List of tritave reduced harmonics

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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...........<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone</span>
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 <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 intervals: (to be filled in as people see fit)

Original HTML content:

<html><head><title>Tritave Reduced Harmonics</title></head><body>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.<br />
<br />
1/1...............0.000 unison, perfect prime<br />
28/27...........<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone</span><br />
29/27...........123.721 undetrigesimal augmented semitone<br />
10/9.............182.404 minor whole tone<br />
31/27...........239.171 tricesimoprimal major whole tone<br />
32/27...........294.135 <span style="background-color: rgba(255,255,255,0);">Pythagorean minor third</span><br />
11/9.............347.408 lesser undecimal neutral third<br />
34/27...........399.09 quasi-equal tempered major third<br />
35/27...........449.275 5-7 third-fourth<br />
4/3...............498.045 perfect fourth<br />
37/27...........545.479 tricesimoseptimal augmented fourth<br />
38/27...........591.648 <span style="background-color: rgba(255,255,255,0);">undevicesimal tritone</span><br />
13/9.............636.618 tridecimal diminished fifth<br />
40/27...........680.449 classic wolf fifth<br />
41/27...........723.197 quadricesimoprimal wolf fifth<br />
14/9.............764.916 septimal minor sixth<br />
43/27...........805.653 quadricesimotertial minor sixth<br />
44/27...........845.453 lesser undecimal neutral sixth<br />
5/3...............884.359 major sixth, BP sixth<br />
46/27...........922.409 <span style="background-color: rgba(255,255,255,0);">vicesimotertial major sixth</span><br />
<span style="background-color: rgba(255,255,255,0);">47/27...........959.642 quadricesimoseptimal sixth-seventh</span><br />
16/9.............996.090 Pythagorean minor seventh<br />
49/27...........1031.787 septimal augmented minor seventh<br />
50/27...........1066.762 octave minus major limma<br />
17/9.............1101.045 septendecimal major seventh<br />
52/27...........1134.663 octave minus 26th partial chroma<br />
53/27...........1167.6395 octave minus quincesimotertial diesis<br />
2/1...............1200.000 octave<br />
55/27...........1231.767 55th partial chroma + 1 octave<br />
56/27...........12<span style="background-color: rgba(255,255,255,0);">62.961 septimal third tone + 1 octave</span><br />
19/9.............1293.603 undevicesimal semitone +1 octave<br />
58/27<span style="background-color: rgba(255,255,255,0);">...........1323.721 undetrigesimal augmented semitone + 1 octave</span><br />
59/27...........1353.307 undesexagesimal neutral ninth<br />
20/9.............1382.404 classical major ninth<br />
61/27...........1411.020 sexacesimoprimal major ninth<br />
<span style="background-color: rgba(255,255,255,0);">62/27...........1439.171 tricesimoprimal maximal ninth</span><br />
7/3...............1466.871 minimal tenth, BP tenth<br />
64/27...........1494.135 <span style="background-color: rgba(255,255,255,0);">Pythagorean minor tenth</span><br />
65/27...........1520.976 65th partial minor tenth<br />
22/9.............1547.408 lesser undecimal neutral tenth<br />
67/27...........1573.442 <span style="background-color: rgba(255,255,255,0);">sexacesimoseptimal perde segah + 1 octave</span><br />
<span style="background-color: rgba(255,255,255,0);">68/27...........1599.09 quasi-equal tempered major tenth</span><br />
23/9.............1624.364 vicesimotertial major tenth<br />
70/27...........164<span style="background-color: rgba(255,255,255,0);">9.275 3-5-7 tenth-eleventh</span><br />
<span style="background-color: rgba(255,255,255,0);">71/27...........1673.8315 septuacesimoprimal tenth-eleventh</span><br />
8/3...............1698.045 perfect 11th<br />
73/27...........1721.9245 <span style="background-color: rgba(255,255,255,0);">septuacesimotertial wolf eleventh</span><br />
<span style="background-color: rgba(255,255,255,0);">74/27...........1745.479 tricesimoseptimal augmented eleventh</span><br />
25/9.............1768.717 classic augmented eleventh, BP twelfth<br />
76/27...........17<span style="background-color: rgba(255,255,255,0);">91.648 undevicesimal tritone + 1 octave</span><br />
<span style="background-color: rgba(255,255,255,0);">77/27...........1814.279 7-11 tritone + 1 octave</span><br />
26/9.............1836.618 tridecimal <span style="background-color: rgba(255,255,255,0);">diminished twelfth</span><br />
79/27...........1858.672 undeoctogesimal <span style="background-color: rgba(255,255,255,0);">diminished twelfth</span><br />
80/27...........18<span style="background-color: rgba(255,255,255,0);">80.449 classic wolf twelfth</span><br />
3/1...............1901.955 tritave<br />
<br />
--<br />
<br />
Other useful tritave based intervals: (to be filled in as people see fit)</body></html>
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