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4edf: Difference between revisions

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**Imported revision 349685728 - Original comment: **
Move the only nontrivial sentence to the theory section
 
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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}} It corresponds to 6.8380[[edo]].  
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2012-07-02 09:02:14 UTC</tt>.<br>
: The original revision id was <tt>349685728</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">=Equal division of the perfect fifth (3/2) into 4 equal parts=


**4edf** divides the [[Perfect fifth]] into 4 [[equal]] intervals, each 175.489 [[cent]]s in size.
== Theory ==
This division is said to be used in traditional scales of Georgia. See the [[http://launch.groups.yahoo.com/group/tuning/message/100326|discussion on the Yahoo tuning list]].
4edf is related to the [[tetracot]] temperament, which [[tempering out|tempers out]] [[20000/19683]] in the 5-limit.


==Intervals==  
=== Harmonics ===
||~ degree ||~ cents value ||
{{Harmonics in equal|4|3|2}}
|| 0 || 0 ||
|| 1 || 178.489 ||
|| 2 || 350.978 ||
|| 3 || 526.466 ||
|| 4 || 701.955 ||
|| 5 || 877.444 ||
|| 6 || 1052.933 ||
||~ second octave ||~  ||
|| 7 || 1228.421 ||


== Intervals ==


==Compositions==
{| class="wikitable center-1 right-2 center-3"
[[http://www.seraph.it/dep/det/repetitions1.mp3|Repetitions 1]] [[http://www.youtube.com/watch?v=XEklMo0tIW0|Repetitions 1 video]] by [[Carlo Serafini]]</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;4edf&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="Equal division of the perfect fifth (3/2) into 4 equal parts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Equal division of the perfect fifth (3/2) into 4 equal parts&lt;/h1&gt;
! Cents
&lt;br /&gt;
! Tetratonic<br>Notation
&lt;strong&gt;4edf&lt;/strong&gt; divides the &lt;a class="wiki_link" href="/Perfect%20fifth"&gt;Perfect fifth&lt;/a&gt; into 4 &lt;a class="wiki_link" href="/equal"&gt;equal&lt;/a&gt; intervals, each 175.489 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size.&lt;br /&gt;
|-
This division is said to be used in traditional scales of Georgia. See the &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100326" rel="nofollow"&gt;discussion on the Yahoo tuning list&lt;/a&gt;.&lt;br /&gt;
| 0
&lt;br /&gt;
| 0.0
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Intervals&lt;/h2&gt;
| C
|-
| 1
| 175.5
| D
|-
| 2
| 351.0
| E
|-
| 3
| 526.5
| F
|-
| 4
| 702.0
| C
|-
| 5
| 877.4
| D
|-
| 6
| 1052.9
| E
|-
| 7
| 1228.4
| F
|-
| 8
| 1403.9
| C
|-
| 9
| 1579.4
| D
|-
| 10
| 1754.9
| E
|-
| 11
| 1930.4
| F
|-
| 12
| 2105.9
| C
|-
| 13
| 2281.4
| D
|-
| 14
| 2456.8
| E
|}


&lt;table class="wiki_table"&gt;
== Music ==
    &lt;tr&gt;
; [[Carlo Serafini]]
        &lt;th&gt;degree&lt;br /&gt;
* ''Repetitions 1'' – [http://www.seraph.it/dep/det/repetitions1.mp3 play] | [https://www.youtube.com/watch?v=XEklMo0tIW0 YouTube]
&lt;/th&gt;
        &lt;th&gt;cents value&lt;br /&gt;
&lt;/th&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;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;178.489&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;350.978&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;526.466&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;701.955&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;877.444&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;1052.933&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;th&gt;second octave&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1228.421&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[[Category:Listen]]
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Equal division of the perfect fifth (3/2) into 4 equal parts-Compositions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Compositions&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/repetitions1.mp3" rel="nofollow"&gt;Repetitions 1&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=XEklMo0tIW0" rel="nofollow"&gt;Repetitions 1 video&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
Retrieved from "https://en.xen.wiki/w/4edf"