Mavila temperament modal harmony: Difference between revisions

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**Imported revision 284059182 - 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:mbattaglia1|mbattaglia1]] and made on <tt>2011-12-09 01:48:57 UTC</tt>.<br>
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-12-09 02:11:08 UTC</tt>.<br>
: The original revision id was <tt>284056658</tt>.<br>
: The original revision id was <tt>284059182</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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These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The "anti" and "super" prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.
These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The "anti" and "super" prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.


The 6|0, 5|1, 4|2 markings are an instance of [[Modal UDP Notation]].
===How to read these charts===
* The 6|0, 5|1, 4|2 markings are an instance of [[Modal UDP Notation]].
* Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.
* Additionally, "diatonic" names make use of the following abbreviations:
** SM - Supermajor
** M - Major
** N - Neutral
** m - Minor
** sm - Subminor


Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.


==2L3s Pentatonic MOS: Pelogic==  
=2L3s Pentatonic MOS: Pelogic=  
4|0 - LsLss - Patet deng
4|0 - LsLss - Patet deng
3|1 - LssLs - Patet dang
3|1 - LssLs - Patet dang
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0|4 - ssLsL - Patet ding
0|4 - ssLsL - Patet ding


==2L5s Heptatonic MOS: Antidiatonic==  
=2L5s Heptatonic MOS: Antidiatonic=  
6|0 - LssLsss - (Anti)Locrian
6|0 - LssLsss - (Anti)Locrian
5|1 - LsssLss - (Anti)Phrygian
5|1 - LsssLss - (Anti)Phrygian
Line 37: Line 44:


===Transversal===  
===Transversal===  
||~ **UDP** ||~ **Imprint** ||~ **Name** ||~ **1** ||~ **2** ||~ **3** ||~ **4** ||~ **5** ||~ **6** ||~ **7** ||
||= **UDP** ||= **Imprint** ||= **(Anti)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||
|| 6|0 || LssLsss || (Anti)Locrian || 1/1 ||= &lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;14/9&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 6|0 ||= LssLsss ||= Locrian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 5|1 ||= LsssLss ||&lt; (Anti)Phrygian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 5|1 ||= LsssLss ||= Phrygian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 4|2 ||= sLssLss ||&lt; (Anti)Aeolian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 4|2 ||= sLssLss ||= Aeolian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 3|3 ||= sLsssLs ||&lt; (Anti)Dorian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 3|3 ||= sLsssLs ||= Dorian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 2|4 ||= ssLssLs ||&lt; (Anti)Mixolydian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 2|4 ||= ssLssLs ||= Mixolydian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt; ||
||= 1|5 ||= ssLsssL ||&lt; (Anti)Ionian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;7/4&lt;/span&gt; ||
||= 1|5 ||= ssLsssL ||= Ionian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;7/4&lt;/span&gt; ||
||= 0|6 ||= sssLssL ||&lt; (Anti)Lydian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;7/4&lt;/span&gt; ||
||= 0|6 ||= sssLssL ||= Lydian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;7/4&lt;/span&gt; ||
 
==="Diatonic"-Based Names===
||~ **UDP** ||~ **Imprint** ||~ **Name** ||~ **1** ||~ **2** ||~ **3** ||~ **4** ||~ **5** ||~ **6** ||~ **7** ||
|| 6|0 ||= LssLsss || (Anti)Locrian || P1 ||= &lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm6&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; || &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 5|1 ||= LsssLss ||&lt; (Anti)Phrygian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 4|2 ||= sLssLss ||&lt; (Anti)Aeolian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 3|3 ||= sLsssLs ||&lt; (Anti)Dorian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 2|4 ||= ssLssLs ||&lt; (Anti)Mixolydian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 1|5 ||= ssLsssL ||&lt; (Anti)Ionian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm7&lt;/span&gt; ||
||= 0|6 ||= sssLssL ||&lt; (Anti)Lydian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm7&lt;/span&gt; ||
 


==="Diatonic" Names===
||= **UDP** ||= **Imprint** ||= **(Anti)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||
||= 6|0 ||= LssLsss ||= Locrian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 5|1 ||= LsssLss ||= Phrygian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 4|2 ||= sLssLss ||= Aeolian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 3|3 ||= sLsssLs ||= Dorian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 2|4 ||= ssLssLs ||= Mixolydian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt; ||
||= 1|5 ||= ssLsssL ||= Ionian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm7&lt;/span&gt; ||
||= 0|6 ||= sssLssL ||= Lydian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm7&lt;/span&gt; ||


=7L2s Nonatonic MOS: Superdiatonic=  
=7L2s Nonatonic MOS: Superdiatonic=  
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===Transversal===  
===Transversal===  
||= **UDP** ||= **Imprint** ||= **(Super)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||= **8** ||= **9** ||
||= 8|0 ||= LLLLsLLLs ||= Lydian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;21/11&lt;/span&gt; ||
||= 7|1 ||= LLLsLLLLs ||= Ionian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;21/11&lt;/span&gt; ||
||= 6|2 ||= LLLsLLLsL ||= Mixolydian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 5|3 ||= LLsLLLLsL ||= Corinthian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 4|4 ||= LLsLLLsLL ||= Olympian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 3|5 ||= LsLLLLsLL ||= Dorian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 2|6 ||= LsLLLsLLL ||= Aeolian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 1|7 ||= sLLLLsLLL ||= Phrygian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;22/21&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 0|8 ||= sLLLsLLLL ||= Locrian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;22/21&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;10/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||


||~ **UDP** ||~ **Imprint** ||~ **Name** ||~ **1** ||~ **2** ||~ **3** ||~ **4** ||~ **5** ||~ **6** ||~ **7** ||~ **8** ||~ **9** ||
==="Diatonic" Names===
||= 8|0 ||= LLLLsLLLs ||&lt; (Super)Lydian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;21/11&lt;/span&gt; ||
||= **UDP** ||= **Imprint** ||= **(Super)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||= **8** ||= **9** ||
||= 7|1 ||= LLLsLLLLs ||&lt; (Super)Ionian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;21/11&lt;/span&gt; ||
||= 8|0 ||= LLLLsLLLs ||= Lydian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;A4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;SM7&lt;/span&gt; ||
||= 6|2 ||= LLLsLLLsL ||&lt; (Super)Mixolydian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;9/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 7|1 ||= LLLsLLLLs ||= Ionian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;SM7&lt;/span&gt; ||
||= 5|3 ||= LLsLLLLsL ||&lt; (Super)Corinthian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;7/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 6|2 ||= LLLsLLLsL ||= Mixolydian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 4|4 ||= LLsLLLsLL ||&lt; (Super)Olympian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;6/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 5|3 ||= LLsLLLLsL ||= Corinthian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 3|5 ||= LsLLLLsLL ||&lt; (Super)Dorian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;8/5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 4|4 ||= LLsLLLsLL ||= Olympian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 2|6 ||= LsLLLsLLL ||&lt; (Super)Aeolian ||= 1/1 ||= &lt;span style="color: #0000ff;"&gt;12/11&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 3|5 ||= LsLLLLsLL ||= Dorian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 1|7 ||= sLLLLsLLL ||&lt; (Super)Phrygian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;22/21&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;3/2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 2|6 ||= LsLLLsLLL ||= Aeolian ||= P1 ||= &lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 0|8 ||= sLLLsLLLL ||&lt; (Super)Locrian ||= 1/1 ||= &lt;span style="color: #ff0000;"&gt;22/21&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;8/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;4/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;10/7&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;14/9&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;5/3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt; ||
||= 1|7 ||= sLLLLsLLL ||= Phrygian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;sm2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||
||= 0|8 ||= sLLLsLLLL ||= Locrian ||= P1 ||= &lt;span style="color: #ff0000;"&gt;sm2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;d5&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt; ||= &lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt; ||


Each "super" mode contains the corresponding "anti" mode below it, and two adjacent modes as well (though pathological at the extreme ends of the modal continuum). The superdiatonic modes also resemble the shape of the meantone diatonic modes somewhat, so that LLLsLLLLs resembles the meantone LLLsLLs Ionian mode, and also contains the mavila ssLsssL anti-Ionian mode as well. Additionally, sLLLsLLLL resembles the diatonic sLLsLLL Locrian mode, and also contains the mavila LssLsss anti-Ionian mode.
Each "super" mode contains the corresponding "anti" mode below it, and two adjacent modes as well (though pathological at the extreme ends of the modal continuum). The superdiatonic modes also resemble the shape of the meantone diatonic modes somewhat, so that LLLsLLLLs resembles the meantone LLLsLLs Ionian mode, and also contains the mavila ssLsssL anti-Ionian mode as well. Additionally, sLLLsLLLL resembles the diatonic sLLsLLL Locrian mode, and also contains the mavila LssLsss anti-Ionian mode.
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These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The &amp;quot;anti&amp;quot; and &amp;quot;super&amp;quot; prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.&lt;br /&gt;
These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The &amp;quot;anti&amp;quot; and &amp;quot;super&amp;quot; prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The 6|0, 5|1, 4|2 markings are an instance of &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;Modal UDP Notation&lt;/a&gt;.&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--How to read these charts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;How to read these charts&lt;/h3&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;The 6|0, 5|1, 4|2 markings are an instance of &lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;Modal UDP Notation&lt;/a&gt;.&lt;/li&gt;&lt;li&gt;Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.&lt;/li&gt;&lt;li&gt;Additionally, &amp;quot;diatonic&amp;quot; names make use of the following abbreviations:&lt;ul&gt;&lt;li&gt;SM - Supermajor&lt;/li&gt;&lt;li&gt;M - Major&lt;/li&gt;&lt;li&gt;N - Neutral&lt;/li&gt;&lt;li&gt;m - Minor&lt;/li&gt;&lt;li&gt;sm - Subminor&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-2L3s Pentatonic MOS: Pelogic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2L3s Pentatonic MOS: Pelogic&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="x2L3s Pentatonic MOS: Pelogic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;2L3s Pentatonic MOS: Pelogic&lt;/h1&gt;
  4|0 - LsLss - Patet deng&lt;br /&gt;
  4|0 - LsLss - Patet deng&lt;br /&gt;
3|1 - LssLs - Patet dang&lt;br /&gt;
3|1 - LssLs - Patet dang&lt;br /&gt;
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0|4 - ssLsL - Patet ding&lt;br /&gt;
0|4 - ssLsL - Patet ding&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-2L5s Heptatonic MOS: Antidiatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;2L5s Heptatonic MOS: Antidiatonic&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="x2L5s Heptatonic MOS: Antidiatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;2L5s Heptatonic MOS: Antidiatonic&lt;/h1&gt;
  6|0 - LssLsss - (Anti)Locrian&lt;br /&gt;
  6|0 - LssLsss - (Anti)Locrian&lt;br /&gt;
5|1 - LsssLss - (Anti)Phrygian&lt;br /&gt;
5|1 - LsssLss - (Anti)Phrygian&lt;br /&gt;
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In cyclic permutational order: Ionian Dorian Phrygian Lydian Mixolydian Aeolian Locrian&lt;br /&gt;
In cyclic permutational order: Ionian Dorian Phrygian Lydian Mixolydian Aeolian Locrian&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-2L5s Heptatonic MOS: Antidiatonic-Transversal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Transversal&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x2L5s Heptatonic MOS: Antidiatonic--Transversal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Transversal&lt;/h3&gt;
   
   


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Name&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;(Anti)Name&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6|0&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;LssLsss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LssLsss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(Anti)Locrian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Locrian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;8/7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;5/4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;4/3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;14/9&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;14/9&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;5/3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;11/6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 173: Line 188:
         &lt;td style="text-align: center;"&gt;LsssLss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LsssLss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Phrygian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Phrygian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 195: Line 210:
         &lt;td style="text-align: center;"&gt;sLssLss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLssLss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Aeolian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Aeolian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 217: Line 232:
         &lt;td style="text-align: center;"&gt;sLsssLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLsssLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Dorian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Dorian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 239: Line 254:
         &lt;td style="text-align: center;"&gt;ssLssLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;ssLssLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Mixolydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Mixolydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 261: Line 276:
         &lt;td style="text-align: center;"&gt;ssLsssL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;ssLsssL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Ionian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ionian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 283: Line 298:
         &lt;td style="text-align: center;"&gt;sssLssL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sssLssL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Lydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Lydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 303: Line 318:


&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-2L5s Heptatonic MOS: Antidiatonic-&amp;quot;Diatonic&amp;quot;-Based Names"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&amp;quot;Diatonic&amp;quot;-Based Names&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x2L5s Heptatonic MOS: Antidiatonic--&amp;quot;Diatonic&amp;quot; Names"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&amp;quot;Diatonic&amp;quot; Names&lt;/h3&gt;
   
   


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Name&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;(Anti)Name&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6|0&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;6|0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;LssLsss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LssLsss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(Anti)Locrian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Locrian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P4&lt;/span&gt;&lt;br /&gt;
Line 346: Line 361:
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm6&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 356: Line 371:
         &lt;td style="text-align: center;"&gt;LsssLss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LsssLss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Phrygian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Phrygian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 378: Line 393:
         &lt;td style="text-align: center;"&gt;sLssLss&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLssLss&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Aeolian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Aeolian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 400: Line 415:
         &lt;td style="text-align: center;"&gt;sLsssLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLsssLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Dorian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Dorian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 422: Line 437:
         &lt;td style="text-align: center;"&gt;ssLssLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;ssLssLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Mixolydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Mixolydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 444: Line 459:
         &lt;td style="text-align: center;"&gt;ssLsssL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;ssLsssL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Ionian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ionian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 466: Line 481:
         &lt;td style="text-align: center;"&gt;sssLssL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sssLssL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Anti)Lydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Lydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
Line 486: Line 501:


&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="x7L2s Nonatonic MOS: Superdiatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;7L2s Nonatonic MOS: Superdiatonic&lt;/h1&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="x7L2s Nonatonic MOS: Superdiatonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;7L2s Nonatonic MOS: Superdiatonic&lt;/h1&gt;
  8|0 - LLLLsLLLs - (Super)Lydian&lt;br /&gt;
  8|0 - LLLLsLLLs - (Super)Lydian&lt;br /&gt;
7|1 - LLLsLLLLs - (Super)Ionian&lt;br /&gt;
7|1 - LLLsLLLLs - (Super)Ionian&lt;br /&gt;
Line 501: Line 514:
In cyclic permutational order: Ionian Corinthian Dorian Phrygian Lydian Mixolydian Olympian Aeolian Locrian&lt;br /&gt;
In cyclic permutational order: Ionian Corinthian Dorian Phrygian Lydian Mixolydian Olympian Aeolian Locrian&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x7L2s Nonatonic MOS: Superdiatonic--Transversal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Transversal&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x7L2s Nonatonic MOS: Superdiatonic--Transversal"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Transversal&lt;/h3&gt;
  &lt;br /&gt;
   
 


&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;Name&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;(Super)Name&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;8&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;8&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
         &lt;th&gt;&lt;strong&gt;9&lt;/strong&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;strong&gt;9&lt;/strong&gt;&lt;br /&gt;
&lt;/th&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
Line 537: Line 549:
         &lt;td style="text-align: center;"&gt;LLLLsLLLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LLLLsLLLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Lydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Lydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 563: Line 575:
         &lt;td style="text-align: center;"&gt;LLLsLLLLs&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LLLsLLLLs&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Ionian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ionian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 589: Line 601:
         &lt;td style="text-align: center;"&gt;LLLsLLLsL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LLLsLLLsL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Mixolydian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Mixolydian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 615: Line 627:
         &lt;td style="text-align: center;"&gt;LLsLLLLsL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LLsLLLLsL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Corinthian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Corinthian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 641: Line 653:
         &lt;td style="text-align: center;"&gt;LLsLLLsLL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LLsLLLsLL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Olympian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Olympian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 667: Line 679:
         &lt;td style="text-align: center;"&gt;LsLLLLsLL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LsLLLLsLL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Dorian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Dorian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 693: Line 705:
         &lt;td style="text-align: center;"&gt;LsLLLsLLL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;LsLLLsLLL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Aeolian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Aeolian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 719: Line 731:
         &lt;td style="text-align: center;"&gt;sLLLLsLLL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLLLLsLLL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Phrygian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Phrygian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 745: Line 757:
         &lt;td style="text-align: center;"&gt;sLLLsLLLL&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;sLLLsLLLL&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;(Super)Locrian&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Locrian&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
Line 764: Line 776:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;11/6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x7L2s Nonatonic MOS: Superdiatonic--&amp;quot;Diatonic&amp;quot; Names"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&amp;quot;Diatonic&amp;quot; Names&lt;/h3&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;UDP&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;Imprint&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;(Super)Name&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;1&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;2&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;3&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;4&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;5&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;6&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;7&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;8&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;strong&gt;9&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;8|0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LLLLsLLLs&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Lydian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;A4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;7|1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LLLsLLLLs&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Ionian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;6|2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LLLsLLLsL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Mixolydian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;SM3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;5|3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LLsLLLLsL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Corinthian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;sm7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;4|4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LLsLLLsLL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Olympian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;3|5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LsLLLLsLL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Dorian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;m6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;2|6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;LsLLLsLLL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Aeolian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;N2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;1|7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;sLLLLsLLL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Phrygian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;sm2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #0000ff;"&gt;P5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;0|8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;sLLLsLLLL&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Locrian&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;sm2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;SM2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;P4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;d5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;sm6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;M6&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;span style="color: #ff0000;"&gt;N7&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 02:11, 9 December 2011

IMPORTED REVISION FROM WIKISPACES

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This revision was by author mbattaglia1 and made on 2011-12-09 02:11:08 UTC.
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Original Wikitext content:

Mavila is the regular temperament eliminating [[135_128|135/128]]. As a consequence, this means that it will have a generator significantly flat of 3/2 so that 4 of them add up to a minor third.

For any decent tuning of mavila, another consequence of this tempering is that we end up with an "antidiatonic" 7-note MOS, such that the LLsLLLs melodic pattern becomes inverted into the ssLsssL pattern. (see [[2L 5s]])

Additionally, while mavila supports 5-note and 7-note MOS's like meantone, it has an additional 9-note "superdiatonic" MOS scale as well, in which the LLsLLLs melodic pattern becomes extended into the LLLsLLLLs pattern. (see[[7L 2s| 7L 2s]])

These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The "anti" and "super" prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.

===How to read these charts=== 
* The 6|0, 5|1, 4|2 markings are an instance of [[Modal UDP Notation]].
* Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.
* Additionally, "diatonic" names make use of the following abbreviations:
** SM - Supermajor
** M - Major
** N - Neutral
** m - Minor
** sm - Subminor


=2L3s Pentatonic MOS: Pelogic= 
4|0 - LsLss - Patet deng
3|1 - LssLs - Patet dang
2|2 - sLsLs - Patet dong
3|1 - sLssL - Patet dung
0|4 - ssLsL - Patet ding

=2L5s Heptatonic MOS: Antidiatonic= 
6|0 - LssLsss - (Anti)Locrian
5|1 - LsssLss - (Anti)Phrygian
4|2 - sLssLss - (Anti)Aeolian ("major")
3|3 - sLsssLs - (Anti)Dorian
2|4 - ssLssLs - (Anti)Mixolydian ("harmonic minor")
1|5 - ssLsssL - (Anti)Ionian ("minor")
0|6 - sssLssL - (Anti)Lydian

In cyclic permutational order: Ionian Dorian Phrygian Lydian Mixolydian Aeolian Locrian

===Transversal=== 
||= **UDP** ||= **Imprint** ||= **(Anti)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||
||= 6|0 ||= LssLsss ||= Locrian ||= 1/1 ||= <span style="color: #0000ff;">8/7</span> ||= <span style="color: #0000ff;">5/4</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #0000ff;">14/9</span> ||= <span style="color: #0000ff;">5/3</span> ||= <span style="color: #0000ff;">11/6</span> ||
||= 5|1 ||= LsssLss ||= Phrygian ||= 1/1 ||= <span style="color: #0000ff;">8/7</span> ||= <span style="color: #0000ff;">5/4</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #0000ff;">5/3</span> ||= <span style="color: #0000ff;">11/6</span> ||
||= 4|2 ||= sLssLss ||= Aeolian ||= 1/1 ||= <span style="color: #ff0000;">12/11</span> ||= <span style="color: #0000ff;">5/4</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #0000ff;">5/3</span> ||= <span style="color: #0000ff;">11/6</span> ||
||= 3|3 ||= sLsssLs ||= Dorian ||= 1/1 ||= <span style="color: #ff0000;">12/11</span> ||= <span style="color: #0000ff;">5/4</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #ff0000;">8/5</span> ||= <span style="color: #0000ff;">11/6</span> ||
||= 2|4 ||= ssLssLs ||= Mixolydian ||= 1/1 ||= <span style="color: #ff0000;">12/11</span> ||= <span style="color: #ff0000;">6/5</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #ff0000;">8/5</span> ||= <span style="color: #0000ff;">11/6</span> ||
||= 1|5 ||= ssLsssL ||= Ionian ||= 1/1 ||= <span style="color: #ff0000;">12/11</span> ||= <span style="color: #ff0000;">6/5</span> ||= <span style="color: #0000ff;">4/3</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #ff0000;">8/5</span> ||= <span style="color: #ff0000;">7/4</span> ||
||= 0|6 ||= sssLssL ||= Lydian ||= 1/1 ||= <span style="color: #ff0000;">12/11</span> ||= <span style="color: #ff0000;">6/5</span> ||= <span style="color: #ff0000;">9/7</span> ||= <span style="color: #ff0000;">3/2</span> ||= <span style="color: #ff0000;">8/5</span> ||= <span style="color: #ff0000;">7/4</span> ||

==="Diatonic" Names=== 
||= **UDP** ||= **Imprint** ||= **(Anti)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||
||= 6|0 ||= LssLsss ||= Locrian ||= P1 ||= <span style="color: #0000ff;">SM2</span> ||= <span style="color: #0000ff;">M3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #0000ff;">sm6</span> ||= <span style="color: #0000ff;">M6</span> ||= <span style="color: #0000ff;">N7</span> ||
||= 5|1 ||= LsssLss ||= Phrygian ||= P1 ||= <span style="color: #0000ff;">SM2</span> ||= <span style="color: #0000ff;">M3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #0000ff;">M6</span> ||= <span style="color: #0000ff;">N7</span> ||
||= 4|2 ||= sLssLss ||= Aeolian ||= P1 ||= <span style="color: #ff0000;">N2</span> ||= <span style="color: #0000ff;">M3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #0000ff;">M6</span> ||= <span style="color: #0000ff;">N7</span> ||
||= 3|3 ||= sLsssLs ||= Dorian ||= P1 ||= <span style="color: #ff0000;">N2</span> ||= <span style="color: #0000ff;">M3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #ff0000;">m6</span> ||= <span style="color: #0000ff;">N7</span> ||
||= 2|4 ||= ssLssLs ||= Mixolydian ||= P1 ||= <span style="color: #ff0000;">N2</span> ||= <span style="color: #ff0000;">m3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #ff0000;">m6</span> ||= <span style="color: #0000ff;">N7</span> ||
||= 1|5 ||= ssLsssL ||= Ionian ||= P1 ||= <span style="color: #ff0000;">N2</span> ||= <span style="color: #ff0000;">m3</span> ||= <span style="color: #0000ff;">P4</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #ff0000;">m6</span> ||= <span style="color: #ff0000;">sm7</span> ||
||= 0|6 ||= sssLssL ||= Lydian ||= P1 ||= <span style="color: #ff0000;">N2</span> ||= <span style="color: #ff0000;">m3</span> ||= <span style="color: #ff0000;">SM3</span> ||= <span style="color: #ff0000;">P5</span> ||= <span style="color: #ff0000;">m6</span> ||= <span style="color: #ff0000;">sm7</span> ||

=7L2s Nonatonic MOS: Superdiatonic= 
8|0 - LLLLsLLLs - (Super)Lydian
7|1 - LLLsLLLLs - (Super)Ionian
6|2 - LLLsLLLsL - (Super)Mixolydian
5|3 - LLsLLLLsL - (Super)Corinthian
4|4 - LLsLLLsLL - (Super)Olympian
3|5 - LsLLLLsLL - (Super)Dorian
2|6 - LsLLLsLLL - (Super)Aeolian
1|7 - sLLLLsLLL - (Super)Phrygian
0|8 - sLLLsLLLL - (Super)Locrian

In cyclic permutational order: Ionian Corinthian Dorian Phrygian Lydian Mixolydian Olympian Aeolian Locrian

===Transversal=== 
||= **UDP** ||= **Imprint** ||= **(Super)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||= **8** ||= **9** ||
||= 8|0 ||= LLLLsLLLs ||= Lydian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #0000ff;">6/5</span> ||= <span style="color: #0000ff;">9/7</span> ||= <span style="color: #0000ff;">7/5</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #0000ff;">7/4</span> ||= <span style="color: #0000ff;">21/11</span> ||
||= 7|1 ||= LLLsLLLLs ||= Ionian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #0000ff;">6/5</span> ||= <span style="color: #0000ff;">9/7</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #0000ff;">7/4</span> ||= <span style="color: #0000ff;">21/11</span> ||
||= 6|2 ||= LLLsLLLsL ||= Mixolydian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #0000ff;">6/5</span> ||= <span style="color: #0000ff;">9/7</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #0000ff;">7/4</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 5|3 ||= LLsLLLLsL ||= Corinthian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #0000ff;">6/5</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #0000ff;">7/4</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 4|4 ||= LLsLLLsLL ||= Olympian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #0000ff;">6/5</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #ff0000;">5/3</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 3|5 ||= LsLLLLsLL ||= Dorian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #ff0000;">8/7</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #0000ff;">8/5</span> ||= <span style="color: #ff0000;">5/3</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 2|6 ||= LsLLLsLLL ||= Aeolian ||= 1/1 ||= <span style="color: #0000ff;">12/11</span> ||= <span style="color: #ff0000;">8/7</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #ff0000;">14/9</span> ||= <span style="color: #ff0000;">5/3</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 1|7 ||= sLLLLsLLL ||= Phrygian ||= 1/1 ||= <span style="color: #ff0000;">22/21</span> ||= <span style="color: #ff0000;">8/7</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #0000ff;">3/2</span> ||= <span style="color: #ff0000;">14/9</span> ||= <span style="color: #ff0000;">5/3</span> ||= <span style="color: #ff0000;">11/6</span> ||
||= 0|8 ||= sLLLsLLLL ||= Locrian ||= 1/1 ||= <span style="color: #ff0000;">22/21</span> ||= <span style="color: #ff0000;">8/7</span> ||= <span style="color: #ff0000;">5/4</span> ||= <span style="color: #ff0000;">4/3</span> ||= <span style="color: #ff0000;">10/7</span> ||= <span style="color: #ff0000;">14/9</span> ||= <span style="color: #ff0000;">5/3</span> ||= <span style="color: #ff0000;">11/6</span> ||

==="Diatonic" Names=== 
||= **UDP** ||= **Imprint** ||= **(Super)Name** ||= **1** ||= **2** ||= **3** ||= **4** ||= **5** ||= **6** ||= **7** ||= **8** ||= **9** ||
||= 8|0 ||= LLLLsLLLs ||= Lydian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #0000ff;">m3</span> ||= <span style="color: #0000ff;">SM3</span> ||= <span style="color: #0000ff;">A4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #0000ff;">sm7</span> ||= <span style="color: #0000ff;">SM7</span> ||
||= 7|1 ||= LLLsLLLLs ||= Ionian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #0000ff;">m3</span> ||= <span style="color: #0000ff;">SM3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #0000ff;">sm7</span> ||= <span style="color: #0000ff;">SM7</span> ||
||= 6|2 ||= LLLsLLLsL ||= Mixolydian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #0000ff;">m3</span> ||= <span style="color: #0000ff;">SM3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #0000ff;">sm7</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 5|3 ||= LLsLLLLsL ||= Corinthian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #0000ff;">m3</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #0000ff;">sm7</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 4|4 ||= LLsLLLsLL ||= Olympian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #0000ff;">m3</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #ff0000;">M6</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 3|5 ||= LsLLLLsLL ||= Dorian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #ff0000;">SM2</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #0000ff;">m6</span> ||= <span style="color: #ff0000;">M6</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 2|6 ||= LsLLLsLLL ||= Aeolian ||= P1 ||= <span style="color: #0000ff;">N2</span> ||= <span style="color: #ff0000;">SM2</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #ff0000;">sm6</span> ||= <span style="color: #ff0000;">M6</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 1|7 ||= sLLLLsLLL ||= Phrygian ||= P1 ||= <span style="color: #ff0000;">sm2</span> ||= <span style="color: #ff0000;">SM2</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #0000ff;">P5</span> ||= <span style="color: #ff0000;">sm6</span> ||= <span style="color: #ff0000;">M6</span> ||= <span style="color: #ff0000;">N7</span> ||
||= 0|8 ||= sLLLsLLLL ||= Locrian ||= P1 ||= <span style="color: #ff0000;">sm2</span> ||= <span style="color: #ff0000;">SM2</span> ||= <span style="color: #ff0000;">M3</span> ||= <span style="color: #ff0000;">P4</span> ||= <span style="color: #ff0000;">d5</span> ||= <span style="color: #ff0000;">sm6</span> ||= <span style="color: #ff0000;">M6</span> ||= <span style="color: #ff0000;">N7</span> ||

Each "super" mode contains the corresponding "anti" mode below it, and two adjacent modes as well (though pathological at the extreme ends of the modal continuum). The superdiatonic modes also resemble the shape of the meantone diatonic modes somewhat, so that LLLsLLLLs resembles the meantone LLLsLLs Ionian mode, and also contains the mavila ssLsssL anti-Ionian mode as well. Additionally, sLLLsLLLL resembles the diatonic sLLsLLL Locrian mode, and also contains the mavila LssLsss anti-Ionian mode.

Since there are only seven diatonic modes, two superdiatonic modes need additional names beyond the usual gamut of options. These two modes present themselves as "mixed" modes, which begin with the LLs tetrachord, and hence contain both the ~300 cent minor third and the ~375 cent major third. These are the only two modes to exhibit this behavior. They're interspersed on the rotational continuum between Ionian and Dorian, and Mixolydian and Aeolian.

As were the original modes named after regions of ancient Greece, so are these new superdiatonic extensions. The one between Ionian and Dorian is called Corinthian, after the Greek island of Corinth, set up so that the Ionian -> Corinthian -> Dorian cyclic sequence will resemble the columns of ancient Greek architecture. The one between Mixolydian and Aeolian, which is the symmetrical LLsLLLsLL scale, has a number of noteworthy theoretical properties, in that it contains every modal rotation of mavila[5], and hence the entire 5-limit tonality diamond; it was given the name of Olympian to match its unique status in this regard.

Original HTML content:

<html><head><title>Mavila Temperament Modal Harmony</title></head><body>Mavila is the regular temperament eliminating <a class="wiki_link" href="/135_128">135/128</a>. As a consequence, this means that it will have a generator significantly flat of 3/2 so that 4 of them add up to a minor third.<br />
<br />
For any decent tuning of mavila, another consequence of this tempering is that we end up with an &quot;antidiatonic&quot; 7-note MOS, such that the LLsLLLs melodic pattern becomes inverted into the ssLsssL pattern. (see <a class="wiki_link" href="/2L%205s">2L 5s</a>)<br />
<br />
Additionally, while mavila supports 5-note and 7-note MOS's like meantone, it has an additional 9-note &quot;superdiatonic&quot; MOS scale as well, in which the LLsLLLs melodic pattern becomes extended into the LLLsLLLLs pattern. (see<a class="wiki_link" href="/7L%202s"> 7L 2s</a>)<br />
<br />
These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7]. The &quot;anti&quot; and &quot;super&quot; prefixes can be left in to explicitly distinguish which mode you're talking about, or can be omitted for convention.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--How to read these charts"></a><!-- ws:end:WikiTextHeadingRule:0 -->How to read these charts</h3>
 <ul><li>The 6|0, 5|1, 4|2 markings are an instance of <a class="wiki_link" href="/Modal%20UDP%20Notation">Modal UDP Notation</a>.</li><li>Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.</li><li>Additionally, &quot;diatonic&quot; names make use of the following abbreviations:<ul><li>SM - Supermajor</li><li>M - Major</li><li>N - Neutral</li><li>m - Minor</li><li>sm - Subminor</li></ul></li></ul><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x2L3s Pentatonic MOS: Pelogic"></a><!-- ws:end:WikiTextHeadingRule:2 -->2L3s Pentatonic MOS: Pelogic</h1>
 4|0 - LsLss - Patet deng<br />
3|1 - LssLs - Patet dang<br />
2|2 - sLsLs - Patet dong<br />
3|1 - sLssL - Patet dung<br />
0|4 - ssLsL - Patet ding<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x2L5s Heptatonic MOS: Antidiatonic"></a><!-- ws:end:WikiTextHeadingRule:4 -->2L5s Heptatonic MOS: Antidiatonic</h1>
 6|0 - LssLsss - (Anti)Locrian<br />
5|1 - LsssLss - (Anti)Phrygian<br />
4|2 - sLssLss - (Anti)Aeolian (&quot;major&quot;)<br />
3|3 - sLsssLs - (Anti)Dorian<br />
2|4 - ssLssLs - (Anti)Mixolydian (&quot;harmonic minor&quot;)<br />
1|5 - ssLsssL - (Anti)Ionian (&quot;minor&quot;)<br />
0|6 - sssLssL - (Anti)Lydian<br />
<br />
In cyclic permutational order: Ionian Dorian Phrygian Lydian Mixolydian Aeolian Locrian<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x2L5s Heptatonic MOS: Antidiatonic--Transversal"></a><!-- ws:end:WikiTextHeadingRule:6 -->Transversal</h3>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>UDP</strong><br />
</td>
        <td style="text-align: center;"><strong>Imprint</strong><br />
</td>
        <td style="text-align: center;"><strong>(Anti)Name</strong><br />
</td>
        <td style="text-align: center;"><strong>1</strong><br />
</td>
        <td style="text-align: center;"><strong>2</strong><br />
</td>
        <td style="text-align: center;"><strong>3</strong><br />
</td>
        <td style="text-align: center;"><strong>4</strong><br />
</td>
        <td style="text-align: center;"><strong>5</strong><br />
</td>
        <td style="text-align: center;"><strong>6</strong><br />
</td>
        <td style="text-align: center;"><strong>7</strong><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6|0<br />
</td>
        <td style="text-align: center;">LssLsss<br />
</td>
        <td style="text-align: center;">Locrian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">14/9</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5|1<br />
</td>
        <td style="text-align: center;">LsssLss<br />
</td>
        <td style="text-align: center;">Phrygian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4|2<br />
</td>
        <td style="text-align: center;">sLssLss<br />
</td>
        <td style="text-align: center;">Aeolian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3|3<br />
</td>
        <td style="text-align: center;">sLsssLs<br />
</td>
        <td style="text-align: center;">Dorian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2|4<br />
</td>
        <td style="text-align: center;">ssLssLs<br />
</td>
        <td style="text-align: center;">Mixolydian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1|5<br />
</td>
        <td style="text-align: center;">ssLsssL<br />
</td>
        <td style="text-align: center;">Ionian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">7/4</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">0|6<br />
</td>
        <td style="text-align: center;">sssLssL<br />
</td>
        <td style="text-align: center;">Lydian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">9/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">7/4</span><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x2L5s Heptatonic MOS: Antidiatonic--&quot;Diatonic&quot; Names"></a><!-- ws:end:WikiTextHeadingRule:8 -->&quot;Diatonic&quot; Names</h3>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>UDP</strong><br />
</td>
        <td style="text-align: center;"><strong>Imprint</strong><br />
</td>
        <td style="text-align: center;"><strong>(Anti)Name</strong><br />
</td>
        <td style="text-align: center;"><strong>1</strong><br />
</td>
        <td style="text-align: center;"><strong>2</strong><br />
</td>
        <td style="text-align: center;"><strong>3</strong><br />
</td>
        <td style="text-align: center;"><strong>4</strong><br />
</td>
        <td style="text-align: center;"><strong>5</strong><br />
</td>
        <td style="text-align: center;"><strong>6</strong><br />
</td>
        <td style="text-align: center;"><strong>7</strong><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6|0<br />
</td>
        <td style="text-align: center;">LssLsss<br />
</td>
        <td style="text-align: center;">Locrian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">sm6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5|1<br />
</td>
        <td style="text-align: center;">LsssLss<br />
</td>
        <td style="text-align: center;">Phrygian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4|2<br />
</td>
        <td style="text-align: center;">sLssLss<br />
</td>
        <td style="text-align: center;">Aeolian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3|3<br />
</td>
        <td style="text-align: center;">sLsssLs<br />
</td>
        <td style="text-align: center;">Dorian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2|4<br />
</td>
        <td style="text-align: center;">ssLssLs<br />
</td>
        <td style="text-align: center;">Mixolydian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1|5<br />
</td>
        <td style="text-align: center;">ssLsssL<br />
</td>
        <td style="text-align: center;">Ionian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">0|6<br />
</td>
        <td style="text-align: center;">sssLssL<br />
</td>
        <td style="text-align: center;">Lydian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">SM3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm7</span><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x7L2s Nonatonic MOS: Superdiatonic"></a><!-- ws:end:WikiTextHeadingRule:10 -->7L2s Nonatonic MOS: Superdiatonic</h1>
 8|0 - LLLLsLLLs - (Super)Lydian<br />
7|1 - LLLsLLLLs - (Super)Ionian<br />
6|2 - LLLsLLLsL - (Super)Mixolydian<br />
5|3 - LLsLLLLsL - (Super)Corinthian<br />
4|4 - LLsLLLsLL - (Super)Olympian<br />
3|5 - LsLLLLsLL - (Super)Dorian<br />
2|6 - LsLLLsLLL - (Super)Aeolian<br />
1|7 - sLLLLsLLL - (Super)Phrygian<br />
0|8 - sLLLsLLLL - (Super)Locrian<br />
<br />
In cyclic permutational order: Ionian Corinthian Dorian Phrygian Lydian Mixolydian Olympian Aeolian Locrian<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x7L2s Nonatonic MOS: Superdiatonic--Transversal"></a><!-- ws:end:WikiTextHeadingRule:12 -->Transversal</h3>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>UDP</strong><br />
</td>
        <td style="text-align: center;"><strong>Imprint</strong><br />
</td>
        <td style="text-align: center;"><strong>(Super)Name</strong><br />
</td>
        <td style="text-align: center;"><strong>1</strong><br />
</td>
        <td style="text-align: center;"><strong>2</strong><br />
</td>
        <td style="text-align: center;"><strong>3</strong><br />
</td>
        <td style="text-align: center;"><strong>4</strong><br />
</td>
        <td style="text-align: center;"><strong>5</strong><br />
</td>
        <td style="text-align: center;"><strong>6</strong><br />
</td>
        <td style="text-align: center;"><strong>7</strong><br />
</td>
        <td style="text-align: center;"><strong>8</strong><br />
</td>
        <td style="text-align: center;"><strong>9</strong><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">8|0<br />
</td>
        <td style="text-align: center;">LLLLsLLLs<br />
</td>
        <td style="text-align: center;">Lydian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">9/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">7/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">7/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">21/11</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">7|1<br />
</td>
        <td style="text-align: center;">LLLsLLLLs<br />
</td>
        <td style="text-align: center;">Ionian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">9/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">7/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">21/11</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6|2<br />
</td>
        <td style="text-align: center;">LLLsLLLsL<br />
</td>
        <td style="text-align: center;">Mixolydian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">9/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">7/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5|3<br />
</td>
        <td style="text-align: center;">LLsLLLLsL<br />
</td>
        <td style="text-align: center;">Corinthian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">7/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4|4<br />
</td>
        <td style="text-align: center;">LLsLLLsLL<br />
</td>
        <td style="text-align: center;">Olympian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">6/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3|5<br />
</td>
        <td style="text-align: center;">LsLLLLsLL<br />
</td>
        <td style="text-align: center;">Dorian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">8/5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2|6<br />
</td>
        <td style="text-align: center;">LsLLLsLLL<br />
</td>
        <td style="text-align: center;">Aeolian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">12/11</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">14/9</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1|7<br />
</td>
        <td style="text-align: center;">sLLLLsLLL<br />
</td>
        <td style="text-align: center;">Phrygian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">22/21</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">3/2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">14/9</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">0|8<br />
</td>
        <td style="text-align: center;">sLLLsLLLL<br />
</td>
        <td style="text-align: center;">Locrian<br />
</td>
        <td style="text-align: center;">1/1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">22/21</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">8/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">4/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">10/7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">14/9</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">5/3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">11/6</span><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x7L2s Nonatonic MOS: Superdiatonic--&quot;Diatonic&quot; Names"></a><!-- ws:end:WikiTextHeadingRule:14 -->&quot;Diatonic&quot; Names</h3>
 

<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>UDP</strong><br />
</td>
        <td style="text-align: center;"><strong>Imprint</strong><br />
</td>
        <td style="text-align: center;"><strong>(Super)Name</strong><br />
</td>
        <td style="text-align: center;"><strong>1</strong><br />
</td>
        <td style="text-align: center;"><strong>2</strong><br />
</td>
        <td style="text-align: center;"><strong>3</strong><br />
</td>
        <td style="text-align: center;"><strong>4</strong><br />
</td>
        <td style="text-align: center;"><strong>5</strong><br />
</td>
        <td style="text-align: center;"><strong>6</strong><br />
</td>
        <td style="text-align: center;"><strong>7</strong><br />
</td>
        <td style="text-align: center;"><strong>8</strong><br />
</td>
        <td style="text-align: center;"><strong>9</strong><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">8|0<br />
</td>
        <td style="text-align: center;">LLLLsLLLs<br />
</td>
        <td style="text-align: center;">Lydian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">A4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">sm7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">7|1<br />
</td>
        <td style="text-align: center;">LLLsLLLLs<br />
</td>
        <td style="text-align: center;">Ionian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">sm7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">6|2<br />
</td>
        <td style="text-align: center;">LLLsLLLsL<br />
</td>
        <td style="text-align: center;">Mixolydian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">SM3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">sm7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">5|3<br />
</td>
        <td style="text-align: center;">LLsLLLLsL<br />
</td>
        <td style="text-align: center;">Corinthian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">sm7</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4|4<br />
</td>
        <td style="text-align: center;">LLsLLLsLL<br />
</td>
        <td style="text-align: center;">Olympian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">3|5<br />
</td>
        <td style="text-align: center;">LsLLLLsLL<br />
</td>
        <td style="text-align: center;">Dorian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">m6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2|6<br />
</td>
        <td style="text-align: center;">LsLLLsLLL<br />
</td>
        <td style="text-align: center;">Aeolian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">N2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">1|7<br />
</td>
        <td style="text-align: center;">sLLLLsLLL<br />
</td>
        <td style="text-align: center;">Phrygian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #0000ff;">P5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">0|8<br />
</td>
        <td style="text-align: center;">sLLLsLLLL<br />
</td>
        <td style="text-align: center;">Locrian<br />
</td>
        <td style="text-align: center;">P1<br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">SM2</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M3</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">P4</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">d5</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">sm6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">M6</span><br />
</td>
        <td style="text-align: center;"><span style="color: #ff0000;">N7</span><br />
</td>
    </tr>
</table>

<br />
Each &quot;super&quot; mode contains the corresponding &quot;anti&quot; mode below it, and two adjacent modes as well (though pathological at the extreme ends of the modal continuum). The superdiatonic modes also resemble the shape of the meantone diatonic modes somewhat, so that LLLsLLLLs resembles the meantone LLLsLLs Ionian mode, and also contains the mavila ssLsssL anti-Ionian mode as well. Additionally, sLLLsLLLL resembles the diatonic sLLsLLL Locrian mode, and also contains the mavila LssLsss anti-Ionian mode.<br />
<br />
Since there are only seven diatonic modes, two superdiatonic modes need additional names beyond the usual gamut of options. These two modes present themselves as &quot;mixed&quot; modes, which begin with the LLs tetrachord, and hence contain both the ~300 cent minor third and the ~375 cent major third. These are the only two modes to exhibit this behavior. They're interspersed on the rotational continuum between Ionian and Dorian, and Mixolydian and Aeolian.<br />
<br />
As were the original modes named after regions of ancient Greece, so are these new superdiatonic extensions. The one between Ionian and Dorian is called Corinthian, after the Greek island of Corinth, set up so that the Ionian -&gt; Corinthian -&gt; Dorian cyclic sequence will resemble the columns of ancient Greek architecture. The one between Mixolydian and Aeolian, which is the symmetrical LLsLLLsLL scale, has a number of noteworthy theoretical properties, in that it contains every modal rotation of mavila[5], and hence the entire 5-limit tonality diamond; it was given the name of Olympian to match its unique status in this regard.</body></html>
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