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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 = septendecimal submajor sixth |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-07 02:21:59 UTC</tt>.<br>
| | | Color name = 17uz6, suzo 6th |
| : The original revision id was <tt>283164712</tt>.<br>
| | | Sound = jid_28_17_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">In [[17-limit]] [[Just Intonation]], 28/17 is the "septendecimal submajor sixth," measuring about 863.870¢. It is the [[mediant]] between [[5_3|5/3]] and [[23_14|23/14]]. Its inversion is [[17_14|17/14]], the "septendecimal supraminor third."
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| See: [[Gallery of Just Intervals]]</pre></div>
| | In [[17-limit]] [[just intonation]], '''28/17''' is the '''septendecimal submajor sixth'''. It is the [[mediant]] of [[5/3]] and [[23/14]]. Its [[octave complement]] is [[17/14]], the septendecimal supraminor 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>28_17</title></head><body>In <a class="wiki_link" href="/17-limit">17-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 28/17 is the &quot;septendecimal submajor sixth,&quot; measuring about 863.870¢. It is the <a class="wiki_link" href="/mediant">mediant</a> between <a class="wiki_link" href="/5_3">5/3</a> and <a class="wiki_link" href="/23_14">23/14</a>. Its inversion is <a class="wiki_link" href="/17_14">17/14</a>, the &quot;septendecimal supraminor third.&quot;<br />
| | {{Interval edo approximation|28/17}} |
| <br />
| | == See also == |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | | * [[17/14]] – its [[octave complement]] |
| | * [[Gallery of just intervals]] |
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| | [[Category:Sixth]] |
| | [[Category:Submajor sixth]] |
In 17-limit just intonation, 28/17 is the septendecimal submajor sixth. It is the mediant of 5/3 and 23/14. Its octave complement is 17/14, the septendecimal supraminor third.
Approximation
Edo approximations for 28/17 (863.87 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 7 |
5\7 |
857.14 |
-6.73 |
-3.92
|
| 11 |
8\11 |
872.73 |
+8.86 |
+8.12
|
| 14 |
10\14 |
857.14 |
-6.73 |
-7.85
|
| 18 |
13\18 |
866.67 |
+2.80 |
+4.19
|
| 25 |
18\25 |
864.00 |
+0.13 |
+0.27
|
| 32 |
23\32 |
862.50 |
-1.37 |
-3.65
|
| 36 |
26\36 |
866.67 |
+2.80 |
+8.39
|
| 39 |
28\39 |
861.54 |
-2.33 |
-7.58
|
| 43 |
31\43 |
865.12 |
+1.25 |
+4.46
|
| 50 |
36\50 |
864.00 |
+0.13 |
+0.54
|
| 57 |
41\57 |
863.16 |
-0.71 |
-3.38
|
| 61 |
44\61 |
865.57 |
+1.70 |
+8.66
|
| 64 |
46\64 |
862.50 |
-1.37 |
-7.31
|
| 68 |
49\68 |
864.71 |
+0.84 |
+4.73
|
| 75 |
54\75 |
864.00 |
+0.13 |
+0.81
|
See also