Posterior distributions of the thread length (L_p/L) and the density contrast (ρ_p/ρ_c) for several values of the period ratio (P₁/2P₂) with an associated uncertainty of 10%. Top panels correspond to using Eq. (17) with L_p/L ∈ [0, 1] and ρ_p/ρ_c ∈ [1.1, 100]. Bottom panels: results of considering short thread limit using the same equation as top panels with L_p/L ∈ [0, 0.1] and ρ_p/ρ_c ∈ [1.1, 300].