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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 = undevicesimal major seventh, Boethius' major seventh |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-10 21:56:48 UTC</tt>.<br>
| | | Color name = 19u7, inu 7th |
| : The original revision id was <tt>513547448</tt>.<br>
| | | Sound = jid_36_19_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>
| | |
| <h4>Original Wikitext content:</h4>
| | In [[19-limit]] [[just intonation]], '''36/19''' is the '''undevicesimal major seventh''' or '''Boethius' major seventh''', measuring about 1106.4¢. It is flat of the [[243/128|Pythagorean major seventh (243/128)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''. |
| <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">**36/19**
| | == Approximation == |
| |2 2 0 0 0 0 0 -1>
| | {{Interval edo approximation|36/19}} |
| 1106.397 cents
| | |
| [[media type="file" key="jid_36_19_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_36_19_pluck_adu_dr220.mp3|sound sample]] | | == See also == |
| </pre></div>
| | * [[19/18]] – its [[octave complement]], the large undevicesimal semitone |
| <h4>Original HTML content:</h4>
| | * [[19/10]] – the undevicesimal diminished octave |
| <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>36_19</title></head><body><strong>36/19</strong><br />
| | * [[Gallery of just intervals]] |
| |2 2 0 0 0 0 0 -1&gt;<br />
| | |
| 1106.397 cents<br />
| | [[Category:Seventh]] |
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| | [[Category:Major seventh]] |
| | [[Category:Boethius]] |
In 19-limit just intonation, 36/19 is the undevicesimal major seventh or Boethius' major seventh, measuring about 1106.4¢. It is flat of the Pythagorean major seventh (243/128) by 513/512, the undevicesimal comma aka Boethius' comma.
Approximation
Edo approximations for 36/19 (1106.40 ¢)
≤ 80edo, relative error ≤ 10%
| Edo |
Step size |
Cents (¢) |
Absolute error (¢) |
Relative error (%)
|
| 12 |
11\12 |
1100.00 |
-6.40 |
-6.40
|
| 13 |
12\13 |
1107.69 |
+1.30 |
+1.40
|
| 14 |
13\14 |
1114.29 |
+7.89 |
+9.20
|
| 25 |
23\25 |
1104.00 |
-2.40 |
-4.99
|
| 26 |
24\26 |
1107.69 |
+1.30 |
+2.81
|
| 38 |
35\38 |
1105.26 |
-1.13 |
-3.59
|
| 39 |
36\39 |
1107.69 |
+1.30 |
+4.21
|
| 50 |
46\50 |
1104.00 |
-2.40 |
-9.99
|
| 51 |
47\51 |
1105.88 |
-0.51 |
-2.19
|
| 52 |
48\52 |
1107.69 |
+1.30 |
+5.61
|
| 63 |
58\63 |
1104.76 |
-1.64 |
-8.58
|
| 64 |
59\64 |
1106.25 |
-0.15 |
-0.78
|
| 65 |
60\65 |
1107.69 |
+1.30 |
+7.02
|
| 76 |
70\76 |
1105.26 |
-1.13 |
-7.18
|
| 77 |
71\77 |
1106.49 |
+0.10 |
+0.62
|
| 78 |
72\78 |
1107.69 |
+1.30 |
+8.42
|
See also