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We introduce a modified version of the disordered Klein-Gordon lattice model,having two parameters for controlling the disorder strength: $D$, whichdetermines the range of the coefficients of the on-site potentials, and $W$,which defines the strength of the nearest-neighbor interactions. We fix $W=4$and investigate how the properties of the system's normal modes change as weapproach its ordered version, i.e. $D\rightarrow 0$. We show that theprobability density distribution of the normal modes' frequencies takes a`U'-shaped profile as $D$ decreases. Furthermore, we use two quantities forestimating the modes' spatial extent, the so-called localization volume $V$(which is related to the mode's second moment) and the mode's participationnumber $P$. We show that both quantities scale as $\propto D^{-2}$ when $D$approaches zero and we numerically verify a proportionality relation betweenthem as $V/P \approx 2.6$.

Properties of normal modes in a modified disordered Klein-Gordon lattice: From disorder to order