Hold the switch, then release to start the oscillator.
I figured a thing out!
Assuming that all relevant LCOs are supplied with the same voltage for the same amount of time, where Vⁿ is the voltage at the output node of LCO n, Cⁿ is its capacitance, Lⁿis its inductance, and Fⁿ is its oscillation frequency:
Fⁿ ∝ √( Lⁿ × Cⁿ )
Also, where F¹ = F²:
C¹
V² = — × V¹
C²