19edo modes: Difference between revisions
Wikispaces>spt3125 **Imported revision 485267522 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 555277543 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-07-14 00:29:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>555277543</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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The charts below primarily use the following note names (based on standard meantone/Pythagorean notation): | 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 || | ||= 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# ||= | ||= C ||= Ç | ||
C# (<span style="font-size: 13.3333339691162px;">Δb)</span> ||= <span style="display: block; text-align: center;"><span style="font-size: 13.3333339691162px;">Δ</span></span><span style="display: block; text-align: center;">Ç# (Db)</span> ||= D ||= Þ | |||
D# (<span style="font-size: 13.3333339691162px;">εb, Sb)</span> ||= <span style="font-size: 13.3333339691162px;">ε, S</span> | |||
<span style="display: block; text-align: center;">Þ# (Eb)</span> ||= E ||= E# (Fb) ||= F ||= ϕ | |||
F# (Γb) ||= <span style="display: block; text-align: center;">Γ</span>ϕ# (Gb) ||= G ||= Z | |||
G# (<span style="font-size: 13.3333339691162px;">αb)</span> ||= <span style="display: block; font-size: 13.3333339691162px; text-align: center;">α</span><span style="line-height: 1.5;">Z# (</span>Ab) ||= A ||= Æ | |||
A# (βb, Bb) ||= <span style="display: block; text-align: center;">Æ#</span><span style="display: block; text-align: center;">β ,B(b)</span> ||= B, H ||= B#, H# (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#. | 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! | Other systems of notation are of course possible, and may be preferred depending on the scales you are working with! | ||
==[[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) | |||
||~ 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# | |||
C <span style="font-size: 13.3333339691162px;">Δ </span>Þ S E# F Γ Z <span style="font-size: 13.3333339691162px;">α Æ </span>β 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# | |||
C <span style="font-size: 13.3333339691162px;">Δ </span>Þ S E# F Γ G <span style="font-size: 13.3333339691162px;">α Æ </span>β 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# | |||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E# F Γ G <span style="font-size: 13.3333339691162px;">α Æ </span>β 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# | |||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E# F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β 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# | |||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β 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 | |||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β B || Yasser's Supradiatonic | |||
(<span style="line-height: 1.5;">twelfths of 12-5 chords form C Ionian mode)</span> || | |||
|| 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 | |||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F ϕ G <span style="font-size: 13.3333339691162px;">α A </span>β B || fifths of 12-5 chords form C Ionian mode || | |||
|| 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 | |||
C Ç<span style="font-size: 13.3333339691162px; line-height: 1.5;"> D</span><span style="line-height: 1.5;"> S E F ϕ G </span><span style="font-size: 13.3333339691162px; line-height: 1.5;">α A </span><span style="line-height: 1.5;">β B</span> || || | |||
|| 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 | |||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> S E F ϕ G Z<span style="font-size: 13.3333339691162px;"> A </span>β 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 | |||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> Þ E F ϕ G Z<span style="font-size: 13.3333339691162px;"> A </span>β B || octaves of 12-5 chords form C Ionian mode || | |||
|| 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 | |||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> Þ E F ϕ G Z<span style="font-size: 13.3333339691162px;"> Æ </span>β B || roots of 12-5 chords form C Ionian mode || | |||
|| 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 || || | |||
=Miscellaneous scales= | =Miscellaneous scales= | ||
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==[[ | ==[[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# || | |||
**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 || | || 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 || | || 0|4 || 1 1 8 1 8 || 0 1 2 10 11 || C C# Db Gb G || | ||
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<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><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> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>19edo Modes</title></head><body><!-- 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: | <!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><div style="margin-left: 2em;"><a href="#Note names in 19edo-Meantone">Meantone</a></div> | ||
<!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="# | <!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><div style="margin-left: 1em;"><a href="#Miscellaneous scales">Miscellaneous scales</a></div> | ||
<!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><div style="margin-left: | <!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><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:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments- | <!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Negri">Negri</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- | <!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Deutone">Deutone</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- | <!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore">Godzilla / Semaphore</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- | <!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Kleismic / Hanson">Kleismic / Hanson</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- | <!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Magic">Magic</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- | <!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 2em;"><a href="#MOS scales and modes of rank-2 temperaments-Sensi">Sensi</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: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:34 --><!-- ws:start:WikiTextTocRule:35: --></div> | ||
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<td style="text-align: center;">C<br /> | <td style="text-align: center;">C<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">C#<br /> | <td style="text-align: center;">Ç<br /> | ||
C# (<span style="font-size: 13.3333339691162px;">Δb)</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Db<br /> | <td style="text-align: center;"><span style="display: block; text-align: center;"><span style="font-size: 13.3333339691162px;">Δ</span></span><span style="display: block; text-align: center;">Ç# (Db)</span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">D<br /> | <td style="text-align: center;">D<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">D#<br /> | <td style="text-align: center;">Þ<br /> | ||
D# (<span style="font-size: 13.3333339691162px;">εb, Sb)</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Eb<br /> | <td style="text-align: center;"><span style="font-size: 13.3333339691162px;">ε, S</span><br /> | ||
<span style="display: block; text-align: center;">Þ# (Eb)</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">E<br /> | <td style="text-align: center;">E<br /> | ||
| Line 444: | Line 465: | ||
<td style="text-align: center;">F<br /> | <td style="text-align: center;">F<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">F#<br /> | <td style="text-align: center;">ϕ<br /> | ||
F# (Γb)<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Gb<br /> | <td style="text-align: center;"><span style="display: block; text-align: center;">Γ</span>ϕ# (Gb)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">G<br /> | <td style="text-align: center;">G<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">G#<br /> | <td style="text-align: center;">Z<br /> | ||
G# (<span style="font-size: 13.3333339691162px;">αb)</span><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Ab<br /> | <td style="text-align: center;"><span style="display: block; font-size: 13.3333339691162px; text-align: center;">α</span><span style="line-height: 1.5;">Z# (</span>Ab)<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">A<br /> | <td style="text-align: center;">A<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">A#<br /> | <td style="text-align: center;">Æ<br /> | ||
A# (βb, Bb)<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;"><span style="display: block; text-align: center;">Æ#</span><span style="display: block; text-align: center;">β ,B(b)</span><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">B<br /> | <td style="text-align: center;">B, H<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">B# (Cb)<br /> | <td style="text-align: center;">B#, H# (Cb)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:3:&lt; | <!-- ws:start:WikiTextHeadingRule:3:&lt;h2&gt; --><h2 id="toc1"><a name="Note names in 19edo-Meantone"></a><!-- ws:end:WikiTextHeadingRule:3 --><a class="wiki_link" href="/meantone">Meantone</a></h2> | ||
<br /> | <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 /> | |||
<strong> | |||
| Line 499: | Line 515: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|0<br /> | ||
</td> | </td> | ||
<td>3 | <td>5 3 5 3 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 8 13 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb F Ab Bb<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 511: | Line 527: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|1<br /> | ||
</td> | </td> | ||
<td> | <td>5 3 3 5 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 8 11 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb F G Bb<br /> | ||
</td> | </td> | ||
<td><br /> | <td>minor pentatonic<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|2<br /> | ||
</td> | </td> | ||
<td> | <td>3 5 3 5 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 8 11 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C D F G Bb<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|3<br /> | ||
</td> | </td> | ||
<td> | <td>3 5 3 3 5<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 8 11 14<br /> | ||
</td> | </td> | ||
<td>C | <td>C D F G A<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 547: | Line 563: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|4<br /> | ||
</td> | </td> | ||
<td> | <td>3 3 5 3 5<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 11 14<br /> | ||
</td> | </td> | ||
<td>C | <td>C D E G A<br /> | ||
</td> | </td> | ||
<td> | <td>major pentatonic<br /> | ||
</td> | </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> | ||
<tr> | <tr> | ||
<td> | <td>6|0<br /> | ||
</td> | </td> | ||
<td>2 | <td>3 3 3 2 3 3 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 9 11 14 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C D E F# G A B<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Lydian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|1<br /> | ||
</td> | </td> | ||
<td>2 | <td>3 3 2 3 3 3 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 8 11 14 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C D E F G A B<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Ionian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|2<br /> | ||
</td> | </td> | ||
<td>2 | <td>3 3 2 3 3 2 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 8 11 14 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C D E F G A Bb<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Mixolydian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|3<br /> | ||
</td> | </td> | ||
<td>2 | <td>3 2 3 3 3 2 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 5 8 11 14 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C D Eb F G A Bb<br /> | ||
</td> | </td> | ||
<td><br /> | <td>Dorian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td>2|4<br /> | ||
</ | </td> | ||
<td>3 2 3 3 2 3 3<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>0 3 5 8 11 13 16<br /> | ||
</td> | </td> | ||
<td> | <td>C D Eb F G Ab Bb<br /> | ||
</td> | </td> | ||
<td> | <td>Aeolian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|5<br /> | ||
</td> | |||
<td>2 3 3 3 2 3 3<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 5 8 11 13 16<br /> | ||
</td> | </td> | ||
<td> | <td>C Db Eb F G Ab Bb<br /> | ||
</td> | </td> | ||
<td> | <td>Phrygian<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|6<br /> | ||
</td> | </td> | ||
<td>2 2 | <td>2 3 3 2 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 5 8 10 13 16<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C Db Eb F Gb Ab Bb<br /> | ||
</td> | |||
<td>Locrian<br /> | |||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<strong>meantone[12]</strong> (<a class="wiki_link" href="/7L%205s">7L+5s</a> / CPG = 8\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> | ||
<tr> | <tr> | ||
<td> | <td>11|0<br /> | ||
</td> | |||
<td>2 2 1 2 1 2 2 1 2 1 2 1<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 4 5 7 8 10 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D# Eb E# F Gb G# Ab A# Bb B#<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ </span>Þ S E# F Γ Z <span style="font-size: 13.3333339691162px;">α Æ </span>β B#<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|1<br /> | ||
</td> | </td> | ||
<td>2 2 2 | <td>2 2 1 2 1 2 1 2 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 4 | <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 /> | |||
C <span style="font-size: 13.3333339691162px;">Δ </span>Þ S E# F Γ G <span style="font-size: 13.3333339691162px;">α Æ </span>β B#<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|2<br /> | ||
</td> | |||
<td>2 1 2 2 1 2 1 2 2 1 2 1<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 3 5 7 8 10 11 13 15 16 18<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D Eb E# F Gb G Ab A# Bb B#<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E# F Γ G <span style="font-size: 13.3333339691162px;">α Æ </span>β B#<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3 | <td>8|3<br /> | ||
</td> | |||
<td>2 1 2 2 1 2 1 2 1 2 2 1<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 3 5 7 8 10 11 13 14 16 18<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D Eb E# F Gb G Ab A Bb B#<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E# F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β B#<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2 | <td>7|4<br /> | ||
</td> | |||
<td>2 1 2 1 2 2 1 2 1 2 2 1<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 3 5 6 8 10 11 13 14 16 18<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D Eb E F Gb G Ab A Bb B#<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β B#<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1 | <td>6|5<br /> | ||
</td> | |||
<td>2 1 2 1 2 2 1 2 1 2 1 2<br /> | |||
</td> | </td> | ||
<td>2 | <td>0 2 3 5 6 8 10 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D Eb E F Gb G Ab A Bb B<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F Γ G <span style="font-size: 13.3333339691162px;">α A </span>β B<br /> | |||
</td> | </td> | ||
<td>C | <td>Yasser's Supradiatonic<br /> | ||
(<span style="line-height: 1.5;">twelfths of 12-5 chords form C Ionian mode)</span><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|6<br /> | ||
</td> | |||
<td>2 1 2 1 2 1 2 2 1 2 1 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 3 5 6 8 9 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D Eb E F F# G Ab A Bb B<br /> | ||
C <span style="font-size: 13.3333339691162px;">Δ D</span> S E F ϕ G <span style="font-size: 13.3333339691162px;">α A </span>β B<br /> | |||
</td> | </td> | ||
<td>C | <td>fifths of 12-5 chords form C Ionian mode<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<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>5 | |||
</td> | </td> | ||
<td> | <td>C C# D Eb E F F# G Ab A Bb B<br /> | ||
C Ç<span style="font-size: 13.3333339691162px; line-height: 1.5;"> D</span><span style="line-height: 1.5;"> S E F ϕ G </span><span style="font-size: 13.3333339691162px; line-height: 1.5;">α A </span><span style="line-height: 1.5;">β B</span><br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|8<br /> | ||
</td> | |||
<td>1 2 2 1 2 1 2 1 2 2 1 2<br /> | |||
</td> | </td> | ||
<td>3 | <td>0 1 3 5 6 8 9 11 12 14 16 17<br /> | ||
</td> | </td> | ||
<td> | <td>C C# D Eb E F F# G G# A Bb B<br /> | ||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> S E F ϕ G Z<span style="font-size: 13.3333339691162px;"> A </span>β B<br /> | |||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|9<br /> | ||
</td> | |||
<td>1 2 1 2 2 1 2 1 2 2 1 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 1 3 4 6 8 9 11 12 14 16 17<br /> | ||
</td> | </td> | ||
<td> | <td>C C# D D# E F F# G G# A Bb B<br /> | ||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> Þ E F ϕ G Z<span style="font-size: 13.3333339691162px;"> A </span>β B<br /> | |||
</td> | </td> | ||
<td>C | <td>octaves of 12-5 chords form C Ionian mode<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|10<br /> | ||
</td> | </td> | ||
<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> | ||
<td> | <td>C C# D D# E F F# G G# A A# B<br /> | ||
C Ç<span style="font-size: 13.3333339691162px;"> D</span> Þ E F ϕ G Z<span style="font-size: 13.3333339691162px;"> Æ </span>β B<br /> | |||
</td> | </td> | ||
<td>C | <td>roots of 12-5 chords form C Ionian mode<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|11<br /> | ||
</td> | </td> | ||
<td> | <td>1 2 1 2 1 2 2 1 2 1 2 2<br /> | ||
</td> | </td> | ||
<td>0 3 6 9 12 | <td>0 1 3 4 6 7 9 11 12 14 15 17<br /> | ||
</td> | </td> | ||
<td>C D E F# G# | <td>C C# D D# E E# F# G G# A A# B<br /> | ||
</td> | </td> | ||
<td><br /> | |||
<td> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 807: | Line 855: | ||
<br /> | <br /> | ||
<strong> | <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Miscellaneous scales"></a><!-- ws:end:WikiTextHeadingRule:5 -->Miscellaneous scales</h1> | ||
<br /> | |||
2314144 - E# F# G# Ab B Cb D - Cartunes<br /> | |||
1163116 - E# F Gbb A# B# C Dbb E# - enharmonic approximation<br /> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="MOS scales and modes of rank-2 temperaments"></a><!-- ws:end:WikiTextHeadingRule:7 -->MOS scales and modes of rank-2 temperaments</h1> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="MOS scales and modes of rank-2 temperaments-Negri"></a><!-- ws:end:WikiTextHeadingRule:9 --><a class="wiki_link" href="/negri">Negri</a></h2> | |||
<br /> | |||
<strong>negri[9]</strong> (<a class="wiki_link" href="/1L%208s">1L+8s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 17\19)<br /> | |||
| Line 819: | Line 877: | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
</th> | |||
<th>comments<br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|0<br /> | ||
</td> | |||
<td>3 2 2 2 2 2 2 2 2<br /> | |||
</td> | </td> | ||
<td>3 | <td>0 3 5 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C D Eb E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|1<br /> | ||
</td> | |||
<td>2 3 2 2 2 2 2 2 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 5 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db Eb E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|2<br /> | ||
</td> | |||
<td>2 2 3 2 2 2 2 2 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 4 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D# E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|3<br /> | ||
</td> | </td> | ||
<td>3 | <td>2 2 2 3 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 6 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C D E F# | <td>C Db D# E F# G Ab A# B<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|4<br /> | ||
</td> | |||
<td>2 2 2 2 3 2 2 2 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 4 6 8 11 13 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D# E F G Ab A# B<br /> | ||
</td> | </td> | ||
<td> | <td>symmetrical, has both 4/3 and 3/2<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|5<br /> | ||
</td> | |||
<td>2 2 2 2 2 3 2 2 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 4 6 8 10 13 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D# E F Gb Ab A# B<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|6<br /> | ||
</td> | |||
<td>2 2 2 2 2 2 3 2 2<br /> | |||
</td> | </td> | ||
<td> | <td>0 2 4 6 8 10 12 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C Db D# E F Gb G# A# B<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | <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> | <br /> | ||
<strong>negri[10]</strong> (<a class="wiki_link" href="/9L%201s">9L+1s</a> / CPG = 2\19)<br /> | |||
| Line 909: | Line 1,008: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|0<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 2 2 2 2 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 10 12 14 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E F Gb G# A Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|1<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 2 2 2 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 10 12 14 16 17<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E F Gb G# A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|2<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 2 2 2 1 2 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 10 12 14 15 17<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E F Gb G# A A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|3<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 2 2 1 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 10 12 13 15 17<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E F Gb G# Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|4<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 2 1 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 10 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E F Gb G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|5<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 2 2 1 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 8 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C Db D# E F F# G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|6<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>2 2 2 1 2 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 6 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D# E E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|7<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>2 2 1 2 2 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 5 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D# Eb E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|8<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>2 1 2 2 2 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 5 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D Eb E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|9<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>1 2 2 2 2 2 2 2 2 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 | <td>0 1 3 5 7 9 11 13 15 17<br /> | ||
</td> | </td> | ||
<td>C C# D | <td>C C# D Eb E# F# G Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
</table> | |||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="MOS scales and modes of rank-2 temperaments- | <!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="MOS scales and modes of rank-2 temperaments-Deutone"></a><!-- ws:end:WikiTextHeadingRule:11 --><a class="wiki_link" href="/deutone">Deutone</a></h2> | ||
<br /> | <br /> | ||
<strong> | <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 /> | ||
| Line 1,051: | Line 1,120: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th> | <th>steps<br /> | ||
</th> | </th> | ||
<th> | <th>degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
| Line 1,059: | Line 1,128: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|0<br /> | ||
</td> | </td> | ||
<td>4 | <td>4 3 3 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 4 | <td>0 4 7 10 13 16<br /> | ||
</td> | </td> | ||
<td>C D# | <td>C D# E# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|1<br /> | ||
</td> | </td> | ||
<td>4 | <td>3 4 3 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 7 10 13 16<br /> | ||
</td> | </td> | ||
<td>C D# | <td>C D E# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|2<br /> | ||
</td> | </td> | ||
<td>4 | <td>3 3 4 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 10 13 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|3<br /> | ||
</td> | </td> | ||
<td>4 3 | <td>3 3 3 4 3 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 6 9 13 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E F# Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|4<br /> | ||
</td> | </td> | ||
<td>3 4 | <td>3 3 3 3 4 3<br /> | ||
</td> | </td> | ||
<td>0 3 | <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> | ||
<td>C D E# G A#<br /> | <td>C D E F# G# A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,111: | Line 1,190: | ||
<br /> | <br /> | ||
<strong> | <strong>deutone[7]</strong> (<a class="wiki_link" href="/6L%201s">6L+1s </a>/ CPG = 3\19)<br /> | ||
| Line 1,118: | Line 1,197: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th> | <th>steps<br /> | ||
</th> | </th> | ||
<th> | <th>degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
| Line 1,126: | Line 1,205: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|0<br /> | ||
</td> | </td> | ||
<td>3 3 | <td>3 3 3 3 3 3 1<br /> | ||
</td> | </td> | ||
<td>0 3 6 | <td>0 3 6 9 12 15 18<br /> | ||
</td> | </td> | ||
<td>C D E | <td>C D E F# G# A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|1<br /> | ||
</td> | </td> | ||
<td>3 | <td>3 3 3 3 3 1 3<br /> | ||
</td> | </td> | ||
<td>0 3 | <td>0 3 6 9 12 15 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E F# G# A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|2<br /> | ||
</td> | </td> | ||
<td>3 | <td>3 3 3 3 1 3 3<br /> | ||
</td> | </td> | ||
<td>0 3 | <td>0 3 6 9 12 13 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E F# G# Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|3<br /> | ||
</td> | </td> | ||
<td>3 | <td>3 3 3 1 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 3 | <td>0 3 6 9 10 13 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E F# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|4<br /> | ||
</td> | </td> | ||
<td>3 1 3 | <td>3 3 1 3 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 3 | <td>0 3 6 7 10 13 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C D E E# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|5<br /> | ||
</td> | </td> | ||
<td>1 3 3 | <td>3 1 3 3 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 4 7 10 13 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C D D# E# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|6<br /> | ||
</td> | </td> | ||
<td>1 3 | <td>1 3 3 3 3 3 3<br /> | ||
</td> | </td> | ||
<td>0 1 4 | <td>0 1 4 7 10 13 16<br /> | ||
</td> | </td> | ||
<td>C C# D# | <td>C C# D# E# Gb Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,218: | Line 1,277: | ||
<br /> | <br /> | ||
<strong> | <strong>deutone[13]</strong> (<a class="wiki_link" href="/6L%207s">6L+7s </a>/ CPG = 3\19)<br /> | ||
| Line 1,233: | Line 1,292: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>12|0<br /> | ||
</td> | </td> | ||
<td>2 1 2 1 1 2 | <td>2 1 2 1 2 1 2 1 2 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 3 5 6 | <td>0 2 3 5 6 8 9 11 12 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D Eb E | <td>C Db D Eb E F F# G G# A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11|1<br /> | ||
</td> | </td> | ||
<td>2 1 1 2 1 2 | <td>2 1 2 1 2 1 2 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 3 | <td>0 2 3 5 6 8 9 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D Eb E F F# G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|2<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 1 2 1 2 1 2 1 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 3 | <td>0 2 3 5 6 8 9 11 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D Eb E F F# G G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|3<br /> | ||
</td> | </td> | ||
<td>2 1 1 2 1 1 2 | <td>2 1 2 1 2 1 1 2 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 3 | <td>0 2 3 5 6 8 9 10 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D Eb E F F# Gb G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|4<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 1 2 1 1 2 1 2 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 3 | <td>0 2 3 5 6 7 9 10 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D Eb E E# F# Gb G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|5<br /> | ||
</td> | </td> | ||
<td>1 2 1 2 | <td>2 1 1 2 1 2 1 2 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 9 10 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F# Gb G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|6<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 1 2 | <td>1 2 1 2 1 2 1 2 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 6 7 9 10 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# E E# F# Gb G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|7<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 | <td>1 2 1 2 1 2 1 2 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 6 7 9 10 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# E E# F# Gb G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|8<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 | <td>1 2 1 2 1 2 1 2 1 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 6 7 9 10 12 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# E E# F# Gb G# Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|9<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 1 1 2 | <td>1 2 1 2 1 2 1 1 2 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 | <td>0 1 3 4 6 7 9 10 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# D D# | <td>C C# D D# E E# F# Gb G Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|10<br /> | ||
</td> | </td> | ||
<td> | <td>1 2 1 2 1 1 2 1 2 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 3 4 6 7 8 10 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# D D# E E# F Gb G Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|11<br /> | ||
</td> | </td> | ||
<td> | <td>1 2 1 1 2 1 2 1 2 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 3 4 5 7 8 10 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# D D# Eb E# F Gb G Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|12<br /> | ||
</td> | </td> | ||
<td>1 1 2 1 1 2 | <td>1 1 2 1 2 1 2 1 2 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 2 4 5 | <td>0 1 2 4 5 7 8 10 11 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# Db D# Eb E | <td>C C# Db D# Eb E# F Gb G Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,376: | Line 1,425: | ||
<br /> | <br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments- | <!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><h2 id="toc6"><a name="MOS scales and modes of rank-2 temperaments-Godzilla / Semaphore"></a><!-- ws:end:WikiTextHeadingRule:13 --><a class="wiki_link" href="/Semaphore%20and%20Godzilla">Godzilla / Semaphore</a></h2> | ||
<br /> | <br /> | ||
<strong> | <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 /> | ||
| Line 1,385: | Line 1,434: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th>steps<br /> | <th>mode steps<br /> | ||
</th> | </th> | ||
<th>degrees<br /> | <th>mode degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|0<br /> | ||
</td> | </td> | ||
<td>4 4 | <td>4 4 4 4 3<br /> | ||
</td> | </td> | ||
<td>0 4 8 | <td>0 4 8 12 16<br /> | ||
</td> | </td> | ||
<td>C D# F | <td>C D# F G# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|1<br /> | ||
</td> | </td> | ||
<td>4 | <td>4 4 4 3 4<br /> | ||
</td> | </td> | ||
<td>0 4 | <td>0 4 8 12 15<br /> | ||
</td> | </td> | ||
<td>C D# | <td>C D# F G# A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|2<br /> | ||
</td> | </td> | ||
<td>4 | <td>4 4 3 4 4<br /> | ||
</td> | </td> | ||
<td>0 4 | <td>0 4 8 11 15<br /> | ||
</td> | </td> | ||
<td>C D# | <td>C D# F G A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|3<br /> | ||
</td> | </td> | ||
<td>4 | <td>4 3 4 4 4<br /> | ||
</td> | </td> | ||
<td>0 4 | <td>0 4 7 11 15<br /> | ||
</td> | </td> | ||
<td>C D# | <td>C D# E# G A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|4<br /> | ||
</td> | </td> | ||
<td> | <td>3 4 4 4 4<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 7 11 15<br /> | ||
</td> | </td> | ||
<td>C | <td>C D E# G A#<br /> | ||
</td> | </td> | ||
</tr> | </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> | <tr> | ||
< | <th>UDP<br /> | ||
</ | </th> | ||
< | <th>mode steps<br /> | ||
</ | </th> | ||
<td>0 | <th>mode degrees<br /> | ||
</th> | |||
<th>note names<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>8|0<br /> | |||
</td> | </td> | ||
<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> | ||
<td><br /> | <td>C D E E# Gb G A A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0 | <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> | </td> | ||
<td> | </tr> | ||
<tr> | |||
<td>6|2<br /> | |||
</td> | </td> | ||
<td> | <td>3 1 3 1 3 3 1 3 1<br /> | ||
</td> | </td> | ||
<td> | <td>0 3 4 7 8 11 14 15 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D D# E# F G A A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5|3<br /> | |||
<td> | |||
</td> | </td> | ||
<td>3 1 3 1 1 3 | <td>3 1 3 1 3 1 3 3 1<br /> | ||
</td> | </td> | ||
<td>0 3 4 7 8 | <td>0 3 4 7 8 11 12 15 18<br /> | ||
</td> | </td> | ||
<td>C D D# E# F | <td>C D D# E# F G G# A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|4<br /> | ||
</td> | </td> | ||
<td>3 1 1 3 1 3 | <td>3 1 3 1 3 1 3 1 3<br /> | ||
</td> | </td> | ||
<td>0 3 4 | <td>0 3 4 7 8 11 12 15 16<br /> | ||
</td> | </td> | ||
<td>C D D# | <td>C D D# E# F G G# A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|5<br /> | ||
</td> | </td> | ||
<td>3 | <td>1 3 3 1 3 1 3 1 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 4 7 8 11 12 15 16<br /> | ||
</td> | </td> | ||
<td>C D | <td>C C# D# E# F G G# A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|6<br /> | ||
</td> | </td> | ||
<td>3 1 | <td>1 3 1 3 3 1 3 1 3<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 4 5 8 11 12 15 16<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D# Eb F G G# A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|7<br /> | ||
</td> | </td> | ||
<td>1 3 1 3 1 | <td>1 3 1 3 1 3 3 1 3<br /> | ||
</td> | </td> | ||
<td>0 1 4 5 8 9 | <td>0 1 4 5 8 9 12 15 16<br /> | ||
</td> | </td> | ||
<td>C C# D# Eb F F# | <td>C C# D# Eb F F# G# A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|8<br /> | ||
</td> | </td> | ||
<td>1 3 1 1 3 1 3 | <td>1 3 1 3 1 3 1 3 3<br /> | ||
</td> | </td> | ||
<td>0 1 4 5 | <td>0 1 4 5 8 9 12 13 16<br /> | ||
</td> | </td> | ||
<td>C C# D# Eb | <td>C C# D# Eb F F# G# Ab Bb<br /> | ||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<strong>godzilla[14]</strong> (<a class="wiki_link" href="/5L%209s">5L+9s </a>/ CPG = 4\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> | ||
<tr> | <tr> | ||
<td> | <td>13|0<br /> | ||
</td> | </td> | ||
<td>1 | <td>2 1 2 1 1 2 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 5 6 7 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D Eb E E# F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>12|1<br /> | ||
</td> | </td> | ||
<td>1 | <td>2 1 1 2 1 2 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | |||
</tr> | |||
<tr> | <tr> | ||
<td>2 | <td>11|2<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>2 1 1 2 1 1 2 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|3<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>2 1 1 2 1 1 2 1 1 2 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 12 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G G# A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|4<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>2 1 1 2 1 1 2 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 6 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# E E# F Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
<td><br /> | </tr> | ||
<tr> | |||
<td>8|5<br /> | |||
</td> | </td> | ||
<td>1 2 1 2 1 1 2 1 1 2 1 1 2 1<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>0 1 3 4 6 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D D# E E# F Gb G G# A A# Bb B#<br /> | |||
<td>C | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|6<br /> | ||
</td> | </td> | ||
<td>2 1 1 1 2 1 1 2 | <td>1 2 1 1 2 1 2 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 7 8 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E# F Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|7<br /> | ||
</td> | </td> | ||
<td>2 | <td>1 2 1 1 2 1 1 2 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 7 8 9 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E# F F# G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|8<br /> | ||
</td> | </td> | ||
<td>2 | <td>1 2 1 1 2 1 1 2 1 1 2 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 7 8 9 11 12 13 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E# F F# G G# Ab A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|9<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 2 | <td>1 2 1 1 2 1 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 4 5 7 8 9 | <td>0 1 3 4 5 7 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# D D# Eb E# F F# | <td>C C# D D# Eb E# F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|10<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 1 2 1 1 2 | <td>1 1 2 1 2 1 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 2 4 5 7 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Db D# Eb E# F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|11<br /> | ||
</td> | </td> | ||
<td>1 2 1 1 1 2 | <td>1 1 2 1 1 2 1 2 1 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 2 4 5 6 8 9 11 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Db D# Eb E F F# G G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|12<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>1 1 2 1 1 2 1 1 2 1 2 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 2 4 5 6 8 9 10 12 13 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Db D# Eb E F F# Gb G# Ab A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|13<br /> | ||
</td> | </td> | ||
<td>1 1 2 1 1 2 | <td>1 1 2 1 1 2 1 1 2 1 1 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 2 4 5 6 8 9 10 | <td>0 1 2 4 5 6 8 9 10 12 13 14 16 17<br /> | ||
</td> | </td> | ||
<td>C C# Db D# Eb E F F# Gb G Ab A | <td>C C# Db D# Eb E F F# Gb G# Ab A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:15:&lt;h2&gt; --><h2 id="toc7"><a name="MOS scales and modes of rank-2 temperaments-Kleismic / Hanson"></a><!-- ws:end:WikiTextHeadingRule:15 --><a class="wiki_link" href="/Kleismic%20family">Kleismic / Hanson</a></h2> | |||
<br /> | |||
<strong>kleismic[7]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+3s </a>/ <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 14\19 ~= 5/3)<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
< | <th>UDP<br /> | ||
</ | </th> | ||
< | <th>steps<br /> | ||
</ | </th> | ||
< | <th>degrees<br /> | ||
</ | </th> | ||
< | <th>note names<br /> | ||
</ | </th> | ||
<th>comments<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4 | <td>6|0<br /> | ||
</td> | |||
<td>4 4 1 4 1 4 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 4 8 9 13 14 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D# F F# Ab A B#<br /> | ||
</td> | </td> | ||
<td> | <td>has 4/3<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|1<br /> | ||
</td> | |||
<td>4 1 4 4 1 4 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 4 5 9 13 14 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D# Eb F# Ab A B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2 | <td>4|2<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>4 1 4 1 4 4 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 4 5 9 10 14 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C D# Eb F# Gb A B#<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1 | <td>3|3<br /> | ||
</td> | |||
<td>4 1 4 1 4 1 4<br /> | |||
</td> | </td> | ||
<td> | <td>0 4 5 9 10 14 15<br /> | ||
</td> | </td> | ||
<td> | <td>C D# Eb F# Gb A A#<br /> | ||
</td> | </td> | ||
<td> | <td>symmetrical<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|4<br /> | ||
</td> | |||
<td>1 4 4 1 4 1 4<br /> | |||
</td> | </td> | ||
<td>1 | <td>0 1 5 9 10 14 15<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Eb F# Gb A A#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td>1|5<br /> | ||
</ | </td> | ||
<td>1 4 1 4 4 1 4<br /> | |||
<td> | |||
</td> | </td> | ||
<td> | <td>0 1 5 6 10 14 15<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Eb E Gb A A#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|6<br /> | ||
</td> | |||
<td>1 4 1 4 1 4 4<br /> | |||
</td> | </td> | ||
<td> | <td>0 1 5 6 10 11 15<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Eb E Gb G A#<br /> | ||
</td> | </td> | ||
<td> | <td>has 3/2<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<strong>kleismic[11]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%207s">4L+7s </a>/ CPG = 14\19)<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
< | <th>UDP<br /> | ||
</ | </th> | ||
< | <th>steps<br /> | ||
</ | </th> | ||
< | <th>degrees<br /> | ||
</ | </th> | ||
< | <th>note names<br /> | ||
</ | </th> | ||
<th>comments<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3 | <td>10|0<br /> | ||
</td> | |||
<td>3 1 3 1 1 3 1 1 3 1 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 3 4 7 8 9 12 13 14 17 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D D# E# F F# G# Ab A B B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|1<br /> | ||
</td> | |||
<td>3 1 1 3 1 3 1 1 3 1 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 3 4 5 8 9 12 13 14 17 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D D# Eb F F# G# Ab A B B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1 | <td>8|2<br /> | ||
</td> | |||
<td>3 1 1 3 1 1 3 1 3 1 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 3 4 5 8 9 10 13 14 17 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D D# Eb F F# Gb Ab A B B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|3<br /> | ||
</td> | |||
<td>3 1 1 3 1 1 3 1 1 3 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 3 4 5 8 9 10 13 14 15 18<br /> | ||
</td> | </td> | ||
<td> | <td>C D D# Eb F F# Gb Ab A A# B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<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>9 | |||
</td> | </td> | ||
<td> | <td>C C# D# Eb F F# Gb Ab A A# B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|5<br /> | ||
</td> | |||
<td>1 3 1 1 3 1 3 1 1 3 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 1 4 5 6 9 10 13 14 15 18<br /> | ||
</td> | </td> | ||
<td> | <td>C C# D# Eb E F# Gb Ab A A# B#<br /> | ||
</td> | </td> | ||
<td> | <td>symmetrical, has neither 4/3 nor 3/2<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|6<br /> | ||
</td> | |||
<td>1 3 1 1 3 1 1 3 1 3 1<br /> | |||
</td> | </td> | ||
<td> | <td>0 1 4 5 6 9 10 11 14 15 18<br /> | ||
</td> | </td> | ||
<td> | <td>C C# D# Eb E F# Gb G A A# B#<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|7<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 3 1 1 3 1 1 3 1 1 3<br /> | ||
</td> | </td> | ||
<td>0 1 5 6 | <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> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|8<br /> | ||
</td> | |||
<td>1 1 3 1 3 1 1 3 1 1 3<br /> | |||
</td> | </td> | ||
<td>1 | <td>0 1 2 5 6 9 10 11 14 15 16<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Db Eb E F# Gb G A A# Bb<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|9<br /> | ||
</td> | |||
<td>1 1 3 1 1 3 1 3 1 1 3<br /> | |||
</td> | </td> | ||
<td>1 | <td>0 1 2 5 6 7 10 11 14 15 16<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Db Eb E E# Gb G A A# Bb<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3 | <td>0|10<br /> | ||
</td> | |||
<td>1 1 3 1 1 3 1 1 3 1 3<br /> | |||
</td> | </td> | ||
<td>1 | <td>0 1 2 5 6 7 10 11 12 15 16<br /> | ||
</td> | </td> | ||
<td> | <td>C C# Db Eb E E# Gb G G# A# Bb<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 2,006: | Line 2,015: | ||
<br /> | <br /> | ||
<strong> | <strong>kleismic[15]</strong> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s">4L+11s </a>/ CPG = 14\19)<br /> | ||
| Line 2,021: | Line 2,030: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>14|0<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 1 2 1 1 1 2 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 3 4 | <td>0 2 3 4 6 7 8 9 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C D D# | <td>C Db D D# E E# F F# G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>13|1<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 1 1 2 1 1 2 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 3 4 5 | <td>0 2 3 4 5 7 8 9 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C D D# Eb E F# | <td>C Db D D# Eb E# F F# G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>12|2<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 1 1 2 1 1 1 2 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 3 4 5 | <td>0 2 3 4 5 7 8 9 10 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C D D# Eb E | <td>C Db D D# Eb E# F F# Gb G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11|3<br /> | ||
</td> | </td> | ||
<td>1 | <td>2 1 1 1 2 1 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 4 5 7 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D D# Eb E# F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|4<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 2 1 1 2 1 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 4 5 | <td>0 1 3 4 5 7 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C C# D# Eb E | <td>C C# D D# Eb E# F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|5<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 2 1 1 1 2 1 1 2 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 4 5 6 | <td>0 1 3 4 5 6 8 9 10 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C C# D# Eb E | <td>C C# D D# Eb E F F# Gb G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|6<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>1 2 1 1 1 2 1 1 1 2 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 3 4 5 6 8 9 10 11 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# D D# Eb E F F# Gb G Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|7<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>1 2 1 1 1 2 1 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 3 4 5 6 8 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# D D# Eb E F F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|8<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>1 1 2 1 1 2 1 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 2 5 6 | <td>0 1 2 4 5 6 8 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# Db Eb E | <td>C C# Db D# Eb E F F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|9<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>1 1 2 1 1 1 2 1 1 2 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 4 5 6 7 9 10 11 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# Db D E E# | <td>C C# Db D# Eb E E# F# Gb G Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|10<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>1 1 2 1 1 1 2 1 1 1 2 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# Db D E E# | <td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|11<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>1 1 2 1 1 1 2 1 1 1 2 1 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 4 5 6 7 9 10 11 12 14 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# Db D E E# | <td>C C# Db D# Eb E E# F# Gb G G# A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|12<br /> | ||
</td> | </td> | ||
<td>1 1 1 1 | <td>1 1 1 2 1 1 2 1 1 1 2 1 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 1 2 3 | <td>0 1 2 3 5 6 7 9 10 11 12 14 15 16 17<br /> | ||
</td> | </td> | ||
<td>C C# Db D | <td>C C# Db D Eb E E# F# Gb G G# A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | <tr> | ||
<td>1|13<br /> | |||
<br /> | </td> | ||
<strong>magic[ | <td>1 1 1 2 1 1 1 2 1 1 2 1 1 1 2<br /> | ||
</td> | |||
<td>0 1 2 3 5 6 7 8 10 11 12 14 15 16 17<br /> | |||
<table class="wiki_table"> | </td> | ||
<td>C C# Db D Eb E E# F Gb G G# A A# Bb B<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>0|14<br /> | |||
</td> | |||
<td>1 1 1 2 1 1 1 2 1 1 1 2 1 1 2<br /> | |||
</td> | |||
<td>0 1 2 3 5 6 7 8 10 11 12 13 15 16 17<br /> | |||
</td> | |||
<td>C C# Db D Eb E E# F Gb G G# Ab A# Bb B<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:17:&lt;h2&gt; --><h2 id="toc8"><a name="MOS scales and modes of rank-2 temperaments-Magic"></a><!-- ws:end:WikiTextHeadingRule:17 --><a class="wiki_link" href="/Magic">Magic</a></h2> | |||
<br /> | |||
<strong>magic[7]</strong> (<a class="wiki_link" href="/3L%204s">3L+4s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 6\19 ~=5/4)<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<th>UDP<br /> | <th>UDP<br /> | ||
| Line 2,168: | Line 2,200: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|0<br /> | ||
</td> | </td> | ||
<td> | <td>5 1 5 1 5 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 6 11 12 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb E G G# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|1<br /> | ||
</td> | </td> | ||
<td> | <td>5 1 5 1 1 5 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 6 11 12 13 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb E G G# Ab B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|2<br /> | ||
</td> | </td> | ||
<td> | <td>5 1 1 5 1 5 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 6 7 12 13 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb E E# G# Ab B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|3<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 5 1 5 1 5 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 6 7 12 13 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# E E# G# Ab B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|4<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 5 1 5 1 1 5<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 6 7 12 13 14<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# E E# G# Ab A<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|5<br /> | ||
</td> | </td> | ||
<td>1 | <td>1 5 1 1 5 1 5<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 6 7 8 13 14<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# E E# F Ab A<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|6<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>1 1 5 1 5 1 5<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 7 8 13 14<br /> | ||
</td> | </td> | ||
<td>C C# Db | <td>C C# Db E# F Ab A<br /> | ||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<strong>magic[10]</strong> (<a class="wiki_link" href="/3L%207s">3L+7s</a> / CPG = 6\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> | ||
<tr> | <tr> | ||
<td> | <td>9|0<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>4 1 1 4 1 1 4 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 4 5 6 10 11 12 16 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C D# Eb E Gb G G# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|1<br /> | ||
</td> | </td> | ||
<td>1 1 | <td>4 1 1 4 1 1 1 4 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 4 5 6 10 11 12 13 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C D# Eb E Gb G G# Ab B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|2<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>4 1 1 1 4 1 1 4 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 4 5 6 7 11 12 13 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C D# Eb E E# G G# Ab B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|3<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>1 4 1 1 4 1 1 4 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 5 6 7 11 12 13 17 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Eb E E# G G# Ab B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4 | <td>5|4<br /> | ||
</td> | </td> | ||
<td>1 1 1 | <td>1 4 1 1 4 1 1 1 4 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 5 6 7 11 12 13 14 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Eb E E# G G# Ab A B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|5<br /> | ||
</td> | </td> | ||
<td>1 1 1 1 | <td>1 4 1 1 1 4 1 1 4 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 5 6 7 8 12 13 14 18<br /> | ||
</td> | </td> | ||
<td>C C# | <td>C C# Eb E E# F G# Ab A B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|6<br /> | ||
</td> | </td> | ||
<td>1 1 1 1 | <td>1 1 4 1 1 4 1 1 4 1<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 6 7 8 12 13 14 18<br /> | ||
</td> | </td> | ||
<td>C C# Db | <td>C C# Db E E# F G# Ab A B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|7<br /> | ||
</td> | </td> | ||
<td>1 1 1 1 | <td>1 1 4 1 1 4 1 1 1 4<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 6 7 8 12 13 14 15<br /> | ||
</td> | </td> | ||
<td>C C# Db | <td>C C# Db E E# F G# Ab A A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|8<br /> | ||
</td> | </td> | ||
<td>1 1 1 1 1 | <td>1 1 4 1 1 1 4 1 1 4<br /> | ||
</td> | </td> | ||
<td>0 1 2 | <td>0 1 2 6 7 8 9 13 14 15<br /> | ||
</td> | </td> | ||
<td>C C# Db | <td>C C# Db E E# F F# Ab A A#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
< | <tr> | ||
<td>0|9<br /> | |||
<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 /> | |||
| Line 2,339: | Line 2,396: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th> | <th>steps<br /> | ||
</th> | </th> | ||
<th> | <th>degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
| Line 2,347: | Line 2,404: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>12|0<br /> | ||
</td> | </td> | ||
<td> | <td>3 1 1 1 3 1 1 1 3 1 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 5 10 12 17<br /> | <td>0 3 4 5 6 9 10 11 12 15 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Eb Gb G# B<br /> | <td>C D D# Eb E F# Gb G G# A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11|1<br /> | ||
</td> | </td> | ||
<td> | <td>3 1 1 1 3 1 1 1 1 3 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 5 | <td>0 3 4 5 6 9 10 11 12 13 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Eb E# G# B<br /> | <td>C D D# Eb E F# Gb G G# Ab Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|2<br /> | ||
</td> | </td> | ||
<td> | <td>3 1 1 1 1 3 1 1 1 3 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 5 7 12 | <td>0 3 4 5 6 7 10 11 12 13 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Eb E# G# | <td>C D D# Eb E E# Gb G G# Ab Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|3<br /> | ||
</td> | </td> | ||
<td> | <td>1 3 1 1 1 3 1 1 1 3 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 4 5 6 7 10 11 12 13 16 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D# Eb E E# Gb G G# Ab Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|4<br /> | ||
</td> | </td> | ||
<td> | <td>1 3 1 1 1 3 1 1 1 1 3 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 4 5 6 7 10 11 12 13 14 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D# Eb E E# Gb G G# Ab A B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<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> | ||
<tr> | <tr> | ||
<td> | <td>6|6<br /> | ||
</td> | </td> | ||
<td>3 | <td>1 1 3 1 1 1 3 1 1 1 3 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 2 5 6 7 8 11 12 13 14 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# Db Eb E E# F G G# Ab A B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|7<br /> | ||
</td> | </td> | ||
<td>3 | <td>1 1 3 1 1 1 3 1 1 1 1 3 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 2 5 6 7 8 11 12 13 14 15 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# Db Eb E E# F G G# Ab A A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|8<br /> | ||
</td> | </td> | ||
<td>3 | <td>1 1 3 1 1 1 1 3 1 1 1 3 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 2 5 6 7 8 9 12 13 14 15 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# Db Eb E E# F F# G# Ab A A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|9<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 3 1 1 1 3 1 1 1 3 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 3 6 7 8 9 12 13 14 15 18<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D E E# F F# G# Ab A A# B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|10<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 3 1 1 1 3 1 1 1 1 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 3 6 7 8 9 12 13 14 15 16<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D E E# F F# G# Ab A A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|11<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 3 1 1 1 1 3 1 1 1 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 3 6 7 8 9 10 13 14 15 16<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C C# Db D E E# F F# Gb Ab A A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|12<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 1 3 1 1 1 3 1 1 1 3<br /> | ||
</td> | </td> | ||
<td>0 2 4 7 9 | <td>0 1 2 3 4 7 8 9 10 13 14 15 16<br /> | ||
</td> | </td> | ||
<td>C Db D# E# F# | <td>C C# Db D D# E# F F# Gb Ab A A# Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | |||
<br /> | |||
<strong>magic[16]</strong> (<a class="wiki_link" href="/3L%2013s">3L+13s</a> / CPG = 6\19)<br /> | |||
<table class="wiki_table"> | |||
<tr> | <tr> | ||
<th>UDP<br /> | |||
<th>UDP<br /> | |||
</th> | </th> | ||
<th> | <th>steps<br /> | ||
</th> | </th> | ||
<th> | <th>degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
| Line 2,511: | Line 2,551: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>15|0<br /> | ||
</td> | </td> | ||
<td>2 2 2 1 | <td>2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 4 6 | <td>0 2 3 4 5 6 8 9 10 11 12 14 15 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D# E | <td>C Db D D# Eb E F F# Gb G G# A A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>14|1<br /> | ||
</td> | </td> | ||
<td>2 2 2 1 | <td>2 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 4 6 | <td>0 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D# E | <td>C Db D D# Eb E F F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>13|2<br /> | ||
</td> | </td> | ||
<td>2 2 1 2 | <td>2 1 1 1 1 1 2 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 4 5 7 9 11 12 | <td>0 2 3 4 5 6 7 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D# Eb E# F# G G# A Bb B#<br /> | <td>C Db D D# Eb E E# F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>12|3<br /> | ||
</td> | </td> | ||
<td>2 2 1 2 | <td>1 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 6 7 9 10 11 12 13 15 16 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E E# F# Gb G G# Ab A# Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11|4<br /> | ||
</td> | </td> | ||
<td>2 2 1 2 | <td>1 2 1 1 1 1 2 1 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 6 7 9 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E E# F# Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>10|5<br /> | ||
</td> | </td> | ||
<td>2 1 2 2 | <td>1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 3 4 5 6 7 8 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# D D# Eb E E# F Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|6<br /> | ||
</td> | </td> | ||
<td>2 1 2 2 | <td>1 1 2 1 1 1 1 2 1 1 1 1 2 1 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D Eb E# F | <td>C C# Db D# Eb E E# F Gb G G# Ab A Bb B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|7<br /> | ||
</td> | </td> | ||
<td>2 1 2 2 1 | <td>1 1 2 1 1 1 1 2 1 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 1 2 4 5 6 7 8 10 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C Db D Eb E# F Gb G# A A# B<br /> | <td>C C# Db D# Eb E E# F Gb G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7|8<br /> | ||
</td> | </td> | ||
<td>1 2 2 2 1 | <td>1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 | <td>0 1 2 4 5 6 7 8 9 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C C# D Eb E# F | <td>C C# Db D# Eb E E# F F# G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|9<br /> | ||
</td> | </td> | ||
<td>1 2 2 2 1 | <td>1 1 1 2 1 1 1 1 2 1 1 1 1 2 1 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 5 7 8 | <td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 17 18<br /> | ||
</td> | </td> | ||
<td>C C# D Eb E# F | <td>C C# Db D Eb E E# F F# G G# Ab A A# B B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|10<br /> | ||
</td> | </td> | ||
<td>1 2 2 1 | <td>1 1 1 2 1 1 1 1 2 1 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 1 3 5 6 8 | <td>0 1 2 3 5 6 7 8 9 11 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C C# D Eb E F | <td>C C# Db D Eb E E# F F# G G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4|11<br /> | |||
<td>4| | |||
</td> | </td> | ||
<td> | <td>1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 5 8 13 16<br /> | <td>0 1 2 3 5 6 7 8 9 10 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C Eb F Ab Bb | <td>C C# Db D Eb E E# F F# Gb G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3| | <td>3|12<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2| | <td>2|13<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 3 8 | <td>0 1 2 3 4 6 7 8 9 10 12 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td>C D F G Bb | <td>C C# Db D D# E E# F F# Gb G# Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>1| | <td>1|14<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 3 8 11 14<br /> | <td>0 1 2 3 4 6 7 8 9 10 11 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td>C D F G A | <td>C C# Db D D# E E# F F# Gb G Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0| | <td>0|15<br /> | ||
</td> | </td> | ||
<td> | <td>1 1 1 1 1 2 1 1 1 1 2 1 1 1 1 2<br /> | ||
</td> | </td> | ||
<td>0 3 | <td>0 1 2 3 4 5 7 8 9 10 11 13 14 15 16 17<br /> | ||
</td> | </td> | ||
<td>C D E G A | <td>C C# Db D D# Eb E# F F# Gb G Ab A A# Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 2,705: | Line 2,713: | ||
<br /> | <br /> | ||
<strong> | <!-- ws:start:WikiTextHeadingRule:19:&lt;h2&gt; --><h2 id="toc9"><a name="MOS scales and modes of rank-2 temperaments-Sensi"></a><!-- ws:end:WikiTextHeadingRule:19 --><a class="wiki_link" href="/sensi">Sensi</a></h2> | ||
<br /> | |||
<strong>sensi[5]</strong> (<a class="wiki_link" href="/3L%202s">3L+2s</a> / <a class="wiki_link" href="/Modal%20UDP%20Notation">chroma-positive generator</a> = 12\19)<br /> | |||
| Line 2,712: | Line 2,722: | ||
<th>UDP<br /> | <th>UDP<br /> | ||
</th> | </th> | ||
<th>steps<br /> | <th>mode steps<br /> | ||
</th> | </th> | ||
<th>degrees<br /> | <th>mode degrees<br /> | ||
</th> | </th> | ||
<th>note names<br /> | <th>note names<br /> | ||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|0<br /> | ||
</td> | </td> | ||
<td> | <td>5 5 2 5 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 10 12 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb Gb G# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|1<br /> | ||
</td> | </td> | ||
<td> | <td>5 2 5 5 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 7 12 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb E# G# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|2<br /> | ||
</td> | </td> | ||
<td> | <td>5 2 5 2 5<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 5 7 12 14<br /> | ||
</td> | </td> | ||
<td>C | <td>C Eb E# G# A<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|3<br /> | ||
</td> | </td> | ||
<td> | <td>2 5 5 2 5<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 7 12 14<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db E# G# A<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>0|4<br /> | ||
</td> | </td> | ||
<td> | <td>2 5 2 5 5<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 7 9 14<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db E# F# A<br /> | ||
</td> | </td> | ||
</tr> | </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> | <tr> | ||
< | <th>UDP<br /> | ||
</ | </th> | ||
<td> | <th>mode steps<br /> | ||
</th> | |||
<th>mode degrees<br /> | |||
</th> | |||
<th>note names<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>7|0<br /> | |||
</td> | </td> | ||
<td> | <td>3 2 3 2 2 3 2 2<br /> | ||
</td> | </td> | ||
<td> | <td>0 3 5 8 10 12 15 17<br /> | ||
</td> | </td> | ||
<td> | <td>C D Eb F Gb G# A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|1<br /> | ||
</td> | </td> | ||
<td>2 3 3 2 | <td>3 2 2 3 2 3 2 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 3 5 7 10 12 15 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C D Eb E# Gb G# A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<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> | ||
<tr> | <tr> | ||
<td> | <td>4|3<br /> | ||
</td> | </td> | ||
<td>2 2 | <td>2 3 2 3 2 2 3 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 5 7 10 12 14 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C Db Eb E# Gb G# A B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>3|4<br /> | ||
</td> | </td> | ||
<td>2 2 | <td>2 3 2 2 3 2 3 2<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 5 7 9 12 14 17<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C Db Eb E# F# G# A B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>2|5<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 3 2 2 3 2 2 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 5 7 9 12 14 16<br /> | ||
</td> | </td> | ||
<td>C Db | <td>C Db Eb E# F# G# A Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1|6<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 3 2 3 2 2 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 7 9 12 14 16<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E# F# G# A Bb<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7 | <td>0|7<br /> | ||
</td> | </td> | ||
<td>2 | <td>2 2 3 2 2 3 2 3<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 7 9 11 14 16<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E# F# G A Bb<br /> | ||
</td> | </td> | ||
</tr> | </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> | <tr> | ||
<td> | <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> | ||
<td>2 1 2 | <td>2 2 2 1 2 2 2 1 2 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 7 9 11 13 14 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E E# F# G Ab A Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>9|1<br /> | ||
</td> | </td> | ||
<td>2 1 2 | <td>2 2 2 1 2 2 1 2 2 2 1<br /> | ||
</td> | </td> | ||
<td>0 2 | <td>0 2 4 6 7 9 11 12 14 16 18<br /> | ||
</td> | </td> | ||
<td>C Db D | <td>C Db D# E E# F# G G# A Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8|2<br /> | ||
</td> | </td> | ||
<td>1 2 2 | <td>2 2 1 2 2 2 1 2 2 2 1<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 5 7 9 11 12 14 16 18<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D# Eb E# F# G G# A Bb B#<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3 | <td>7|3<br /> | ||
</td> | </td> | ||
<td> | <td>2 2 1 2 2 2 1 2 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 5 7 9 11 12 14 16 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D# Eb E# F# G G# A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>6|4<br /> | ||
</td> | </td> | ||
<td> | <td>2 2 1 2 2 1 2 2 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 4 5 7 9 10 12 14 16 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D# Eb E# F# Gb G# A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5|5<br /> | ||
</td> | </td> | ||
<td>1 2 | <td>2 1 2 2 2 1 2 2 2 1 2<br /> | ||
</td> | </td> | ||
<td>0 | <td>0 2 3 5 7 9 10 12 14 16 17<br /> | ||
</td> | </td> | ||
<td>C | <td>C Db D Eb E# F# Gb G# A Bb B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>4|6<br /> | ||
</td> | </td> | ||
<td> | <td>2 1 2 2 2 1 2 2 1 2 2<br /> | ||
</td> | </td> | ||
<td>0 1 3 | <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> | ||
<td> | <td>0 1 3 5 6 8 10 12 13 15 17<br /> | ||
</td> | </td> | ||
<td><br /> | <td>C C# D Eb E F Gb G# Ab A# B<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
<br /> | |||
<br /> | <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> | <!-- 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> | ||