65edo: Difference between revisions

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Wikispaces>xenwolf
**Imported revision 232739088 - Original comment: links to some intervals added**
Wikispaces>hstraub
**Imported revision 238143293 - Original comment: **
Line 1: Line 1:
<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:xenwolf|xenwolf]] and made on <tt>2011-05-29 16:20:04 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2011-06-22 07:08:59 UTC</tt>.<br>
: The original revision id was <tt>232739088</tt>.<br>
: The original revision id was <tt>238143293</tt>.<br>
: The revision comment was: <tt>links to some intervals added</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">=&lt;span style="color: #750063; font-size: 103%;"&gt;65 tone equal temperament&lt;/span&gt;=  
<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]]
----
 
=&lt;span style="color: #750063;"&gt;65 tone equal temperament&lt;/span&gt;=  
 
//65edo// divides the [[octave]] into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the [[schisma]], 32805/32768, the [[sensipent comma]], 78732/78125, and the [[wuerschmidt comma]], 393216/390625. In the [[7-limit]], there are two different maps; the first is &lt;65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is &lt;65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the [[5-limit]] over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit [[wuerschmidt temperament]] (wurschmidt and worschmidt) these two mappings provide.
//65edo// divides the [[octave]] into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the [[schisma]], 32805/32768, the [[sensipent comma]], 78732/78125, and the [[wuerschmidt comma]], 393216/390625. In the [[7-limit]], there are two different maps; the first is &lt;65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is &lt;65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the [[5-limit]] over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit [[wuerschmidt temperament]] (wurschmidt and worschmidt) these two mappings provide.


65edo approximates the intervals [[3_2|3/2]], [[5_4|5/4]], [[11_8|11/8]] and [[19_16|19/16]] well, so that it does a good job representing the 2.3.5.11.19 [[just intonation subgroup]]. To this one may want to add 13/8 and 17/16, giving the [[19-limit]] no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit [[k*N subgroups|2*65 subgroup]] 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as [[130edo]].
65edo approximates the intervals [[3_2|3/2]], [[5_4|5/4]], [[11_8|11/8]] and [[19_16|19/16]] well, so that it does a good job representing the 2.3.5.11.19 [[just intonation subgroup]]. To this one may want to add 13/8 and 17/16, giving the [[19-limit]] no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit [[k*N subgroups|2*65 subgroup]] 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as [[130edo]].


==Intervals==  
=Intervals=  
|| Degrees of 65-EDO || Cents value ||
|| Degrees of 65-EDO || Cents value ||
|| 0 || 0 ||
|| 0 || 0 ||
Line 77: Line 81:
|| 62 || 1144,6154 ||
|| 62 || 1144,6154 ||
|| 63 || 1163,0769 ||
|| 63 || 1163,0769 ||
|| 64 || 1181,5385 ||</pre></div>
|| 64 || 1181,5385 ||
 
=Scales=
[[photia7]]
[[photia12]]</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;65edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x65 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #750063; font-size: 103%;"&gt;65 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;65edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:6:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:6 --&gt;&lt;!-- ws:start:WikiTextTocRule:7: --&gt;&lt;a href="#x65 tone equal temperament"&gt;65 tone equal temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#Scales"&gt;Scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
  &lt;em&gt;65edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the &lt;a class="wiki_link" href="/schisma"&gt;schisma&lt;/a&gt;, 32805/32768, the &lt;a class="wiki_link" href="/sensipent%20comma"&gt;sensipent comma&lt;/a&gt;, 78732/78125, and the &lt;a class="wiki_link" href="/wuerschmidt%20comma"&gt;wuerschmidt comma&lt;/a&gt;, 393216/390625. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, there are two different maps; the first is &amp;lt;65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is &amp;lt;65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit &lt;a class="wiki_link" href="/wuerschmidt%20temperament"&gt;wuerschmidt temperament&lt;/a&gt; (wurschmidt and worschmidt) these two mappings provide.&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;hr /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x65 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #750063;"&gt;65 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
  &lt;br /&gt;
&lt;em&gt;65edo&lt;/em&gt; divides the &lt;a class="wiki_link" href="/octave"&gt;octave&lt;/a&gt; into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the &lt;a class="wiki_link" href="/schisma"&gt;schisma&lt;/a&gt;, 32805/32768, the &lt;a class="wiki_link" href="/sensipent%20comma"&gt;sensipent comma&lt;/a&gt;, 78732/78125, and the &lt;a class="wiki_link" href="/wuerschmidt%20comma"&gt;wuerschmidt comma&lt;/a&gt;, 393216/390625. In the &lt;a class="wiki_link" href="/7-limit"&gt;7-limit&lt;/a&gt;, there are two different maps; the first is &amp;lt;65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is &amp;lt;65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit &lt;a class="wiki_link" href="/wuerschmidt%20temperament"&gt;wuerschmidt temperament&lt;/a&gt; (wurschmidt and worschmidt) these two mappings provide.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
65edo approximates the intervals &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; and &lt;a class="wiki_link" href="/19_16"&gt;19/16&lt;/a&gt; well, so that it does a good job representing the 2.3.5.11.19 &lt;a class="wiki_link" href="/just%20intonation%20subgroup"&gt;just intonation subgroup&lt;/a&gt;. To this one may want to add 13/8 and 17/16, giving the &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt;2*65 subgroup&lt;/a&gt; 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as &lt;a class="wiki_link" href="/130edo"&gt;130edo&lt;/a&gt;.&lt;br /&gt;
65edo approximates the intervals &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;, &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt;, &lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt; and &lt;a class="wiki_link" href="/19_16"&gt;19/16&lt;/a&gt; well, so that it does a good job representing the 2.3.5.11.19 &lt;a class="wiki_link" href="/just%20intonation%20subgroup"&gt;just intonation subgroup&lt;/a&gt;. To this one may want to add 13/8 and 17/16, giving the &lt;a class="wiki_link" href="/19-limit"&gt;19-limit&lt;/a&gt; no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit &lt;a class="wiki_link" href="/k%2AN%20subgroups"&gt;2*65 subgroup&lt;/a&gt; 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as &lt;a class="wiki_link" href="/130edo"&gt;130edo&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x65 tone equal temperament-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h1&gt;
   
   


Line 486: Line 498:
&lt;/table&gt;
&lt;/table&gt;


&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Scales&lt;/h1&gt;
&lt;a class="wiki_link" href="/photia7"&gt;photia7&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/photia12"&gt;photia12&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 07:08, 22 June 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 hstraub and made on 2011-06-22 07:08:59 UTC.
The original revision id was 238143293.
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:

[[toc|flat]]
----

=<span style="color: #750063;">65 tone equal temperament</span>= 

//65edo// divides the [[octave]] into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the [[schisma]], 32805/32768, the [[sensipent comma]], 78732/78125, and the [[wuerschmidt comma]], 393216/390625. In the [[7-limit]], there are two different maps; the first is <65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is <65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the [[5-limit]] over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit [[wuerschmidt temperament]] (wurschmidt and worschmidt) these two mappings provide.

65edo approximates the intervals [[3_2|3/2]], [[5_4|5/4]], [[11_8|11/8]] and [[19_16|19/16]] well, so that it does a good job representing the 2.3.5.11.19 [[just intonation subgroup]]. To this one may want to add 13/8 and 17/16, giving the [[19-limit]] no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit [[k*N subgroups|2*65 subgroup]] 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as [[130edo]].

=Intervals= 
|| Degrees of 65-EDO || Cents value ||
|| 0 || 0 ||
|| 1 || 18,4615 ||
|| 2 || 36,9231 ||
|| 3 || 55,3846 ||
|| 4 || 73,8462 ||
|| 5 || 92,3077 ||
|| 6 || 110,7692 ||
|| 7 || 129,2308 ||
|| 8 || 147,6923 ||
|| 9 || 166,1538 ||
|| 10 || 184,6154 ||
|| 11 || 203,0769 ||
|| 12 || 221,5385 ||
|| 13 || 240 ||
|| 14 || 258,4615 ||
|| 15 || 276,9231 ||
|| 16 || 295,3846 ||
|| 17 || 313,8462 ||
|| 18 || 332,3077 ||
|| 19 || 350,7692 ||
|| 20 || 369,2308 ||
|| 21 || 387,6923 ||
|| 22 || 406,1538 ||
|| 23 || 424,6154 ||
|| 24 || 443,0769 ||
|| 25 || 461,5385 ||
|| 26 || 480 ||
|| 27 || 498,4615 ||
|| 28 || 516,9231 ||
|| 29 || 535,3846 ||
|| 30 || 553,8462 ||
|| 31 || 572,3077 ||
|| 32 || 590,7692 ||
|| 33 || 609,2308 ||
|| 34 || 627,6923 ||
|| 35 || 646,1538 ||
|| 36 || 664,6154 ||
|| 37 || 683,0769 ||
|| 38 || 701,5385 ||
|| 39 || 720 ||
|| 40 || 738,4615 ||
|| 41 || 756,9231 ||
|| 42 || 775,3846 ||
|| 43 || 793,8462 ||
|| 44 || 812,3077 ||
|| 45 || 830,7692 ||
|| 46 || 849,2308 ||
|| 47 || 867,6923 ||
|| 48 || 886,1538 ||
|| 49 || 904,6154 ||
|| 50 || 923,0769 ||
|| 51 || 941,5385 ||
|| 52 || 960 ||
|| 53 || 978,4615 ||
|| 54 || 996,9231 ||
|| 55 || 1015,3846 ||
|| 56 || 1033,8462 ||
|| 57 || 1052,3077 ||
|| 58 || 1070,7692 ||
|| 59 || 1089,2308 ||
|| 60 || 1107,6923 ||
|| 61 || 1126,1538 ||
|| 62 || 1144,6154 ||
|| 63 || 1163,0769 ||
|| 64 || 1181,5385 ||

=Scales= 
[[photia7]]
[[photia12]]

Original HTML content:

<html><head><title>65edo</title></head><body><!-- ws:start:WikiTextTocRule:6:&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:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#x65 tone equal temperament">65 tone equal temperament</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Scales">Scales</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><hr />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x65 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="color: #750063;">65 tone equal temperament</span></h1>
 <br />
<em>65edo</em> divides the <a class="wiki_link" href="/octave">octave</a> into 65 equal parts of 18.462 cents each. It can be characterized as the temperament which tempers out the <a class="wiki_link" href="/schisma">schisma</a>, 32805/32768, the <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a>, 78732/78125, and the <a class="wiki_link" href="/wuerschmidt%20comma">wuerschmidt comma</a>, 393216/390625. In the <a class="wiki_link" href="/7-limit">7-limit</a>, there are two different maps; the first is &lt;65 103 151 182|, tempering out 126/125, 245/243 and 686/675, so that 65edo supports sensi temperament, and the second is &lt;65 103 151 183|, tempering out 225/224, 3125/3097, 4000/3969 and 5120/5103, so that 65edo supports garibaldi temperament. In both cases, the tuning privileges the <a class="wiki_link" href="/5-limit">5-limit</a> over the 7-limit, as the 5-limit of 65 is quite accurate. The same can be said for the two different versions of 7-limit <a class="wiki_link" href="/wuerschmidt%20temperament">wuerschmidt temperament</a> (wurschmidt and worschmidt) these two mappings provide.<br />
<br />
65edo approximates the intervals <a class="wiki_link" href="/3_2">3/2</a>, <a class="wiki_link" href="/5_4">5/4</a>, <a class="wiki_link" href="/11_8">11/8</a> and <a class="wiki_link" href="/19_16">19/16</a> well, so that it does a good job representing the 2.3.5.11.19 <a class="wiki_link" href="/just%20intonation%20subgroup">just intonation subgroup</a>. To this one may want to add 13/8 and 17/16, giving the <a class="wiki_link" href="/19-limit">19-limit</a> no-sevens subgroup 2.3.5.11.13.17.19. Also of interest is the 19-limit <a class="wiki_link" href="/k%2AN%20subgroups">2*65 subgroup</a> 2.3.5.49.11.91.119.19, on which 65 has the same tuning and commas as <a class="wiki_link" href="/130edo">130edo</a>.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1>
 

<table class="wiki_table">
    <tr>
        <td>Degrees of 65-EDO<br />
</td>
        <td>Cents value<br />
</td>
    </tr>
    <tr>
        <td>0<br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>18,4615<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>36,9231<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>55,3846<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>73,8462<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>92,3077<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>110,7692<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>129,2308<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>147,6923<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>166,1538<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>184,6154<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>203,0769<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>221,5385<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>240<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>258,4615<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>276,9231<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>295,3846<br />
</td>
    </tr>
    <tr>
        <td>17<br />
</td>
        <td>313,8462<br />
</td>
    </tr>
    <tr>
        <td>18<br />
</td>
        <td>332,3077<br />
</td>
    </tr>
    <tr>
        <td>19<br />
</td>
        <td>350,7692<br />
</td>
    </tr>
    <tr>
        <td>20<br />
</td>
        <td>369,2308<br />
</td>
    </tr>
    <tr>
        <td>21<br />
</td>
        <td>387,6923<br />
</td>
    </tr>
    <tr>
        <td>22<br />
</td>
        <td>406,1538<br />
</td>
    </tr>
    <tr>
        <td>23<br />
</td>
        <td>424,6154<br />
</td>
    </tr>
    <tr>
        <td>24<br />
</td>
        <td>443,0769<br />
</td>
    </tr>
    <tr>
        <td>25<br />
</td>
        <td>461,5385<br />
</td>
    </tr>
    <tr>
        <td>26<br />
</td>
        <td>480<br />
</td>
    </tr>
    <tr>
        <td>27<br />
</td>
        <td>498,4615<br />
</td>
    </tr>
    <tr>
        <td>28<br />
</td>
        <td>516,9231<br />
</td>
    </tr>
    <tr>
        <td>29<br />
</td>
        <td>535,3846<br />
</td>
    </tr>
    <tr>
        <td>30<br />
</td>
        <td>553,8462<br />
</td>
    </tr>
    <tr>
        <td>31<br />
</td>
        <td>572,3077<br />
</td>
    </tr>
    <tr>
        <td>32<br />
</td>
        <td>590,7692<br />
</td>
    </tr>
    <tr>
        <td>33<br />
</td>
        <td>609,2308<br />
</td>
    </tr>
    <tr>
        <td>34<br />
</td>
        <td>627,6923<br />
</td>
    </tr>
    <tr>
        <td>35<br />
</td>
        <td>646,1538<br />
</td>
    </tr>
    <tr>
        <td>36<br />
</td>
        <td>664,6154<br />
</td>
    </tr>
    <tr>
        <td>37<br />
</td>
        <td>683,0769<br />
</td>
    </tr>
    <tr>
        <td>38<br />
</td>
        <td>701,5385<br />
</td>
    </tr>
    <tr>
        <td>39<br />
</td>
        <td>720<br />
</td>
    </tr>
    <tr>
        <td>40<br />
</td>
        <td>738,4615<br />
</td>
    </tr>
    <tr>
        <td>41<br />
</td>
        <td>756,9231<br />
</td>
    </tr>
    <tr>
        <td>42<br />
</td>
        <td>775,3846<br />
</td>
    </tr>
    <tr>
        <td>43<br />
</td>
        <td>793,8462<br />
</td>
    </tr>
    <tr>
        <td>44<br />
</td>
        <td>812,3077<br />
</td>
    </tr>
    <tr>
        <td>45<br />
</td>
        <td>830,7692<br />
</td>
    </tr>
    <tr>
        <td>46<br />
</td>
        <td>849,2308<br />
</td>
    </tr>
    <tr>
        <td>47<br />
</td>
        <td>867,6923<br />
</td>
    </tr>
    <tr>
        <td>48<br />
</td>
        <td>886,1538<br />
</td>
    </tr>
    <tr>
        <td>49<br />
</td>
        <td>904,6154<br />
</td>
    </tr>
    <tr>
        <td>50<br />
</td>
        <td>923,0769<br />
</td>
    </tr>
    <tr>
        <td>51<br />
</td>
        <td>941,5385<br />
</td>
    </tr>
    <tr>
        <td>52<br />
</td>
        <td>960<br />
</td>
    </tr>
    <tr>
        <td>53<br />
</td>
        <td>978,4615<br />
</td>
    </tr>
    <tr>
        <td>54<br />
</td>
        <td>996,9231<br />
</td>
    </tr>
    <tr>
        <td>55<br />
</td>
        <td>1015,3846<br />
</td>
    </tr>
    <tr>
        <td>56<br />
</td>
        <td>1033,8462<br />
</td>
    </tr>
    <tr>
        <td>57<br />
</td>
        <td>1052,3077<br />
</td>
    </tr>
    <tr>
        <td>58<br />
</td>
        <td>1070,7692<br />
</td>
    </tr>
    <tr>
        <td>59<br />
</td>
        <td>1089,2308<br />
</td>
    </tr>
    <tr>
        <td>60<br />
</td>
        <td>1107,6923<br />
</td>
    </tr>
    <tr>
        <td>61<br />
</td>
        <td>1126,1538<br />
</td>
    </tr>
    <tr>
        <td>62<br />
</td>
        <td>1144,6154<br />
</td>
    </tr>
    <tr>
        <td>63<br />
</td>
        <td>1163,0769<br />
</td>
    </tr>
    <tr>
        <td>64<br />
</td>
        <td>1181,5385<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:4 -->Scales</h1>
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