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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 = classic(al) diminished fourth, diptolemaic diminished fourth |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-08 15:27:53 UTC</tt>.<br>
| | | Color name = gg4, gugu 4th |
| : The original revision id was <tt>513255072</tt>.<br>
| | | Sound = jid_32_25_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">**32/25**
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| |5 0 -2> | |
| 427.3726 cents
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| [[media type="file" key="jid_32_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_32_25_pluck_adu_dr220.mp3|sound sample]]
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| **32/25**, the classic diminished fourth (approx. 427.4 [[cent|cents]] in size), is the interval between [[5_4|5/4]] and [[8_5|8/5]]. It is 225/224 flat of [[9_7|9/7]], and tempering out 225/224 makes 1-5/4-8/5 into the [[marvel chords|marvel triad]]. It is also 176/175 sharp of [[14_11|14/11]], and tempering out 176/175 makes 1-5/4-8/5 into the [[valinorsmic chords|valinorsmic augmented triad]].</pre></div>
| | '''32/25''', the '''classic(al) diminished fourth''' or '''diptolemaic diminished fourth''', is the interval between [[5/4]] and [[8/5]]. It is [[225/224]] flat of [[9/7]], and tempering out 225/224 makes 1-5/4-8/5 into the [[marvel chords|marvel triad]]. It is also [[176/175]] sharp of [[14/11]], and tempering out 176/175 makes 1-5/4-8/5 into the [[valinorsmic chords|valinorsmic augmented triad]]. In terms of interval regions, it can be treated as a supermajor third. |
| <h4>Original HTML content:</h4>
| | == Approximation == |
| <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>32_25</title></head><body><strong>32/25</strong><br />
| | {{Interval edo approximation|32/25}} |
| |5 0 -2&gt;<br />
| | == See also == |
| 427.3726 cents<br />
| | * [[25/16]] – its [[octave complement]] |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_32_25_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_32_25_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_32_25_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_32_25_pluck_adu_dr220.mp3/513250238/jid_32_25_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_32_25_pluck_adu_dr220.mp3/513250238/jid_32_25_pluck_adu_dr220.mp3');">sound sample</a><br />
| | * [[75/64]] – its [[fifth complement]] |
| <br />
| | |
| <strong>32/25</strong>, the classic diminished fourth (approx. 427.4 <a class="wiki_link" href="/cent">cents</a> in size), is the interval between <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/8_5">8/5</a>. It is 225/224 flat of <a class="wiki_link" href="/9_7">9/7</a>, and tempering out 225/224 makes 1-5/4-8/5 into the <a class="wiki_link" href="/marvel%20chords">marvel triad</a>. It is also 176/175 sharp of <a class="wiki_link" href="/14_11">14/11</a>, and tempering out 176/175 makes 1-5/4-8/5 into the <a class="wiki_link" href="/valinorsmic%20chords">valinorsmic augmented triad</a>.</body></html></pre></div>
| | [[Category:Fourth]] |
| | [[Category:Diminished fourth]] |
32/25, the classic(al) diminished fourth or diptolemaic diminished fourth, is the interval between 5/4 and 8/5. It is 225/224 flat of 9/7, and tempering out 225/224 makes 1-5/4-8/5 into the marvel triad. It is also 176/175 sharp of 14/11, and tempering out 176/175 makes 1-5/4-8/5 into the valinorsmic augmented triad. In terms of interval regions, it can be treated as a supermajor third.
Approximation
Edo approximations for 32/25 (427.37 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 3 |
1\3 |
400.00 |
-27.37 |
-6.84
|
| 11 |
4\11 |
436.36 |
+8.99 |
+8.24
|
| 14 |
5\14 |
428.57 |
+1.20 |
+1.40
|
| 17 |
6\17 |
423.53 |
-3.84 |
-5.44
|
| 25 |
9\25 |
432.00 |
+4.63 |
+9.64
|
| 28 |
10\28 |
428.57 |
+1.20 |
+2.80
|
| 31 |
11\31 |
425.81 |
-1.57 |
-4.05
|
| 42 |
15\42 |
428.57 |
+1.20 |
+4.20
|
| 45 |
16\45 |
426.67 |
-0.71 |
-2.65
|
| 48 |
17\48 |
425.00 |
-2.37 |
-9.49
|
| 56 |
20\56 |
428.57 |
+1.20 |
+5.59
|
| 59 |
21\59 |
427.12 |
-0.25 |
-1.25
|
| 62 |
22\62 |
425.81 |
-1.57 |
-8.09
|
| 70 |
25\70 |
428.57 |
+1.20 |
+6.99
|
| 73 |
26\73 |
427.40 |
+0.02 |
+0.15
|
| 76 |
27\76 |
426.32 |
-1.06 |
-6.69
|
See also