13edo: Difference between revisions

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==The Cryptic Ruse Methods==  
==The Cryptic Ruse Methods==  
13edo offers two main candidates for diatonic-like scales: the 6L1s heptatonic MOS generated by 2\13, and the 5L3s octatonic MOS. Both of these scales are Rothenberg proper, and bear a slightly-twisted resemblance to the 12edo diatonic scale. Specifically, the 6L1s scale resembles the 12edo diatonic with one of its semitones replaced with a whole-tone, while the 5L3s scale resembles the 12edo diatonic with an extra semitone inserted between two adjacent whole-tones.
13edo offers two main candidates for diatonic-like scales: the 6L1s heptatonic MOS generated by 2\13, and the 5L3s octatonic MOS. Both of these scales are [[Rothenberg propriety|Rothenberg proper]], and bear a slightly-twisted resemblance to the 12edo diatonic scale. Specifically, the 6L1s scale resembles the 12edo diatonic with one of its semitones replaced with a whole-tone, while the 5L3s scale resembles the 12edo diatonic with an extra semitone inserted between two adjacent whole-tones.


&lt;span style="background-color: #ffffff;"&gt;To facilitate discussion of these scales, Cryptic Ruse has ascribed them names based on H.P. Lovecraft's "Dream Cycle" mythos. The 2\13-based heptatonic has been named "archeotonic" after the "Old Ones" that rule the Dreamlands, and the 5\13-based octatonic has been named "oneirotonic" after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands.&lt;/span&gt;
&lt;span style="background-color: #ffffff;"&gt;To facilitate discussion of these scales, Cryptic Ruse has ascribed them names based on H.P. Lovecraft's "Dream Cycle" mythos. The 2\13-based heptatonic has been named "archeotonic" after the "Old Ones" that rule the Dreamlands, and the 5\13-based octatonic has been named "oneirotonic" after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands.&lt;/span&gt;
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&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Notational and Compositional Approaches to 13edo-The Cryptic Ruse Methods"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;The Cryptic Ruse Methods&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Notational and Compositional Approaches to 13edo-The Cryptic Ruse Methods"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;The Cryptic Ruse Methods&lt;/h2&gt;
  13edo offers two main candidates for diatonic-like scales: the 6L1s heptatonic MOS generated by 2\13, and the 5L3s octatonic MOS. Both of these scales are Rothenberg proper, and bear a slightly-twisted resemblance to the 12edo diatonic scale. Specifically, the 6L1s scale resembles the 12edo diatonic with one of its semitones replaced with a whole-tone, while the 5L3s scale resembles the 12edo diatonic with an extra semitone inserted between two adjacent whole-tones.&lt;br /&gt;
  13edo offers two main candidates for diatonic-like scales: the 6L1s heptatonic MOS generated by 2\13, and the 5L3s octatonic MOS. Both of these scales are &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;Rothenberg proper&lt;/a&gt;, and bear a slightly-twisted resemblance to the 12edo diatonic scale. Specifically, the 6L1s scale resembles the 12edo diatonic with one of its semitones replaced with a whole-tone, while the 5L3s scale resembles the 12edo diatonic with an extra semitone inserted between two adjacent whole-tones.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;To facilitate discussion of these scales, Cryptic Ruse has ascribed them names based on H.P. Lovecraft's &amp;quot;Dream Cycle&amp;quot; mythos. The 2\13-based heptatonic has been named &amp;quot;archeotonic&amp;quot; after the &amp;quot;Old Ones&amp;quot; that rule the Dreamlands, and the 5\13-based octatonic has been named &amp;quot;oneirotonic&amp;quot; after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands.&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: #ffffff;"&gt;To facilitate discussion of these scales, Cryptic Ruse has ascribed them names based on H.P. Lovecraft's &amp;quot;Dream Cycle&amp;quot; mythos. The 2\13-based heptatonic has been named &amp;quot;archeotonic&amp;quot; after the &amp;quot;Old Ones&amp;quot; that rule the Dreamlands, and the 5\13-based octatonic has been named &amp;quot;oneirotonic&amp;quot; after the Dreamlands themselves. Modes of the archeotonic are named after the individual Old Ones themselves; modes of the oneirotonic are named after cities in the Dreamlands.&lt;/span&gt;&lt;br /&gt;