Abstract: A dynamically tuned gyroscope having a single gimbal has torsion flexures with torsional stiffnesses such that, at its tuned speed, the gyroscope is insensitive to angular vibration at a frequency of twice the rotor rotational speed. The drive shaft is connected to a first torsion flexure having an effective torsional stiffness K.sub.1 of zero, K.sub.1 being made zero by the use of ball races or pivots, by known mechanical methods such as over-center or toggle spring action, or by the use of magnetic or electrostatic systems. The rotor is connected to a second torsion flexure which is orthogonal to the first flexure. The second torsion flexure has a torsional stiffness K.sub.2 equal to 4w.sup.2 r.sub.3.sup.2 m.sub.3 where w is the tuned rotor speed, m.sub.3 is the component mass of a gimbal, on which the torsion flexures are mounted, on an axis through the center of gravity of the gimbal and normal to the plane of the gimbal, and r.sub.3 is the distance of the component mass m.sub.