  We address the natural question: as noncommutative solenoids are inductive
limits of quantum tori, do the standard spectral triples on quantum tori
converge to some spectral triple on noncommutative solenoid for the spectral
propinquity? We answer this question by showing that, using appropriate bounded
perturbation of the spectral triples on quantum tori, such a spectral triple on
noncommutative solenoid can be constructed.
