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As the timing of the whole thing is determined by the relation of that capacitor and the resistor, the three times bigger cap will need (as you already found out) a smaller resistor. This works the same in other direction. There is also a limit how high/low values one can use but the right values can usually be found with some trial and error.
You can calculate the value of the time base for RC circuit with the following formula:
t=time-out time(sec), C=Capacity(F), R=Resistance(ohm)
For example 100Kohm resistor and 30uf capacitor like I used in my article would result to a time of 3.3 seconds. This is not an exact value by no means but should give you some indication on how the value of the resistor can capacitor are linked together.
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