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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 = tridecimal diminished fifth, high tritone |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-10-07 19:44:22 UTC</tt>.<br>
| | | Color name = 3o5, tho 5th |
| : The original revision id was <tt>262740002</tt>.<br>
| | | Sound = jid_13_9_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 [[13-limit]] [[Just Intonation]], 13/9 is a high tritone measuring about 636.6¢. Its inversion is [[18_13|18/13]], a low tritone. It appears between the 9th and 13th overtones of the [[OverToneSeries|harmonic series]].
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| See: [[Gallery of Just Intervals]]</pre></div>
| | In [[13-limit]] [[just intonation]], '''13/9''', the '''tridecimal diminished fifth''' is a '''high [[tritone]]''' measuring about 636.6¢. It appears between the 9th and 13th harmonics of the [[harmonic series]]. Its inversion is [[18/13]], a low tritone. |
| <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>13_9</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/9 is a high tritone measuring about 636.6¢. Its inversion is <a class="wiki_link" href="/18_13">18/13</a>, a low tritone. It appears between the 9th and 13th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>.<br />
| | {{Interval edo approximation|13/9}} |
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| | == See also == |
| See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | | |
| | * [[18/13]] – its [[octave complement]] |
| | * [[27/26]] – its [[fifth complement]] |
| | * [[Gallery of just intervals]] |
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| | [[Category:Tritone]] |
In 13-limit just intonation, 13/9, the tridecimal diminished fifth is a high tritone measuring about 636.6¢. It appears between the 9th and 13th harmonics of the harmonic series. Its inversion is 18/13, a low tritone.
Approximation
Edo approximations for 13/9 (636.62 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 2 |
1\2 |
600.00 |
-36.62 |
-6.10
|
| 15 |
8\15 |
640.00 |
+3.38 |
+4.23
|
| 17 |
9\17 |
635.29 |
-1.32 |
-1.88
|
| 19 |
10\19 |
631.58 |
-5.04 |
-7.98
|
| 30 |
16\30 |
640.00 |
+3.38 |
+8.46
|
| 32 |
17\32 |
637.50 |
+0.88 |
+2.35
|
| 34 |
18\34 |
635.29 |
-1.32 |
-3.75
|
| 36 |
19\36 |
633.33 |
-3.28 |
-9.85
|
| 47 |
25\47 |
638.30 |
+1.68 |
+6.58
|
| 49 |
26\49 |
636.73 |
+0.12 |
+0.48
|
| 51 |
27\51 |
635.29 |
-1.32 |
-5.63
|
| 64 |
34\64 |
637.50 |
+0.88 |
+4.71
|
| 66 |
35\66 |
636.36 |
-0.25 |
-1.40
|
| 68 |
36\68 |
635.29 |
-1.32 |
-7.50
|
| 79 |
42\79 |
637.97 |
+1.36 |
+8.93
|
See also