21edo: Difference between revisions

Wikispaces>guest
**Imported revision 150596285 - Original comment: **
Wikispaces>jdfreivald
**Imported revision 233340604 - Original comment: Added comma table.**
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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:guest|guest]] and made on <tt>2010-06-26 01:50:41 UTC</tt>.<br>
: This revision was by author [[User:jdfreivald|jdfreivald]] and made on <tt>2011-05-31 21:43:22 UTC</tt>.<br>
: The original revision id was <tt>150596285</tt>.<br>
: The original revision id was <tt>233340604</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Added comma table.</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
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**//21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)//**
**//21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)//**


 
==Commas==
21 EDO tempers out the following commas. (Note: This assumes the val &lt; 21 33 49 59 73 78 |.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||
|| 2187/2048 || | -11 7 &gt; || 113.69 || Apotome ||  ||
|| 128/125 || | 7 0 -3 &gt; || 41.06 || Diesis || Augmented Comma ||
|| 9931568/9752117 || | -25 7 6 &gt; || 31.57 |||| Ampersand's Comma ||
|| 9193891/9143623 || | 32 -7 -9 &gt; || 9.49 |||| Escapade Comma ||
|| 1029/1000 || | -3 1 -3 3 &gt; || 49.49 || Keega ||  ||
|| 36/35 || | 2 2 -1 -1 &gt; || 48.77 |||| Septimal Quarter Tone ||
|| 9859966/9733137 || | -10 7 8 -7 &gt; || 22.41 || Blackjackisma ||  ||
|| 1029/1024 || | -10 1 0 3 &gt; || 8.43 || Gamelisma ||  ||
|| 225/224 || | -5 2 2 -1 &gt; || 7.71 || Septimal Kleisma || Marvel Comma ||
|| 16875/16807 || | 0 3 4 -5 &gt; || 6.99 || Mirkwai ||  ||
|| 2401/2400 || | -5 -1 -2 4 &gt; || 0.72 || Breedsma ||  ||
|| 394839/394762 || | 47 -7 -7 -7 &gt; || 0.34 || Akjaysma || 5\7 Octave Comma ||
|| 99/98 || | -1 2 0 -2 1 &gt; || 17.58 || Mothwellsma ||  ||
|| 176/175 || | 4 0 -2 -1 1 &gt; || 9.86 || Valinorsma ||  ||
|| 4000/3993 || | 5 -1 3 0 -3 &gt; || 3.03 || Wizardharry ||  ||
==**Progressions / Chords / Pitch Space Divisions:**==  
==**Progressions / Chords / Pitch Space Divisions:**==  
2 octaves into 7 parts = 6 6 6 6 6 6
2 octaves into 7 parts = 6 6 6 6 6 6
Line 115: Line 132:
21-edo Septimal neutral major&lt;br /&gt;
21-edo Septimal neutral major&lt;br /&gt;
21-edo Quasi-equal major&lt;br /&gt;
21-edo Quasi-equal major&lt;br /&gt;
&lt;!-- ws:start:WikiTextRemoteImageRule:8:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/ron1.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 188px; width: 254px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:8 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:9:&amp;lt;img src=&amp;quot;http://www.swordguitars.com/21tetsm.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 191px; width: 363px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:9 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextRemoteImageRule:198:&amp;lt;img src=&amp;quot;http://www.ronsword.com/images/ron1.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 188px; width: 254px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.ronsword.com/images/ron1.jpg" alt="external image ron1.jpg" title="external image ron1.jpg" style="height: 188px; width: 254px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:198 --&gt;&lt;!-- ws:start:WikiTextRemoteImageRule:199:&amp;lt;img src=&amp;quot;http://www.swordguitars.com/21tetsm.JPG&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 191px; width: 363px;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://www.swordguitars.com/21tetsm.JPG" alt="external image 21tetsm.JPG" title="external image 21tetsm.JPG" style="height: 191px; width: 363px;" /&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:199 --&gt;&lt;br /&gt;
&lt;strong&gt;&lt;em&gt;21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;&lt;em&gt;21-edo Icosihenaphonic Acoustic Guitar (Ron Sword)&lt;/em&gt;&lt;/strong&gt;&lt;br /&gt;
&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="x21 equal divisions of the octave-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Commas&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x21 equal divisions of the octave-Progressions / Chords / Pitch Space Divisions:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;strong&gt;Progressions / Chords / Pitch Space Divisions:&lt;/strong&gt;&lt;/h2&gt;
21 EDO tempers out the following commas. (Note: This assumes the val &amp;lt; 21 33 49 59 73 78 |.)&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Comma&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Monzo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Value (Cents)&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name 1&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Name 2&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2187/2048&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -11 7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;113.69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Apotome&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;128/125&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 7 0 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;41.06&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Diesis&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Augmented Comma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9931568/9752117&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;31.57&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Ampersand's Comma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9193891/9143623&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 32 -7 -9 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.49&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Escapade Comma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1029/1000&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -3 1 -3 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;49.49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Keega&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36/35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 2 2 -1 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;48.77&lt;br /&gt;
&lt;/td&gt;
        &lt;td colspan="2"&gt;Septimal Quarter Tone&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9859966/9733137&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22.41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Blackjackisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1029/1024&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -10 1 0 3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8.43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gamelisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;225/224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 2 2 -1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7.71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Septimal Kleisma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Marvel Comma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16875/16807&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 0 3 4 -5 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6.99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Mirkwai&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2401/2400&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -5 -1 -2 4 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Breedsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;394839/394762&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 47 -7 -7 -7 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Akjaysma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\7 Octave Comma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;99/98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| -1 2 0 -2 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17.58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Mothwellsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;176/175&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 4 0 -2 -1 1 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9.86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Valinorsma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4000/3993&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;| 5 -1 3 0 -3 &amp;gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3.03&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Wizardharry&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x21 equal divisions of the octave-Progressions / Chords / Pitch Space Divisions:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;Progressions / Chords / Pitch Space Divisions:&lt;/strong&gt;&lt;/h2&gt;
  2 octaves into 7 parts = 6 6 6 6 6 6&lt;br /&gt;
  2 octaves into 7 parts = 6 6 6 6 6 6&lt;br /&gt;
3 octaves into 7 parts = 9 9 9 9 9 9&lt;br /&gt;
3 octaves into 7 parts = 9 9 9 9 9 9&lt;br /&gt;
Line 141: Line 350:
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Books / Literature:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;Books / Literature:&lt;/strong&gt;&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Books / Literature:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Books / Literature:&lt;/strong&gt;&lt;/h1&gt;
  Sword, Ron. &amp;quot;Icosihenaphonic Scales for Guitar&amp;quot;. IAAA Press. 1st ed: July 2009.&lt;br /&gt;
  Sword, Ron. &amp;quot;Icosihenaphonic Scales for Guitar&amp;quot;. IAAA Press. 1st ed: July 2009.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Compositions/Listening:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Compositions/Listening:&lt;/strong&gt;&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Compositions/Listening:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;strong&gt;Compositions/Listening:&lt;/strong&gt;&lt;/h1&gt;
  &lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/21_improv.mp3" rel="nofollow" target="_blank"&gt;Short Clip of 21-edo Acoustic&lt;/a&gt; by Ron Sword&lt;br /&gt;
  &lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/21_improv.mp3" rel="nofollow" target="_blank"&gt;Short Clip of 21-edo Acoustic&lt;/a&gt; by Ron Sword&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3" rel="nofollow" target="_blank"&gt;Open tuning Drone Improvisation in 21-edo&lt;/a&gt; by Ron Sword&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;a class="wiki_link_ext" href="http://www.ronsword.com/sounds/Ron_Sword_21_Tone_improv.mp3" rel="nofollow" target="_blank"&gt;Open tuning Drone Improvisation in 21-edo&lt;/a&gt; by Ron Sword&lt;/body&gt;&lt;/html&gt;</pre></div>