2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126957A model for ac-driven systems, based on the Tang-Wiesenfeld-Bak-Coppersmith-Littlewood automaton for an elastic medium, exhibits mode-locked steps with frequencies that are irrational multiples of the drive frequency, when the pinning is spatially quasiperiodic. Detailed numerical evidence is presented for the large-system-size convergence of such a mode-locked step. The irrational mode locking is stable to small thermal noise and weak disorder. Continuous time models with irrational mode locking and possible experimental realizations are discussed.4 pages, 3 figures, 1 table; revision: 2 figures modified, reference added, minor clarificationsSoft Condensed MatterSuperconductivitytext