The mutual interaction of three different defects in photonic crystals is studied theoretically. A theoretical model based on the classical wave analogue of the tight-binding (TB) picture is applied to the structure. We obtain analytic expressions for the eigenfrequencies and eigenmodes, from which the transmissions at resonance are derived. Based on this, a new type of the photonic quantum-well structure is investigated and its possible application is discussed. The TB predictions are compared with the transfer matrix method simulation results.