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| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <span style="display: block; text-align: right;">[[:de:7/5 Deutsch]]</span> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2017-11-23 15:31:01 UTC</tt>.<br>
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| : The original revision id was <tt>622275597</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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"><span style="display: block; text-align: right;">[[xenharmonie/7_5|Deutsch]]
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| </span>
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| [[image:ji glyph 7 5.png width="147" height="116" caption="JI glyph for 7/5"]]
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| **7/5**
| | {| class="wikitable" |
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| | | | [[File:ji_glyph_7_5.png|alt=ji glyph 7 5.png|147x116px|ji glyph 7 5.png]] |
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| | | | JI glyph for 7/5 |
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| | '''7/5''' |
| |0 0 -1 1> | | |0 0 -1 1> |
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| 582.51219 cents | | 582.51219 cents |
| [[media type="file" key="jid_7_5_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_7_5_pluck_adu_dr220.mp3|sound sample]]
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| In [[7-limit]] [[Just Intonation]], 7/5 is a narrow [[@http://en.wikipedia.org/wiki/Tritone|tritone]] measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo]] and every even-numbered [[EDO]]. It represents the difference between [[7_4|7/4]] and [[5_4|5/4]]. | | [[File:jid_7_5_pluck_adu_dr220.mp3]] [[:File:jid_7_5_pluck_adu_dr220.mp3|sound sample]] |
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| | In [[7-limit|7-limit]] [[Just_intonation|Just Intonation]], 7/5 is a narrow [http://en.wikipedia.org/wiki/Tritone tritone] measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of [[12edo|12edo]] and every even-numbered [[EDO|EDO]]. It represents the difference between [[7/4|7/4]] and [[5/4|5/4]]. |
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| 7/5 is notable for its low [[harmonic entropy]], and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is [[10_7|10/7]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular]] interval [[50_49|50/49]], about 35.0¢. Systems which temper out 50/49 will equate 7/5 and [[10_7|10/7]], usually to the 600¢ half-octave. | | 7/5 is notable for its low [[Harmonic_Entropy|harmonic entropy]], and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is [[10/7|10/7]], which measures about 617.5¢, and these two septimal tritones differ by the [[superparticular|superparticular]] interval [[50/49|50/49]], about 35.0¢. Systems which temper out 50/49 will equate 7/5 and [[10/7|10/7]], usually to the 600¢ half-octave. |
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| Another just tritone is the [[3-limit]] 729/512, 611.7¢, and this is literally a tri-tone, since it is (9/8)<span style="vertical-align: super;">3</span>, or three "whole tones". Yet another is [[45_32|45/32]], about 590.2¢, which appears in the [[5-limit]] (inversion is [[64_45|64/45]]). See also [[13_9|13/9]], [[18_13|18/13]], [[17_12|17/12]], [[24_17|24/17]], [[25_18|25/18]] and [[36_25|36/25]]. | | Another just tritone is the [[3-limit|3-limit]] 729/512, 611.7¢, and this is literally a tri-tone, since it is (9/8)<span style="vertical-align: super;">3</span>, or three "whole tones". Yet another is [[45/32|45/32]], about 590.2¢, which appears in the [[5-limit|5-limit]] (inversion is [[64/45|64/45]]). See also [[13/9|13/9]], [[18/13|18/13]], [[17/12|17/12]], [[24/17|24/17]], [[25/18|25/18]] and [[36/25|36/25]]. |
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| See: [[Gallery of Just Intervals]]</pre></div> | | See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]] [[Category:7-limit]] |
| <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"><html><head><title>7_5</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/7_5">Deutsch</a><br />
| | [[Category:just_interval]] |
| </span><br />
| | [[Category:ratio]] |
| <!-- ws:start:WikiTextLocalImageRule:1:&lt;img src=&quot;/file/view/ji%20glyph%207%205.png/545214466/147x116/ji%20glyph%207%205.png&quot; alt=&quot;JI glyph for 7/5&quot; title=&quot;JI glyph for 7/5&quot; style=&quot;height: 116px; width: 147px;&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/ji%20glyph%207%205.png/545214466/147x116/ji%20glyph%207%205.png" alt="ji glyph 7 5.png" title="ji glyph 7 5.png" style="height: 116px; width: 147px;" /></td></tr><tr><td class="imageCaption">JI glyph for 7/5</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1 --><br />
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| <br />
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| <strong>7/5</strong><br />
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| |0 0 -1 1&gt;<br />
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| 582.51219 cents<br />
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| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_7_5_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_7_5_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_7_5_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_7_5_pluck_adu_dr220.mp3/513183034/jid_7_5_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_7_5_pluck_adu_dr220.mp3/513183034/jid_7_5_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>, 7/5 is a narrow <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Tritone" rel="nofollow" target="_blank">tritone</a> measuring about 582.5¢. It is a noticeable 17.5¢ away from the 600¢ half-octave (square root of 2) tritone of <a class="wiki_link" href="/12edo">12edo</a> and every even-numbered <a class="wiki_link" href="/EDO">EDO</a>. It represents the difference between <a class="wiki_link" href="/7_4">7/4</a> and <a class="wiki_link" href="/5_4">5/4</a>.<br />
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| 7/5 is notable for its low <a class="wiki_link" href="/harmonic%20entropy">harmonic entropy</a>, and is often reported to sound more consonant than the half-octave tritone; indeed it appears in the 4:5:6:7 tetrad that forms the basis of consonance in 7-limit JI. Its inversion is <a class="wiki_link" href="/10_7">10/7</a>, which measures about 617.5¢, and these two septimal tritones differ by the <a class="wiki_link" href="/superparticular">superparticular</a> interval <a class="wiki_link" href="/50_49">50/49</a>, about 35.0¢. Systems which temper out 50/49 will equate 7/5 and <a class="wiki_link" href="/10_7">10/7</a>, usually to the 600¢ half-octave.<br />
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| <br />
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| Another just tritone is the <a class="wiki_link" href="/3-limit">3-limit</a> 729/512, 611.7¢, and this is literally a tri-tone, since it is (9/8)<span style="vertical-align: super;">3</span>, or three &quot;whole tones&quot;. Yet another is <a class="wiki_link" href="/45_32">45/32</a>, about 590.2¢, which appears in the <a class="wiki_link" href="/5-limit">5-limit</a> (inversion is <a class="wiki_link" href="/64_45">64/45</a>). See also <a class="wiki_link" href="/13_9">13/9</a>, <a class="wiki_link" href="/18_13">18/13</a>, <a class="wiki_link" href="/17_12">17/12</a>, <a class="wiki_link" href="/24_17">24/17</a>, <a class="wiki_link" href="/25_18">25/18</a> and <a class="wiki_link" href="/36_25">36/25</a>.<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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