A three axis sensor including a substantially planar vibrator resonator or having a substantially ring or hoop like structure with inner and outer peripheries e tending around a common axis, drive means for causing the resonator to vibrate in an in lane cos 2θ vibration mode, carrier mode pick-off means for sensing movement of the resonator in response to said drive means, pick-off means for sensing in plane sin 2θ resonator motion induced by rotation about the z-axis, drive means for nulling said motion, pick-off means for sensing out of plane sin 3θ resonator motion induced by rotation about the x-axis, drive means for nulling said motion, pick-off means for sensing out of plane cos 3θ resonator motion induced by rotation about the y-axis, drive means for nulling said motion, and support means for flexibly supporting the resonator and for allowing the resonator to vibrate relative to the support means in response to the drive means and to applied rotations, wherein the support means comprises only L support beams, where L≠2J×3K and J=0, 1 or 2 and K=0 or 1 with L