19edo modes

IMPORTED REVISION FROM WIKISPACES

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

=Note names in 19edo= 
The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):
||= 0 ||= 1 ||= 2 ||= 3 ||= 4 ||= 5 ||= 6 ||= 7 ||= 8 ||= 9 ||= 10 ||= 11 ||= 12 ||= 13 ||= 14 ||= 15 ||= 16 ||= 17 ||= 18 ||
||= C ||= C# ||= Db ||= D ||= D# ||= Eb ||= E ||= E# (Fb) ||= F ||= F# ||= Gb ||= G ||= G# ||= Ab ||= A ||= A# ||= Bb ||= B ||= B# (Cb) ||
Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in "standard" notation; for example; Fx=F##=Gb and Bbb=A#.

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


=Miscellaneous scales= 

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


=MOS scales and modes of rank-2 temperaments= 

==[[negri|Negri]]== 

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


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


==[[deutone|Deutone]]== 

**deutone[6]** ([[1L 5s|1L+5s ]]/ [[Modal UDP Notation|chroma-positive generator]] = 16\19)
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 5|0 || 4 3 3 3 3 3 || 0 4 7 10 13 16 || C D# E# Gb Ab Bb ||
|| 4|1 || 3 4 3 3 3 3 || 0 3 7 10 13 16 || C D E# Gb Ab Bb ||
|| 3|2 || 3 3 4 3 3 3 || 0 3 6 10 13 16 || C D E Gb Ab Bb ||
|| 2|3 || 3 3 3 4 3 3 || 0 3 6 9 13 16 || C D E F# Ab Bb ||
|| 1|4 || 3 3 3 3 4 3 || 0 3 6 9 12 16 || C D E F# G# Bb ||
|| 0|5 || 3 3 3 3 3 4 || 0 3 6 9 12 15 || C D E F# G# A# ||

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

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


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

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

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

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

==[[Kleismic family|Kleismic / Hanson]]== 

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

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

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


==[[Magic]]== 

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

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

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

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

==[[sensi|Sensi]]== 

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

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

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


==[[meantone|Meantone]]== 

**meantone[5]** ([[2L 3s|2L+3s]] / [[Modal UDP Notation|chroma-positive generator]] = 8\19 ~= 4/3)
||~ UDP ||~ steps ||~ degrees ||~ note names ||~ comments ||
|| 4|0 || 5 3 5 3 3 || 0 5 8 13 16 || C Eb F Ab Bb ||   ||
|| 3|1 || 5 3 3 5 3 || 0 5 8 11 16 || C Eb F G Bb || minor pentatonic ||
|| 2|2 || 3 5 3 5 3 || 0 3 8 11 16 || C D F G Bb ||   ||
|| 1|3 || 3 5 3 3 5 || 0 3 8 11 14 || C D F G A ||   ||
|| 0|4 || 3 3 5 3 5 || 0 3 6 11 14 || C D E G A || major pentatonic ||

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

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

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

**liese[5]** ([[2L 3s|2L+3s]] / [[Modal UDP Notation|chroma-positive generator]] = 9\19 ~= 7/5)
||~ UDP ||~ steps ||~ degrees ||~ note names ||
|| 4|0 || 8 1 8 1 1 || 0 8 9 17 18 || C F F# B B# ||
|| 3|1 || 8 1 1 8 1 || 0 8 9 10 18 || C F F# Gb B# ||
|| 2|2 || 1 8 1 8 1 || 0 1 9 10 18 || C C# F# Gb B# ||
|| 1|3 || 1 8 1 1 8 || 0 1 9 10 11 || C C# F# Gb G ||
|| 0|4 || 1 1 8 1 8 || 0 1 2 10 11 || C C# Db Gb G ||

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

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

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

MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern:
**[13]** 4111114111111
**[15]** 311111131111111
**[17]** 21111111211111111





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

Original HTML content:

<html><head><title>19edo Modes</title></head><body><!-- ws:start:WikiTextTocRule:23:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --><div style="margin-left: 1em;"><a href="#Note names in 19edo">Note names in 19edo</a></div>
<!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 1em;"><a href="#Miscellaneous scales">Miscellaneous scales</a></div>
<!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#MOS scales and modes of rank-2 temperaments">MOS scales and modes of rank-2 temperaments</a></div>
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Negri">Negri</a></div>
<!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Deutone">Deutone</a></div>
<!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore">Godzilla / Semaphore</a></div>
<!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Kleismic / Hanson">Kleismic / Hanson</a></div>
<!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Magic">Magic</a></div>
<!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Sensi">Sensi</a></div>
<!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Meantone">Meantone</a></div>
<!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Liese / Triton">Liese / Triton</a></div>
<!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --></div>
<!-- ws:end:WikiTextTocRule:35 -->Some scales and modes available in <a class="wiki_link" href="/19edo">19edo</a>. Please add more, discovered or newly-composed!<br />
<br />
<!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Note names in 19edo"></a><!-- ws:end:WikiTextHeadingRule:1 -->Note names in 19edo</h1>
 The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):<br />


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

Note that E#=Fb and B#=Cb, but other notes are not enharmonic (for example, C# and Db are different; and E# is not the same as F). Double flats and sharps may be used as in &quot;standard&quot; notation; for example; Fx=F##=Gb and Bbb=A#.<br />
<br />
Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Miscellaneous scales"></a><!-- ws:end:WikiTextHeadingRule:3 -->Miscellaneous scales</h1>
 <br />
2314144 - E# F# G# Ab B Cb D - Cartunes<br />
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation<br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="MOS scales and modes of rank-2 temperaments"></a><!-- ws:end:WikiTextHeadingRule:5 -->MOS scales and modes of rank-2 temperaments</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="MOS scales and modes of rank-2 temperaments-Negri"></a><!-- ws:end:WikiTextHeadingRule:7 --><a class="wiki_link" href="/negri">Negri</a></h2>
 <br />
<strong>negri[9]</strong> (<a class="wiki_link" href="/1L%208s">1L+8s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 17\19)<br />


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

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


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

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="MOS scales and modes of rank-2 temperaments-Deutone"></a><!-- ws:end:WikiTextHeadingRule:9 --><a class="wiki_link" href="/deutone">Deutone</a></h2>
 <br />
<strong>deutone[6]</strong> (<a class="wiki_link" href="/1L%205s">1L+5s </a>/ <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 16\19)<br />


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

<br />
<strong>deutone[7]</strong> (<a class="wiki_link" href="/6L%201s">6L+1s </a>/ CPG = 3\19)<br />


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

<br />
<strong>deutone[13]</strong> (<a class="wiki_link" href="/6L%207s">6L+7s </a>/ CPG = 3\19)<br />


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

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


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

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


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

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


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

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


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

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


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

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


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

<br />
<br />
<!-- ws:start:WikiTextHeadingRule:15:&lt;h2&gt; --><h2 id="toc7"><a name="MOS scales and modes of rank-2 temperaments-Magic"></a><!-- ws:end:WikiTextHeadingRule:15 --><a class="wiki_link" href="/Magic">Magic</a></h2>
 <br />
<strong>magic[7]</strong> (<a class="wiki_link" href="/3L%204s">3L+4s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 6\19 ~=5/4)<br />


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

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


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

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


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

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


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

<br />
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-Sensi"></a><!-- ws:end:WikiTextHeadingRule:17 --><a class="wiki_link" href="/sensi">Sensi</a></h2>
 <br />
<strong>sensi[5]</strong> (<a class="wiki_link" href="/3L%202s">3L+2s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 12\19)<br />


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

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


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

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


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

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


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td>4|0<br />
</td>
        <td>5 3 5 3 3<br />
</td>
        <td>0 5 8 13 16<br />
</td>
        <td>C Eb F Ab Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>5 3 3 5 3<br />
</td>
        <td>0 5 8 11 16<br />
</td>
        <td>C Eb F G Bb<br />
</td>
        <td>minor pentatonic<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>3 5 3 5 3<br />
</td>
        <td>0 3 8 11 16<br />
</td>
        <td>C D F G Bb<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>3 5 3 3 5<br />
</td>
        <td>0 3 8 11 14<br />
</td>
        <td>C D F G A<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>3 3 5 3 5<br />
</td>
        <td>0 3 6 11 14<br />
</td>
        <td>C D E G A<br />
</td>
        <td>major pentatonic<br />
</td>
    </tr>
</table>

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


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
        <th>mode name<br />
</th>
    </tr>
    <tr>
        <td>6|0<br />
</td>
        <td>3 3 3 2 3 3 2<br />
</td>
        <td>0 3 6 9 11 14 17<br />
</td>
        <td>C D E F# G A B<br />
</td>
        <td>Lydian<br />
</td>
    </tr>
    <tr>
        <td>5|1<br />
</td>
        <td>3 3 2 3 3 3 2<br />
</td>
        <td>0 3 6 8 11 14 17<br />
</td>
        <td>C D E F G A B<br />
</td>
        <td>Ionian<br />
</td>
    </tr>
    <tr>
        <td>4|2<br />
</td>
        <td>3 3 2 3 3 2 3<br />
</td>
        <td>0 3 6 8 11 14 16<br />
</td>
        <td>C D E F G A Bb<br />
</td>
        <td>Mixolydian<br />
</td>
    </tr>
    <tr>
        <td>3|3<br />
</td>
        <td>3 2 3 3 3 2 3<br />
</td>
        <td>0 3 5 8 11 14 16<br />
</td>
        <td>C D Eb F G A Bb<br />
</td>
        <td>Dorian<br />
</td>
    </tr>
    <tr>
        <td>2|4<br />
</td>
        <td>3 2 3 3 2 3 3<br />
</td>
        <td>0 3 5 8 11 13 16<br />
</td>
        <td>C D Eb F G Ab Bb<br />
</td>
        <td>Aeolian<br />
</td>
    </tr>
    <tr>
        <td>1|5<br />
</td>
        <td>2 3 3 3 2 3 3<br />
</td>
        <td>0 2 5 8 11 13 16<br />
</td>
        <td>C Db Eb F G Ab Bb<br />
</td>
        <td>Phrygian<br />
</td>
    </tr>
    <tr>
        <td>0|6<br />
</td>
        <td>2 3 3 2 3 3 3<br />
</td>
        <td>0 2 5 8 10 13 16<br />
</td>
        <td>C Db Eb F Gb Ab Bb<br />
</td>
        <td>Locrian<br />
</td>
    </tr>
</table>

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


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

<br />
<!-- ws:start:WikiTextHeadingRule:21:&lt;h2&gt; --><h2 id="toc10"><a name="MOS scales and modes of rank-2 temperaments-Liese / Triton"></a><!-- ws:end:WikiTextHeadingRule:21 --><a class="wiki_link" href="/Meantone%20family#Liese">Liese</a> / <a class="wiki_link" href="/Marvel%20temperaments#Triton">Triton</a></h2>
 <br />
<strong>liese[5]</strong> (<a class="wiki_link" href="/2L%203s">2L+3s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 9\19 ~= 7/5)<br />


<table class="wiki_table">
    <tr>
        <th>UDP<br />
</th>
        <th>steps<br />
</th>
        <th>degrees<br />
</th>
        <th>note names<br />
</th>
    </tr>
    <tr>
        <td>4|0<br />
</td>
        <td>8 1 8 1 1<br />
</td>
        <td>0 8 9 17 18<br />
</td>
        <td>C F F# B B#<br />
</td>
    </tr>
    <tr>
        <td>3|1<br />
</td>
        <td>8 1 1 8 1<br />
</td>
        <td>0 8 9 10 18<br />
</td>
        <td>C F F# Gb B#<br />
</td>
    </tr>
    <tr>
        <td>2|2<br />
</td>
        <td>1 8 1 8 1<br />
</td>
        <td>0 1 9 10 18<br />
</td>
        <td>C C# F# Gb B#<br />
</td>
    </tr>
    <tr>
        <td>1|3<br />
</td>
        <td>1 8 1 1 8<br />
</td>
        <td>0 1 9 10 11<br />
</td>
        <td>C C# F# Gb G<br />
</td>
    </tr>
    <tr>
        <td>0|4<br />
</td>
        <td>1 1 8 1 8<br />
</td>
        <td>0 1 2 10 11<br />
</td>
        <td>C C# Db Gb G<br />
</td>
    </tr>
</table>

<br />
<strong>liese[7]</strong> (<a class="wiki_link" href="/2L%205s">2L+5s</a> / CPG = 9\19)<br />


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

<br />
<strong>liese[9]</strong> (<a class="wiki_link" href="/2L%207s">2L+7s</a> / CPG = 9\19)<br />


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

<br />
<strong>liese[11]</strong> (<a class="wiki_link" href="/2L%209s">2L+9s</a> / CPG = 9\19)<br />


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

<br />
MOS scales of sizes 13, 15, and 17 also exist, and follow a similar pattern:<br />
<strong>[13]</strong> 4111114111111<br />
<strong>[15]</strong> 311111131111111<br />
<strong>[17]</strong> 21111111211111111<br />
<br />
<br />
<br />
<br />
<br />
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