36/35: Difference between revisions

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**Imported revision 622276213 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<span style="display: block; text-align: right;">'''[[:de:36/35 Deutsch]]'''
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2017-11-23 15:42:19 UTC</tt>.<br>
</span>
: The original revision id was <tt>622276213</tt>.<br>
 
: The revision comment was: <tt></tt><br>
'''36/35'''
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">&lt;span style="display: block; text-align: right;"&gt;**[[xenharmonie/36_35|Deutsch]]**
&lt;/span&gt;
**36/35**
|2 2 -1 -1&gt;
|2 2 -1 -1&gt;
48.77038 cents
48.77038 cents
[[media type="file" key="ji-36-35-csound-foscil-220hz.mp3" width="240" height="20"]] [[file:xenharmonic/ji-36-35-csound-foscil-220hz.mp3|sound sample]] [[http://xenharmonic.wikispaces.com/file/detail/ji-36-35-csound-foscil-220hz.mp3|details]]


The **septimal quarter tone** (ratio: 36/35, size: 48.77038 [[cent|cents]]) is the difference between [[10_9|10/9]] and [[8_7|8/7]], [[7_6|7/6]] and [[6_5|6/5]], [[5_4|5/4]] and [[9_7|9/7]], [[14_9|14/9]] and [[8_5|8/5]], [[5_3|5/3]] and [[12_7|12/7]], and [[7_4|7/4]] and [[9_5|9/5]]. It has a numerator which is both the sixth square number and the eighth [[triangular number]], leading to it being the product of two [[superparticular]] commas both as 64/63 * 81/80 and as 66/65 * 78/77; it is also 45/44 * 176/175, 51/50 * 120/119 and 128/125 * 225/224.
[[File:ji-36-35-csound-foscil-220hz.mp3]] [[:File:ji-36-35-csound-foscil-220hz.mp3|sound sample]] [[:File:ji-36-35-csound-foscil-220hz.mp3|details]]
 
The '''septimal quarter tone''' (ratio: 36/35, size: 48.77038 [[cent|cents]]) is the difference between [[10/9|10/9]] and [[8/7|8/7]], [[7/6|7/6]] and [[6/5|6/5]], [[5/4|5/4]] and [[9/7|9/7]], [[14/9|14/9]] and [[8/5|8/5]], [[5/3|5/3]] and [[12/7|12/7]], and [[7/4|7/4]] and [[9/5|9/5]]. It has a numerator which is both the sixth square number and the eighth [[triangular_number|triangular number]], leading to it being the product of two [[superparticular|superparticular]] commas both as 64/63 * 81/80 and as 66/65 * 78/77; it is also 45/44 * 176/175, 51/50 * 120/119 and 128/125 * 225/224.


[[http://en.wikipedia.org/wiki/Septimal_quarter_tone]]</pre></div>
[http://en.wikipedia.org/wiki/Septimal_quarter_tone http://en.wikipedia.org/wiki/Septimal_quarter_tone]      [[Category:definition]]
<h4>Original HTML content:</h4>
[[Category:interval]]
<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;36_35&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;span style="display: block; text-align: right;"&gt;&lt;strong&gt;&lt;a class="wiki_link" href="http://xenharmonie.wikispaces.com/36_35"&gt;Deutsch&lt;/a&gt;&lt;/strong&gt;&lt;br /&gt;
[[Category:quartertone]]
&lt;/span&gt;&lt;br /&gt;
[[Category:septimal]]
&lt;strong&gt;36/35&lt;/strong&gt;&lt;br /&gt;
|2 2 -1 -1&amp;gt;&lt;br /&gt;
48.77038 cents&lt;br /&gt;
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/ji-36-35-csound-foscil-220hz.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;ji-36-35-csound-foscil-220hz.mp3&amp;amp;quot; width=&amp;amp;quot;240&amp;amp;quot; height=&amp;amp;quot;20&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fji-36-35-csound-foscil-220hz.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/ji-36-35-csound-foscil-220hz.mp3/602180764/ji-36-35-csound-foscil-220hz.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/ji-36-35-csound-foscil-220hz.mp3/602180764/ji-36-35-csound-foscil-220hz.mp3');"&gt;sound sample&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://xenharmonic.wikispaces.com/file/detail/ji-36-35-csound-foscil-220hz.mp3" rel="nofollow"&gt;details&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
The &lt;strong&gt;septimal quarter tone&lt;/strong&gt; (ratio: 36/35, size: 48.77038 &lt;a class="wiki_link" href="/cent"&gt;cents&lt;/a&gt;) is the difference between &lt;a class="wiki_link" href="/10_9"&gt;10/9&lt;/a&gt; and &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt; and &lt;a class="wiki_link" href="/6_5"&gt;6/5&lt;/a&gt;, &lt;a class="wiki_link" href="/5_4"&gt;5/4&lt;/a&gt; and &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_9"&gt;14/9&lt;/a&gt; and &lt;a class="wiki_link" href="/8_5"&gt;8/5&lt;/a&gt;, &lt;a class="wiki_link" href="/5_3"&gt;5/3&lt;/a&gt; and &lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;, and &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt; and &lt;a class="wiki_link" href="/9_5"&gt;9/5&lt;/a&gt;. It has a numerator which is both the sixth square number and the eighth &lt;a class="wiki_link" href="/triangular%20number"&gt;triangular number&lt;/a&gt;, leading to it being the product of two &lt;a class="wiki_link" href="/superparticular"&gt;superparticular&lt;/a&gt; commas both as 64/63 * 81/80 and as 66/65 * 78/77; it is also 45/44 * 176/175, 51/50 * 120/119 and 128/125 * 225/224.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_quarter_tone" rel="nofollow"&gt;http://en.wikipedia.org/wiki/Septimal_quarter_tone&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

de:36/35 Deutsch

36/35 |2 2 -1 -1>

48.77038 cents

sound sample details

The septimal quarter tone (ratio: 36/35, size: 48.77038 cents) is the difference between 10/9 and 8/7, 7/6 and 6/5, 5/4 and 9/7, 14/9 and 8/5, 5/3 and 12/7, and 7/4 and 9/5. It has a numerator which is both the sixth square number and the eighth triangular number, leading to it being the product of two superparticular commas both as 64/63 * 81/80 and as 66/65 * 78/77; it is also 45/44 * 176/175, 51/50 * 120/119 and 128/125 * 225/224.

http://en.wikipedia.org/wiki/Septimal_quarter_tone

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