Initial enlargement fraction f₀ used in DIAMONDS, as a function of the number of dimensions involved in the inference problem, k. The 37 independent computations shown in the plot (one for each symbol) are performed using a peak-bagging analysis on the test star KIC 12008916 and a number of live points of N_live = 500 (squares) and N_live = 1000 (circles). The color of the symbols indicates the ratio ϵ_corr between the theoretical (Eq. 3) and computed error (the latter obtained from the Bayesian inference performed with DIAMONDS) on the ℓ = 0 mode frequencies involved in the fit. For ϵ_corr = 1 we have perfect agreement between predicted and computed errors. The dashed vertical line delimits a transition to a high-dimensional regime in which the calibration of f₀ becomes more critical and the computed errors can be underestimated with respect to the prediction by more than 30%.