29edo: Difference between revisions
Wikispaces>xenwolf **Imported revision 575219613 - Original comment: ** |
Wikispaces>hstraub **Imported revision 585350997 - 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:hstraub|hstraub]] and made on <tt>2016-06-14 04:46:26 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>585350997</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">[[toc|flat]] | <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="display: block; text-align: right;">[[xenharmonie/29edo|Deutsch]] | ||
</span> | |||
<span style="text-align: right;">[[toc|flat]] | |||
</span> | |||
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The following table shows how [[Just-24|some prominent just intervals]] are represented in 29edo (ordered by absolute 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]])** || | || **Interval, complement** || **Error (abs., in [[cent|cents]])** || | ||
||= [[13_11|13/11]], [[22_13|22/13]] ||= | ||= [[13_11|13/11]], [[22_13|22/13]] ||= 0.445 || | ||
||= [[11_10|11/10]], [[20_11|20/11]] ||= | ||= [[11_10|11/10]], [[20_11|20/11]] ||= 0.513 || | ||
||= [[15_13|15/13]], [[26_15|26/15]] ||= | ||= [[15_13|15/13]], [[26_15|26/15]] ||= 0.535 || | ||
||= [[13_10|13/10]], [[20_13|20/13]] ||= | ||= [[13_10|13/10]], [[20_13|20/13]] ||= 0.958 || | ||
||= [[15_11|15/11]], [[22_15|22/15]] ||= | ||= [[15_11|15/11]], [[22_15|22/15]] ||= 0.980 || | ||
||= [[4_3|4/3]], | ||= [[4_3|4/3]], [[3_2|3/2]] ||= 1.493 || | ||
||= [[9_8|9/8]], | ||= [[9_8|9/8]], [[16_9|16/9]] ||= 2.987 || | ||
||= [[7_5|7/5]], | ||= [[7_5|7/5]], [[10_7|10/7]] ||= 3.202 || | ||
||= [[14_11|14/11]], [[11_7|11/7]] | ||= [[14_11|14/11]], [[11_7|11/7]] ||= 3.715 || | ||
||= [[14_13|14/13]], [[13_7|13/7]] | ||= [[14_13|14/13]], [[13_7|13/7]] ||= 4.160 || | ||
||= [[15_14|15/14]], [[28_15|28/15]] ||= | ||= [[15_14|15/14]], [[28_15|28/15]] ||= 4.695 || | ||
||= [[16_15|16/15]], [[15_8|15/8]] | ||= [[16_15|16/15]], [[15_8|15/8]] ||= 12.407 || | ||
||= [[16_13|16/13]], [[13_8|13/8]] | ||= [[16_13|16/13]], [[13_8|13/8]] ||= 12.941 || | ||
||= [[11_8|11/8]], | ||= [[11_8|11/8]], [[16_11|16/11]] ||= 13.387 || | ||
||= [[5_4|5/4]], | ||= [[5_4|5/4]], [[8_5|8/5]] ||= 13.900 || | ||
||= [[13_12|13/12]], [[24_13|24/13]] ||= 14.435 || | ||= [[13_12|13/12]], [[24_13|24/13]] ||= 14.435 || | ||
||= [[12_11|12/11]], [[11_6|11/6]] | ||= [[12_11|12/11]], [[11_6|11/6]] ||= 14.880 || | ||
||= [[6_5|6/5]], | ||= [[6_5|6/5]], [[5_3|5/3]] ||= 15.393 || | ||
||= [[18_13|18/13]], [[13_9|13/9]] | ||= [[18_13|18/13]], [[13_9|13/9]] ||= 15.928 || | ||
||= [[11_9|11/9]], | ||= [[11_9|11/9]], [[18_11|18/11]] ||= 16.373 || | ||
||= [[10_9|10/9]], | ||= [[10_9|10/9]], [[9_5|9/5]] ||= 16.886 || | ||
||= [[8_7|8/7]], | ||= [[8_7|8/7]], [[7_4|7/4]] ||= 17.102 || | ||
||= [[7_6|7/6]], | ||= [[7_6|7/6]], [[12_7|12/7]] ||= 18.595 || | ||
||= [[9_7|9/7]], | ||= [[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: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: --> | <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><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/29edo">Deutsch</a><br /> | ||
<!-- ws:end:WikiTextTocRule:28 --><hr /> | </span><br /> | ||
<span style="text-align: right;"><!-- 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: --> | |||
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<!-- 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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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a>, | <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> | ||
<td style="text-align: center;">1.493<br /> | <td style="text-align: center;">1.493<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, | <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> | ||
<td style="text-align: center;">2.987<br /> | <td style="text-align: center;">2.987<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/7_5">7/5</a>, | <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> | ||
<td style="text-align: center;">3.202<br /> | <td style="text-align: center;">3.202<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, | <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> | ||
<td style="text-align: center;">13.387<br /> | <td style="text-align: center;">13.387<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/5_4">5/4</a>, | <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> | ||
<td style="text-align: center;">13.900<br /> | <td style="text-align: center;">13.900<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/6_5">6/5</a>, | <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> | ||
<td style="text-align: center;">15.393<br /> | <td style="text-align: center;">15.393<br /> | ||
| Line 642: | Line 655: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, | <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> | ||
<td style="text-align: center;">16.373<br /> | <td style="text-align: center;">16.373<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/10_9">10/9</a>, | <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> | ||
<td style="text-align: center;">16.886<br /> | <td style="text-align: center;">16.886<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a>, | <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> | ||
<td style="text-align: center;">17.102<br /> | <td style="text-align: center;">17.102<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/7_6">7/6</a>, | <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> | ||
<td style="text-align: center;">18.595<br /> | <td style="text-align: center;">18.595<br /> | ||
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</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: center;"><a class="wiki_link" href="/9_7">9/7</a>, | <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> | ||
<td style="text-align: center;">20.088<br /> | <td style="text-align: center;">20.088<br /> | ||