List of tritave reduced harmonics: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The first few [[tritave]] reduced [[harmonic]]s, 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.
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>
: The original revision id was <tt>280651068</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>
<h4>Original Wikitext content:</h4>
<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
11/9.............347.408 undecimal neutral third
4/3..............498.045 perfect fourth
13/9.............636.618 tridecimal diminished fifth
14/9.............764.916 septimal minor sixth
5/3..............884.359 major sixth, BP sixth
16/9.............996.090 Pythagorean minor seventh
17/9.............1101.045 septendecimal major seventh
2/1..............1200.000 octave
19/9.............1293.603 undevicesimal semitone +1 octave
20/9.............1382.404 small ninth
7/3..............1466.871 minimal tenth, BP tenth
22/9.............1547.408 undecimal neutral third +1 octave
23/9.............1624.364 vicesimotertial major third +1 octave
8/3..............1698.045 perfect 11th
25/9.............1768.717 classic augmented eleventh, BP twelfth
26/9.............1836.618 tridecimal diminished fifth +1 octave
3/1..............1901.955 tritave


--
28/27...........<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone</span>


Other useful tritave based intervals: (to be filled in as people see fit)</pre></div>
29/27...........123.721 undetrigesimal augmented semitone
<h4>Original HTML content:</h4>
 
<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;
10/9.............182.404 minor whole tone
&lt;br /&gt;
 
1/1..............0.000 unison, perfect prime &lt;br /&gt;
31/27...........239.171 tricesimoprimal major whole tone
10/9.............182.404 minor whole tone &lt;br /&gt;
 
11/9.............347.408 undecimal neutral third &lt;br /&gt;
32/27...........294.135 <span style="background-color: rgba(255,255,255,0);">Pythagorean minor third</span>
4/3..............498.045 perfect fourth &lt;br /&gt;
 
13/9.............636.618 tridecimal diminished fifth &lt;br /&gt;
11/9.............347.408 lesser undecimal neutral third
14/9.............764.916 septimal minor sixth &lt;br /&gt;
 
5/3..............884.359 major sixth, BP sixth &lt;br /&gt;
34/27...........399.09 quasi-equal tempered major third
16/9.............996.090 Pythagorean minor seventh &lt;br /&gt;
 
17/9.............1101.045 septendecimal major seventh &lt;br /&gt;
35/27...........449.275 5-7 third-fourth
2/1..............1200.000 octave&lt;br /&gt;
 
19/9.............1293.603 undevicesimal semitone +1 octave &lt;br /&gt;
4/3...............498.045 perfect fourth
20/9.............1382.404 small ninth&lt;br /&gt;
 
7/3..............1466.871 minimal tenth, BP tenth&lt;br /&gt;
37/27...........545.479 tricesimoseptimal augmented fourth
22/9.............1547.408 undecimal neutral third +1 octave &lt;br /&gt;
 
23/9.............1624.364 vicesimotertial major third +1 octave &lt;br /&gt;
38/27...........591.648 <span style="background-color: rgba(255,255,255,0);">undevicesimal tritone</span>
8/3..............1698.045 perfect 11th &lt;br /&gt;
 
25/9.............1768.717 classic augmented eleventh, BP twelfth &lt;br /&gt;
13/9.............636.618 tridecimal diminished fifth
26/9.............1836.618 tridecimal diminished fifth +1 octave &lt;br /&gt;
 
3/1..............1901.955 tritave&lt;br /&gt;
40/27...........680.449 classic wolf fifth
&lt;br /&gt;
 
-- &lt;br /&gt;
41/27...........723.197 quadricesimoprimal wolf fifth
&lt;br /&gt;
 
Other useful tritave based intervals: (to be filled in as people see fit)&lt;/body&gt;&lt;/html&gt;</pre></div>
14/9.............764.916 septimal minor sixth
 
43/27...........805.653 quadricesimotertial minor sixth
 
44/27...........845.453 lesser undecimal neutral sixth
 
5/3...............884.359 major sixth, BP sixth
 
46/27...........922.409 <span style="background-color: rgba(255,255,255,0);">vicesimotertial major sixth</span>
 
<span style="background-color: rgba(255,255,255,0);">47/27...........959.642 quadricesimoseptimal sixth-seventh</span>
 
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<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone + 1 octave</span>
 
19/9.............1293.603 undevicesimal semitone +1 octave
 
58/27<span style="background-color: rgba(255,255,255,0);">...........1323.721 undetrigesimal augmented semitone + 1 octave</span>
 
59/27...........1353.307 undesexagesimal neutral ninth
 
20/9.............1382.404 classical major ninth
 
61/27...........1411.020 sexacesimoprimal major ninth
 
<span style="background-color: rgba(255,255,255,0);">62/27...........1439.171 tricesimoprimal maximal ninth</span>
 
7/3...............1466.871 minimal tenth, BP tenth
 
64/27...........1494.135 <span style="background-color: rgba(255,255,255,0);">Pythagorean minor tenth</span>
 
65/27...........1520.976 65th partial minor tenth
 
22/9.............1547.408 lesser undecimal neutral tenth
 
67/27...........1573.442 <span style="background-color: rgba(255,255,255,0);">sexacesimoseptimal perde segah + 1 octave</span>
 
<span style="background-color: rgba(255,255,255,0);">68/27...........1599.09 quasi-equal tempered major tenth</span>
 
23/9.............1624.364 vicesimotertial major tenth
 
70/27...........164<span style="background-color: rgba(255,255,255,0);">9.275 3-5-7 tenth-eleventh</span>
 
<span style="background-color: rgba(255,255,255,0);">71/27...........1673.8315 septuacesimoprimal tenth-eleventh</span>
 
8/3...............1698.045 perfect 11th
 
73/27...........1721.9245 <span style="background-color: rgba(255,255,255,0);">septuacesimotertial wolf eleventh</span>
 
<span style="background-color: rgba(255,255,255,0);">74/27...........1745.479 tricesimoseptimal augmented eleventh</span>
 
25/9.............1768.717 classic augmented eleventh, BP twelfth
 
76/27...........17<span style="background-color: rgba(255,255,255,0);">91.648 undevicesimal tritone + 1 octave</span>
 
<span style="background-color: rgba(255,255,255,0);">77/27...........1814.279 7-11 tritone + 1 octave</span>
 
26/9.............1836.618 tridecimal <span style="background-color: rgba(255,255,255,0);">diminished twelfth</span>
 
79/27...........1858.672 undeoctogesimal <span style="background-color: rgba(255,255,255,0);">diminished twelfth</span>
 
80/27...........18<span style="background-color: rgba(255,255,255,0);">80.449 classic wolf twelfth</span>
 
3/1...............1901.955 tritave
 
--
 
Other useful tritave based [[interval]]s: (to be filled in as people see fit)
 
== See also ==
* [[Pentave Reduced Harmonics]]
* [[List of octave-reduced harmonics]]
 
[[Category:Lists of intervals]]
[[Category:Tritave]]