Explore the intricacies of incommensurate charge density waves in multiband intermetallic systems through this 19-minute conference talk by Daniel Reyes from Instituto Militar de Engenharia, Brazil. Delivered as part of the Workshop on Strong Electron Correlations in Quantum Materials: Inhomogeneities, Frustration, and Topology held from June 20-23, 2023, at ICTP-SAIFR. Delve into the experimental phase diagram, charge density order, and a generalized model with its parameters and matrix form. Examine numerical results, draw conclusions, and address potential areas of confusion in this comprehensive presentation on quantum materials and their complex behaviors.