23edo: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 211896084 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 216466006 - 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:genewardsmith|genewardsmith]] and made on <tt>2011- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-04-02 13:59:40 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>216466006</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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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=<span style="color: #007a1b; display: block;">23 tone equal temperament</span>= | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=<span style="color: #007a1b; display: block;">23 tone equal temperament</span>= | ||
23et, or 23-EDO, is a tuning system which divides the [[octave]] into 23 equal parts of approximately 52.173913 cents. It has good approximations for 5/3, 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 46et, the larger 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 46, and may be regarded as a basis for analyzing the harmony of 23-EDO so far as approximations to just intervals goes. | |||
==Intervals== | ==Intervals== | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>23edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x23 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a1b; display: block;">23 tone equal temperament</span></h1> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>23edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x23 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a1b; display: block;">23 tone equal temperament</span></h1> | ||
<br /> | <br /> | ||
23et, or 23-EDO, is a tuning system which divides the <a class="wiki_link" href="/octave">octave</a> into 23 equal parts of approximately 52.173913 cents. It has good approximations for 5/3, 11/7, 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 17-limit 46et, the larger 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 46, and may be regarded as a basis for analyzing the harmony of 23-EDO so far as approximations to just intervals goes. <br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x23 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x23 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2> | ||
Revision as of 13:59, 2 April 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-04-02 13:59:40 UTC.
- The original revision id was 216466006.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=<span style="color: #007a1b; display: block;">23 tone equal temperament</span>= 23et, or 23-EDO, is a tuning system which divides the [[octave]] into 23 equal parts of approximately 52.173913 cents. It has good approximations for 5/3, 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 46et, the larger 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 46, and may be regarded as a basis for analyzing the harmony of 23-EDO so far as approximations to just intervals goes. ==Intervals== || [[Degree]]s of 23-EDO || [[Cent]]s value || || 0 || 0 || || 1 || 52.1739 || || 2 || 104.3478 || || 3 || 156.5217 || || 4 || 208.6957 || || 5 || 260.8696 || || 6 || 313.0435 || || 7 || 365.2174 || || 8 || 417.3913 || || 9 || 469.5652 || || 10 || 521.7391 || || 11 || 573.913 || || 12 || 626.087 || || 13 || 678.2609 || || 14 || 730.4348 || || 15 || 782.6087 || || 16 || 834.7826 || || 17 || 886.9565 || || 18 || 939.1304 || || 19 || 991.3043 || || 20 || 1043.4783 || || 21 || 1095.6522 || || 22 || 1147.8261 || ===INSTRUMENTS=== [[image:Icositriphonic_Bass.JPG width="560" height="182"]] [[image:Icositriphonic_Guitar.PNG width="533" height="237"]] **23 tone [[Equal Modes]]:** 10 10 3 9 9 5 8 8 7 7 7 7 2 6 6 6 5 5 4 5 4 5 5 5 5 5 3 5 3 5 5 5 4 4 4 4 4 3 4 3 3 3 3 3 4 3 3 4 3 3 3 4 3 3 3 4 3 3 4 3 3 3 4 3 4 3 2 5 2 5 2 5 2 4 1 4 4 1 4 4 1 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 **3 3 3 1 3 3 3 3 1** 3 3 1 3 3 3 1 3 3 3 2 3 2 3 2 3 2 3 2 2 3 2 2 3 2 2 2 3 2 2 2 1 2 2 2 1 2 2 2 2 1 **2 1 2 2 1 2 2 1 2 2 1 2 2 1** 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1 =Compositions= [[http://soundclick.com/share?songid=5683734|A Walk Through the Valley of Ashes]] by Iglashion Jones [[http://www.akjmusic.com/audio/boogie_pie.mp3|Boogie Pie]], Aaron Krister Johnson [[http://www.nonoctave.com/tunes/CosmicChamber.mp3|Cosmic Chamber]] by X. J. Scott [[http://www.nonoctave.com/tunes/Daisies.mp3|Daisies on the Beach]] by X. J. Scott =Books= [[image:Libro_Icositrifónico.PNG]] =Keyboards= [[image:Teclado_Icositrifónico.PNG width="567" height="297"]]
Original HTML content:
<html><head><title>23edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x23 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #007a1b; display: block;">23 tone equal temperament</span></h1>
<br />
23et, or 23-EDO, is a tuning system which divides the <a class="wiki_link" href="/octave">octave</a> into 23 equal parts of approximately 52.173913 cents. It has good approximations for 5/3, 11/7, 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 17-limit 46et, the larger 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 46, and may be regarded as a basis for analyzing the harmony of 23-EDO so far as approximations to just intervals goes. <br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x23 tone equal temperament-Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h2>
<table class="wiki_table">
<tr>
<td><a class="wiki_link" href="/Degree">Degree</a>s of 23-EDO<br />
</td>
<td><a class="wiki_link" href="/Cent">Cent</a>s value<br />
</td>
</tr>
<tr>
<td>0<br />
</td>
<td>0<br />
</td>
</tr>
<tr>
<td>1<br />
</td>
<td>52.1739<br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>104.3478<br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>156.5217<br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>208.6957<br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>260.8696<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>313.0435<br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>365.2174<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>417.3913<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>469.5652<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>521.7391<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>573.913<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>626.087<br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>678.2609<br />
</td>
</tr>
<tr>
<td>14<br />
</td>
<td>730.4348<br />
</td>
</tr>
<tr>
<td>15<br />
</td>
<td>782.6087<br />
</td>
</tr>
<tr>
<td>16<br />
</td>
<td>834.7826<br />
</td>
</tr>
<tr>
<td>17<br />
</td>
<td>886.9565<br />
</td>
</tr>
<tr>
<td>18<br />
</td>
<td>939.1304<br />
</td>
</tr>
<tr>
<td>19<br />
</td>
<td>991.3043<br />
</td>
</tr>
<tr>
<td>20<br />
</td>
<td>1043.4783<br />
</td>
</tr>
<tr>
<td>21<br />
</td>
<td>1095.6522<br />
</td>
</tr>
<tr>
<td>22<br />
</td>
<td>1147.8261<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h3> --><h3 id="toc2"><a name="x23 tone equal temperament-Intervals-INSTRUMENTS"></a><!-- ws:end:WikiTextHeadingRule:4 -->INSTRUMENTS</h3>
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<strong>23 tone <a class="wiki_link" href="/Equal%20Modes">Equal Modes</a>:</strong><br />
<br />
10 10 3<br />
9 9 5<br />
8 8 7<br />
7 7 7 2<br />
6 6 6 5<br />
5 4 5 4 5<br />
5 5 5 5 3<br />
5 3 5 5 5<br />
4 4 4 4 4 3<br />
4 3 3 3 3 3 4<br />
3 3 4 3 3 3 4<br />
3 3 3 4 3 3 4<br />
3 3 3 4 3 4 3<br />
2 5 2 5 2 5 2<br />
4 1 4 4 1 4 4 1<br />
3 3 3 3 3 3 3 2<br />
3 2 3 3 3 3 3 3<br />
<strong>3 3 3 1 3 3 3 3 1</strong><br />
3 3 1 3 3 3 1 3 3<br />
3 2 3 2 3 2 3 2 3<br />
2 2 3 2 2 3 2 2 2 3<br />
2 2 2 1 2 2 2 1 2 2 2 2 1<br />
<strong>2 1 2 2 1 2 2 1 2 2 1 2 2 1</strong><br />
2 1 2 1 2 1 2 1 2 1 2 1 2 1 2<br />
2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 1<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:6 -->Compositions</h1>
<a class="wiki_link_ext" href="http://soundclick.com/share?songid=5683734" rel="nofollow">A Walk Through the Valley of Ashes</a> by Iglashion Jones<br />
<a class="wiki_link_ext" href="http://www.akjmusic.com/audio/boogie_pie.mp3" rel="nofollow">Boogie Pie</a>, Aaron Krister Johnson<br />
<a class="wiki_link_ext" href="http://www.nonoctave.com/tunes/CosmicChamber.mp3" rel="nofollow">Cosmic Chamber</a> by X. J. Scott<br />
<a class="wiki_link_ext" href="http://www.nonoctave.com/tunes/Daisies.mp3" rel="nofollow">Daisies on the Beach</a> by X. J. Scott<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:8 -->Books</h1>
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<br />
<!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="Keyboards"></a><!-- ws:end:WikiTextHeadingRule:10 -->Keyboards</h1>
<br />
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