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- | : 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> | : 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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||= <span style="color: #660000;">[[Degree]]*</span> ||= [[Cent]]s ||= Approximate | ||= <span style="color: #660000;">[[Degree]]*</span> ||= [[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 | ||= 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. | ||
**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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<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="x23 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 --><span style="font-size: 1.4em;">Intervals</span></h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="x23 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 --><span style="font-size: 1.4em;">Intervals</span></h2> | ||
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</td> | </td> | ||
<td style="text-align: center;">Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
Ratios | Ratios **<br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: center;">Major wider<br /> | <td colspan="2" style="text-align: center;">Major wider<br /> | ||
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<td style="text-align: center;">1#<br /> | <td style="text-align: center;">1#<br /> | ||
</td> | </td> | ||
<td>Less than 1 | <td>Less than 1 cent off 17/16<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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</table> | </table> | ||
<ul><li>the dots indicate which frets on a 23-edo guitar would have dots.<ul><li>based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible.</li></ul></li></ul><br /> | |||
< | |||
<br /> | |||
The chart below shows some of the <a class="wiki_link" href="/MOSScales">Moment of Symmetry (MOS)</a> modes of <a class="wiki_link" href="/Mavila">Mavila</a> 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:<br /> | The chart below shows some of the <a class="wiki_link" href="/MOSScales">Moment of Symmetry (MOS)</a> modes of <a class="wiki_link" href="/Mavila">Mavila</a> 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:<br /> | ||
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23-EDO was proposed by ethnomusicologist <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erich_von_Hornbostel" rel="nofollow">Erich von Hornbostel</a> as the result of continuing a circle of &quot;blown&quot; fifths of ~678-cent fifths that (he argued) resulted from &quot;overblowing&quot; a bamboo pipe.<br /> | 23-EDO was proposed by ethnomusicologist <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Erich_von_Hornbostel" rel="nofollow">Erich von Hornbostel</a> as the result of continuing a circle of &quot;blown&quot; fifths of ~678-cent fifths that (he argued) resulted from &quot;overblowing&quot; a bamboo pipe.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:14 -->Books</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:14 -->Books</h1> | ||
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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> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1023:&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:1023 --><br /> | ||
<em>An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.</em><br /> | <em>An Icositriphonic 8-string Guitar. 23-ED2 Guitar by Ron Sword.</em><br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1024:&lt;img src=&quot;/file/view/Icositriphonic_Bass.JPG/206711470/640x193/Icositriphonic_Bass.JPG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 193px; width: 640px;&quot; /&gt; --><img src="/file/view/Icositriphonic_Bass.JPG/206711470/640x193/Icositriphonic_Bass.JPG" alt="Icositriphonic_Bass.JPG" title="Icositriphonic_Bass.JPG" style="height: 193px; width: 640px;" /><!-- ws:end:WikiTextLocalImageRule:1024 --><br /> | ||
<em>An Icositriphonic P-Bass. 23-ED2 Bass by Tútim Dennsuul Wafiil.</em><br /> | <em>An Icositriphonic P-Bass. 23-ED2 Bass by Tútim Dennsuul Wafiil.</em><br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1025:&lt;img src=&quot;/file/view/Icositriphonic%20Gitar%201.png/358559595/640x216/Icositriphonic%20Gitar%201.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 216px; width: 640px;&quot; /&gt; --><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;" /><!-- ws:end:WikiTextLocalImageRule:1025 --><br /> | ||
<em>An Icositriphonic 'Hendrix' TravelGuitar. 23-ED2 'Gitar' by Tútim Dennsuul Wafiil.</em><br /> | <em>An Icositriphonic 'Hendrix' TravelGuitar. 23-ED2 'Gitar' by Tútim Dennsuul Wafiil.</em><br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1026:&lt;img src=&quot;/file/view/Icositritar%201.png/358559793/640x271/Icositritar%201.png&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 271px; width: 640px;&quot; /&gt; --><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;" /><!-- ws:end:WikiTextLocalImageRule:1026 --><br /> | ||
<em>The 'Icositritar', 23-ED2 5-string Acoustic Guitar by Tútim Dennsuul Wafiil.</em><br /> | <em>The 'Icositritar', 23-ED2 5-string Acoustic Guitar by Tútim Dennsuul Wafiil.</em><br /> | ||
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<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:1027:&lt;img src=&quot;/file/view/Teclado%20Icositrif%C3%B3nico.PNG/390051980/607x323/Teclado%20Icositrif%C3%B3nico.PNG&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 323px; width: 607px;&quot; /&gt; --><img src="/file/view/Teclado%20Icositrif%C3%B3nico.PNG/390051980/607x323/Teclado%20Icositrif%C3%B3nico.PNG" alt="Teclado Icositrifónico.PNG" title="Teclado Icositrifónico.PNG" style="height: 323px; width: 607px;" /><!-- ws:end:WikiTextLocalImageRule:1027 --><br /> | ||
<em>An illustrative image of a 23-ED2 Keyboard</em><br /> | <em>An illustrative image of a 23-ED2 Keyboard</em><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 /> | ||
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Here is a still shot of the completed instrument.<br /> | Here is a still shot of the completed instrument.<br /> | ||
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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.<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> | ||