and modes available in <a class="wiki_link" href="/19edo">19edo</a>. Please add more, discovered or newly-composed!

<h1 id="~~toc0~~"><a name="Note names in 19edo"></a>Note names in 19edo</h1>

<h1 id="toc1"><a name="Note names in 19edo"></a>Note names in 19edo</h1>

~~ ~~

The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):

The charts below primarily use the following note names:

<tr>

<td>0

<td style="text-align: center;">0

</td>

<td>1

<td style="text-align: center;">1

</td>

<td>2

<td style="text-align: center;">2

</td>

<td>3

<td style="text-align: center;">3

</td>

<td>4

<td style="text-align: center;">4

</td>

<td>5

<td style="text-align: center;">5

</td>

<td>6

<td style="text-align: center;">6

</td>

<td>7

<td style="text-align: center;">7

</td>

<td>8

<td style="text-align: center;">8

</td>

<td>9

<td style="text-align: center;">9

</td>

<td>10

<td style="text-align: center;">10

</td>

<td>11

<td style="text-align: center;">11

</td>

<td>12

<td style="text-align: center;">12

</td>

<td>13

<td style="text-align: center;">13

</td>

<td>14

<td style="text-align: center;">14

</td>

<td>15

<td style="text-align: center;">15

</td>

<td>16

<td style="text-align: center;">16

</td>

<td>17

<td style="text-align: center;">17

</td>

<td>18

<td style="text-align: center;">18

</td>

</tr>

<tr>

<td>C

<td style="text-align: center;">C

</td>

<td>C#

<td style="text-align: center;">C#

</td>

<td>Db

<td style="text-align: center;">Db

</td>

<td>D

<td style="text-align: center;">D

</td>

<td>D#

<td style="text-align: center;">D#

</td>

<td>Eb

<td style="text-align: center;">Eb

</td>

<td>E

<td style="text-align: center;">E

</td>

<td>E#

<td style="text-align: center;">E# (Fb)

</td>

<td>F

<td style="text-align: center;">F

</td>

<td>F#

<td style="text-align: center;">F#

</td>

<td>Gb

<td style="text-align: center;">Gb

</td>

<td>G

<td style="text-align: center;">G

</td>

<td>G#

<td style="text-align: center;">G#

</td>

<td>Ab

<td style="text-align: center;">Ab

</td>

<td>A

<td style="text-align: center;">A

</td>

<td>A#

<td style="text-align: center;">A#

</td>

<td>Bb

<td style="text-align: center;">Bb

</td>

<td>B

<td style="text-align: center;">B

</td>

<td>B#

<td style="text-align: center;">B# (Cb)

</td>

</tr>

</table>

(Other systems are of course possible, and may be preferred depending on the scales you are working with!)

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#.

Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!

<h1 id="~~toc1~~"><a name="Miscellaneous scales"></a>Miscellaneous scales</h1>

<h1 id="toc2"><a name="Miscellaneous scales"></a>Miscellaneous scales</h1>

2314144 - E# F# G# Ab B Cb D - Cartunes

1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation

<h1 id="~~toc2~~"><a name="MOS scales and modes of rank-2 temperaments"></a>MOS scales and modes of rank-2 temperaments</h1>

<h1 id="toc3"><a name="MOS scales and modes of rank-2 temperaments"></a>MOS scales and modes of rank-2 temperaments</h1>

<h2 id="~~toc3~~"><a name="MOS scales and modes of rank-2 temperaments-~~negri~~"></a><a class="wiki_link" href="/negri">~~negri~~</a></h2>

<h2 id="toc4"><a name="MOS scales and modes of rank-2 temperaments-Negri"></a><a class="wiki_link" href="/negri">Negri</a></h2>

negri[9] (<a class="wiki_link" href="/1L%208s">1L+8s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 17\19)

Line 321:

Line 409:

<tr>

<td>UDP

<th>UDP

</td>

</th>

<td>~~19edo~~ steps

<th>steps

</td>

</th>

<td>comments

<th>degrees

</td>

</th>

<th>note names

</th>

<th>comments

</th>

</tr>

<tr>

<td>8|0

</td>

<td>~~322222222~~

<td>3 2 2 2 2 2 2 2 2

</td>

<td>0 3 5 7 9 11 13 15 17

</td>

<td>C D Eb E# F# G Ab A# B

</td>

<td>

Line 339:

Line 435:

<td>7|1

</td>

<td>~~232222222~~

<td>2 3 2 2 2 2 2 2 2

</td>

<td>0 2 5 7 9 11 13 15 17

</td>

<td>C Db Eb E# F# G Ab A# B

</td>

<td>

Line 347:

Line 447:

<td>6|2

</td>

<td>~~223222222~~

<td>2 2 3 2 2 2 2 2 2

</td>

<td>0 2 4 7 9 11 13 15 17

</td>

<td>C Db D# E# F# G Ab A# B

</td>

<td>

Line 355:

Line 459:

<td>5|3

</td>

<td>~~222322222~~

<td>2 2 2 3 2 2 2 2 2

</td>

<td>0 2 4 6 9 11 13 15 17

</td>

<td>C Db D# E F# G Ab A# B

</td>

<td>

Line 363:

Line 471:

<td>4|4

</td>

<td>~~222232222~~

<td>2 2 2 2 3 2 2 2 2

</td>

<td>0 2 4 6 8 11 13 15 17

</td>

<td>C Db D# E F G Ab A# B

</td>

<td>symmetrical, has both 4/3 and 3/2

Line 371:

Line 483:

<td>3|5

</td>

<td>~~222223222~~

<td>2 2 2 2 2 3 2 2 2

</td>

<td>0 2 4 6 8 10 13 15 17

</td>

<td>C Db D# E F Gb Ab A# B

</td>

<td>

Line 379:

Line 495:

<td>2|6

</td>

<td>~~222222322~~

<td>2 2 2 2 2 2 3 2 2

</td>

<td>0 2 4 6 8 10 12 15 17

</td>

<td>C Db D# E F Gb G# A# B

</td>

<td>

Line 387:

Line 507:

<td>1|7

</td>

<td>~~222222232~~

<td>2 2 2 2 2 2 2 3 2

</td>

<td>0 2 4 6 8 10 12 14 17

</td>

<td>C Db D# E F Gb G# A B

</td>

<td>

Line 395:

Line 519:

<td>0|8

</td>

<td>~~222222223~~

<td>2 2 2 2 2 2 2 2 3

</td>

<td>0 2 4 6 8 10 12 14 16

</td>

<td>C Db D# E F Gb G# A Bb

</td>

<td>

Line 402:

Line 530:

</table>

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

Line 408:

Line 537:

<tr>

<td>UDP

<th>UDP

</td>

</th>

<td>~~19edo~~ steps

<th>steps

</td>

</th>

<td>~~comments~~

<th>degrees

</td>

</th>

<th>note names

</th>

</tr>

<tr>

<td>9|0

</td>

<td>~~2222222221~~

<td>2 2 2 2 2 2 2 2 2 1

</td>

<td>

<td>0 2 4 6 8 10 12 14 16 18

</td>

<td>C Db D# E F Gb G# A Bb B#

</td>

</tr>

Line 426:

Line 559:

<td>8|1

</td>

<td>~~2222222212~~

<td>2 2 2 2 2 2 2 2 1 2

</td>

<td>

<td>0 2 4 6 8 10 12 14 16 17

</td>

<td>C Db D# E F Gb G# A Bb B

</td>

</tr>

Line 434:

Line 569:

<td>7|2

</td>

<td>~~2222222122~~

<td>2 2 2 2 2 2 2 1 2 2

</td>

<td>0 2 4 6 8 10 12 14 15 17

</td>

<td>

<td>C Db D# E F Gb G# A A# B

</td>

</tr>

Line 442:

Line 579:

<td>6|3

</td>

<td>~~2222221222~~

<td>2 2 2 2 2 2 1 2 2 2

</td>

<td>

<td>0 2 4 6 8 10 12 13 15 17

</td>

<td>C Db D# E F Gb G# Ab A# B

</td>

</tr>

Line 450:

Line 589:

<td>5|4

</td>

<td>~~2222212222~~

<td>2 2 2 2 2 1 2 2 2 2

</td>

<td>0 2 4 6 8 10 11 13 15 17

</td>

<td>~~has both 4/3 and 3/2~~

<td>C Db D# E F Gb G Ab A# B

</td>

</tr>

Line 458:

Line 599:

<td>4|5

</td>

<td>~~2222122222~~

<td>2 2 2 2 1 2 2 2 2 2

</td>

<td>0 2 4 6 8 9 11 13 15 17

</td>

<td>~~has both 4/3 and 3/2~~

<td>C Db D# E F F# G Ab A# B

</td>

</tr>

Line 466:

Line 609:

<td>3|6

</td>

<td>~~2221222222~~

<td>2 2 2 1 2 2 2 2 2 2

</td>

<td>0 2 4 6 7 9 11 13 15 17

</td>

<td>

<td>C Db D# E E# F# G Ab A# B

</td>

</tr>

Line 474:

Line 619:

<td>2|7

</td>

<td>~~2212222222~~

<td>2 2 1 2 2 2 2 2 2 2

</td>

<td>

<td>0 2 4 5 7 9 11 13 15 17

</td>

<td>C Db D# Eb E# F# G Ab A# B

</td>

</tr>

Line 482:

Line 629:

<td>1|8

</td>

<td>~~2122222222~~

<td>2 1 2 2 2 2 2 2 2 2

</td>

<td>

<td>0 2 3 5 7 9 11 13 15 17

</td>

<td>C Db D Eb E# F# G Ab A# B

</td>

</tr>

Line 490:

Line 639:

<td>0|9

</td>

<td>~~1222222222~~

<td>1 2 2 2 2 2 2 2 2 2

</td>

<td>0 1 3 5 7 9 11 13 15 17

</td>

<td>

<td>C C# D Eb E# F# G Ab A# B

</td>

</tr>

Line 499:

Line 650:

<h2 id="~~toc4~~"><a name="MOS scales and modes of rank-2 temperaments-~~deutone~~"></a><a class="wiki_link" href="/deutone">~~deutone~~</a></h2>

<h2 id="toc5"><a name="MOS scales and modes of rank-2 temperaments-Deutone"></a><a class="wiki_link" href="/deutone">Deutone</a></h2>

(3\19; 9/8~10/9)

[6] 333334

Line 505:

Line 656:

[13] 2121212121211

<h2 id="~~toc5~~"><a name="MOS scales and modes of rank-2 temperaments-~~godzilla~~/~~semaphore~~"></a><a class="wiki_link" href="/Semaphore%20and%20Godzilla">~~godzilla~~/~~semaphore~~</a></h2>

<h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore"></a><a class="wiki_link" href="/Semaphore%20and%20Godzilla">Godzilla / Semaphore</a></h2>

[5] (<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)

godzilla[5] (<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)

Line 574:

Line 725:

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

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

Line 681:

Line 832:

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

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

Line 838:

Line 989:

<h2 id="~~toc6~~"><a name="MOS scales and modes of rank-2 temperaments-~~kleismic/hanson~~/~~etc~~"></a><a class="wiki_link" href="/Kleismic%20family">~~kleismic/hanson~~/~~etc~~</a></h2>

<h2 id="toc7"><a name="MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"></a><a class="wiki_link" href="/Kleismic%20family">Kleismic / Hanson</a></h2>

[7] (<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)

kleismic[7] (<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)

<tr>

<td>UDP

<th>UDP

</td>

</th>

<td>~~19edo~~ steps

<th>steps

</td>

</th>

<td>comments

<th>degrees

</td>

</th>

<th>note names

</th>

<th>comments

</th>

</tr>

<tr>

<td>6|0

</td>

<td>~~4414141~~

<td>4 4 1 4 1 4 1

</td>

<td>0 4 8 9 13 14 18

</td>

<td>C D# F F# Ab A B#

</td>

<td>has 4/3

Line 863:

Line 1,022:

<td>5|1

</td>

<td>~~4144141~~

<td>4 1 4 4 1 4 1

</td>

<td>0 4 5 9 13 14 18

</td>

<td>C D# Eb F# Ab A B#

</td>

<td>

Line 871:

Line 1,034:

<td>4|2

</td>

<td>~~4141441~~

<td>4 1 4 1 4 4 1

</td>

<td>0 4 5 9 10 14 18

</td>

<td>C D# Eb F# Gb A B#

</td>

<td>

Line 879:

Line 1,046:

<td>3|3

</td>

<td>~~4141414~~

<td>4 1 4 1 4 1 4

</td>

<td>0 4 5 9 10 14 15

</td>

<td>C D# Eb F# Gb A A#

</td>

<td>symmetrical

Line 887:

Line 1,058:

<td>2|4

</td>

<td>~~1441414~~

<td>1 4 4 1 4 1 4

</td>

<td>0 1 5 9 10 14 15

</td>

<td>C C# Eb F# Gb A A#

</td>

<td>

Line 895:

Line 1,070:

<td>1|5

</td>

<td>~~1414414~~

<td>1 4 1 4 4 1 4

</td>

<td>0 1 5 6 10 14 15

</td>

<td>C C# Eb E Gb A A#

</td>

<td>

Line 903:

Line 1,082:

<td>0|6

</td>

<td>~~1414144~~

<td>1 4 1 4 1 4 4

</td>

<td>0 1 5 6 10 11 15

</td>

<td>C C# Eb E Gb G A#

</td>

<td>has 3/2

Line 911:

Line 1,094:

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

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

<tr>

<td>UDP

<th>UDP

</td>

</th>

<td>~~19edo~~ steps

<th>steps

</td>

</th>

<td>comments

<th>degrees

</td>

</th>

<th>note names

</th>

<th>comments

</th>

</tr>

<tr>

<td>10|0

</td>

<td>~~31311311311~~

<td>3 1 3 1 1 3 1 1 3 1 1

</td>

<td>0 3 4 7 8 9 12 13 14 17 18

</td>

<td>C D D# E# F F# G# Ab A B B#

</td>

<td>

Line 934:

Line 1,125:

<td>9|1

</td>

<td>~~31131311311~~

<td>3 1 1 3 1 3 1 1 3 1 1

</td>

<td>0 3 4 5 8 9 12 13 14 17 18

</td>

<td>C D D# Eb F F# G# Ab A B B#

</td>

<td>

Line 942:

Line 1,137:

<td>8|2

</td>

<td>~~31131131311~~

<td>3 1 1 3 1 1 3 1 3 1 1

</td>

<td>0 3 4 5 8 9 10 13 14 17 18

</td>

<td>C D D# Eb F F# Gb Ab A B B#

</td>

<td>

Line 950:

Line 1,149:

<td>7|3

</td>

<td>~~31131131131~~

<td>3 1 1 3 1 1 3 1 1 3 1

</td>

<td>0 3 4 5 8 9 10 13 14 15 18

</td>

<td>C D D# Eb F F# Gb Ab A A# B#

</td>

<td>

Line 958:

Line 1,161:

<td>6|4

</td>

<td>~~13131131131~~

<td>1 3 1 3 1 1 3 1 1 3 1

</td>

<td>0 1 4 5 8 9 10 13 14 15 18

</td>

<td>C C# D# Eb F F# Gb Ab A A# B#

</td>

<td>

</td>

</tr>

<tr>

<td>5|5

</td>

<td>1 3 1 1 3 1 3 1 1 3 1

</td>

<td>0 1 4 5 6 9 10 13 14 15 18

</td>

<td>C C# D# Eb E F# Gb Ab A A# B#

</td>

<td>symmetrical, has neither 4/3 nor 3/2

</td>

</tr>

<tr>

<td>4|6

</td>

<td>1 3 1 1 3 1 1 3 1 3 1

</td>

<td>0 1 4 5 6 9 10 11 14 15 18

</td>

<td>C C# D# Eb E F# Gb G A A# B#

</td>

<td>

Line 964:

Line 1,195:

</tr>

<tr>

<td>5|5

<td>3|7

</td>

<td>~~13113131131~~

<td>1 3 1 1 3 1 1 3 1 1 3

</td>

<td>~~symmetrical, has neither~~ 4/3 ~~nor~~ 3/2

<td>0 1 4 5 6 9 10 11 14 15 16

</td>

<td>C C# D# Eb E F# Gb G A A# Bb

</td>

<td>

</td>

</tr>

<tr>

<td>2|8

</td>

<td>1 1 3 1 3 1 1 3 1 1 3

</td>

<td>0 1 2 5 6 9 10 11 14 15 16

</td>

<td>C C# Db Eb E F# Gb G A A# Bb

</td>

<td>

</td>

</tr>

<tr>

<td>1|9

</td>

<td>1 1 3 1 1 3 1 3 1 1 3

</td>

<td>0 1 2 5 6 7 10 11 14 15 16

</td>

<td>C C# Db Eb E E# Gb G A A# Bb

</td>

<td>

</td>

</tr>

<tr>

<td>0|10

</td>

<td>1 1 3 1 1 3 1 1 3 1 3

</td>

<td>0 1 2 5 6 7 10 11 12 15 16

</td>

<td>C C# Db Eb E E# Gb G G# A# Bb

</td>

<td>

</td>

</tr>

</table>

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

<tr>

<th>UDP

</th>

<th>steps

</th>

<th>degrees

</th>

<th>note names

</th>

</tr>

<tr>

<td>14|0

</td>

<td>2 1 1 2 1 1 1 2 1 1 1 2 1 1 1

</td>

<td>0 2 3 4 6 7 8 9 11 12 13 14 16 17 18

</td>

<td>C Db D D# E E# F F# G G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>13|1

</td>

<td>2 1 1 1 2 1 1 2 1 1 1 2 1 1 1

</td>

<td>0 2 3 4 5 7 8 9 11 12 13 14 16 17 18

</td>

<td>C Db D D# Eb E# F F# G G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>12|2

</td>

<td>2 1 1 1 2 1 1 1 2 1 1 2 1 1 1

</td>

<td>0 2 3 4 5 7 8 9 10 12 13 14 16 17 18

</td>

<td>C Db D D# Eb E# F F# Gb G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>11|3

</td>

<td>2 1 1 1 2 1 1 1 2 1 1 1 2 1 1

</td>

<td>0 2 3 4 5 7 8 9 10 12 13 14 15 17 18

</td>

<td>C Db D D# Eb E# F F# Gb G# Ab A A# B B#

</td>

</tr>

<tr>

<td>10|4

</td>

<td>1 2 1 1 2 1 1 1 2 1 1 1 2 1 1

</td>

<td>0 1 3 4 5 7 8 9 10 12 13 14 15 17 18

</td>

<td>C C# D D# Eb E# F F# Gb G# Ab A A# B B#

</td>

</tr>

<tr>

<td>9|5

</td>

<td>1 2 1 1 1 2 1 1 2 1 1 1 2 1 1

</td>

<td>0 1 3 4 5 6 8 9 10 12 13 14 15 17 18

</td>

<td>C C# D D# Eb E F F# Gb G# Ab A A# B B#

</td>

</tr>

<tr>

<td>8|6

</td>

<td>1 2 1 1 1 2 1 1 1 2 1 1 2 1 1

</td>

<td>0 1 3 4 5 6 8 9 10 11 13 14 15 17 18

</td>

<td>C C# D D# Eb E F F# Gb G Ab A A# B B#

</td>

</tr>

<tr>

<td>7|7

</td>

<td>1 2 1 1 1 2 1 1 1 2 1 1 1 2 1

</td>

<td>0 1 3 4 5 6 8 9 10 11 13 14 15 16 18

</td>

<td>C C# D D# Eb E F F# Gb G Ab A A# Bb B#

</td>

</tr>

<tr>

<td>6|8

</td>

<td>1 1 2 1 1 2 1 1 1 2 1 1 1 2 1

</td>

<td>0 1 2 4 5 6 8 9 10 11 13 14 15 16 18

</td>

<td>C C# Db D# Eb E F F# Gb G Ab A A# Bb B#

</td>

</tr>

<tr>

<td>5|9

</td>

<td>1 1 2 1 1 1 2 1 1 2 1 1 1 2 1

</td>

<td>0 1 2 4 5 6 7 9 10 11 13 14 15 16 18

</td>

<td>C C# Db D# Eb E E# F# Gb G Ab A A# Bb B#

</td>

</tr>

<tr>

<td>4|10

</td>

<td>1 1 2 1 1 1 2 1 1 1 2 1 1 2 1

</td>

<td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 18

</td>

<td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B#

</td>

</tr>

<tr>

<td>3|11

</td>

<td>1 1 2 1 1 1 2 1 1 1 2 1 1 1 2

</td>

<td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 17

</td>

<td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B

</td>

</tr>

<tr>

<td>2|12

</td>

<td>1 1 1 2 1 1 2 1 1 1 2 1 1 1 2

</td>

<td>0 1 2 3 5 6 7 9 10 11 12 14 15 16 17

</td>

<td>C C# Db D Eb E E# F# Gb G G# A A# Bb B

</td>

</tr>

<tr>

<td>1|13

</td>

<td>1 1 1 2 1 1 1 2 1 1 2 1 1 1 2

</td>

<td>0 1 2 3 5 6 7 8 10 11 12 14 15 16 17

</td>

<td>C C# Db D Eb E E# F Gb G G# A A# Bb B

</td>

</tr>

<tr>

<td>0|14

</td>

<td>1 1 1 2 1 1 1 2 1 1 1 2 1 1 2

</td>

<td>0 1 2 3 5 6 7 8 10 11 12 13 15 16 17

</td>

<td>C C# Db D Eb E E# F Gb G G# Ab A# Bb B

</td>

</tr>

</table>

<h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-Magic"></a><a class="wiki_link" href="/Magic">Magic</a></h2>

magic[7] (<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)

<tr>

<th>UDP

</th>

<th>steps

</th>

<th>degrees

</th>

<th>note names

</th>

</tr>

<tr>

<td>6|0

</td>

<td>5 1 5 1 5 1 1

</td>

<td>0 5 6 11 12 17 18

</td>

<td>C Eb E G G# B B#

</td>

</tr>

<tr>

<td>5|1

</td>

<td>5 1 5 1 1 5 1

</td>

<td>0 5 6 11 12 13 18

</td>

<td>C Eb E G G# Ab B#

</td>

</tr>

<tr>

<td>4|2

</td>

<td>5 1 1 5 1 5 1

</td>

<td>0 5 6 7 12 13 18

</td>

<td>C Eb E E# G# Ab B#

</td>

</tr>

<tr>

<td>3|3

</td>

<td>1 5 1 5 1 5 1

</td>

<td>0 1 6 7 12 13 18

</td>

<td>C C# E E# G# Ab B#

</td>

</tr>

<tr>

<td>2|4

</td>

<td>1 5 1 5 1 1 5

</td>

<td>0 1 6 7 12 13 14

</td>

<td>C C# E E# G# Ab A

</td>

</tr>

<tr>

<td>1|5

</td>

<td>1 5 1 1 5 1 5

</td>

<td>0 1 6 7 8 13 14

</td>

<td>C C# E E# F Ab A

</td>

</tr>

<tr>

<td>0|6

</td>

<td>1 1 5 1 5 1 5

</td>

<td>0 1 2 7 8 13 14

</td>

<td>C C# Db E# F Ab A

</td>

</tr>

</table>

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

<tr>

<th>UDP

</th>

<th>steps

</th>

<th>degrees

</th>

<th>note names

</th>

</tr>

<tr>

<td>9|0

</td>

<td>4 1 1 4 1 1 4 1 1 1

</td>

<td>0 4 5 6 10 11 12 16 17 18

</td>

<td>C D# Eb E Gb G G# Bb B B#

</td>

</tr>

<tr>

<td>8|1

</td>

<td>4 1 1 4 1 1 1 4 1 1

</td>

<td>0 4 5 6 10 11 12 13 17 18

</td>

<td>C D# Eb E Gb G G# Ab B B#

</td>

</tr>

<tr>

<td>7|2

</td>

<td>4 1 1 1 4 1 1 4 1 1

</td>

<td>0 4 5 6 7 11 12 13 17 18

</td>

<td>C D# Eb E E# G G# Ab B B#

</td>

</tr>

<tr>

<td>6|3

</td>

<td>1 4 1 1 4 1 1 4 1 1

</td>

<td>0 1 5 6 7 11 12 13 17 18

</td>

<td>C C# Eb E E# G G# Ab B B#

</td>

</tr>

<tr>

<td>5|4

</td>

<td>1 4 1 1 4 1 1 1 4 1

</td>

<td>0 1 5 6 7 11 12 13 14 18

</td>

<td>C C# Eb E E# G G# Ab A B#

</td>

</tr>

<tr>

<td>4|5

</td>

<td>1 4 1 1 1 4 1 1 4 1

</td>

<td>0 1 5 6 7 8 12 13 14 18

</td>

<td>C C# Eb E E# F G# Ab A B#

</td>

</tr>

<tr>

<td>3|6

</td>

<td>1 1 4 1 1 4 1 1 4 1

</td>

<td>0 1 2 6 7 8 12 13 14 18

</td>

<td>C C# Db E E# F G# Ab A B#

</td>

</tr>

<tr>

<td>2|7

</td>

<td>1 1 4 1 1 4 1 1 1 4

</td>

<td>0 1 2 6 7 8 12 13 14 15

</td>

<td>C C# Db E E# F G# Ab A A#

</td>

</tr>

<tr>

<td>1|8

</td>

<td>1 1 4 1 1 1 4 1 1 4

</td>

<td>0 1 2 6 7 8 9 13 14 15

</td>

<td>C C# Db E E# F F# Ab A A#

</td>

</tr>

<tr>

<td>0|9

</td>

<td>1 1 1 4 1 1 4 1 1 4

</td>

<td>0 1 2 3 7 8 9 13 14 15

</td>

<td>C C# Db D E# F F# Ab A A#

</td>

</tr>

</table>

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

<tr>

<th>UDP

</th>

<th>steps

</th>

<th>degrees

</th>

<th>note names

</th>

</tr>

<tr>

<td>12|0

</td>

<td>3 1 1 1 3 1 1 1 3 1 1 1 1

</td>

<td>0 3 4 5 6 9 10 11 12 15 16 17 18

</td>

<td>C D D# Eb E F# Gb G G# A# Bb B B#

</td>

</tr>

<tr>

<td>11|1

</td>

<td>3 1 1 1 3 1 1 1 1 3 1 1 1

</td>

<td>0 3 4 5 6 9 10 11 12 13 16 17 18

</td>

<td>C D D# Eb E F# Gb G G# Ab Bb B B#

</td>

</tr>

<tr>

<td>10|2

</td>

<td>3 1 1 1 1 3 1 1 1 3 1 1 1

</td>

<td>0 3 4 5 6 7 10 11 12 13 16 17 18

</td>

<td>C D D# Eb E E# Gb G G# Ab Bb B B#

</td>

</tr>

<tr>

<td>9|3

</td>

<td>1 3 1 1 1 3 1 1 1 3 1 1 1

</td>

<td>0 1 4 5 6 7 10 11 12 13 16 17 18

</td>

<td>C C# D# Eb E E# Gb G G# Ab Bb B B#

</td>

</tr>

<tr>

<td>8|4

</td>

<td>1 3 1 1 1 3 1 1 1 1 3 1 1

</td>

<td>0 1 4 5 6 7 10 11 12 13 14 17 18

</td>

<td>C C# D# Eb E E# Gb G G# Ab A B B#

</td>

</tr>

<tr>

<td>7|5

</td>

<td>1 3 1 1 1 1 3 1 1 1 3 1 1

</td>

<td>0 1 4 5 6 7 8 11 12 13 14 17 18

</td>

<td>C C# D# Eb E E# F G G# Ab A B B#

</td>

</tr>

<tr>

<td>6|6

</td>

<td>1 1 3 1 1 1 3 1 1 1 3 1 1

</td>

<td>0 1 2 5 6 7 8 11 12 13 14 17 18

</td>

<td>C C# Db Eb E E# F G G# Ab A B B#

</td>

</tr>

<tr>

<td>5|7

</td>

<td>1 1 3 1 1 1 3 1 1 1 1 3 1

</td>

<td>0 1 2 5 6 7 8 11 12 13 14 15 18

</td>

<td>C C# Db Eb E E# F G G# Ab A A# B#

</td>

</tr>

<tr>

<td>4|8

</td>

<td>1 1 3 1 1 1 1 3 1 1 1 3 1

</td>

<td>0 1 2 5 6 7 8 9 12 13 14 15 18

</td>

<td>C C# Db Eb E E# F F# G# Ab A A# B#

</td>

</tr>

<tr>

<td>3|9

</td>

<td>1 1 1 3 1 1 1 3 1 1 1 3 1

</td>

<td>0 1 2 3 6 7 8 9 12 13 14 15 18

</td>

<td>C C# Db D E E# F F# G# Ab A A# B#

</td>

</tr>

<tr>

<td>2|10

</td>

<td>1 1 1 3 1 1 1 3 1 1 1 1 3

</td>

<td>0 1 2 3 6 7 8 9 12 13 14 15 16

</td>

<td>C C# Db D E E# F F# G# Ab A A# Bb

</td>

</tr>

<tr>

<td>1|11

</td>

<td>1 1 1 3 1 1 1 1 3 1 1 1 3

</td>

<td>0 1 2 3 6 7 8 9 10 13 14 15 16

</td>

<td>C C# Db D E E# F F# Gb Ab A A# Bb

</td>

</tr>

<tr>

<td>0|12

</td>

<td>1 1 1 1 3 1 1 1 3 1 1 1 3

</td>

<td>0 1 2 3 4 7 8 9 10 13 14 15 16

</td>

<td>C C# Db D D# E# F F# Gb Ab A A# Bb

</td>

</tr>

</table>

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

<tr>

<th>UDP

</th>

<th>steps

</th>

<th>degrees

</th>

<th>note names

</th>

</tr>

<tr>

<td>15|0

</td>

<td>2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1

</td>

<td>0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18

</td>

<td>C Db D D# Eb E F F# Gb G G# A A# Bb B B#

</td>

</tr>

<tr>

<td>14|1

</td>

<td>2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1

</td>

<td>0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18

</td>

<td>C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#

</td>

</tr>

<tr>

<td>13|2

</td>

<td>2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1

</td>

<td>0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18

</td>

<td>C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#

</td>

</tr>

<tr>

<td>12|3

</td>

<td>1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1

</td>

<td>0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18

</td>

<td>C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#

</td>

</tr>

<tr>

<td>11|4

</td>

<td>1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1

</td>

<td>0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18

</td>

<td>C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>10|5

</td>

<td>1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1

</td>

<td>0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18

</td>

<td>C C# D D# Eb E E# F Gb G G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>9|6

</td>

<td>1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1

</td>

<td>0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18

</td>

<td>C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#

</td>

</tr>

<tr>

<td>8|7

</td>

<td>1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1

</td>

<td>0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18

</td>

<td>C C# Db D# Eb E E# F Gb G G# Ab A A# B B#

</td>

</tr>

<tr>

<td>7|8

</td>

<td>1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1

</td>

<td>0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18

</td>

<td>C C# Db D# Eb E E# F F# G G# Ab A A# B B#

</td>

</tr>

<tr>

<td>6|9

</td>

<td>1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1

</td>

<td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18

</td>

<td>C C# Db D Eb E E# F F# G G# Ab A A# B B#

</td>

</tr>

<tr>

<td>5|10

</td>

<td>1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1

</td>

<td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18

</td>

<td>C C# Db D Eb E E# F F# G G# Ab A A# Bb B#

</td>

</tr>

<tr>

<td>4|11

</td>

<td>1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1

</td>

<td>0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18

</td>

<td>C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#

</td>

</tr>

<tr>

<td>3|12

</td>

<td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1

</td>

<td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18

</td>

<td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#

</td>

</tr>

<tr>

<td>2|13

</td>

<~~/tr~~>

<td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2

<tr>

<td>~~4|6~~

</td>

<td>~~13113113131~~

<td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17

</td>

<td>

<td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B

</td>

</tr>

<tr>

<td>1|14

</~~td>~~

~~<td~~>~~13113113113~~

</td>

<td><~~br />~~

<td>1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2

~~&lt~~;~~/td~~>

</tr>

~~<tr>~~

~~<td>2|8~~

</td>

<td>~~11313113113~~

<td>0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17

</td>

<td>

<td>C C# Db D D# E E# F F# Gb G Ab A A# Bb B

</td>

</tr>

<tr>

<td>1|9

<td>0|15

</td>

<td>~~11311313113~~<~~br />~~

<td>1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2

~~</td>~~

~~<td&gt~~;

</~~td>~~

~~</tr>~~

~~<tr>~~

~~<td~~>~~0|10~~

</td>

<td>~~11311311313~~

<td>0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17

</td>

<td>

<td>C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B

</td>

</tr>

Line 1,014:

Line 1,943:

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

<h2 id="toc9"><a name="MOS scales and modes of rank-2 temperaments-Sensi"></a><a class="wiki_link" href="/sensi">Sensi</a></h2>

~~121112111211121 ~~

~~ ~~

<h2 id="~~toc7~~"><a name="MOS scales and modes of rank-2 temperaments-~~magic~~"></a><a class="wiki_link" href="/Magic">magic</a></h2>

~~(6\~~19~~; ~5/4) ~~

~~[7] 5151511 ~~

~~[10] 4114114111 ~~

~~[13] 3111311131111 ~~

~~[16] 2111121111211111 ~~

~~ ~~

~~<h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-sensi"></a><a class="wiki_link" href="/sensi">~~sensi</a></h2>

sensi[5] (<a class="wiki_link" href="/3L%202s">3L+2s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 12\19)

Line 1,319:

Line 2,237:

<h2 id="~~toc9~~"><a name="MOS scales and modes of rank-2 temperaments-~~meantone~~"></a><a class="wiki_link" href="/meantone">~~meantone~~</a></h2>

<h2 id="toc10"><a name="MOS scales and modes of rank-2 temperaments-Meantone"></a><a class="wiki_link" href="/meantone">Meantone</a></h2>

meantone[5] (<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)

Line 1,611:

Line 2,529:

</table>

~~Note: in 19edo, E#=Fb and B#=Cb; other notes are not enharmonic (for example, C# and Db are different). ~~

~~ ~~

<h2 id="~~toc10~~"><a name="MOS scales and modes of rank-2 temperaments-~~liese~~/~~triton~~"></a><a class="wiki_link" href="/Meantone%20family#Liese">~~liese~~</a>/<a class="wiki_link" href="/Marvel%20temperaments#Triton">~~triton~~</a></h2>

<h2 id="toc11"><a name="MOS scales and modes of rank-2 temperaments-Liese / Triton"></a><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)

[11] 51111511111

Line 1,622:

Line 2,538:

[17] 21111111211111111

/*<![CDATA[*/

document.write('<style type="text/css"> .wiki_table td { padding: ~~2px 10px~~; } <\/style>');

document.write('<style type="text/css"> .wiki_table td { padding: 1px 7px; } <\/style>');

/*]]>*/

</script></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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 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>
-<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=
+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=
@@ Line 19: / Line 22: @@
 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]]==
 **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)
-|| 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)
 **[6]** 333334
@@ Line 56: / Line 61: @@
 **[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 ||
 || 4|0 || 4 4 4 4 3 || 0 4 8 12 16 || C D# F G# Bb ||
@@ Line 66: / Line 71: @@
 || 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 ||
 || 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 ||
-**[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 ||
 || 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# ||
-==[[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)
@@ Line 168: / Line 241: @@
-==[[meantone]]==
+==[[meantone|Meantone]]==
 **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 ||   ||
 || 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)
 **[11]** 51111511111
@@ Line 213: / Line 284: @@
 **[17]** 21111111211111111
-[[media type="custom" key="24946768"]]</pre></div>
+[[media type="custom" key="24946792"]]</pre></div>
 <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;!-- 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;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;1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;1&lt;br /&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;3&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;3&lt;br /&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;5&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;5&lt;br /&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;7&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;7&lt;br /&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;9&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;9&lt;br /&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;11&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;11&lt;br /&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;13&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;13&lt;br /&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;15&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;15&lt;br /&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;17&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;17&lt;br /&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;/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;C#&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;C#&lt;br /&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;D&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;D&lt;br /&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;Eb&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Eb&lt;br /&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;E#&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;E# (Fb)&lt;br /&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;F#&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;F#&lt;br /&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;G&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;G&lt;br /&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;Ab&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Ab&lt;br /&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;A#&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;A#&lt;br /&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;B&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;B&lt;br /&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;/tr&gt;
 &lt;/table&gt;
-(Other systems are of course possible, and may be preferred depending on the scales you are working with!)&lt;br /&gt;
+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;!-- 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;
 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;
 &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;!-- 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;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;
@@ Line 321: / Line 409: @@
 &lt;table class="wiki_table"&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;td&gt;8|0&lt;br /&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;br /&gt;
@@ Line 339: / Line 435: @@
          &lt;td&gt;7|1&lt;br /&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;br /&gt;
@@ Line 347: / Line 447: @@
          &lt;td&gt;6|2&lt;br /&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;br /&gt;
@@ Line 355: / Line 459: @@
          &lt;td&gt;5|3&lt;br /&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;br /&gt;
@@ Line 363: / Line 471: @@
          &lt;td&gt;4|4&lt;br /&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;symmetrical, has both 4/3 and 3/2&lt;br /&gt;
@@ Line 371: / Line 483: @@
          &lt;td&gt;3|5&lt;br /&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;br /&gt;
@@ Line 379: / Line 495: @@
          &lt;td&gt;2|6&lt;br /&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;br /&gt;
@@ Line 387: / Line 507: @@
          &lt;td&gt;1|7&lt;br /&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;br /&gt;
@@ Line 395: / Line 519: @@
          &lt;td&gt;0|8&lt;br /&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;br /&gt;
@@ Line 402: / Line 530: @@
 &lt;/table&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;
@@ Line 408: / Line 537: @@
 &lt;table class="wiki_table"&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;td&gt;9|0&lt;br /&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;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;/tr&gt;
@@ Line 426: / Line 559: @@
          &lt;td&gt;8|1&lt;br /&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;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;/tr&gt;
@@ Line 434: / Line 569: @@
          &lt;td&gt;7|2&lt;br /&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;br /&gt;
+         &lt;td&gt;C Db D# E F Gb G# A A# B&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 442: / Line 579: @@
          &lt;td&gt;6|3&lt;br /&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;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;/tr&gt;
@@ Line 450: / Line 589: @@
          &lt;td&gt;5|4&lt;br /&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;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;/tr&gt;
@@ Line 458: / Line 599: @@
          &lt;td&gt;4|5&lt;br /&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;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;/tr&gt;
@@ Line 466: / Line 609: @@
          &lt;td&gt;3|6&lt;br /&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;br /&gt;
+         &lt;td&gt;C Db D# E E# F# G Ab A# B&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 474: / Line 619: @@
          &lt;td&gt;2|7&lt;br /&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;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;/tr&gt;
@@ Line 482: / Line 629: @@
          &lt;td&gt;1|8&lt;br /&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;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;/tr&gt;
@@ Line 490: / Line 639: @@
          &lt;td&gt;0|9&lt;br /&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;br /&gt;
+         &lt;td&gt;C C# D Eb E# F# G Ab A# B&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 499: / Line 650: @@
 &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;
 &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;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;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;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;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;!-- 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;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;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;td&gt;6|0&lt;br /&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;has 4/3&lt;br /&gt;
@@ Line 863: / Line 1,022: @@
          &lt;td&gt;5|1&lt;br /&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;br /&gt;
@@ Line 871: / Line 1,034: @@
          &lt;td&gt;4|2&lt;br /&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;br /&gt;
@@ Line 879: / Line 1,046: @@
          &lt;td&gt;3|3&lt;br /&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;symmetrical&lt;br /&gt;
@@ Line 887: / Line 1,058: @@
          &lt;td&gt;2|4&lt;br /&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;br /&gt;
@@ Line 895: / Line 1,070: @@
          &lt;td&gt;1|5&lt;br /&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;br /&gt;
@@ Line 903: / Line 1,082: @@
          &lt;td&gt;0|6&lt;br /&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;has 3/2&lt;br /&gt;
@@ Line 911: / Line 1,094: @@
 &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;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;td&gt;10|0&lt;br /&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;br /&gt;
@@ Line 934: / Line 1,125: @@
          &lt;td&gt;9|1&lt;br /&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;br /&gt;
@@ Line 942: / Line 1,137: @@
          &lt;td&gt;8|2&lt;br /&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;br /&gt;
@@ Line 950: / Line 1,149: @@
          &lt;td&gt;7|3&lt;br /&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;br /&gt;
@@ Line 958: / Line 1,161: @@
          &lt;td&gt;6|4&lt;br /&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;br /&gt;
@@ Line 964: / Line 1,195: @@
      &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;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;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;/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;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;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;/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;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;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;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;/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;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;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;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;/tr&gt;
@@ Line 1,014: / Line 1,943: @@
 &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;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;!-- 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;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;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;!-- 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;
 &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;br /&gt;
-&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24946768?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24946768&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;!-- this adds some padding to the tables for better readability --&gt;
+&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/24946792?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;24946792&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;!-- this adds some padding to the tables for better readability --&gt;
 &lt;script type="text/javascript"&gt;
 /*&lt;![CDATA[*/
-document.write('&lt;style type="text/css"&gt; .wiki_table td { padding: 2px 10px; } &lt;\/style&gt;');
+document.write('&lt;style type="text/css"&gt; .wiki_table td { padding: 1px 7px; } &lt;\/style&gt;');
 /*]]&gt;*/
 &lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>