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Context. OB stars are important building blocks of the Universe, but we haveonly a limited sample of them well understood enough from anasteroseismological point of view to provide feedback on the currentevolutionary models. Our study adds one special case to this sample, with moreobservational constraints than for most of these stars.  Aims. Our goal is to analyse and interpret the pulsational behaviour of theB3 IV star HD 43317 using the CoRoT light curve along with the ground-basedspectroscopy gathered by the Harps instrument. This way we continue our effortsto map the Beta Cep and SPB instability strips.  Methods. We used different techniques to reveal the abundances andfundamental stellar parameters from the newly-obtained high-resolution spectra.We used various time-series analysis tools to explore the nature of variationspresent in the light curve. We calculated the moments and used thepixel-by-pixel method to look for line profile variations in thehigh-resolution spectra.  Results. We find that HD 43317 is a single fast rotator (v_rot ~ 50% v_crit)and hybrid SPB/Beta Cep-type pulsator with Solar metal abundances. We interpretthe variations in photometry and spectroscopy as a result of rotationalmodulation connected to surface inhomogeneities, combined with the presence ofboth g and p mode pulsations. We detect a series of ten consecutive frequencieswith an almost constant period spacing of 6339 s as well as a second shortersequence consisting of seven frequencies with a spacing of 6380 s. The dominantfrequencies fall in the regime of gravito-inertial modes.

Gravito-inertial and pressure modes detected in the B3 IV CoRoT target HD 43317