Since Darwin (1871), researchers have proposed that musicality evolved in a reproductive context in which males produce music to signal their mate quality. The extent to which evidence supports this contention, however, remains unclear. Related traits in many non-human animals are sexually differentiated, and while some sex differences in human auditory perception have been documented, the pattern of results is murky. Here, we study melodic discrimination, mistuning perception, and beat alignment perception in 360,009 men and 194,291 women from 208 countries. We find that, in contrast to other non-music human traits, and in contrast to non-human traits, there was no overall advantage for either sex, and the observed sex differences were minuscule (Cohen’s d: 0.009 - 0.11) and of inconsistent direction. These results do not provide compelling support for human music perception being a sexually dimorphic trait, and therefore it is unlikely to have been shaped by sexual selection.