33ed4: Difference between revisions
Wikispaces>jauernig **Imported revision 536807520 - Original comment: ** |
Wikispaces>jauernig **Imported revision 536807712 - 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:jauernig|jauernig]] and made on <tt>2015-01-09 19: | : This revision was by author [[User:jauernig|jauernig]] and made on <tt>2015-01-09 19:15:15 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>536807712</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<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">**33ed4** is the [[ED4|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[xenharmonic/cent|cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of equivocal tuning. | <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">**33ed4** is the [[ED4|Equal Divisions of the Double Octave]] into 33 narrow chromatic semitones each of 72.727 [[xenharmonic/cent|cent]]s. It takes out every second step of [[33edo]] and falls between [[16edo]] and [[17edo]]. So even degree 16 or degree 17 can play the role of the [[octave]], depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of <span style="color: #00cc00;">equivocal tuning</span>. | ||
It has a [[9_5|9/5]] which is 0.6 cents sharp, a [[7_5|7/5]] which is 0.7 cents flat, and a [[9_7|9/7]] which is 1.3 cents sharp. Therefore it is closely related to [[13edt]], the [[Bohlen-Pierce]] scale, although it has no pure [[3_1|3/1]], which is 11.1 cents flat. | It has a [[9_5|9/5]] which is 0.6 cents sharp, a [[7_5|7/5]] which is 0.7 cents flat, and a [[9_7|9/7]] which is 1.3 cents sharp. Therefore it is closely related to [[13edt]], the [[Bohlen-Pierce]] scale, although it has no pure [[3_1|3/1]], which is 11.1 cents flat. | ||
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||> **14** ||> **1018,2** ||> **9/5** ||> **1017,6** ||> **0,6** || | ||> **14** ||> **1018,2** ||> **9/5** ||> **1017,6** ||> **0,6** || | ||
||> 15 ||> 1090,9 ||> 15/8 ||> 1088,3 ||> 2,6 || | ||> 15 ||> 1090,9 ||> 15/8 ||> 1088,3 ||> 2,6 || | ||
||> 16 ||> 1163,6 ||> 45/23 ||> 1161,9 ||> 1,7 || | ||> **<span style="color: #00cc00;">16</span>** ||> **<span style="color: #00cc00;">1163,6</span>** ||> **<span style="color: #00cc00;">45/23</span>** ||> **<span style="color: #00cc00;">1161,9</span>** ||> **<span style="color: #00cc00;">1,7</span>** || | ||
||> 17 ||> 1236,4 ||> 49/24 ||> 1235,7 ||> 0,7 || | ||> **<span style="color: #00cc00;">17</span>** ||> **<span style="color: #00cc00;">1236,4</span>** ||> **<span style="color: #00cc00;">49/24</span>** ||> **<span style="color: #00cc00;">1235,7</span>** ||> **<span style="color: #00cc00;">0,7</span>** || | ||
||> 18 ||> 1309,1 ||> 32/15 ||> 1311,7 ||> -2,6 || | ||> 18 ||> 1309,1 ||> 32/15 ||> 1311,7 ||> -2,6 || | ||
||> **19** ||> **1381,8** ||> **20/9** ||> **1382,4** ||> **-0,6** || | ||> **19** ||> **1381,8** ||> **20/9** ||> **1382,4** ||> **-0,6** || | ||
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[[http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4|Equivocal Tuning]] by Ahornberg</pre></div> | [[http://soundcloud.com/ahornberg/sets/equivocal-tuning-33ed4|Equivocal Tuning]] by Ahornberg</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<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>33ed4</title></head><body><strong>33ed4</strong> is the <a class="wiki_link" href="/ED4">Equal Divisions of the Double Octave</a> into 33 narrow chromatic semitones each of 72.727 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. It takes out every second step of <a class="wiki_link" href="/33edo">33edo</a> and falls between <a class="wiki_link" href="/16edo">16edo</a> and <a class="wiki_link" href="/17edo">17edo</a>. So even degree 16 or degree 17 can play the role of the <a class="wiki_link" href="/octave">octave</a>, depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of equivocal tuning.<br /> | <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>33ed4</title></head><body><strong>33ed4</strong> is the <a class="wiki_link" href="/ED4">Equal Divisions of the Double Octave</a> into 33 narrow chromatic semitones each of 72.727 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cent</a>s. It takes out every second step of <a class="wiki_link" href="/33edo">33edo</a> and falls between <a class="wiki_link" href="/16edo">16edo</a> and <a class="wiki_link" href="/17edo">17edo</a>. So even degree 16 or degree 17 can play the role of the <a class="wiki_link" href="/octave">octave</a>, depending on the actual melodic or harmonic situation in a given composition. So it can be seen as a kind of <span style="color: #00cc00;">equivocal tuning</span>.<br /> | ||
<br /> | <br /> | ||
It has a <a class="wiki_link" href="/9_5">9/5</a> which is 0.6 cents sharp, a <a class="wiki_link" href="/7_5">7/5</a> which is 0.7 cents flat, and a <a class="wiki_link" href="/9_7">9/7</a> which is 1.3 cents sharp. Therefore it is closely related to <a class="wiki_link" href="/13edt">13edt</a>, the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale, although it has no pure <a class="wiki_link" href="/3_1">3/1</a>, which is 11.1 cents flat.<br /> | It has a <a class="wiki_link" href="/9_5">9/5</a> which is 0.6 cents sharp, a <a class="wiki_link" href="/7_5">7/5</a> which is 0.7 cents flat, and a <a class="wiki_link" href="/9_7">9/7</a> which is 1.3 cents sharp. Therefore it is closely related to <a class="wiki_link" href="/13edt">13edt</a>, the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale, although it has no pure <a class="wiki_link" href="/3_1">3/1</a>, which is 11.1 cents flat.<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: right;">16<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">16</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">1163,6<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">1163,6</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">45/23<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">45/23</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">1161,9<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">1161,9</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">1,7<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">1,7</span></strong><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: right;">17<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">17</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">1236,4<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">1236,4</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">49/24<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">49/24</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">1235,7<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">1235,7</span></strong><br /> | ||
</td> | </td> | ||
<td style="text-align: right;">0,7<br /> | <td style="text-align: right;"><strong><span style="color: #00cc00;">0,7</span></strong><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||