List of tritave reduced harmonics

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

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

See also

• Pentave Reduced Harmonics
• List of octave-reduced harmonics