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We propose and experimentally demonstrate a scheme which effects hyperfineaveraging during a Ramsey interrogation of a clock transition. The methodeliminates the need to average over multiple optical transitions, reduces thesensitivity of the clock to its environment, and reduces inhomogeneousbroadening in a multi-ion clock. The method is compatible with auto-balancedRamsey spectroscopy, which facilitates elimination of residual shifts due toimperfect implementation and ac Stark shifts from the optical probe. Wedemonstrate the scheme using correlation spectroscopy of the $^1S_0$-to-$^3D_1$clock transition in a three-ion Lu+ clock. From the demonstration we are ableto provide a measurement of the $^3D_1$ quadrupole moment,$\Theta(^3D_1)=0.634(9)ea_0^2$.

Hyperfine averaging by dynamic decoupling in a multi-ion lutetium clock