29edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 545660880 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 575219613 - 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:xenwolf|xenwolf]] and made on <tt>2016-02-18 16:49:47 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>575219613</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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See also: [[29edo solfege]] | See also: [[29edo solfege]] | ||
[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | [[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | ||
==Selected just intervals by error== | |||
The following table shows how [[Just-24|some prominent just intervals]] are represented in 29edo (ordered by absolute error). | |||
|| **Interval, complement** || **Error (abs., in [[cent|cents]])** || | |||
||= [[13_11|13/11]], [[22_13|22/13]] ||= 0.445 || | |||
||= [[11_10|11/10]], [[20_11|20/11]] ||= 0.513 || | |||
||= [[15_13|15/13]], [[26_15|26/15]] ||= 0.535 || | |||
||= [[13_10|13/10]], [[20_13|20/13]] ||= 0.958 || | |||
||= [[15_11|15/11]], [[22_15|22/15]] ||= 0.980 || | |||
||= [[4_3|4/3]], [[3_2|3/2]] ||= 1.493 || | |||
||= [[9_8|9/8]], [[16_9|16/9]] ||= 2.987 || | |||
||= [[7_5|7/5]], [[10_7|10/7]] ||= 3.202 || | |||
||= [[14_11|14/11]], [[11_7|11/7]] ||= 3.715 || | |||
||= [[14_13|14/13]], [[13_7|13/7]] ||= 4.160 || | |||
||= [[15_14|15/14]], [[28_15|28/15]] ||= 4.695 || | |||
||= [[16_15|16/15]], [[15_8|15/8]] ||= 12.407 || | |||
||= [[16_13|16/13]], [[13_8|13/8]] ||= 12.941 || | |||
||= [[11_8|11/8]], [[16_11|16/11]] ||= 13.387 || | |||
||= [[5_4|5/4]], [[8_5|8/5]] ||= 13.900 || | |||
||= [[13_12|13/12]], [[24_13|24/13]] ||= 14.435 || | |||
||= [[12_11|12/11]], [[11_6|11/6]] ||= 14.880 || | |||
||= [[6_5|6/5]], [[5_3|5/3]] ||= 15.393 || | |||
||= [[18_13|18/13]], [[13_9|13/9]] ||= 15.928 || | |||
||= [[11_9|11/9]], [[18_11|18/11]] ||= 16.373 || | |||
||= [[10_9|10/9]], [[9_5|9/5]] ||= 16.886 || | |||
||= [[8_7|8/7]], [[7_4|7/4]] ||= 17.102 || | |||
||= [[7_6|7/6]], [[12_7|12/7]] ||= 18.595 || | |||
||= [[9_7|9/7]], [[14_9|14/9]] ||= 20.088 || | |||
=Commas= | =Commas= | ||
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> [[image:https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg width="305" height="936"]]</pre></div> | > [[image:https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg width="305" height="936"]]</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>29edo</title></head><body><!-- ws:start:WikiTextTocRule: | <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>29edo</title></head><body><!-- ws:start:WikiTextTocRule:18:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:18 --><!-- ws:start:WikiTextTocRule:19: --><a href="#x29 tone equal temperament">29 tone equal temperament</a><!-- ws:end:WikiTextTocRule:19 --><!-- ws:start:WikiTextTocRule:20: --> | <a href="#Intervals and linear temperaments">Intervals and linear temperaments</a><!-- ws:end:WikiTextTocRule:20 --><!-- ws:start:WikiTextTocRule:21: --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Scales">Scales</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:28 --><hr /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x29 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #ff4700; font-family: 'Times New Roman',Times,serif; font-size: 113%;">29 tone equal temperament</span></h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x29 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #ff4700; font-family: 'Times New Roman',Times,serif; font-size: 113%;">29 tone equal temperament</span></h1> | ||
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See also: <a class="wiki_link" href="/29edo%20solfege">29edo solfege</a><br /> | See also: <a class="wiki_link" href="/29edo%20solfege">29edo solfege</a><br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:748:&lt;img src=&quot;/file/view/29edothumb.png/277524658/29edothumb.png&quot; alt=&quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&quot; title=&quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /></td></tr><tr><td class="imageCaption">this example in Sagittal notation shows 29-edo as a fifth-tone system.</td></tr></table><!-- ws:end:WikiTextLocalImageRule:748 --><br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals and linear temperaments-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:4 -->Selected just intervals by error</h2> | |||
The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 29edo (ordered by absolute error).<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td><strong>Interval, complement</strong><br /> | |||
</td> | |||
<td><strong>Error (abs., in <a class="wiki_link" href="/cent">cents</a>)</strong><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a>, <a class="wiki_link" href="/22_13">22/13</a><br /> | |||
</td> | |||
<td style="text-align: center;">0.445<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/11_10">11/10</a>, <a class="wiki_link" href="/20_11">20/11</a><br /> | |||
</td> | |||
<td style="text-align: center;">0.513<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/15_13">15/13</a>, <a class="wiki_link" href="/26_15">26/15</a><br /> | |||
</td> | |||
<td style="text-align: center;">0.535<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/13_10">13/10</a>, <a class="wiki_link" href="/20_13">20/13</a><br /> | |||
</td> | |||
<td style="text-align: center;">0.958<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/22_15">22/15</a><br /> | |||
</td> | |||
<td style="text-align: center;">0.980<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a>, <a class="wiki_link" href="/3_2">3/2</a><br /> | |||
</td> | |||
<td style="text-align: center;">1.493<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, <a class="wiki_link" href="/16_9">16/9</a><br /> | |||
</td> | |||
<td style="text-align: center;">2.987<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a><br /> | |||
</td> | |||
<td style="text-align: center;">3.202<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/11_7">11/7</a><br /> | |||
</td> | |||
<td style="text-align: center;">3.715<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/13_7">13/7</a><br /> | |||
</td> | |||
<td style="text-align: center;">4.160<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/28_15">28/15</a><br /> | |||
</td> | |||
<td style="text-align: center;">4.695<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/16_15">16/15</a>, <a class="wiki_link" href="/15_8">15/8</a><br /> | |||
</td> | |||
<td style="text-align: center;">12.407<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/16_13">16/13</a>, <a class="wiki_link" href="/13_8">13/8</a><br /> | |||
</td> | |||
<td style="text-align: center;">12.941<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, <a class="wiki_link" href="/16_11">16/11</a><br /> | |||
</td> | |||
<td style="text-align: center;">13.387<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/5_4">5/4</a>, <a class="wiki_link" href="/8_5">8/5</a><br /> | |||
</td> | |||
<td style="text-align: center;">13.900<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/13_12">13/12</a>, <a class="wiki_link" href="/24_13">24/13</a><br /> | |||
</td> | |||
<td style="text-align: center;">14.435<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/12_11">12/11</a>, <a class="wiki_link" href="/11_6">11/6</a><br /> | |||
</td> | |||
<td style="text-align: center;">14.880<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/6_5">6/5</a>, <a class="wiki_link" href="/5_3">5/3</a><br /> | |||
</td> | |||
<td style="text-align: center;">15.393<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/18_13">18/13</a>, <a class="wiki_link" href="/13_9">13/9</a><br /> | |||
</td> | |||
<td style="text-align: center;">15.928<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, <a class="wiki_link" href="/18_11">18/11</a><br /> | |||
</td> | |||
<td style="text-align: center;">16.373<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/10_9">10/9</a>, <a class="wiki_link" href="/9_5">9/5</a><br /> | |||
</td> | |||
<td style="text-align: center;">16.886<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/7_4">7/4</a><br /> | |||
</td> | |||
<td style="text-align: center;">17.102<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/7_6">7/6</a>, <a class="wiki_link" href="/12_7">12/7</a><br /> | |||
</td> | |||
<td style="text-align: center;">18.595<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;"><a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a><br /> | |||
</td> | |||
<td style="text-align: center;">20.088<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->Commas</h1> | ||
29 EDO tempers out the following commas. (Note: This assumes the val &lt; 29 46 67 81 100 107 |, cent values rounded to 5 digits.)<br /> | 29 EDO tempers out the following commas. (Note: This assumes the val &lt; 29 46 67 81 100 107 |, cent values rounded to 5 digits.)<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:8 -->Scales</h1> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">bridgetown9</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">bridgetown9</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">bridgetown14</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">bridgetown14</a><br /> | ||
<a class="wiki_link_ext" href="http://www.youtube.com/watch?v=uP2Z4Gy8lds" rel="nofollow">Escala Tonal de 17 tonos - Charles Loli</a><br /> | <a class="wiki_link_ext" href="http://www.youtube.com/watch?v=uP2Z4Gy8lds" rel="nofollow">Escala Tonal de 17 tonos - Charles Loli</a><br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:10 -->Music</h1> | ||
<a class="wiki_link_ext" href="http://www.microtonalismo.com/el-teclado-29-edo" rel="nofollow">Mp3 29EDO - Escala tonal de 17 notas</a>by <a class="wiki_link_ext" href="http://musicool.us/musicool/armonia.htm" rel="nofollow">Charles Loli A.</a><br /> | <a class="wiki_link_ext" href="http://www.microtonalismo.com/el-teclado-29-edo" rel="nofollow">Mp3 29EDO - Escala tonal de 17 notas</a>by <a class="wiki_link_ext" href="http://musicool.us/musicool/armonia.htm" rel="nofollow">Charles Loli A.</a><br /> | ||
<a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/IgliashonJones">Igliashon Jones</a><br /> | <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/IgliashonJones">Igliashon Jones</a><br /> | ||
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<a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/images/stranded.mid" rel="nofollow">Stranded at Sea</a> by Mats Öljare<br /> | <a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/images/stranded.mid" rel="nofollow">Stranded at Sea</a> by Mats Öljare<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Music-Instruments"></a><!-- ws:end:WikiTextHeadingRule:12 -->Instruments</h2> | ||
<a class="wiki_link_ext" href="http://www.microtonalismo.com/" rel="nofollow" target="_blank">Guitar 29EDO</a><br /> | <a class="wiki_link_ext" href="http://www.microtonalismo.com/" rel="nofollow" target="_blank">Guitar 29EDO</a><br /> | ||
<ul><li><!-- ws:start:WikiTextHeadingRule: | <ul><li><!-- ws:start:WikiTextHeadingRule:14:&lt;h4&gt; --><h4 id="toc7"><a name="Music-Instruments--Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:14 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Guitar 29EDO from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:749:&lt;img src=&quot;http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 891px; width: 321px;&quot; /&gt; --><img src="http://content.pimp-my-profile.com/i116/2/10/29/f_735065b21747.jpg" alt="external image f_735065b21747.jpg" title="external image f_735065b21747.jpg" style="height: 891px; width: 321px;" /><!-- ws:end:WikiTextRemoteImageRule:749 --></li></ul><br /> | ||
<a class="wiki_link_ext" href="http://www.microtonalismo.com/" rel="nofollow" target="_blank">Bass 29EDO</a><br /> | <a class="wiki_link_ext" href="http://www.microtonalismo.com/" rel="nofollow" target="_blank">Bass 29EDO</a><br /> | ||
<ul><li><!-- ws:start:WikiTextHeadingRule: | <ul><li><!-- ws:start:WikiTextHeadingRule:16:&lt;h4&gt; --><h4 id="toc8"><a name="Music-Instruments--Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:16 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Bass 29EDO from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:750:&lt;img src=&quot;https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 936px; width: 305px;&quot; /&gt; --><img src="https://fbcdn-sphotos-c-a.akamaihd.net/hphotos-ak-prn1/r90/550502_538613626155939_2005925977_n.jpg" alt="external image 550502_538613626155939_2005925977_n.jpg" title="external image 550502_538613626155939_2005925977_n.jpg" style="height: 936px; width: 305px;" /><!-- ws:end:WikiTextRemoteImageRule:750 --></li></ul></body></html></pre></div> | ||