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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 = diptolemaic augmented sixth, Neapolitan augmented sixth, marvel 5-limit harmonic seventh |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 21:21:46 UTC</tt>.<br>
| | | Color name = Lyy6, layoyo 6th |
| : The original revision id was <tt>513278130</tt>.<br>
| | | Sound = jid_225_128_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">**225/128**
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| 976.5374 cents
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| [[media type="file" key="jid_225_128_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_225_128_pluck_adu_dr220.mp3|sound sample]]
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| The marvel five-limit harmonic seventh, 225/128, is the interval between the [[5-limit]] minor second, [[16_15|16/15]], and the major second, [[15_8|15/8]]. It is a marvel comma, 225/224, sharp of the harmonic seventh, [[7_4|7/4]], and so tempering out 225/224, which is [[marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8_7|8/7]] and two major seconds into [[7_6|7/6]].</pre></div>
| | '''225/128''', the '''diptolemaic augmented sixth''' or '''Neapolitan augmented sixth''', is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]]. It is flat of the [[59049/32768|Pythagorean augmented sixth]] by two syntonic commas, hence the first name, whereas the second name comes on account of this interval occurring in precisely this capacity in just Neapolitan scales. |
| <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>225_128</title></head><body><strong>225/128</strong><br />
| | It is a marvel comma, [[225/224]], sharp of the harmonic seventh, [[7/4]], and so [[tempering out]] 225/224, which is [[marvel]] temperament, equates the two. As such, it can also be called the '''marvel 5-limit harmonic seventh'''. |
| |-7 2 2&gt;<br />
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| 976.5374 cents<br />
| | == See also == |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_225_128_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_225_128_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_225_128_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_225_128_pluck_adu_dr220.mp3/513250464/jid_225_128_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_225_128_pluck_adu_dr220.mp3/513250464/jid_225_128_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * [[256/225]] – its [[octave complement]] |
| <br />
| | * [[Gallery of just intervals]] |
| The marvel five-limit harmonic seventh, 225/128, is the interval between the <a class="wiki_link" href="/5-limit">5-limit</a> minor second, <a class="wiki_link" href="/16_15">16/15</a>, and the major second, <a class="wiki_link" href="/15_8">15/8</a>. It is a marvel comma, 225/224, sharp of the harmonic seventh, <a class="wiki_link" href="/7_4">7/4</a>, and so tempering out 225/224, which is <a class="wiki_link" href="/marvel">marvel</a> temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, <a class="wiki_link" href="/8_7">8/7</a> and two major seconds into <a class="wiki_link" href="/7_6">7/6</a>.</body></html></pre></div>
| | * [[:File:Ji-225-128-csound-foscil-220hz.mp3]] – another sound example |
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| | [[Category:Sixth]] |
| | [[Category:Augmented sixth]] |
225/128, the diptolemaic augmented sixth or Neapolitan augmented sixth, is the interval between the 5-limit minor second, 16/15, and the major seventh, 15/8. It is flat of the Pythagorean augmented sixth by two syntonic commas, hence the first name, whereas the second name comes on account of this interval occurring in precisely this capacity in just Neapolitan scales.
It is a marvel comma, 225/224, sharp of the harmonic seventh, 7/4, and so tempering out 225/224, which is marvel temperament, equates the two. As such, it can also be called the marvel 5-limit harmonic seventh.
See also