36/35

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Revision as of 15:42, 23 November 2017 by Wikispaces>hstraub (**Imported revision 622276213 - Original comment: **)
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IMPORTED REVISION FROM WIKISPACES

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

This revision was by author hstraub and made on 2017-11-23 15:42:19 UTC.
The original revision id was 622276213.
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:

<span style="display: block; text-align: right;">**[[xenharmonie/36_35|Deutsch]]**
</span>
**36/35**
|2 2 -1 -1>
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.

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

Original HTML content:

<html><head><title>36_35</title></head><body><span style="display: block; text-align: right;"><strong><a class="wiki_link" href="http://xenharmonie.wikispaces.com/36_35">Deutsch</a></strong><br />
</span><br />
<strong>36/35</strong><br />
|2 2 -1 -1&gt;<br />
48.77038 cents<br />
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<br />
The <strong>septimal quarter tone</strong> (ratio: 36/35, size: 48.77038 <a class="wiki_link" href="/cent">cents</a>) is the difference between <a class="wiki_link" href="/10_9">10/9</a> and <a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/7_6">7/6</a> and <a class="wiki_link" href="/6_5">6/5</a>, <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a> and <a class="wiki_link" href="/8_5">8/5</a>, <a class="wiki_link" href="/5_3">5/3</a> and <a class="wiki_link" href="/12_7">12/7</a>, and <a class="wiki_link" href="/7_4">7/4</a> and <a class="wiki_link" href="/9_5">9/5</a>. It has a numerator which is both the sixth square number and the eighth <a class="wiki_link" href="/triangular%20number">triangular number</a>, leading to it being the product of two <a class="wiki_link" href="/superparticular">superparticular</a> 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.<br />
<br />
<a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Septimal_quarter_tone" rel="nofollow">http://en.wikipedia.org/wiki/Septimal_quarter_tone</a></body></html>