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Wikispaces>JosephRuhf **Imported revision 596189816 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 615834357 - Original comment: added link (deorphaning)** |
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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:spt3125|spt3125]] and made on <tt>2017-07-22 22:43:08 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>615834357</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt>added link (deorphaning)</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> | ||
| Line 26: | Line 26: | ||
|| 11 || 1609.3 || A8/m9 || 63/25 || || Sirius || | || 11 || 1609.3 || A8/m9 || 63/25 || || Sirius || | ||
|| 12 || 1755.7 || M9/d10 || 25/9~135/49 || || || | || 12 || 1755.7 || M9/d10 || 25/9~135/49 || || || | ||
|| 13 || 1902.0 || A9/P10 || 3/1 || Tritave || ||</pre></div> | || 13 || 1902.0 || A9/P10 || 3/1 || Tritave || || | ||
==See also== | |||
* [[Catalog of 3.5.7 subgroup rank two temperaments]]</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>13edt</title></head><body>The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 <a class="wiki_link" href="/26edt">26edt</a>, <a class="wiki_link" href="/39edt">39edt</a> and <a class="wiki_link" href="/52edt">52edt</a> come to the fore.<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>13edt</title></head><body>The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 <a class="wiki_link" href="/26edt">26edt</a>, <a class="wiki_link" href="/39edt">39edt</a> and <a class="wiki_link" href="/52edt">52edt</a> come to the fore.<br /> | ||
| Line 32: | Line 35: | ||
Below is a plot of the <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes">no-twos Z-function</a>, in terms of which 13edt is the fourth no-twos zeta peak edt.<br /> | Below is a plot of the <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes">no-twos Z-function</a>, in terms of which 13edt is the fourth no-twos zeta peak edt.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:206:&lt;img src=&quot;/file/view/13edt.png/250612880/13edt.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/13edt.png/250612880/13edt.png" alt="13edt.png" title="13edt.png" /><!-- ws:end:WikiTextLocalImageRule:206 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2> | ||
| Line 236: | Line 239: | ||
</table> | </table> | ||
</body></html></pre></div> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h2> | |||
<ul><li><a class="wiki_link" href="/Catalog%20of%203.5.7%20subgroup%20rank%20two%20temperaments">Catalog of 3.5.7 subgroup rank two temperaments</a></li></ul></body></html></pre></div> | |||
Revision as of 22:43, 22 July 2017
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author spt3125 and made on 2017-07-22 22:43:08 UTC.
- The original revision id was 615834357.
- The revision comment was: added link (deorphaning)
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the [[Bohlen-Pierce]] scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as [[Sensamagic clan#Bohpier|bohpier temperament]]. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 [[26edt]], [[39edt]] and [[52edt]] come to the fore. Below is a plot of the [[The Riemann Zeta Function and Tuning#Removing%20primes|no-twos Z-function]], in terms of which 13edt is the fourth no-twos zeta peak edt. [[image:13edt.png]] ==Intervals== ||~ Steps ||~ Cents ||~ BP nonatonic degree ||~ Corresponding JI intervals ||~ Comments ||~ Generator for... || || 1 || 146.3 || A1/m2 || 27/25~49/45 || || || || 2 || 292.6 || M2/d3 || 25/21 || || [[Sirius]] || || 3 || 438.9 || A2/P3/d4 || 9/7 || || [[Bohlen-Pierce|Linear BP]] || || 4 || 585.2 || A3/m4/d5 || 7/5 || || [[Canopus]] || || 5 || 731.5 || M4/m5 || 75/49 || False 3/2 || false Father || || 6 || 877.8 || A4/M5 || 5/3 || || [[Arcturus]] || || 7 || 1024.1 || A5/m6/d7 || 9/5 || || Arcturus || || 8 || 1170.4 || M6/m7 || 49/25 || False 2/1 || false Father || || 9 || 1316.7 || A6/M7/d8 || 15/7 || || Canopus || || 10 || 1463.0 || P8/d9 || 7/3 || || Linear BP || || 11 || 1609.3 || A8/m9 || 63/25 || || Sirius || || 12 || 1755.7 || M9/d10 || 25/9~135/49 || || || || 13 || 1902.0 || A9/P10 || 3/1 || Tritave || || ==See also== * [[Catalog of 3.5.7 subgroup rank two temperaments]]
Original HTML content:
<html><head><title>13edt</title></head><body>The 13 equal division of 3, the tritave, divides it into 13 equal parts of 146.304 cents each, corresponding to 8.202 edo. An alternative name for it is the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> scale. In the 7-limit, it tempers out 245/243 and 3125/3087, the same commas as <a class="wiki_link" href="/Sensamagic%20clan#Bohpier">bohpier temperament</a>. It is less impressive in higher p-limits, but makes for excellent no-twos 7-limit harmony. For higher limits, the multiples of 13 <a class="wiki_link" href="/26edt">26edt</a>, <a class="wiki_link" href="/39edt">39edt</a> and <a class="wiki_link" href="/52edt">52edt</a> come to the fore.<br />
<br />
Below is a plot of the <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Removing%20primes">no-twos Z-function</a>, in terms of which 13edt is the fourth no-twos zeta peak edt.<br />
<br />
<!-- ws:start:WikiTextLocalImageRule:206:<img src="/file/view/13edt.png/250612880/13edt.png" alt="" title="" /> --><img src="/file/view/13edt.png/250612880/13edt.png" alt="13edt.png" title="13edt.png" /><!-- ws:end:WikiTextLocalImageRule:206 --><br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2>
<table class="wiki_table">
<tr>
<th>Steps<br />
</th>
<th>Cents<br />
</th>
<th>BP nonatonic degree<br />
</th>
<th>Corresponding JI intervals<br />
</th>
<th>Comments<br />
</th>
<th>Generator for...<br />
</th>
</tr>
<tr>
<td>1<br />
</td>
<td>146.3<br />
</td>
<td>A1/m2<br />
</td>
<td>27/25~49/45<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>2<br />
</td>
<td>292.6<br />
</td>
<td>M2/d3<br />
</td>
<td>25/21<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Sirius">Sirius</a><br />
</td>
</tr>
<tr>
<td>3<br />
</td>
<td>438.9<br />
</td>
<td>A2/P3/d4<br />
</td>
<td>9/7<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Bohlen-Pierce">Linear BP</a><br />
</td>
</tr>
<tr>
<td>4<br />
</td>
<td>585.2<br />
</td>
<td>A3/m4/d5<br />
</td>
<td>7/5<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Canopus">Canopus</a><br />
</td>
</tr>
<tr>
<td>5<br />
</td>
<td>731.5<br />
</td>
<td>M4/m5<br />
</td>
<td>75/49<br />
</td>
<td>False 3/2<br />
</td>
<td>false Father<br />
</td>
</tr>
<tr>
<td>6<br />
</td>
<td>877.8<br />
</td>
<td>A4/M5<br />
</td>
<td>5/3<br />
</td>
<td><br />
</td>
<td><a class="wiki_link" href="/Arcturus">Arcturus</a><br />
</td>
</tr>
<tr>
<td>7<br />
</td>
<td>1024.1<br />
</td>
<td>A5/m6/d7<br />
</td>
<td>9/5<br />
</td>
<td><br />
</td>
<td>Arcturus<br />
</td>
</tr>
<tr>
<td>8<br />
</td>
<td>1170.4<br />
</td>
<td>M6/m7<br />
</td>
<td>49/25<br />
</td>
<td>False 2/1<br />
</td>
<td>false Father<br />
</td>
</tr>
<tr>
<td>9<br />
</td>
<td>1316.7<br />
</td>
<td>A6/M7/d8<br />
</td>
<td>15/7<br />
</td>
<td><br />
</td>
<td>Canopus<br />
</td>
</tr>
<tr>
<td>10<br />
</td>
<td>1463.0<br />
</td>
<td>P8/d9<br />
</td>
<td>7/3<br />
</td>
<td><br />
</td>
<td>Linear BP<br />
</td>
</tr>
<tr>
<td>11<br />
</td>
<td>1609.3<br />
</td>
<td>A8/m9<br />
</td>
<td>63/25<br />
</td>
<td><br />
</td>
<td>Sirius<br />
</td>
</tr>
<tr>
<td>12<br />
</td>
<td>1755.7<br />
</td>
<td>M9/d10<br />
</td>
<td>25/9~135/49<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>13<br />
</td>
<td>1902.0<br />
</td>
<td>A9/P10<br />
</td>
<td>3/1<br />
</td>
<td>Tritave<br />
</td>
<td><br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h2> --><h2 id="toc1"><a name="x-See also"></a><!-- ws:end:WikiTextHeadingRule:2 -->See also</h2>
<ul><li><a class="wiki_link" href="/Catalog%20of%203.5.7%20subgroup%20rank%20two%20temperaments">Catalog of 3.5.7 subgroup rank two temperaments</a></li></ul></body></html>