The present invention is related to the housing (60) of an exhaust turbine (32) of a turbocharger comprising a first volute (61) and a second volute (62), each of the volutes (61,62) ending in respective first and second guide tongues (64,66). The gap between the first guide tongue (64) and turbine wheel is smaller than the gap between the second guide tongue (66) and turbine wheel. This tongue asymmetry allows for control of the pulse amplitude emitted when a blade of the turbine wheel passes by each respective tongue. Moreover, by increasing the wheel-to-tongue distance of only the second guide tongue (66) durability requirements can be met.