16edt: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>JosephRuhf **Imported revision 591718118 - Original comment: ** |
Wikispaces>xenwolf **Imported revision 602892288 - 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: | : This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2016-12-29 10:06:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602892288</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">=Properties= | <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">=Properties= | ||
As the double of [[8edt]], this division of the tritave is harmonically fraternal to 10edo. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent 13:21 and a decent 7:13. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament. | As the double of [[8edt]], this division of the tritave is harmonically fraternal to [[10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21_13|13:21]] and a decent [[13_7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament. | ||
=Intervals= | =Intervals= | ||
|| 1 || 118. | ||~ Degree ||~ Size in [[cent|Cents]] || | ||
|| 2 || 237.74438 || | ||= 1 ||> 118.87219 || | ||
|| 3 || 356.61656 || | ||= 2 ||> 237.74438 || | ||
|| 4 || 475.48875 || | ||= 3 ||> 356.61656 || | ||
|| 5 || 594.36094 || | ||= 4 ||> 475.48875 || | ||
|| 6 || 713.23312 || | ||= 5 ||> 594.36094 || | ||
|| 7 || 832.10531 || | ||= 6 ||> 713.23312 || | ||
|| 8 || | ||= 7 ||> 832.10531 || | ||
|| 9 || 1069.84969 || | ||= 8 ||> 950.97750 || | ||
|| 10 || 1188.72188 || | ||= 9 ||> 1069.84969 || | ||
|| 11 || 1307.59406 || | ||= 10 ||> 1188.72188 || | ||
|| 12 || 1426.46625 || | ||= 11 ||> 1307.59406 || | ||
|| 13 || 1545.33844 || | ||= 12 ||> 1426.46625 || | ||
|| 14 || 1664.21063 || | ||= 13 ||> 1545.33844 || | ||
|| 15 || 1783.08281 || | ||= 14 ||> 1664.21063 || | ||
|| 16 || 1901. | ||= 15 ||> 1783.08281 || | ||
||= 16 ||> 1901.95500 || | |||
=Music= | =Music= | ||
| Line 30: | Line 32: | ||
<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>16edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | <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>16edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1> | ||
As the double of <a class="wiki_link" href="/8edt">8edt</a>, this division of the tritave is harmonically fraternal to 10edo. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent 13:21 and a decent 7:13. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.<br /> | As the double of <a class="wiki_link" href="/8edt">8edt</a>, this division of the tritave is harmonically fraternal to <a class="wiki_link" href="/10edo">10edo</a>. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent <a class="wiki_link" href="/21_13">13:21</a> and a decent <a class="wiki_link" href="/13_7">7:13</a>. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.<br /> | ||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1> | ||
| Line 36: | Line 39: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
<td>1<br /> | <th>Degree<br /> | ||
</th> | |||
<th>Size in <a class="wiki_link" href="/cent">Cents</a><br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">1<br /> | |||
</td> | </td> | ||
<td>118. | <td style="text-align: right;">118.87219<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>2<br /> | <td style="text-align: center;">2<br /> | ||
</td> | </td> | ||
<td>237.74438<br /> | <td style="text-align: right;">237.74438<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>3<br /> | <td style="text-align: center;">3<br /> | ||
</td> | </td> | ||
<td>356.61656<br /> | <td style="text-align: right;">356.61656<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4<br /> | <td style="text-align: center;">4<br /> | ||
</td> | </td> | ||
<td>475.48875<br /> | <td style="text-align: right;">475.48875<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>5<br /> | <td style="text-align: center;">5<br /> | ||
</td> | </td> | ||
<td>594.36094<br /> | <td style="text-align: right;">594.36094<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>6<br /> | <td style="text-align: center;">6<br /> | ||
</td> | </td> | ||
<td>713.23312<br /> | <td style="text-align: right;">713.23312<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>7<br /> | <td style="text-align: center;">7<br /> | ||
</td> | </td> | ||
<td>832.10531<br /> | <td style="text-align: right;">832.10531<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>8<br /> | <td style="text-align: center;">8<br /> | ||
</td> | </td> | ||
<td | <td style="text-align: right;">950.97750<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>9<br /> | <td style="text-align: center;">9<br /> | ||
</td> | </td> | ||
<td>1069.84969<br /> | <td style="text-align: right;">1069.84969<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>10<br /> | <td style="text-align: center;">10<br /> | ||
</td> | </td> | ||
<td>1188.72188<br /> | <td style="text-align: right;">1188.72188<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>11<br /> | <td style="text-align: center;">11<br /> | ||
</td> | </td> | ||
<td>1307.59406<br /> | <td style="text-align: right;">1307.59406<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>12<br /> | <td style="text-align: center;">12<br /> | ||
</td> | </td> | ||
<td>1426.46625<br /> | <td style="text-align: right;">1426.46625<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>13<br /> | <td style="text-align: center;">13<br /> | ||
</td> | </td> | ||
<td>1545.33844<br /> | <td style="text-align: right;">1545.33844<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>14<br /> | <td style="text-align: center;">14<br /> | ||
</td> | </td> | ||
<td>1664.21063<br /> | <td style="text-align: right;">1664.21063<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>15<br /> | <td style="text-align: center;">15<br /> | ||
</td> | </td> | ||
<td>1783.08281<br /> | <td style="text-align: right;">1783.08281<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>16<br /> | <td style="text-align: center;">16<br /> | ||
</td> | </td> | ||
<td>1901. | <td style="text-align: right;">1901.95500<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Revision as of 10:06, 29 December 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2016-12-29 10:06:04 UTC.
- The original revision id was 602892288.
- 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:
=Properties= As the double of [[8edt]], this division of the tritave is harmonically fraternal to [[10edo]]. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent [[21_13|13:21]] and a decent [[13_7|7:13]]. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament. =Intervals= ||~ Degree ||~ Size in [[cent|Cents]] || ||= 1 ||> 118.87219 || ||= 2 ||> 237.74438 || ||= 3 ||> 356.61656 || ||= 4 ||> 475.48875 || ||= 5 ||> 594.36094 || ||= 6 ||> 713.23312 || ||= 7 ||> 832.10531 || ||= 8 ||> 950.97750 || ||= 9 ||> 1069.84969 || ||= 10 ||> 1188.72188 || ||= 11 ||> 1307.59406 || ||= 12 ||> 1426.46625 || ||= 13 ||> 1545.33844 || ||= 14 ||> 1664.21063 || ||= 15 ||> 1783.08281 || ||= 16 ||> 1901.95500 || =Music= [[@http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/16-edt.mp3|A Short Tune in 16EDT]] by [[@Peter 'Rush' Kosmorsky]]
Original HTML content:
<html><head><title>16edt</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="Properties"></a><!-- ws:end:WikiTextHeadingRule:0 -->Properties</h1>
As the double of <a class="wiki_link" href="/8edt">8edt</a>, this division of the tritave is harmonically fraternal to <a class="wiki_link" href="/10edo">10edo</a>. Its unit step is ~1.128 cents flat of 1\10edo. Unlike 10edo, it does not really have a 7 or 13 because it is not using its approximation of 2 as equivalent though the accumulated flatness of a stack of its unit step leads to an excellent <a class="wiki_link" href="/21_13">13:21</a> and a decent <a class="wiki_link" href="/13_7">7:13</a>. When twos are admitted, it turns into a tritave-repeating version of Blackwood temperament.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Intervals</h1>
<table class="wiki_table">
<tr>
<th>Degree<br />
</th>
<th>Size in <a class="wiki_link" href="/cent">Cents</a><br />
</th>
</tr>
<tr>
<td style="text-align: center;">1<br />
</td>
<td style="text-align: right;">118.87219<br />
</td>
</tr>
<tr>
<td style="text-align: center;">2<br />
</td>
<td style="text-align: right;">237.74438<br />
</td>
</tr>
<tr>
<td style="text-align: center;">3<br />
</td>
<td style="text-align: right;">356.61656<br />
</td>
</tr>
<tr>
<td style="text-align: center;">4<br />
</td>
<td style="text-align: right;">475.48875<br />
</td>
</tr>
<tr>
<td style="text-align: center;">5<br />
</td>
<td style="text-align: right;">594.36094<br />
</td>
</tr>
<tr>
<td style="text-align: center;">6<br />
</td>
<td style="text-align: right;">713.23312<br />
</td>
</tr>
<tr>
<td style="text-align: center;">7<br />
</td>
<td style="text-align: right;">832.10531<br />
</td>
</tr>
<tr>
<td style="text-align: center;">8<br />
</td>
<td style="text-align: right;">950.97750<br />
</td>
</tr>
<tr>
<td style="text-align: center;">9<br />
</td>
<td style="text-align: right;">1069.84969<br />
</td>
</tr>
<tr>
<td style="text-align: center;">10<br />
</td>
<td style="text-align: right;">1188.72188<br />
</td>
</tr>
<tr>
<td style="text-align: center;">11<br />
</td>
<td style="text-align: right;">1307.59406<br />
</td>
</tr>
<tr>
<td style="text-align: center;">12<br />
</td>
<td style="text-align: right;">1426.46625<br />
</td>
</tr>
<tr>
<td style="text-align: center;">13<br />
</td>
<td style="text-align: right;">1545.33844<br />
</td>
</tr>
<tr>
<td style="text-align: center;">14<br />
</td>
<td style="text-align: right;">1664.21063<br />
</td>
</tr>
<tr>
<td style="text-align: center;">15<br />
</td>
<td style="text-align: right;">1783.08281<br />
</td>
</tr>
<tr>
<td style="text-align: center;">16<br />
</td>
<td style="text-align: right;">1901.95500<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:4 -->Music</h1>
<a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2011/11/16-edt.mp3" rel="nofollow" target="_blank">A Short Tune in 16EDT</a> by <a class="wiki_link" href="/Peter%20%27Rush%27%20Kosmorsky" target="_blank">Peter 'Rush' Kosmorsky</a></body></html>