Metamaterials are engineered devices designed to exhibit tailored properties that are often not found in conventional materials. This contribution focuses on periodic microstructured chiral metafilters, which exploit complex discrete unit cells arranged in lattice-type architectures that yield a multiband, band-structured spectral response. Within this framework, band gaps can be introduced by integrating dedicated elements such as inertial resonators. The spectral response can be manipulated through passive and active strategies, including shunted piezoelectric circuits and adaptive control logics such as PID controllers driven by displacement feedback. To model these complex systems in a compact yet accurate way, this work proposes a convergent, spectrally consistent multiband continualization valid across the entire irreducible Brillouin zone, with improved accuracy for dispersive phenomena near Brillouin-zone edges.