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19edo modes: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
Some scales and modes available in [[19edo]]. Please add more, discovered or newly-composed! See also [[19edo#Scales]].
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-01-20 22:27:55 UTC</tt>.<br>
: The original revision id was <tt>484153378</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Some modes available in [[19edo]]. Please add more, discovered or newly-composed!


=MOS scales of rank-2 temperaments=  
== Note names in 19edo ==
The charts below primarily use the following note names (based on standard meantone/Pythagorean notation):


==[[negri]]==
{| class="wikitable" style="text-align: center;"
(2\19; 16/15~15/14)
|-
**[9]** 222222223
! 0
**[10]** 2222222221
! 1
! 2
! 3
! 4
! 5
! 6
! 7
! 8
! 9
! 10
! 11
! 12
! 13
! 14
! 15
! 16
! 17
! 18
|-
| C
| Ç


==[[deutone]]==
C# (<span style="font-size: calc(40px / 3);">Δb)</span>
(3\19; 9/8~10/9)
| <span style="display: block; text-align: center;"><span style="font-size: calc(40px / 3);">Δ</span></span><span style="display: block; text-align: center;">Ç# (Db)</span>
**[6]** 333334
| D
**[7]** 3333331
| Þ
**[13]** 2121212121211


==[[Semaphore and Godzilla|godzilla/semaphore]]==
D# (<span style="font-size: calc(40px / 3);">εb, Sb)</span>
(4\19; 8/7~7/6)
| <span style="font-size: calc(40px / 3);">ε, S</span>
**[5]** 44443
**[9]** 131313133


==[[Kleismic family|kleismic/hanson/etc]]==
<span style="display: block; text-align: center;">Þ# (Eb)</span>
(5\19; ~6/5)
| E
**[7]** 1414144
| E# (Fb)
**[11]** 11311311313
| F
| ϕ


==[[Magic|magic]]==
F# (Γb)
(6\19; ~5/4)
| <span style="display: block; text-align: center;">Γ</span>ϕ# (Gb)
**[7]** 5151511
| G
**[10]** 4114114111
| Z
**[13]** 3111311131111
**[16]** 2111121111211111


==[[sensi]]==
G# (<span style="font-size: calc(40px / 3);">αb)</span>
(7\19; 9/7~13/10)
| <span style="display: block; font-size: calc(40px / 3); text-align: center;">α</span><span style="line-height: 1.5;">Z# (</span>Ab)
**[5]** 25255
| A
**[8]** 22322323
| Æ
**[11]** 22212221221


==[[meantone]]==  
A# (βb, Bb)
(8\19; ~4/3)
| <span style="display: block; text-align: center;">Æ#</span><span style="display: block; text-align: center;">β ,B(b)</span>
**[5]** 53533
| B, H
**[7]** 2332333
| B#, H# (Cb)
**[12]** 221212212121
|}
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#.


==[[Meantone family#Liese|liese]]/[[Marvel temperaments#Triton|triton]]==  
Other systems of notation are of course possible, and may be preferred depending on the scales you are working with!
(9\19; ~7/5)
 
**[11]** 51111511111
== MOS scales and modes of rank-2 temperaments ==
**[13]** 4111114111111
=== [[Meantone|Meantone]] ===
**[15]** 311111131111111
'''meantone[5]''' ([[2L&nbsp;3s]] / [[Modal_UDP_Notation|chroma-positive generator]] = 8\19 ~= 4/3)
**[17]** 21111111211111111</pre></div>
 
<h4>Original HTML content:</h4>
{| class="wikitable"
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;19edo Modes&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Some modes available in &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;. Please add more, discovered or newly-composed!&lt;br /&gt;
|-
&lt;br /&gt;
! UDP
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MOS scales of rank-2 temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;MOS scales of rank-2 temperaments&lt;/h1&gt;
! Steps
&lt;br /&gt;
! Degrees
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="MOS scales of rank-2 temperaments-negri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/negri"&gt;negri&lt;/a&gt;&lt;/h2&gt;
! Note names
(2\19; 16/15~15/14)&lt;br /&gt;
! Comments
&lt;strong&gt;[9]&lt;/strong&gt; 222222223&lt;br /&gt;
! Audio
&lt;strong&gt;[10]&lt;/strong&gt; 2222222221&lt;br /&gt;
|-
&lt;br /&gt;
| 4{{pipe}}0
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="MOS scales of rank-2 temperaments-deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/deutone"&gt;deutone&lt;/a&gt;&lt;/h2&gt;
| 5 3 5 3 3
(3\19; 9/8~10/9)&lt;br /&gt;
| 0 5 8 13 16
&lt;strong&gt;[6]&lt;/strong&gt; 333334&lt;br /&gt;
| C Eb F Ab Bb
&lt;strong&gt;[7]&lt;/strong&gt; 3333331&lt;br /&gt;
| minor pentatonic (2)
&lt;strong&gt;[13]&lt;/strong&gt; 2121212121211&lt;br /&gt;
| [[File:Minor 2 Pentatonic (19-EDO).mp3|frameless]]
&lt;br /&gt;
|-
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="MOS scales of rank-2 temperaments-godzilla/semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;a class="wiki_link" href="/Semaphore%20and%20Godzilla"&gt;godzilla/semaphore&lt;/a&gt;&lt;/h2&gt;
| 3{{pipe}}1
(4\19; 8/7~7/6)&lt;br /&gt;
| 5 3 3 5 3
&lt;strong&gt;[5]&lt;/strong&gt; 44443&lt;br /&gt;
| 0 5 8 11 16
&lt;strong&gt;[9]&lt;/strong&gt; 131313133&lt;br /&gt;
| C Eb F G Bb
&lt;br /&gt;
| minor pentatonic
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="MOS scales of rank-2 temperaments-kleismic/hanson/etc"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;a class="wiki_link" href="/Kleismic%20family"&gt;kleismic/hanson/etc&lt;/a&gt;&lt;/h2&gt;
| [[File:Minor Pentatonic (19-EDO).mp3|frameless]]
(5\19; ~6/5)&lt;br /&gt;
|-
&lt;strong&gt;[7]&lt;/strong&gt; 1414144&lt;br /&gt;
| 2{{pipe}}2
&lt;strong&gt;[11]&lt;/strong&gt; 11311311313&lt;br /&gt;
| 3 5 3 5 3
&lt;br /&gt;
| 0 3 8 11 16
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="MOS scales of rank-2 temperaments-magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;a class="wiki_link" href="/Magic"&gt;magic&lt;/a&gt;&lt;/h2&gt;
| C D F G Bb
(6\19; ~5/4)&lt;br /&gt;
| "mixolydian" pentatonic
&lt;strong&gt;[7]&lt;/strong&gt; 5151511&lt;br /&gt;
| [[File:Mixolydian Pentatonic (19-EDO).mp3|frameless]]
&lt;strong&gt;[10]&lt;/strong&gt; 4114114111&lt;br /&gt;
|-
&lt;strong&gt;[13]&lt;/strong&gt; 3111311131111&lt;br /&gt;
| 1{{pipe}}3
&lt;strong&gt;[16]&lt;/strong&gt; 2111121111211111&lt;br /&gt;
| 3 5 3 3 5
&lt;br /&gt;
| 0 3 8 11 14
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="MOS scales of rank-2 temperaments-sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;&lt;a class="wiki_link" href="/sensi"&gt;sensi&lt;/a&gt;&lt;/h2&gt;
| C D F G A
(7\19; 9/7~13/10)&lt;br /&gt;
| "suspended" pentatonic
&lt;strong&gt;[5]&lt;/strong&gt; 25255&lt;br /&gt;
| [[File:Suspended Pentatonic (19-EDO).mp3|frameless]]
&lt;strong&gt;[8]&lt;/strong&gt; 22322323&lt;br /&gt;
|-
&lt;strong&gt;[11]&lt;/strong&gt; 22212221221&lt;br /&gt;
| 0{{pipe}}4
&lt;br /&gt;
| 3 3 5 3 5
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="MOS scales of rank-2 temperaments-meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt;&lt;/h2&gt;
| 0 3 6 11 14
(8\19; ~4/3)&lt;br /&gt;
| C D E G A
&lt;strong&gt;[5]&lt;/strong&gt; 53533&lt;br /&gt;
| major pentatonic
&lt;strong&gt;[7]&lt;/strong&gt; 2332333&lt;br /&gt;
| [[File:Major Pentatonic (19-EDO).mp3|frameless]]
&lt;strong&gt;[12]&lt;/strong&gt; 221212212121&lt;br /&gt;
|}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="MOS scales of rank-2 temperaments-liese/triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;a class="wiki_link" href="/Meantone%20family#Liese"&gt;liese&lt;/a&gt;/&lt;a class="wiki_link" href="/Marvel%20temperaments#Triton"&gt;triton&lt;/a&gt;&lt;/h2&gt;
'''meantone[7]''' ([[5L&nbsp;2s]] / CPG = 11\19 ~= 3/2)
(9\19; ~7/5)&lt;br /&gt;
 
&lt;strong&gt;[11]&lt;/strong&gt; 51111511111&lt;br /&gt;
{| class="wikitable"
&lt;strong&gt;[13]&lt;/strong&gt; 4111114111111&lt;br /&gt;
|-
&lt;strong&gt;[15]&lt;/strong&gt; 311111131111111&lt;br /&gt;
! UDP
&lt;strong&gt;[17]&lt;/strong&gt; 21111111211111111&lt;/body&gt;&lt;/html&gt;</pre></div>
! Steps
! Degrees
! Note names
! Mode name
! Audio
|-
| 6{{pipe}}0
| 3 3 3 2 3 3 2
| 0 3 6 9 11 14 17
| C D E F# G A B
| Lydian
| [[File:Lydian (19-EDO).mp3|frameless]]
|-
| 5{{pipe}}1
| 3 3 2 3 3 3 2
| 0 3 6 8 11 14 17
| C D E F G A B
| Ionian
| [[File:Ionian (19-EDO).mp3|frameless]]
|-
| 4{{pipe}}2
| 3 3 2 3 3 2 3
| 0 3 6 8 11 14 16
| C D E F G A Bb
| Mixolydian
| [[File:Mixolydian (19-EDO).mp3|frameless]]
|-
| 3{{pipe}}3
| 3 2 3 3 3 2 3
| 0 3 5 8 11 14 16
| C D Eb F G A Bb
| Dorian
| [[File:Dorian (19-EDO).mp3|frameless]]
|-
| 2{{pipe}}4
| 3 2 3 3 2 3 3
| 0 3 5 8 11 13 16
| C D Eb F G Ab Bb
| Aeolian
| [[File:Aeolian (19-EDO).mp3|frameless]]
|-
| 1{{pipe}}5
| 2 3 3 3 2 3 3
| 0 2 5 8 11 13 16
| C Db Eb F G Ab Bb
| Phrygian
| [[File:Phrygian (19-EDO).mp3|frameless]]
|-
| 0{{pipe}}6
| 2 3 3 2 3 3 3
| 0 2 5 8 10 13 16
| C Db Eb F Gb Ab Bb
| Locrian
| [[File:Locrian (19-EDO).mp3|frameless]]
|}
 
'''meantone[12]''' ([[7L&nbsp;5s]] / CPG = 8\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
! Comments
|-
| 11{{pipe}}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#
 
C <span style="font-size: calc(40px / 3);">Δ </span>Þ S E# F Γ Z <span style="font-size: calc(40px / 3);">α Æ </span>β B#
|
|-
| 10{{pipe}}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#
 
C <span style="font-size: calc(40px / 3);">Δ </span>Þ S E# F Γ G <span style="font-size: calc(40px / 3);">α Æ </span>β B#
|
|-
| 9{{pipe}}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#
 
C <span style="font-size: calc(40px / 3);">Δ D</span> S E# F Γ G <span style="font-size: calc(40px / 3);">α Æ </span>β B#
|
|-
| 8{{pipe}}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#
 
C <span style="font-size: calc(40px / 3);">Δ D</span> S E# F Γ G <span style="font-size: calc(40px / 3);">α A </span>β B#
|
|-
| 7{{pipe}}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#
 
C <span style="font-size: calc(40px / 3);">Δ D</span> S E F Γ G <span style="font-size: calc(40px / 3);">α A </span>β B#
|
|-
| 6{{pipe}}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
 
C <span style="font-size: calc(40px / 3);">Δ D</span> S E F Γ G <span style="font-size: calc(40px / 3);">α A </span>β B
| Yasser's Supradiatonic
 
(<span style="line-height: 1.5;">twelfths of 12-5 chords form C Ionian mode, </span>elevenths of 11-4 chords form C Aeolian mode<span style="line-height: 1.5;">)</span>
|-
| 5{{pipe}}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
 
C <span style="font-size: calc(40px / 3);">Δ D</span> S E F ϕ G <span style="font-size: calc(40px / 3);">α A </span>β B
| fifths of 12-5 chords form C Ionian mode
|-
| 4{{pipe}}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
 
C Ç<span style="font-size: calc(40px / 3); line-height: 1.5;"> D</span><span style="line-height: 1.5;"> S E F ϕ G </span><span style="font-size: calc(40px / 3); line-height: 1.5;">α A </span><span style="line-height: 1.5;">β B</span>
| octaves of 11-5 chords form C Mixolydian mode
|-
| 3{{pipe}}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
 
C Ç<span style="font-size: calc(40px / 3);"> D</span> S E F ϕ G Z<span style="font-size: calc(40px / 3);"> A </span>β B
|
|-
| 2{{pipe}}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
 
C Ç<span style="font-size: calc(40px / 3);"> D</span> Þ E F ϕ G Z<span style="font-size: calc(40px / 3);"> A </span>β B
| octaves of 12-5 chords form C Ionian mode
|-
| 1{{pipe}}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
 
C Ç<span style="font-size: calc(40px / 3);"> D</span> Þ E F ϕ G Z A<span style="font-size: calc(40px / 3);"> Æ B</span>
| roots of 12-5 chords form C Ionian mode
|-
| 0{{pipe}}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
 
C Ç<span style="font-size: calc(40px / 3);"> D</span> Þ E Fb ϕ G Z A<span style="font-size: calc(40px / 3);"> Æ B</span>
|
|}
 
=== [[Negri|Negri]] ===
'''negri[9]''' ([[1L&nbsp;8s]] / [[Modal_UDP_Notation|chroma-positive generator]] = 17\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
! Comments
|-
| 8{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;1s]] / CPG = 2\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 9{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;5s ]]/ [[Modal_UDP_Notation|chroma-positive generator]] = 16\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 5{{pipe}}0
| 4 3 3 3 3 3
| 0 4 7 10 13 16
| C D# E# Gb Ab Bb
|-
| 4{{pipe}}1
| 3 4 3 3 3 3
| 0 3 7 10 13 16
| C D E# Gb Ab Bb
|-
| 3{{pipe}}2
| 3 3 4 3 3 3
| 0 3 6 10 13 16
| C D E Gb Ab Bb
|-
| 2{{pipe}}3
| 3 3 3 4 3 3
| 0 3 6 9 13 16
| C D E F# Ab Bb
|-
| 1{{pipe}}4
| 3 3 3 3 4 3
| 0 3 6 9 12 16
| C D E F# G# Bb
|-
| 0{{pipe}}5
| 3 3 3 3 3 4
| 0 3 6 9 12 15
| C D E F# G# A#
|}
 
'''deutone[7]''' ([[6L&nbsp;1s]]/ CPG = 3\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 6{{pipe}}0
| 3 3 3 3 3 3 1
| 0 3 6 9 12 15 18
| C D E F# G# A# B#
|-
| 5{{pipe}}1
| 3 3 3 3 3 1 3
| 0 3 6 9 12 15 16
| C D E F# G# A# Bb
|-
| 4{{pipe}}2
| 3 3 3 3 1 3 3
| 0 3 6 9 12 13 16
| C D E F# G# Ab Bb
|-
| 3{{pipe}}3
| 3 3 3 1 3 3 3
| 0 3 6 9 10 13 16
| C D E F# Gb Ab Bb
|-
| 2{{pipe}}4
| 3 3 1 3 3 3 3
| 0 3 6 7 10 13 16
| C D E E# Gb Ab Bb
|-
| 1{{pipe}}5
| 3 1 3 3 3 3 3
| 0 3 4 7 10 13 16
| C D D# E# Gb Ab Bb
|-
| 0{{pipe}}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&nbsp;7s]]/ CPG = 3\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 12{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;1s]]/ [[Modal_UDP_Notation|chroma-positive generator]] = 4\19 ~= 8/7 ~= 7/6)
 
{| class="wikitable"
|-
! UDP
! Mode steps
! Mode degrees
! Note names
|-
| 4{{pipe}}0
| 4 4 4 4 3
| 0 4 8 12 16
| C D# F G# Bb
|-
| 3{{pipe}}1
| 4 4 4 3 4
| 0 4 8 12 15
| C D# F G# A#
|-
| 2{{pipe}}2
| 4 4 3 4 4
| 0 4 8 11 15
| C D# F G A#
|-
| 1{{pipe}}3
| 4 3 4 4 4
| 0 4 7 11 15
| C D# E# G A#
|-
| 0{{pipe}}4
| 3 4 4 4 4
| 0 3 7 11 15
| C D E# G A#
|}
 
'''godzilla[9]''' ([[5L&nbsp;4s]]/ CPG = 15\19 ~= 7/4 ~= 12/7)
 
{| class="wikitable"
|-
! UDP
! Mode steps
! Mode degrees
! Note names
|-
| 8{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;9s]]/ CPG = 4\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 13{{pipe}}0
| 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#
|-
| 12{{pipe}}1
| 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#
|-
| 11{{pipe}}2
| 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#
|-
| 10{{pipe}}3
| 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#
|-
| 9{{pipe}}4
| 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#
|-
| 8{{pipe}}5
| 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#
|-
| 7{{pipe}}6
| 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#
|-
| 6{{pipe}}7
| 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#
|-
| 5{{pipe}}8
| 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#
|-
| 4{{pipe}}9
| 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
|-
| 3{{pipe}}10
| 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
|-
| 2{{pipe}}11
| 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
|-
| 1{{pipe}}12
| 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
|-
| 0{{pipe}}13
| 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
|}
 
=== [[Kleismic_family|Kleismic / Hanson]] ===
'''kleismic[7]''' ([[4L&nbsp;3s]]/ [[Modal_UDP_Notation|chroma-positive generator]] = 14\19 ~= 5/3)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
! Comments
|-
| 6{{pipe}}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{{pipe}}1
| 4 1 4 4 1 4 1
| 0 4 5 9 13 14 18
| C D# Eb F# Ab A B#
|
|-
| 4{{pipe}}2
| 4 1 4 1 4 4 1
| 0 4 5 9 10 14 18
| C D# Eb F# Gb A B#
|
|-
| 3{{pipe}}3
| 4 1 4 1 4 1 4
| 0 4 5 9 10 14 15
| C D# Eb F# Gb A A#
| symmetrical
|-
| 2{{pipe}}4
| 1 4 4 1 4 1 4
| 0 1 5 9 10 14 15
| C C# Eb F# Gb A A#
|
|-
| 1{{pipe}}5
| 1 4 1 4 4 1 4
| 0 1 5 6 10 14 15
| C C# Eb E Gb A A#
|
|-
| 0{{pipe}}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]''' ([[4L&nbsp;7s]]/ CPG = 14\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
! Comments
|-
| 10{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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]''' ([[4L&nbsp;11s]]/ CPG = 14\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 14{{pipe}}0
| 2 1 1 2 1 1 1 2 1 1 1 2 1 1 1
| 0 2 3 4 6 7 8 9 11 12 13 14 16 17 18
| C Db D D# E E# F F# G G# Ab A Bb B B#
|-
| 13{{pipe}}1
| 2 1 1 1 2 1 1 2 1 1 1 2 1 1 1
| 0 2 3 4 5 7 8 9 11 12 13 14 16 17 18
| C Db D D# Eb E# F F# G G# Ab A Bb B B#
|-
| 12{{pipe}}2
| 2 1 1 1 2 1 1 1 2 1 1 2 1 1 1
| 0 2 3 4 5 7 8 9 10 12 13 14 16 17 18
| C Db D D# Eb E# F F# Gb G# Ab A Bb B B#
|-
| 11{{pipe}}3
| 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1
| 0 2 3 4 5 7 8 9 10 12 13 14 15 17 18
| C Db D D# Eb E# F F# Gb G# Ab A A# B B#
|-
| 10{{pipe}}4
| 1 2 1 1 2 1 1 1 2 1 1 1 2 1 1
| 0 1 3 4 5 7 8 9 10 12 13 14 15 17 18
| C C# D D# Eb E# F F# Gb G# Ab A A# B B#
|-
| 9{{pipe}}5
| 1 2 1 1 1 2 1 1 2 1 1 1 2 1 1
| 0 1 3 4 5 6 8 9 10 12 13 14 15 17 18
| C C# D D# Eb E F F# Gb G# Ab A A# B B#
|-
| 8{{pipe}}6
| 1 2 1 1 1 2 1 1 1 2 1 1 2 1 1
| 0 1 3 4 5 6 8 9 10 11 13 14 15 17 18
| C C# D D# Eb E F F# Gb G Ab A A# B B#
|-
| 7{{pipe}}7
| 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1
| 0 1 3 4 5 6 8 9 10 11 13 14 15 16 18
| C C# D D# Eb E F F# Gb G Ab A A# Bb B#
|-
| 6{{pipe}}8
| 1 1 2 1 1 2 1 1 1 2 1 1 1 2 1
| 0 1 2 4 5 6 8 9 10 11 13 14 15 16 18
| C C# Db D# Eb E F F# Gb G Ab A A# Bb B#
|-
| 5{{pipe}}9
| 1 1 2 1 1 1 2 1 1 2 1 1 1 2 1
| 0 1 2 4 5 6 7 9 10 11 13 14 15 16 18
| C C# Db D# Eb E E# F# Gb G Ab A A# Bb B#
|-
| 4{{pipe}}10
| 1 1 2 1 1 1 2 1 1 1 2 1 1 2 1
| 0 1 2 4 5 6 7 9 10 11 12 14 15 16 18
| C C# Db D# Eb E E# F# Gb G G# A A# Bb B#
|-
| 3{{pipe}}11
| 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2
| 0 1 2 4 5 6 7 9 10 11 12 14 15 16 17
| C C# Db D# Eb E E# F# Gb G G# A A# Bb B
|-
| 2{{pipe}}12
| 1 1 1 2 1 1 2 1 1 1 2 1 1 1 2
| 0 1 2 3 5 6 7 9 10 11 12 14 15 16 17
| C C# Db D Eb E E# F# Gb G G# A A# Bb B
|-
| 1{{pipe}}13
| 1 1 1 2 1 1 1 2 1 1 2 1 1 1 2
| 0 1 2 3 5 6 7 8 10 11 12 14 15 16 17
| C C# Db D Eb E E# F Gb G G# A A# Bb B
|-
| 0{{pipe}}14
| 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2
| 0 1 2 3 5 6 7 8 10 11 12 13 15 16 17
| C C# Db D Eb E E# F Gb G G# Ab A# Bb B
|}
 
=== [[Magic|Magic]] ===
'''magic[7]''' ([[3L&nbsp;4s]] / [[Modal_UDP_Notation|chroma-positive generator]] = 6\19 ~=5/4)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 6{{pipe}}0
| 5 1 5 1 5 1 1
| 0 5 6 11 12 17 18
| C Eb E G G# B B#
|-
| 5{{pipe}}1
| 5 1 5 1 1 5 1
| 0 5 6 11 12 13 18
| C Eb E G G# Ab B#
|-
| 4{{pipe}}2
| 5 1 1 5 1 5 1
| 0 5 6 7 12 13 18
| C Eb E E# G# Ab B#
|-
| 3{{pipe}}3
| 1 5 1 5 1 5 1
| 0 1 6 7 12 13 18
| C C# E E# G# Ab B#
|-
| 2{{pipe}}4
| 1 5 1 5 1 1 5
| 0 1 6 7 12 13 14
| C C# E E# G# Ab A
|-
| 1{{pipe}}5
| 1 5 1 1 5 1 5
| 0 1 6 7 8 13 14
| C C# E E# F Ab A
|-
| 0{{pipe}}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&nbsp;7s]] / CPG = 6\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 9{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;10s]] / CPG = 6\19 ~=5/4)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 12{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;13s]] / CPG = 6\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 15{{pipe}}0
| 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1
| 0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18
| C Db D D# Eb E F F# Gb G G# A A# Bb B B#
|-
| 14{{pipe}}1
| 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1
| 0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18
| C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#
|-
| 13{{pipe}}2
| 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1
| 0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18
| C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#
|-
| 12{{pipe}}3
| 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1
| 0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18
| C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#
|-
| 11{{pipe}}4
| 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1
| 0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18
| C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#
|-
| 10{{pipe}}5
| 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1
| 0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18
| C C# D D# Eb E E# F Gb G G# Ab A Bb B B#
|-
| 9{{pipe}}6
| 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1
| 0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18
| C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#
|-
| 8{{pipe}}7
| 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1
| 0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18
| C C# Db D# Eb E E# F Gb G G# Ab A A# B B#
|-
| 7{{pipe}}8
| 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1
| 0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18
| C C# Db D# Eb E E# F F# G G# Ab A A# B B#
|-
| 6{{pipe}}9
| 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1
| 0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18
| C C# Db D Eb E E# F F# G G# Ab A A# B B#
|-
| 5{{pipe}}10
| 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1
| 0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18
| C C# Db D Eb E E# F F# G G# Ab A A# Bb B#
|-
| 4{{pipe}}11
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1
| 0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18
| C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#
|-
| 3{{pipe}}12
| 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1
| 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18
| C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#
|-
| 2{{pipe}}13
| 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2
| 0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17
| C C# Db D D# E E# F F# Gb G# Ab A A# Bb B
|-
| 1{{pipe}}14
| 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2
| 0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17
| C C# Db D D# E E# F F# Gb G Ab A A# Bb B
|-
| 0{{pipe}}15
| 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2
| 0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17
| C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B
|}
 
=== [[Sensi|Sensi]] ===
'''sensi[5]''' ([[3L&nbsp;2s]] / [[Modal_UDP_Notation|chroma-positive generator]] = 12\19)
 
{| class="wikitable"
|-
! UDP
! Mode steps
! Mode degrees
! Note names
|-
| 4{{pipe}}0
| 5 5 2 5 2
| 0 5 10 12 17
| C Eb Gb G# B
|-
| 3{{pipe}}1
| 5 2 5 5 2
| 0 5 7 12 17
| C Eb E# G# B
|-
| 2{{pipe}}2
| 5 2 5 2 5
| 0 5 7 12 14
| C Eb E# G# A
|-
| 1{{pipe}}3
| 2 5 5 2 5
| 0 2 7 12 14
| C Db E# G# A
|-
| 0{{pipe}}4
| 2 5 2 5 5
| 0 2 7 9 14
| C Db E# F# A
|}
 
'''sensi[8]''' ([[3L&nbsp;5s]] / CPG = 12\19)
 
{| class="wikitable"
|-
! UDP
! Mode steps
! Mode degrees
! Note names
|-
| 7{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;3s]] / CPG = 7\19)
 
{| class="wikitable"
|-
! UDP
! Mode steps
! Mode degrees
! Note names
|-
| 10{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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_family#Liese|Liese]] / [[Marvel_temperaments#Triton|Triton]] ===
'''liese[5]''' ([[2L&nbsp;3s]] / [[Modal_UDP_Notation|chroma-positive generator]] = 9\19 ~= 7/5)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 4{{pipe}}0
| 8 1 8 1 1
| 0 8 9 17 18
| C F F# B B#
|-
| 3{{pipe}}1
| 8 1 1 8 1
| 0 8 9 10 18
| C F F# Gb B#
|-
| 2{{pipe}}2
| 1 8 1 8 1
| 0 1 9 10 18
| C C# F# Gb B#
|-
| 1{{pipe}}3
| 1 8 1 1 8
| 0 1 9 10 11
| C C# F# Gb G
|-
| 0{{pipe}}4
| 1 1 8 1 8
| 0 1 2 10 11
| C C# Db Gb G
|}
 
'''liese[7]''' ([[2L&nbsp;5s]] / CPG = 9\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 6{{pipe}}0
| 7 1 1 7 1 1 1
| 0 7 8 9 16 17 18
| C E# F F# Bb B B#
|-
| 5{{pipe}}1
| 7 1 1 1 7 1 1
| 0 7 8 9 10 17 18
| C E# F F# Gb B B#
|-
| 4{{pipe}}2
| 1 7 1 1 7 1 1
| 0 1 8 9 10 17 18
| C C# F F# Gb B B#
|-
| 3{{pipe}}3
| 1 7 1 1 1 7 1
| 0 1 8 9 10 11 18
| C C# F F# Gb G B#
|-
| 2{{pipe}}4
| 1 1 7 1 1 7 1
| 0 1 2 9 10 11 18
| C C# Db F# Gb G B#
|-
| 1{{pipe}}5
| 1 1 7 1 1 1 7
| 0 1 2 9 10 11 12
| C C# Db F# Gb G G#
|-
| 0{{pipe}}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&nbsp;7s]] / CPG = 9\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 8{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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&nbsp;9s]] / CPG = 9\19)
 
{| class="wikitable"
|-
! UDP
! Steps
! Degrees
! Note names
|-
| 10{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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{{pipe}}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:
 
'''liese[13]''' 4111114111111 etc.
 
'''liese[15]''' 311111131111111 etc.
 
'''liese[17]''' 21111111211111111 etc.
 
== Strictly proper scales ==
''See [[Strictly proper 19edo scales]]''
 
== Miscellaneous scales ==
2 3 1 4 1 4 4 – E# F# G# Ab B Cb D – Cartunes
 
1 1 6 3 1 1 6 – E# F Gbb A# B# C Dbb E# – enharmonic approximation
 
5 3 1 2 4 1 3 – C Eb F F# G A# B – Hyperblue Dorian (approximated from [[31edo]])
 
{{Navbox scale gallery}}
 
[[Category:19edo]]
[[Category:modes]]
Retrieved from "https://en.xen.wiki/w/19edo_modes"