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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 = larger septendecimal tritone |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:01:32 UTC</tt>.<br>
| | | Color name = 17o5, iso 5th |
| : The original revision id was <tt>513276654</tt>.<br>
| | | Sound = jid_17_12_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">**17/12**
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| |-2 -1 0 0 0 0 1> | |
| 603.0004 cents
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| [[media type="file" key="jid_17_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_17_12_pluck_adu_dr220.mp3|sound sample]]
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| In [[17-limit]] [[Just Intonation]], 17/12 is the "second septendecimal tritone," measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," [[24_17|24/17]], and the interval that separates them is the small [[comma]] [[299_298|299/298]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[EDO]] system contains a close approximation to these intervals. | | In [[17-limit]] [[just intonation]], '''17/12''' is the '''large septendecimal tritone''', measuring very nearly 603¢. Its inversion is the smaller septendecimal tritone, [[24/17]], and the interval that separates them is the small [[comma]] [[289/288]], about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered [[edo]] system contains a close approximation to these intervals. |
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| 17/12 is the [[mediant]] between the two septimal tritones [[7_5|7/5]] and [[10_7|10/7]]. | | 17/12 is the [[mediant]] between the two septimal tritones [[7/5]] and [[10/7]]. |
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| See: [[Gallery of Just Intervals]]</pre></div> | | == Terminology and notation == |
| <h4>Original HTML content:</h4>
| | Conceptualization systems disagree on whether [[17/16]] should be a [[diatonic semitone]] or a [[chromatic semitone]], and as a result the disagreement propagates to all intervals of [[harmonic class|HC17]]. See [[17-limit]] for a detailed discussion. |
| <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_12</title></head><body><strong>17/12</strong><br />
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| |-2 -1 0 0 0 0 1&gt;<br /> | | For 17/12 specifically: |
| 603.0004 cents<br />
| | * In [[Functional Just System]], it is a diminished fifth, separated by [[4131/4096]] from the [[1024/729|Pythagorean diminished fifth (1024/729)]]. |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_17_12_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_12_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_12_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_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_17_12_pluck_adu_dr220.mp3/513249968/jid_17_12_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * In [[Helmholtz-Ellis notation]], it is an augmented fourth, separated by [[2187/2176]] from the [[729/512|Pythagorean augmented fourth (729/512)]]. |
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| In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 17/12 is the &quot;second septendecimal tritone,&quot; measuring very nearly 603¢. Its inversion is the &quot;first septendecimal tritone,&quot; <a class="wiki_link" href="/24_17">24/17</a>, and the interval that separates them is the small <a class="wiki_link" href="/comma">comma</a> <a class="wiki_link" href="/299_298">299/298</a>, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered <a class="wiki_link" href="/EDO">EDO</a> system contains a close approximation to these intervals.<br />
| | The term ''large septendecimal tritone'' omits the distinction and only describes its melodic property i.e. the size. It is said in contrast to the small septendecimal tritone of 24/17. |
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| 17/12 is the <a class="wiki_link" href="/mediant">mediant</a> between the two septimal tritones <a class="wiki_link" href="/7_5">7/5</a> and <a class="wiki_link" href="/10_7">10/7</a>.<br />
| | == See also == |
| <br />
| | * [[24/17]] – its [[octave complement]] |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
| | * [[18/17]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| | [[Category:Tritone]] |