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List of tritave reduced harmonics: Difference between revisions

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Wikispaces>Kosmorsky
**Imported revision 280651068 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 591734018 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Kosmorsky|Kosmorsky]] and made on <tt>2011-11-30 12:12:01 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-09-12 18:20:52 UTC</tt>.<br>
: The original revision id was <tt>280651068</tt>.<br>
: The original revision id was <tt>591734018</tt>.<br>
: The revision comment was: <tt></tt><br>
: 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>
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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<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">The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.
<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">The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.


1/1..............0.000 unison, perfect prime  
1/1...............0.000 unison, perfect prime
10/9.............182.404 minor whole tone  
28/27...........&lt;span style="background-color: rgba(255,255,255,0);"&gt;62.961 septimal third tone&lt;/span&gt;
11/9.............347.408 undecimal neutral third  
29/27...........123.721 undetrigesimal augmented semitone
4/3..............498.045 perfect fourth  
10/9.............182.404 minor whole tone
13/9.............636.618 tridecimal diminished fifth  
31/27...........239.171 tricesimoprimal major whole tone
14/9.............764.916 septimal minor sixth  
32/27...........294.135 &lt;span style="background-color: rgba(255,255,255,0);"&gt;Pythagorean minor third&lt;/span&gt;
5/3..............884.359 major sixth, BP sixth  
11/9.............347.408 lesser undecimal neutral third
16/9.............996.090 Pythagorean minor seventh  
34/27...........399.09 quasi-equal tempered major third
17/9.............1101.045 septendecimal major seventh  
35/27...........449.275 5-7 third-fourth
2/1..............1200.000 octave
4/3...............498.045 perfect fourth
19/9.............1293.603 undevicesimal semitone +1 octave  
37/27...........545.479 tricesimoseptimal augmented fourth
20/9.............1382.404 small ninth
38/27...........591.648 &lt;span style="background-color: rgba(255,255,255,0);"&gt;undevicesimal tritone&lt;/span&gt;
7/3..............1466.871 minimal tenth, BP tenth
13/9.............636.618 tridecimal diminished fifth
22/9.............1547.408 undecimal neutral third +1 octave
40/27...........680.449 classic wolf fifth
23/9.............1624.364 vicesimotertial major third +1 octave
41/27...........723.197 quadricesimoprimal wolf fifth
8/3..............1698.045 perfect 11th
14/9.............764.916 septimal minor sixth
25/9.............1768.717 classic augmented eleventh, BP twelfth
43/27...........805.653 quadricesimotertial minor sixth
26/9.............1836.618 tridecimal diminished fifth +1 octave  
44/27...........845.453 lesser undecimal neutral sixth
3/1..............1901.955 tritave
5/3...............884.359 major sixth, BP sixth
46/27...........922.409 &lt;span style="background-color: rgba(255,255,255,0);"&gt;vicesimotertial major sixth&lt;/span&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;47/27...........959.642 quadricesimoseptimal sixth-seventh&lt;/span&gt;
16/9.............996.090 Pythagorean minor seventh
49/27...........1031.787 septimal augmented minor seventh
50/27...........1066.762 octave minus major limma
17/9.............1101.045 septendecimal major seventh
52/27...........1134.663 octave minus 26th partial chroma
53/27...........1167.6395 octave minus quincesimotertial diesis
2/1...............1200.000 octave
55/27...........1231.767 55th partial chroma + 1 octave
56/27...........12&lt;span style="background-color: rgba(255,255,255,0);"&gt;62.961 septimal third tone + 1 octave&lt;/span&gt;
19/9.............1293.603 undevicesimal semitone +1 octave
58/27&lt;span style="background-color: rgba(255,255,255,0);"&gt;...........1323.721 undetrigesimal augmented semitone + 1 octave&lt;/span&gt;
59/27...........1353.307 undesexagesimal neutral ninth
20/9.............1382.404 classical major ninth
61/27...........1411.020 sexacesimoprimal major ninth
&lt;span style="background-color: rgba(255,255,255,0);"&gt;62/27...........1439.171 tricesimoprimal maximal ninth&lt;/span&gt;
7/3...............1466.871 minimal tenth, BP tenth
64/27...........1494.135 &lt;span style="background-color: rgba(255,255,255,0);"&gt;Pythagorean minor tenth&lt;/span&gt;
65/27...........1520.976 65th partial minor tenth
22/9.............1547.408 lesser undecimal neutral tenth
67/27...........1573.442 &lt;span style="background-color: rgba(255,255,255,0);"&gt;sexacesimoseptimal perde segah + 1 octave&lt;/span&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;68/27...........1599.09 quasi-equal tempered major tenth&lt;/span&gt;


--  
23/9.............1624.364 vicesimotertial major tenth
70/27...........164&lt;span style="background-color: rgba(255,255,255,0);"&gt;9.275 3-5-7 tenth-eleventh&lt;/span&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;71/27...........1673.8315 septuacesimoprimal tenth-eleventh&lt;/span&gt;
 
8/3...............1698.045 perfect 11th
73/27...........1721.9245 &lt;span style="background-color: rgba(255,255,255,0);"&gt;septuacesimotertial wolf eleventh&lt;/span&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;74/27...........1745.479 tricesimoseptimal augmented eleventh&lt;/span&gt;
 
25/9.............1768.717 classic augmented eleventh, BP twelfth
76/27...........17&lt;span style="background-color: rgba(255,255,255,0);"&gt;91.648 undevicesimal tritone + 1 octave&lt;/span&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;77/27...........1814.279 7-11 tritone + 1 octave&lt;/span&gt;
26/9.............1836.618 tridecimal &lt;span style="background-color: rgba(255,255,255,0);"&gt;diminished twelfth&lt;/span&gt;
79/27...........1858.672 undeoctogesimal &lt;span style="background-color: rgba(255,255,255,0);"&gt;diminished twelfth&lt;/span&gt;
80/27...........18&lt;span style="background-color: rgba(255,255,255,0);"&gt;80.449 classic wolf twelfth&lt;/span&gt;
3/1...............1901.955 tritave
 
--


Other useful tritave based intervals: (to be filled in as people see fit)</pre></div>
Other useful tritave based intervals: (to be filled in as people see fit)</pre></div>
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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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Tritave Reduced Harmonics&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Tritave Reduced Harmonics&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The first few tritave reduced harmonics, for the sake of convenient access. Feel free to add higher limit ones like 29/27. I don't personally see that they're needed at this stage in musical development but someday they will be.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
1/1..............0.000 unison, perfect prime &lt;br /&gt;
1/1...............0.000 unison, perfect prime&lt;br /&gt;
10/9.............182.404 minor whole tone &lt;br /&gt;
28/27...........&lt;span style="background-color: rgba(255,255,255,0);"&gt;62.961 septimal third tone&lt;/span&gt;&lt;br /&gt;
11/9.............347.408 undecimal neutral third &lt;br /&gt;
29/27...........123.721 undetrigesimal augmented semitone&lt;br /&gt;
4/3..............498.045 perfect fourth &lt;br /&gt;
10/9.............182.404 minor whole tone&lt;br /&gt;
13/9.............636.618 tridecimal diminished fifth &lt;br /&gt;
31/27...........239.171 tricesimoprimal major whole tone&lt;br /&gt;
14/9.............764.916 septimal minor sixth &lt;br /&gt;
32/27...........294.135 &lt;span style="background-color: rgba(255,255,255,0);"&gt;Pythagorean minor third&lt;/span&gt;&lt;br /&gt;
5/3..............884.359 major sixth, BP sixth &lt;br /&gt;
11/9.............347.408 lesser undecimal neutral third&lt;br /&gt;
16/9.............996.090 Pythagorean minor seventh &lt;br /&gt;
34/27...........399.09 quasi-equal tempered major third&lt;br /&gt;
17/9.............1101.045 septendecimal major seventh &lt;br /&gt;
35/27...........449.275 5-7 third-fourth&lt;br /&gt;
2/1..............1200.000 octave&lt;br /&gt;
4/3...............498.045 perfect fourth&lt;br /&gt;
19/9.............1293.603 undevicesimal semitone +1 octave &lt;br /&gt;
37/27...........545.479 tricesimoseptimal augmented fourth&lt;br /&gt;
20/9.............1382.404 small ninth&lt;br /&gt;
38/27...........591.648 &lt;span style="background-color: rgba(255,255,255,0);"&gt;undevicesimal tritone&lt;/span&gt;&lt;br /&gt;
7/3..............1466.871 minimal tenth, BP tenth&lt;br /&gt;
13/9.............636.618 tridecimal diminished fifth&lt;br /&gt;
22/9.............1547.408 undecimal neutral third +1 octave &lt;br /&gt;
40/27...........680.449 classic wolf fifth&lt;br /&gt;
23/9.............1624.364 vicesimotertial major third +1 octave &lt;br /&gt;
41/27...........723.197 quadricesimoprimal wolf fifth&lt;br /&gt;
8/3..............1698.045 perfect 11th &lt;br /&gt;
14/9.............764.916 septimal minor sixth&lt;br /&gt;
25/9.............1768.717 classic augmented eleventh, BP twelfth &lt;br /&gt;
43/27...........805.653 quadricesimotertial minor sixth&lt;br /&gt;
26/9.............1836.618 tridecimal diminished fifth +1 octave &lt;br /&gt;
44/27...........845.453 lesser undecimal neutral sixth&lt;br /&gt;
3/1..............1901.955 tritave&lt;br /&gt;
5/3...............884.359 major sixth, BP sixth&lt;br /&gt;
46/27...........922.409 &lt;span style="background-color: rgba(255,255,255,0);"&gt;vicesimotertial major sixth&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;47/27...........959.642 quadricesimoseptimal sixth-seventh&lt;/span&gt;&lt;br /&gt;
16/9.............996.090 Pythagorean minor seventh&lt;br /&gt;
49/27...........1031.787 septimal augmented minor seventh&lt;br /&gt;
50/27...........1066.762 octave minus major limma&lt;br /&gt;
17/9.............1101.045 septendecimal major seventh&lt;br /&gt;
52/27...........1134.663 octave minus 26th partial chroma&lt;br /&gt;
53/27...........1167.6395 octave minus quincesimotertial diesis&lt;br /&gt;
2/1...............1200.000 octave&lt;br /&gt;
55/27...........1231.767 55th partial chroma + 1 octave&lt;br /&gt;
56/27...........12&lt;span style="background-color: rgba(255,255,255,0);"&gt;62.961 septimal third tone + 1 octave&lt;/span&gt;&lt;br /&gt;
19/9.............1293.603 undevicesimal semitone +1 octave&lt;br /&gt;
58/27&lt;span style="background-color: rgba(255,255,255,0);"&gt;...........1323.721 undetrigesimal augmented semitone + 1 octave&lt;/span&gt;&lt;br /&gt;
59/27...........1353.307 undesexagesimal neutral ninth&lt;br /&gt;
20/9.............1382.404 classical major ninth&lt;br /&gt;
61/27...........1411.020 sexacesimoprimal major ninth&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;62/27...........1439.171 tricesimoprimal maximal ninth&lt;/span&gt;&lt;br /&gt;
7/3...............1466.871 minimal tenth, BP tenth&lt;br /&gt;
64/27...........1494.135 &lt;span style="background-color: rgba(255,255,255,0);"&gt;Pythagorean minor tenth&lt;/span&gt;&lt;br /&gt;
65/27...........1520.976 65th partial minor tenth&lt;br /&gt;
22/9.............1547.408 lesser undecimal neutral tenth&lt;br /&gt;
67/27...........1573.442 &lt;span style="background-color: rgba(255,255,255,0);"&gt;sexacesimoseptimal perde segah + 1 octave&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;68/27...........1599.09 quasi-equal tempered major tenth&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
23/9.............1624.364 vicesimotertial major tenth&lt;br /&gt;
70/27...........164&lt;span style="background-color: rgba(255,255,255,0);"&gt;9.275 3-5-7 tenth-eleventh&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;71/27...........1673.8315 septuacesimoprimal tenth-eleventh&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
8/3...............1698.045 perfect 11th&lt;br /&gt;
73/27...........1721.9245 &lt;span style="background-color: rgba(255,255,255,0);"&gt;septuacesimotertial wolf eleventh&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;74/27...........1745.479 tricesimoseptimal augmented eleventh&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
25/9.............1768.717 classic augmented eleventh, BP twelfth&lt;br /&gt;
76/27...........17&lt;span style="background-color: rgba(255,255,255,0);"&gt;91.648 undevicesimal tritone + 1 octave&lt;/span&gt;&lt;br /&gt;
&lt;span style="background-color: rgba(255,255,255,0);"&gt;77/27...........1814.279 7-11 tritone + 1 octave&lt;/span&gt;&lt;br /&gt;
26/9.............1836.618 tridecimal &lt;span style="background-color: rgba(255,255,255,0);"&gt;diminished twelfth&lt;/span&gt;&lt;br /&gt;
79/27...........1858.672 undeoctogesimal &lt;span style="background-color: rgba(255,255,255,0);"&gt;diminished twelfth&lt;/span&gt;&lt;br /&gt;
80/27...........18&lt;span style="background-color: rgba(255,255,255,0);"&gt;80.449 classic wolf twelfth&lt;/span&gt;&lt;br /&gt;
3/1...............1901.955 tritave&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
-- &lt;br /&gt;
--&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Other useful tritave based intervals: (to be filled in as people see fit)&lt;/body&gt;&lt;/html&gt;</pre></div>
Other useful tritave based intervals: (to be filled in as people see fit)&lt;/body&gt;&lt;/html&gt;</pre></div>
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