  We prove that noncommutative solenoids are limits, in the sense of the
Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove
that noncommutative solenoids can be approximated by finite dimensional quantum
compact metric spaces, and that they form a continuous family of quantum
compact metric spaces over the space of multipliers of the solenoid, properly
metrized.
