33/14

33/14 |-1 1 0 -1 1>

1484.447036761 cents

In 11-limit Just Intonation, 33/14 is a subminor tenth of about 1484.4¢. It represents the difference between the 14th and 33rd overtones of the harmonic series and appears in chords such as 8:11:14, the principal triad of Orgone temperament. 33/14 can also function as a Neo-Gothic minor tenth, as it falls between 12/5 and 21/9. Indeed, it is the mediant ratio between those simpler intervals, as it is (12+21)/(5+9). Other relatively simple tenths in this region can be generated by taking the mediant between 12/5 and 33/14 (which is (12+33)/(5+14) = 45/19, about 1492.7¢) and between 33/14 and 21/9 (which is (33+21)/(14+9) = 54/23, about 1477.6¢. Also in this region is the Pythagorean (3-limit) minor tenth of 64/27 (about 1494.1¢), which can be generated by stacking six 2/1 perfect octaves and tritave-reducing.

See: Gallery of Just Intonation Intervals List of root-3rd-P5 triads in JI, The Noble Mediant