Period distribution of binaries with well-constrained orbits in 47 Tuc (shown in blue). The dotted line represents the subset of binaries with MS primaries. For comparison, the orange lines depict the period distributions of hypothetically detectable binaries from the CMC simulation (stellar types as shown in Fig. 7), with the dashed line indicating the subset of simulated MS-MS binaries. The red curve illustrates the predicted observable distribution assuming an underlying field-like period distribution with $\overline{\log P}\approx 5.0$ and standard deviation σ_{log P} ≈ 2.3. It is scaled to the number of well-constrained MUSE binaries. For CMC and field binaries, we have forward-modeled our selection function to account for decreasing sensitivity at longer periods. The underlying period distributions of field and CMC binaries are shown for reference in the right-hand panel.