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6edt: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox ET}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{ED intro}}
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-20 10:20:04 UTC</tt>.<br>
: The original revision id was <tt>592856804</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>
<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">=6 Equal Divisions of the Tritave=


|| Degrees || Cents || ApproximateRatios ||
== Theory ==
|| 0 || 0 || 1/1 ||
Since 6edt contains one interval of [[2edt]] and two intervals of [[3edt]], it introduces 2 new notes unseen in previous edts. These new notes happen to approximate [[6/5]] and [[5/2]] very well, the former being only 1.351 [[cents]] sharp.
|| 1 || 316.993 || [[6_5|6/5]], 65/54 ||
6edt is therefore the smallest edt other than [[5edt]] to accurately approximate [[5-limit]] harmony, as well as some elements from the [[13-limit]] inherited from [[3edt]]. 6edt allows for construction of chords such as 2:5:6:15:18:26:31:45:54...
|| 2 || 633.985 || [[13_9|13/9]] ||
|| 3 || 950.978 || 19/11, 26/15 ||
|| 4 || 1267.970 || 27/13 ||
|| 5 || 1584.963 || 5/2 ([[5_4|5/4]] plus an octave) ||
|| 6 || 1901.955 || 3/1 ||


Since 6edt contains 1 intervals of [[2edt]] and 2 intervals of [[3edt]], it only introduces 2 new notes. These new notes happen to approximate 6/5 and 5/2 quite well.
=== Harmonics ===
6edt is therefore smallest edt other than [[5edt]] to accurately approximate 5-limit harmony. 6edt allows for construction of chords chords such as 2:5:6:15:18:26:31:45:54...
{{Harmonics in equal|6|3|1|columns=16}}


== Intervals ==
{{Interval table}}


==6n-edt Family:==
[[Category:Nonoctave]]
[[12edt]]
[[category:Macrotonal]]
[[18edt]]
[[24edt]]
[[30edt]]</pre></div>
<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;6edt&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="x6 Equal Divisions of the Tritave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;6 Equal Divisions of the Tritave&lt;/h1&gt;
&lt;br /&gt;


 
[[Category:todo:add sound example]]
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Degrees&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Cents&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ApproximateRatios&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;316.993&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;, 65/54&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;633.985&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/13_9"&gt;13/9&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;950.978&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19/11, 26/15&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1267.970&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27/13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1584.963&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/2 (&lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; plus an octave)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1901.955&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
Since 6edt contains 1 intervals of &lt;a class="wiki_link" href="/2edt"&gt;2edt&lt;/a&gt; and 2 intervals of &lt;a class="wiki_link" href="/3edt"&gt;3edt&lt;/a&gt;, it only introduces 2 new notes. These new notes happen to approximate 6/5 and 5/2 quite well.&lt;br /&gt;
6edt is therefore smallest edt other than &lt;a class="wiki_link" href="/5edt"&gt;5edt&lt;/a&gt; to accurately approximate 5-limit harmony. 6edt allows for construction of chords chords such as 2:5:6:15:18:26:31:45:54...&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="x6 Equal Divisions of the Tritave-6n-edt Family:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;6n-edt Family:&lt;/h2&gt;
&lt;a class="wiki_link" href="/12edt"&gt;12edt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/18edt"&gt;18edt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/24edt"&gt;24edt&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/30edt"&gt;30edt&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/6edt"