A microphone system has a package with a top, a bottom, and four sides that at least in part form an interior chamber. One of the sides forms an inlet aperture for communicating the inlet chamber with the exterior environment. The system also has first and second microphone dies, in a stacked relationship, respectively having a first and second diaphragms. A circuit die, positioned in electrical communication with the first and second microphone dies, is configured to mitigate vibrational noise from the first microphone die using a signal produced by the second microphone die or vice versa. The first and second microphone dies are positioned so that the first and second diaphragms are substantially the same distance from the inlet aperture in the side.