4/3 is the frequency ratio of the just perfect fourth, which is easily one of the more heavily discussed intervals outside of xenharmony- in fact, some of these usages have gone on to inspire other music theories within xenharmonic contexts, such as certain ideas about tetrachords. As its inversion is the perfect fifth, 3/2, 4/3 is the octave reduced form of the third subharmonic. In the florid organum of Medieval music, 4/3 was reliably considered a consonance, and indeed was frequently emphasized. Once major thirds with a tuning approximating 5/4 began to be treated as consonances, however, the perception of 4/3 was altered to where it was at times considered a dissonance. However, as of late, the perfect fourth is once again being reevaluated as a consonance.
Approximations by EDOs
|↕||Equally acceptable multiples |
|41||17\41||0.4840||1.6537||↓||34\82, 51\123, 68\164|
- error magnitude below 7, both, absolute (in ¢) and relative (in r¢)
- Super EDOs up to 200 within the same error tolerance