23edo: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 288886653 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 294683364 - 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: | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-01-23 19:56:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>294683364</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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=<span style="background-color: #ffffff; color: #009927; font-family: | =<span style="background-color: #ffffff; color: #009927; font-family: "Times New Roman",Times,serif; font-size: 113%;">23 tone equal temperament</span>= | ||
**//23-tET//**, or **//23-EDO//**, is a tempered musical system which divides the [[octave]] into 23 equal parts of approximately 52.173913 cents, which is also called with the neologism Icositriphony //(Icositrifonía)//. It has good approximations for [[5_3|5/3]], [[11_7|11/7]], 13 and 17, allowing it to represent the 2.5/3.11/7.13.17 [[just intonation subgroup]]. If to this subgroup is added the commas of [[17-limit]] [[46edo]], the larger 17-limit [[k*N subgroups|2*23 subgroup]] 2.9.15.21.33.13.17 is obtained. This is the largest subgroup on which 23 has the same tuning and commas as does 17-limit·46edo, and may be regarded as a basis for analyzing the harmony of 23-EDO so far, as approximations to just intervals goes. 23edo is the 9th [[prime numbers|prime]] edo, following [[19edo]] and coming before [[29edo]]. | **//23-tET//**, or **//23-EDO//**, is a tempered musical system which divides the [[octave]] into 23 equal parts of approximately 52.173913 cents, which is also called with the neologism Icositriphony //(Icositrifonía)//. It has good approximations for [[5_3|5/3]], [[11_7|11/7]], 13 and 17, allowing it to represent the 2.5/3.11/7.13.17 [[just intonation subgroup]]. If to this subgroup is added the commas of [[17-limit]] [[46edo]], the larger 17-limit [[k*N subgroups|2*23 subgroup]] 2.9.15.21.33.13.17 is obtained. This is the largest subgroup on which 23 has the same tuning and commas as does 17-limit·46edo, and may be regarded as a basis for analyzing the harmony of 23-EDO so far, as approximations to just intervals goes. 23edo is the 9th [[prime numbers|prime]] edo, following [[19edo]] and coming before [[29edo]]. | ||
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=Instruments= | =Instruments= | ||
[[image:Icositriphonic_Bass.JPG width="594" height="216"]] | [[image:Icositriphonic_Bass.JPG width="594" height="216"]] | ||
//An Icositriphonic Bass. 23- | //An Icositriphonic Bass. 23-ED2 Bass by Tútim Deft Wafil.// | ||
[[image:Icositriphonic_Guitar.PNG width="601" height="305"]] | [[image:Icositriphonic_Guitar.PNG width="601" height="305"]] | ||
//An Icositriphonic 8-string Guitar. 23- | //An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.// | ||
[[image:P1020637.JPG width="800" height="410"]] | |||
//The 'Icositritar', 23-ED2 acoustic guitar with 5 strings, by Tútim Deft Wafil.// | |||
[[image:Teclado_Icositrifónico.PNG width="608" height="353" caption="Armodue-Hornbostel 1/3-tone keyboard prototype"]] | [[image:Teclado_Icositrifónico.PNG width="608" height="353" caption="Armodue-Hornbostel 1/3-tone keyboard prototype"]] | ||
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<hr /> | <hr /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="x23 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:2 --><span style="background-color: #ffffff; color: #009927; font-family: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="x23 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:2 --><span style="background-color: #ffffff; color: #009927; font-family: "Times New Roman",Times,serif; font-size: 113%;">23 tone equal temperament</span></h1> | ||
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<strong><em>23-tET</em></strong>, or <strong><em>23-EDO</em></strong>, is a tempered musical system which divides the <a class="wiki_link" href="/octave">octave</a> into 23 equal parts of approximately 52.173913 cents, which is also called with the neologism Icositriphony <em>(Icositrifonía)</em>. It has good approximations for <a class="wiki_link" href="/5_3">5/3</a>, <a class="wiki_link" href="/11_7">11/7</a>, 13 and 17, allowing it to represent the 2.5/3.11/7.13.17 <a class="wiki_link" href="/just%20intonation%20subgroup">just intonation subgroup</a>. If to this subgroup is added the commas of <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/46edo">46edo</a>, the larger 17-limit <a class="wiki_link" href="/k%2AN%20subgroups">2*23 subgroup</a> 2.9.15.21.33.13.17 is obtained. This is the largest subgroup on which 23 has the same tuning and commas as does 17-limit·46edo, and may be regarded as a basis for analyzing the harmony of 23-EDO so far, as approximations to just intervals goes. 23edo is the 9th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/19edo">19edo</a> and coming before <a class="wiki_link" href="/29edo">29edo</a>.<br /> | <strong><em>23-tET</em></strong>, or <strong><em>23-EDO</em></strong>, is a tempered musical system which divides the <a class="wiki_link" href="/octave">octave</a> into 23 equal parts of approximately 52.173913 cents, which is also called with the neologism Icositriphony <em>(Icositrifonía)</em>. It has good approximations for <a class="wiki_link" href="/5_3">5/3</a>, <a class="wiki_link" href="/11_7">11/7</a>, 13 and 17, allowing it to represent the 2.5/3.11/7.13.17 <a class="wiki_link" href="/just%20intonation%20subgroup">just intonation subgroup</a>. If to this subgroup is added the commas of <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/46edo">46edo</a>, the larger 17-limit <a class="wiki_link" href="/k%2AN%20subgroups">2*23 subgroup</a> 2.9.15.21.33.13.17 is obtained. This is the largest subgroup on which 23 has the same tuning and commas as does 17-limit·46edo, and may be regarded as a basis for analyzing the harmony of 23-EDO so far, as approximations to just intervals goes. 23edo is the 9th <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/19edo">19edo</a> and coming before <a class="wiki_link" href="/29edo">29edo</a>.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc7"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:16 -->Instruments</h1> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc7"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:16 -->Instruments</h1> | ||
<!-- ws:start:WikiTextLocalImageRule:697:&lt;img src=&quot;/file/view/Icositriphonic_Bass.JPG/206711470/594x216/Icositriphonic_Bass.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 216px; width: 594px;&quot; /&gt; --><img src="/file/view/Icositriphonic_Bass.JPG/206711470/594x216/Icositriphonic_Bass.JPG" alt="Icositriphonic_Bass.JPG" title="Icositriphonic_Bass.JPG" style="height: 216px; width: 594px;" /><!-- ws:end:WikiTextLocalImageRule:697 --><br /> | <!-- ws:start:WikiTextLocalImageRule:697:&lt;img src=&quot;/file/view/Icositriphonic_Bass.JPG/206711470/594x216/Icositriphonic_Bass.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 216px; width: 594px;&quot; /&gt; --><img src="/file/view/Icositriphonic_Bass.JPG/206711470/594x216/Icositriphonic_Bass.JPG" alt="Icositriphonic_Bass.JPG" title="Icositriphonic_Bass.JPG" style="height: 216px; width: 594px;" /><!-- ws:end:WikiTextLocalImageRule:697 --><br /> | ||
<em>An Icositriphonic Bass. 23- | <em>An Icositriphonic Bass. 23-ED2 Bass by Tútim Deft Wafil.</em><br /> | ||
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<!-- ws:start:WikiTextLocalImageRule:698:&lt;img src=&quot;/file/view/Icositriphonic_Guitar.PNG/206712964/601x305/Icositriphonic_Guitar.PNG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 305px; width: 601px;&quot; /&gt; --><img src="/file/view/Icositriphonic_Guitar.PNG/206712964/601x305/Icositriphonic_Guitar.PNG" alt="Icositriphonic_Guitar.PNG" title="Icositriphonic_Guitar.PNG" style="height: 305px; width: 601px;" /><!-- ws:end:WikiTextLocalImageRule:698 --><br /> | <!-- ws:start:WikiTextLocalImageRule:698:&lt;img src=&quot;/file/view/Icositriphonic_Guitar.PNG/206712964/601x305/Icositriphonic_Guitar.PNG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 305px; width: 601px;&quot; /&gt; --><img src="/file/view/Icositriphonic_Guitar.PNG/206712964/601x305/Icositriphonic_Guitar.PNG" alt="Icositriphonic_Guitar.PNG" title="Icositriphonic_Guitar.PNG" style="height: 305px; width: 601px;" /><!-- ws:end:WikiTextLocalImageRule:698 --><br /> | ||
<em>An Icositriphonic 8-string Guitar. 23- | <em>An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.</em><br /> | ||
<br /> | <!-- ws:start:WikiTextLocalImageRule:699:&lt;img src=&quot;/file/view/P1020637.JPG/294681698/800x410/P1020637.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 410px; width: 800px;&quot; /&gt; --><img src="/file/view/P1020637.JPG/294681698/800x410/P1020637.JPG" alt="P1020637.JPG" title="P1020637.JPG" style="height: 410px; width: 800px;" /><!-- ws:end:WikiTextLocalImageRule:699 --><br /> | ||
<em>The 'Icositritar', 23-ED2 acoustic guitar with 5 strings, by Tútim Deft Wafil.</em><br /> | |||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:700:&lt;img src=&quot;/file/view/Teclado_Icositrif%C3%B3nico.PNG/258408436/608x353/Teclado_Icositrif%C3%B3nico.PNG&quot; alt=&quot;Armodue-Hornbostel 1/3-tone keyboard prototype&quot; title=&quot;Armodue-Hornbostel 1/3-tone keyboard prototype&quot; style=&quot;height: 353px; width: 608px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/Teclado_Icositrif%C3%B3nico.PNG/258408436/608x353/Teclado_Icositrif%C3%B3nico.PNG" alt="Teclado_Icositrifónico.PNG" title="Teclado_Icositrifónico.PNG" style="height: 353px; width: 608px;" /></td></tr><tr><td class="imageCaption">Armodue-Hornbostel 1/3-tone keyboard prototype</td></tr></table><!-- ws:end:WikiTextLocalImageRule:700 --><br /> | ||
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Chris Vaisvil made a do it yourself 23 edo electric guitar out of less than $50 of material. Here he is playing it.<br /> | Chris Vaisvil made a do it yourself 23 edo electric guitar out of less than $50 of material. Here he is playing it.<br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:701:&lt;img src=&quot;/file/view/playing.jpg/241873781/playing.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/playing.jpg/241873781/playing.jpg" alt="playing.jpg" title="playing.jpg" /><!-- ws:end:WikiTextLocalImageRule:701 --><br /> | ||
Here is a still shot of the completed instrument.<br /> | Here is a still shot of the completed instrument.<br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:702:&lt;img src=&quot;/file/view/complette.jpg/241873831/complette.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/complette.jpg/241873831/complette.jpg" alt="complette.jpg" title="complette.jpg" /><!-- ws:end:WikiTextLocalImageRule:702 --><br /> | ||
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.<br /> | 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.<br /> | ||
<!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/youtube/K4iO7k152og?h=349&amp;w=560&quot; class=&quot;WikiMedia WikiMediaYoutube&quot; id=&quot;wikitext@@media@@type=&amp;quot;youtube&amp;quot; key=&amp;quot;K4iO7k152og&amp;quot; height=&amp;quot;349&amp;quot; width=&amp;quot;560&amp;quot;&quot; title=&quot;YouTube Video&quot;height=&quot;349&quot; width=&quot;560&quot;/&gt; --><iframe width="560" height="349" src="//www.youtube.com/embed/K4iO7k152og" frameborder="0" allowfullscreen></iframe><!-- ws:end:WikiTextMediaRule:1 --></body></html></pre></div> | <!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/youtube/K4iO7k152og?h=349&amp;w=560&quot; class=&quot;WikiMedia WikiMediaYoutube&quot; id=&quot;wikitext@@media@@type=&amp;quot;youtube&amp;quot; key=&amp;quot;K4iO7k152og&amp;quot; height=&amp;quot;349&amp;quot; width=&amp;quot;560&amp;quot;&quot; title=&quot;YouTube Video&quot;height=&quot;349&quot; width=&quot;560&quot;/&gt; --><iframe width="560" height="349" src="//www.youtube.com/embed/K4iO7k152og" frameborder="0" allowfullscreen></iframe><!-- ws:end:WikiTextMediaRule:1 --></body></html></pre></div> | ||