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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 = large septendecimal major seventh |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 22:10:01 UTC</tt>.<br>
| | | Color name = 17o8, iso octave |
| : The original revision id was <tt>513282064</tt>.<br>
| | | Sound = jid_17_9_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>
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| <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">**17/9**
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| |0 -2 0 0 0 0 1> | |
| 1101.0454 cents
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| [[media type="file" key="jid_17_9_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_9_pluck_adu_dr220.mp3|sound sample]]
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| In [[17-limit]] [[Just Intonation]], 17/9 is the "large septendecimal major seventh," measuring about 1101¢. It is the [[mediant]] between [[15_8|15/8]] and [[2_1|2/1]]. Its inversion is [[18_17|18/17]], the "small septendecimal semitone". | | In [[17-limit]] [[just intonation]], '''17/9''' is the '''septendecimal diminished octave''' or the '''septendecimal major seventh''', depending on how one views it. It measures about 1101¢. It is the [[mediant]] between [[15/8]] and [[2/1]]. Its inversion is [[18/17]], the "small septendecimal semitone". |
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| See: [[Gallery of Just Intervals]]</pre></div>
| | == Terminology and notation == |
| <h4>Original HTML content:</h4>
| | There exists a disagreement in different conceptualization systems on whether 17/9 should be a major seventh or a diminished octave. The diminished octave view corresponds to [[Functional Just System]], with the formal comma [[4131/4096]] separating it from [[4096/2187]], the Pythagorean diminished octave. The major seventh view corresponds to [[Helmholtz-Ellis notation]], with the formal comma [[2187/2176]] separating it from [[243/128]], the Pythagorean major seventh. |
| <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>17_9</title></head><body><strong>17/9</strong><br />
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| |0 -2 0 0 0 0 1&gt;<br />
| | In practice, the interval category may, arguably, vary by context. One solution for the JI user who uses expanded [[circle-of-fifths notation]] is to prepare a [[Pythagorean comma]] accidental so that the interval can be notated in either category. |
| 1101.0454 cents<br />
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| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_9_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_17_9_pluck_adu_dr220.mp3&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_17_9_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_17_9_pluck_adu_dr220.mp3/513249810/jid_17_9_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_9_pluck_adu_dr220.mp3/513249810/jid_17_9_pluck_adu_dr220.mp3');">sound sample</a><br />
| | == See also == |
| <br />
| | * [[18/17]] – its [[octave complement]] |
| In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/9 is the &quot;large septendecimal major seventh,&quot; measuring about 1101¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/15_8">15/8</a> and <a class="wiki_link" href="/2_1">2/1</a>. Its inversion is <a class="wiki_link" href="/18_17">18/17</a>, the &quot;small septendecimal semitone&quot;.<br /> | | * [[Gallery of Just Intervals]] |
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| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | | [[Category:Seventh]] |
| | [[Category:Major seventh]] |
| | [[Category:Octave]] |
| | [[Category:Diminished octave]] |