7edt: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:~~Sarzadoce~~|~~Sarzadoce~~]] and made on <tt>2011-08-16 14:09:58 UTC</tt>.<br>

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-06 16:42:37 UTC</tt>.<br>

: The original revision id was <tt>~~246275559~~</tt>.<br>

: The original revision id was <tt>251313288</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">=7 ~~Equal Divisions~~ of the ~~Tritave~~=

<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]]

=Properties=

The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit [[Orwell|orwell temperament]] and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the [[53edo]] orwell generator which is 271.698 cents.

=Scale degrees of 7edt=

|| Degrees || Cents || Approximate Ratio ||

|| 0 || 0 || [[1_1|1/1]] ||

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|| 7 || 1901.955 || 3/1 ||

7edt is the lowest equal division of the tritave to accurately approximate 7-limit harmony~~. One step of 7edt is a subminor third~~. Seven ~~of these~~ make up a tritave, meaning that 7edt tempers out 839808/823543, the ~~Orwell~~ comma.

Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma.

=7n-edt Family:=

==7n-edt Family:==

[[14edt]]

[[21edt]]

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...</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"><html><head><title>7edt</title></head><body><h1 id="toc0"><a name="~~x7 Equal Divisions of the Tritave~~"></a>7 ~~Equal Divisions~~ of the ~~Tritave~~</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>7edt</title></head><body><a href="#Properties">Properties</a> | <a href="#Scale degrees of 7edt">Scale degrees of 7edt</a> | <a href="#x7n-edt Family:">7n-edt Family:</a>

<br />

<h1 id="toc0"><a name="Properties"></a>Properties</h1>

The 7 equal division of 3, the tritave, divides it into 7 equal parts of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit <a class="wiki_link" href="/Orwell">orwell temperament</a> and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the <a class="wiki_link" href="/53edo">53edo</a> orwell generator which is 271.698 cents.<br />

<br />

<h1 id="toc1"><a name="Scale degrees of 7edt"></a>Scale degrees of 7edt</h1>

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<br />

7edt is the lowest equal division of the tritave to accurately approximate 7-limit harmony~~. One step of 7edt is a subminor third~~. Seven ~~of these~~ make up a tritave, meaning that 7edt tempers out 839808/823543, the ~~Orwell~~ comma.~~<br />~~

Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma.<br />

~~<br />~~

<br />

<h2 id="~~toc1~~"><a name="~~x7 Equal Divisions of the Tritave-7n~~-edt Family:"></a>7n-edt Family:</h2>

<h1 id="toc2"><a name="x7n-edt Family:"></a>7n-edt Family:</h1>

...</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:Sarzadoce|Sarzadoce]] and made on <tt>2011-08-16 14:09:58 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-09-06 16:42:37 UTC</tt>.<br>
-: The original revision id was <tt>246275559</tt>.<br>
+: The original revision id was <tt>251313288</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">=7 Equal Divisions of the Tritave=
+<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]]
+=Properties=
+The 7 equal division of 3, the tritave, divides it into 7 equal parts  of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit [[Orwell|orwell temperament]] and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the [[53edo]] orwell generator which is 271.698 cents.
+=Scale degrees of 7edt=
 || Degrees || Cents || Approximate Ratio ||
 || 0 || 0 || [[1_1|1/1]] ||
@@ Line 17: / Line 22: @@
 || 7 || 1901.955 || 3/1 ||
-edt is the lowest equal division of the tritave to accurately approximate 7-limit harmony. One step of 7edt is a subminor third. Seven of these make up a tritave, meaning that 7edt tempers out 839808/823543, the Orwell comma.
+Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma.
+=7n-edt Family:=
-==7n-edt Family:==
 [[14edt]]
 [[21edt]]
@@ Line 28: / Line 30: @@
 ...</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;7edt&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="x7 Equal Divisions of the Tritave"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;7 Equal Divisions of the Tritave&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;7edt&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="#Properties"&gt;Properties&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:7 --&gt;&lt;!-- ws:start:WikiTextTocRule:8: --&gt; | &lt;a href="#Scale degrees of 7edt"&gt;Scale degrees of 7edt&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:8 --&gt;&lt;!-- ws:start:WikiTextTocRule:9: --&gt; | &lt;a href="#x7n-edt Family:"&gt;7n-edt Family:&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:9 --&gt;&lt;!-- ws:start:WikiTextTocRule:10: --&gt;
+&lt;!-- ws:end:WikiTextTocRule:10 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Properties"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Properties&lt;/h1&gt;
+The 7 equal division of 3, the tritave, divides it into 7 equal parts  of 271.708 cents each, corresponding to 4.4165 edo. The step size is very close to the 271.509 cents of 7-limit &lt;a class="wiki_link" href="/Orwell"&gt;orwell temperament&lt;/a&gt; and also close to the 271.426 cents of 11-limit orwell. It is almost identical to 12\53, the &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt; orwell generator which is 271.698 cents.&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Scale degrees of 7edt"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Scale degrees of 7edt&lt;/h1&gt;
@@ Line 107: / Line 114: @@
 &lt;br /&gt;
-edt is the lowest equal division of the tritave to accurately approximate 7-limit harmony. One step of 7edt is a subminor third. Seven of these make up a tritave, meaning that 7edt tempers out 839808/823543, the Orwell comma.&lt;br /&gt;
+Since one step of 7edt is a sharp subminor (7/6) third, three steps are almost exactlty 8/5, four steps are very nearly 15/8 and six steps are a bit flat of 18/7, 7edt is the lowest equal division of the tritave to accurately approximate some 7-limit harmony. Seven steps make up a tritave, meaning that 7edt tempers out 839808/823543, the blair comma.&lt;br /&gt;
-&lt;br /&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="x7 Equal Divisions of the Tritave-7n-edt Family:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;7n-edt Family:&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="x7n-edt Family:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7n-edt Family:&lt;/h1&gt;
- &lt;a class="wiki_link" href="/14edt"&gt;14edt&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="/14edt"&gt;14edt&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="/21edt"&gt;21edt&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="/28edt"&gt;28edt&lt;/a&gt;&lt;br /&gt;
 ...&lt;/body&gt;&lt;/html&gt;</pre></div>