23edo: Difference between revisions

Wikispaces>TallKite
**Imported revision 602809034 - Original comment: **
Wikispaces>TallKite
**Imported revision 602810496 - 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:TallKite|TallKite]] and made on <tt>2016-12-25 20:44:40 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 00:48:05 UTC</tt>.<br>
: The original revision id was <tt>602809034</tt>.<br>
: The original revision id was <tt>602810496</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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||= &lt;span style="color: #660000;"&gt;[[Degree]]*&lt;/span&gt; ||= [[Cent]]s ||= Approximate
||= &lt;span style="color: #660000;"&gt;[[Degree]]*&lt;/span&gt; ||= [[Cent]]s ||= Approximate
Ratios** ||||= Major wider
Ratios ** ||||= Major wider
than minor ||||= Major narrower
than minor ||||= Major narrower
than minor ||= Armodue
than minor ||= Armodue
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||= 0 ||= 0 ||= 1/1 ||= P1 ||= D ||= P1 ||= D ||= 1 ||  ||
||= 0 ||= 0 ||= 1/1 ||= P1 ||= D ||= P1 ||= D ||= 1 ||  ||
||= 1 ||= 52.174 ||= 33/32, 34/33 ||= A1 ||= D# ||= d1 ||= Db ||= 2b ||  ||
||= 1 ||= 52.174 ||= 33/32, 34/33 ||= A1 ||= D# ||= d1 ||= Db ||= 2b ||  ||
||= 2 ||= 104.348 ||= 17/16, 16/15, 18/17 ||= d2 ||= Eb ||= A2 ||= E# ||= 1# || Less than 1-cent off 17/16 ||
||= 2 ||= 104.348 ||= 17/16, 16/15, 18/17 ||= d2 ||= Eb ||= A2 ||= E# ||= 1# || Less than 1 cent off 17/16 ||
||= 3 ||= 156.522 ||= 11/10, 12/11, 35/32 ||= m2 ||= E ||= M2 ||= E ||= 2 ||  ||
||= 3 ||= 156.522 ||= 11/10, 12/11, 35/32 ||= m2 ||= E ||= M2 ||= E ||= 2 ||  ||
||= 4· ||= 208.696 ||= 9/8, 44/39 ||= M2 ||= E# ||= m2 ||= Eb ||= 3b ||  ||
||= 4· ||= 208.696 ||= 9/8, 44/39 ||= M2 ||= E# ||= m2 ||= Eb ||= 3b ||  ||
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||= 22 ||= 1147.826 ||= 33/17, 64/33 ||= d8 ||= Db ||= A8 ||= D# ||= 9 ||  ||
||= 22 ||= 1147.826 ||= 33/17, 64/33 ||= d8 ||= Db ||= A8 ||= D# ||= 9 ||  ||
||= 23·· ||= 1200 ||= 2/1 ||= P8 ||= D ||= P8 ||= D ||= 1 ||  ||
||= 23·· ||= 1200 ||= 2/1 ||= P8 ||= D ||= P8 ||= D ||= 1 ||  ||
*The dots indicate which frets on a 23-edo guitar would have dots.
* the dots indicate which frets on a 23-edo guitar would have dots.
**based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.
** based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.


The chart below shows some of the [[MOSScales|Moment of Symmetry (MOS)]] modes of [[Mavila]] available in 23edo, mainly Pentatonic(5-note), anti-diatonic(7-note), 9- and 16-note MOSs. Here the outer ring represents individual step of 23edo itself, while the rings moving inward represent 16, 9, 7 and 5 note MOSs:
The chart below shows some of the [[MOSScales|Moment of Symmetry (MOS)]] modes of [[Mavila]] available in 23edo, mainly Pentatonic(5-note), anti-diatonic(7-note), 9- and 16-note MOSs. Here the outer ring represents individual step of 23edo itself, while the rings moving inward represent 16, 9, 7 and 5 note MOSs:
[[image:23edoMavilaMOS.jpg]]
[[image:23edoMavilaMOS.jpg]]


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&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x23 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;span style="font-size: 1.4em;"&gt;Intervals&lt;/span&gt;&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x23 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;span style="font-size: 1.4em;"&gt;Intervals&lt;/span&gt;&lt;/h2&gt;
  &lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Approximate&lt;br /&gt;
Ratios&lt;strong&gt;&lt;br /&gt;
Ratios **&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td colspan="2" style="text-align: center;"&gt;Major wider&lt;br /&gt;
         &lt;td colspan="2" style="text-align: center;"&gt;Major wider&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;1#&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1#&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Less than 1-cent off 17/16&lt;br /&gt;
         &lt;td&gt;Less than 1 cent off 17/16&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/table&gt;
&lt;/table&gt;


*The dots indicate which frets on a 23-edo guitar would have dots.&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;the dots indicate which frets on a 23-edo guitar would have dots.&lt;ul&gt;&lt;li&gt;based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;/strong&gt;based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.&lt;br /&gt;
&lt;br /&gt;
The chart below shows some of the &lt;a class="wiki_link" href="/MOSScales"&gt;Moment of Symmetry (MOS)&lt;/a&gt; modes of &lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt; available in 23edo, mainly Pentatonic(5-note), anti-diatonic(7-note), 9- and 16-note MOSs. Here the outer ring represents individual step of 23edo itself, while the rings moving inward represent 16, 9, 7 and 5 note MOSs:&lt;br /&gt;
The chart below shows some of the &lt;a class="wiki_link" href="/MOSScales"&gt;Moment of Symmetry (MOS)&lt;/a&gt; modes of &lt;a class="wiki_link" href="/Mavila"&gt;Mavila&lt;/a&gt; available in 23edo, mainly Pentatonic(5-note), anti-diatonic(7-note), 9- and 16-note MOSs. Here the outer ring represents individual step of 23edo itself, while the rings moving inward represent 16, 9, 7 and 5 note MOSs:&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1021:&amp;lt;img src=&amp;quot;/file/view/23edoMavilaMOS.jpg/288679838/23edoMavilaMOS.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/23edoMavilaMOS.jpg/288679838/23edoMavilaMOS.jpg" alt="23edoMavilaMOS.jpg" title="23edoMavilaMOS.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1021 --&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1013:&amp;lt;img src=&amp;quot;/file/view/23edoMavilaMOS.jpg/288679838/23edoMavilaMOS.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/23edoMavilaMOS.jpg/288679838/23edoMavilaMOS.jpg" alt="23edoMavilaMOS.jpg" title="23edoMavilaMOS.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1013 --&gt;&lt;br /&gt;
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23-EDO was proposed by ethnomusicologist &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erich_von_Hornbostel" rel="nofollow"&gt;Erich von Hornbostel&lt;/a&gt; as the result of continuing a circle of &amp;quot;blown&amp;quot; fifths of ~678-cent fifths that (he argued) resulted from &amp;quot;overblowing&amp;quot; a bamboo pipe.&lt;br /&gt;
23-EDO was proposed by ethnomusicologist &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erich_von_Hornbostel" rel="nofollow"&gt;Erich von Hornbostel&lt;/a&gt; as the result of continuing a circle of &amp;quot;blown&amp;quot; fifths of ~678-cent fifths that (he argued) resulted from &amp;quot;overblowing&amp;quot; a bamboo pipe.&lt;br /&gt;
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&lt;em&gt;An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.&lt;/em&gt;&lt;br /&gt;
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&lt;em&gt;An Icositriphonic P-Bass. 23-ED2 Bass by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;An Icositriphonic P-Bass. 23-ED2 Bass by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1017:&amp;lt;img src=&amp;quot;/file/view/Icositriphonic%20Gitar%201.png/358559595/640x216/Icositriphonic%20Gitar%201.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 216px; width: 640px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Icositriphonic%20Gitar%201.png/358559595/640x216/Icositriphonic%20Gitar%201.png" alt="Icositriphonic Gitar 1.png" title="Icositriphonic Gitar 1.png" style="height: 216px; width: 640px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1017 --&gt;&lt;br /&gt;
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&lt;em&gt;An Icositriphonic 'Hendrix' TravelGuitar. 23-ED2 'Gitar' by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;An Icositriphonic 'Hendrix' TravelGuitar. 23-ED2 'Gitar' by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:1018:&amp;lt;img src=&amp;quot;/file/view/Icositritar%201.png/358559793/640x271/Icositritar%201.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 271px; width: 640px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Icositritar%201.png/358559793/640x271/Icositritar%201.png" alt="Icositritar 1.png" title="Icositritar 1.png" style="height: 271px; width: 640px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1018 --&gt;&lt;br /&gt;
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&lt;em&gt;The 'Icositritar', 23-ED2 5-string Acoustic Guitar by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;The 'Icositritar', 23-ED2 5-string Acoustic Guitar by Tútim Dennsuul Wafiil.&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
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&lt;em&gt;An illustrative image of a 23-ED2 Keyboard&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;An illustrative image of a 23-ED2 Keyboard&lt;/em&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Chris Vaisvil made a do it yourself 23 edo electric guitar out of less than $50 of material. Here he is playing it.&lt;br /&gt;
Chris Vaisvil made a do it yourself 23 edo electric guitar out of less than $50 of material. Here he is playing it.&lt;br /&gt;
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Here is a still shot of the completed instrument.&lt;br /&gt;
Here is a still shot of the completed instrument.&lt;br /&gt;
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This movie is a series of still shots Chris took during the process of making a 23 edo guitar in a stick like form. At the end the guitar is played without effects etc. and the open string tuning is sounded - which starts with a normal E and then adjusted to the 9th / 7th fret unison, like a typical 12edo guitar fashion.&lt;br /&gt;
This movie is a series of still shots Chris took during the process of making a 23 edo guitar in a stick like form. At the end the guitar is played without effects etc. and the open string tuning is sounded - which starts with a normal E and then adjusted to the 9th / 7th fret unison, like a typical 12edo guitar fashion.&lt;br /&gt;
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