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 12:08:01 UTC</tt>.<br>
1/1...............0.000 unison, perfect prime
: The original revision id was <tt>280649016</tt>.<br>
 
: The revision comment was: <tt></tt><br>
28/27...........<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone</span>
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>
29/27...........123.721 undetrigesimal augmented semitone
<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 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 -- Other useful tritave based intervals: (to be filled in as people see fit) </pre></div>
 
<h4>Original HTML content:</h4>
10/9.............182.404 minor whole tone
<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. 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 -- Other useful tritave based intervals: (to be filled in as people see fit)&lt;/body&gt;&lt;/html&gt;</pre></div>
 
31/27...........239.171 tricesimoprimal major whole tone
 
32/27...........294.135 <span style="background-color: rgba(255,255,255,0);">Pythagorean minor third</span>
 
11/9.............347.408 lesser undecimal neutral third
 
34/27...........399.09 quasi-equal tempered major third
 
35/27...........449.275 5-7 third-fourth
 
4/3...............498.045 perfect fourth
 
37/27...........545.479 tricesimoseptimal augmented fourth
 
38/27...........591.648 <span style="background-color: rgba(255,255,255,0);">undevicesimal tritone</span>
 
13/9.............636.618 tridecimal diminished fifth
 
40/27...........680.449 classic wolf fifth
 
41/27...........723.197 quadricesimoprimal wolf fifth
 
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]]

Latest revision as of 10:08, 4 December 2024

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

28/27...........62.961 septimal third tone

29/27...........123.721 undetrigesimal augmented semitone

10/9.............182.404 minor whole tone

31/27...........239.171 tricesimoprimal major whole tone

32/27...........294.135 Pythagorean minor third

11/9.............347.408 lesser undecimal neutral third

34/27...........399.09 quasi-equal tempered major third

35/27...........449.275 5-7 third-fourth

4/3...............498.045 perfect fourth

37/27...........545.479 tricesimoseptimal augmented fourth

38/27...........591.648 undevicesimal tritone

13/9.............636.618 tridecimal diminished fifth

40/27...........680.449 classic wolf fifth

41/27...........723.197 quadricesimoprimal wolf fifth

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 vicesimotertial major sixth

47/27...........959.642 quadricesimoseptimal sixth-seventh

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...........1262.961 septimal third tone + 1 octave

19/9.............1293.603 undevicesimal semitone +1 octave

58/27...........1323.721 undetrigesimal augmented semitone + 1 octave

59/27...........1353.307 undesexagesimal neutral ninth

20/9.............1382.404 classical major ninth

61/27...........1411.020 sexacesimoprimal major ninth

62/27...........1439.171 tricesimoprimal maximal ninth

7/3...............1466.871 minimal tenth, BP tenth

64/27...........1494.135 Pythagorean minor tenth

65/27...........1520.976 65th partial minor tenth

22/9.............1547.408 lesser undecimal neutral tenth

67/27...........1573.442 sexacesimoseptimal perde segah + 1 octave

68/27...........1599.09 quasi-equal tempered major tenth

23/9.............1624.364 vicesimotertial major tenth

70/27...........1649.275 3-5-7 tenth-eleventh

71/27...........1673.8315 septuacesimoprimal tenth-eleventh

8/3...............1698.045 perfect 11th

73/27...........1721.9245 septuacesimotertial wolf eleventh

74/27...........1745.479 tricesimoseptimal augmented eleventh

25/9.............1768.717 classic augmented eleventh, BP twelfth

76/27...........1791.648 undevicesimal tritone + 1 octave

77/27...........1814.279 7-11 tritone + 1 octave

26/9.............1836.618 tridecimal diminished twelfth

79/27...........1858.672 undeoctogesimal diminished twelfth

80/27...........1880.449 classic wolf twelfth

3/1...............1901.955 tritave

--

Other useful tritave based intervals: (to be filled in as people see fit)

See also

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