A fundamental understanding of nanoscaled materials has become an important challenge for any technical applications. For magnetic nanoparticles, the investigations are in particular stimulated by the magnetic storage devices. In this paper we present a theory of the magnon propagation in a nanometric chain and of the effects of neighbor magnetic clusters. We show that with an appropriate choice of the additional clusters, it is possible to control the transmission spectrum of the magnons. The additional clusters can also create a resonator with zero of transmission. This model could be useful to construct device to transmit or stop the magnon signal.