24edo: Difference between revisions

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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>
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: This revision was by author [[User:cookiemeows|cookiemeows]] and made on <tt>2014-02-14 10:18:47 UTC</tt>.<br>
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For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the "Super-Tendo" chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context.
For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the "Super-Tendo" chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context.


The three most tonal quarter-tone tetrads on C:
William Lynch considers these three tetrads to be a good selection for functional harmony in 24 Edo:


[[image:Three chords.PNG]]
[[image:Three chords.PNG]]
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Neutral 0-7-14-21 or 1, v3, 5, v7
Neutral 0-7-14-21 or 1, v3, 5, v7
Arto 0-5-14-20 or 1, bv3, 5, b7
Arto 0-5-14-20 or 1, bv3, 5, b7
Tendo 0-9-14-19 or 1, ^3, 5, bv7  
Tendo 0-9-14-19 or 1, ^3, 5, bv7


=Naming Chords in 24 Edo=  
=Naming Chords in 24 Edo=  


Naming chords in 24 edo can be achieved by adding a few things to the already existing set of terms that are used to name 12 Edo chords.  
Naming chords in 24 edo can be achieved by adding a few things to the already existing set of terms that are used to name 12 Edo chords.
They are:
They are:
Super + perfect interval such as "perfect fifth" means to raise it by a quarter tone.  
Super + perfect interval such as "perfect fifth" means to raise it by a quarter tone.
Sub + perfect interval means to lower a quarter tone.  
Sub + perfect interval means to lower a quarter tone.
Sharp is to raise by one half tone
Sharp is to raise by one half tone
Flat is to raise by a half tone
Flat is to raise by a half tone
Neutral, arto and Tendo refer triads OR also to the tetrad versions  
Neutral, arto and Tendo refer triads OR also to the tetrad versions
Neutral, Arto, or Tendo + interval name of 2nd, 3rd, 6th, or 7th is to alter respectively
Neutral, Arto, or Tendo + interval name of 2nd, 3rd, 6th, or 7th is to alter respectively


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For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the &amp;quot;Super-Tendo&amp;quot; chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context.&lt;br /&gt;
For example, the neutral triad can have the neutral 7th added to it to make a full neutral tetrad: 0-7-14-21 William Lynch considers this chord to be the most beautiful tetrad in 24 Edo. In addition, the arto tetrad can have the arto 7th added to it but the chord tends to work better when a minor 7th is used in place of an arto seventh forming the arto tetrad: 0-5-14-20. The Tendo tetrad can also be made by attatching an arto seventh to tendo triad 0-9-14-19. Although the &amp;quot;Super-Tendo&amp;quot; chord can be made by attatching the tendo seventh to the chord, this chord is very dissonant, and therefore it is not considered a resolved sonority, although the sound of 0-9-14-23 is very cool in many context.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The three most tonal quarter-tone tetrads on C:&lt;br /&gt;
William Lynch considers these three tetrads to be a good selection for functional harmony in 24 Edo:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1420:&amp;lt;img src=&amp;quot;/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG" alt="Three chords.PNG" title="Three chords.PNG" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1420 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1420:&amp;lt;img src=&amp;quot;/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Three%20chords.PNG/489521008/Three%20chords.PNG" alt="Three chords.PNG" title="Three chords.PNG" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1420 --&gt;&lt;br /&gt;
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Neutral 0-7-14-21 or 1, v3, 5, v7&lt;br /&gt;
Neutral 0-7-14-21 or 1, v3, 5, v7&lt;br /&gt;
Arto 0-5-14-20 or 1, bv3, 5, b7&lt;br /&gt;
Arto 0-5-14-20 or 1, bv3, 5, b7&lt;br /&gt;
Tendo 0-9-14-19 or 1, ^3, 5, bv7 &lt;br /&gt;
Tendo 0-9-14-19 or 1, ^3, 5, bv7&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Naming Chords in 24 Edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Naming Chords in 24 Edo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Naming Chords in 24 Edo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Naming Chords in 24 Edo&lt;/h1&gt;
  &lt;br /&gt;
  &lt;br /&gt;
Naming chords in 24 edo can be achieved by adding a few things to the already existing set of terms that are used to name 12 Edo chords. &lt;br /&gt;
Naming chords in 24 edo can be achieved by adding a few things to the already existing set of terms that are used to name 12 Edo chords.&lt;br /&gt;
They are:&lt;br /&gt;
They are:&lt;br /&gt;
Super + perfect interval such as &amp;quot;perfect fifth&amp;quot; means to raise it by a quarter tone. &lt;br /&gt;
Super + perfect interval such as &amp;quot;perfect fifth&amp;quot; means to raise it by a quarter tone.&lt;br /&gt;
Sub + perfect interval means to lower a quarter tone. &lt;br /&gt;
Sub + perfect interval means to lower a quarter tone.&lt;br /&gt;
Sharp is to raise by one half tone&lt;br /&gt;
Sharp is to raise by one half tone&lt;br /&gt;
Flat is to raise by a half tone&lt;br /&gt;
Flat is to raise by a half tone&lt;br /&gt;
Neutral, arto and Tendo refer triads OR also to the tetrad versions &lt;br /&gt;
Neutral, arto and Tendo refer triads OR also to the tetrad versions&lt;br /&gt;
Neutral, Arto, or Tendo + interval name of 2nd, 3rd, 6th, or 7th is to alter respectively&lt;br /&gt;
Neutral, Arto, or Tendo + interval name of 2nd, 3rd, 6th, or 7th is to alter respectively&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;