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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = high tritone, greater septimal tritone, Euler's tritone |
| : This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-03-24 20:46:11 UTC</tt>.<br>
| | | Color name = ry4, ruyo 4th |
| : The original revision id was <tt>545215048</tt>.<br>
| | | Sound = jid_10_7_pluck_adu_dr220.mp3 |
| : 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>
| | {{Wikipedia|Septimal tritone}} |
| <h4>Original Wikitext content:</h4>
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| <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">[[image:ji glyph 10 7.png width="148" height="118" caption="JI Glyph for 10/7
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| **10/7**
| | In [[7-limit]] [[just intonation]], '''10/7''' is a '''high [[tritone]]''' (or '''Euler's tritone''') measuring about 617.5¢. It has a similar sound to its inversion, [[7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5/4]]) appears above the harmonic seventh ([[7/4]]), such as 4:6:7:10 – This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7, but no 7/5. It's well approximated by the Pythagorean augmented fourth [[729/512]], differing by [[5120/5103]]. |
| |1 0 1 -1>
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| 617.48781 cents | |
| Type: Utonal
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| [[media type="file" key="jid_10_7_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_10_7_pluck_adu_dr220.mp3|sound sample]] | |
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| In [[7-limit]] [[Just Intonation]], 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, [[7_5|7/5]], but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third ([[5_4|5/4]]) appears above the harmonic seventh ([[7_4|7/4]]), such as 4:6:7:10. (This particular chord is well-approximated in [[88cET]], which has a good approximation of 10/7 -- but no 7/5.)
| | While in the context of the [[harmonic seventh chord]], it is rightly recognized as a type of augmented fourth, it can also be argued on the basis of the fact that 10/7 interval is larger than 600 cents that it acts more as a type of diminished fifth than an augmented fourth – an analysis that is required in cases where this interval occurs in a [[5L 2s|diatonic scale]] that demonstrates [[Rothenberg propriety]]. |
| | == Approximation == |
| | {{Interval edo approximation|10/7}} |
| | == See also == |
| | * [[7/5]] – its [[octave complement]] |
| | * [[21/20]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | [[Category:Tritone]] |
| <h4>Original HTML content:</h4>
| | [[Category:Over-7 intervals]] |
| <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>10_7</title></head><body><!-- ws:start:WikiTextLocalImageRule:1:&lt;img src=&quot;/file/view/ji%20glyph%2010%207.png/545214478/148x118/ji%20glyph%2010%207.png&quot; alt=&quot;JI Glyph for 10/7&quot; title=&quot;JI Glyph for 10/7&quot; style=&quot;height: 118px; width: 148px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/ji%20glyph%2010%207.png/545214478/148x118/ji%20glyph%2010%207.png" alt="ji glyph 10 7.png" title="ji glyph 10 7.png" style="height: 118px; width: 148px;" /></td></tr><tr><td class="imageCaption">JI Glyph for 10/7</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1 --><br />
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| <strong>10/7</strong><br />
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| |1 0 1 -1&gt;<br />
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| 617.48781 cents<br />
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| Type: Utonal <br />
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| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_10_7_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_10_7_pluck_adu_dr220.mp3&amp;quot; width=&amp;quot;240&amp;quot; height=&amp;quot;20&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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%252Fjid_10_7_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_10_7_pluck_adu_dr220.mp3/513184772/jid_10_7_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_10_7_pluck_adu_dr220.mp3/513184772/jid_10_7_pluck_adu_dr220.mp3');">sound sample</a><br />
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| In <a class="wiki_link" href="/7-limit">7-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 10/7 is a high tritone measuring about 617.5¢. It has a similar sound to its inversion, <a class="wiki_link" href="/7_5">7/5</a>, but may sound a little edgier, less relaxed. Nonetheless, it is considered a septimal consonance. It appears in chords where a major third (<a class="wiki_link" href="/5_4">5/4</a>) appears above the harmonic seventh (<a class="wiki_link" href="/7_4">7/4</a>), such as 4:6:7:10. (This particular chord is well-approximated in <a class="wiki_link" href="/88cET">88cET</a>, which has a good approximation of 10/7 -- but no 7/5.)<br />
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
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