Thanks, but that didn't help much. I want to know why I should choose a particular capacitor and why. For these LED projects, the snowflakes will have up to 24 LEDs. That flag is super ambitious and may not be feasible as I envision it. I am sure hoping I can pull it off. Anyway, the timer circuit, as I understand it, just serves to make the 4017s advance. It isn't driving anything but a 4017 counter advance. I suppose even the smallest capacitor would suffice for that. I don't think there were any capacitors in the cascaded 4017s circuit. I don't see a need for them. Not even for the pulsing of the LEDs in a "random" fashion as I envision it. I'll get something drawn up for everyone's review (and hopefully only constructive criticism) soon. I have a lot going on right now and progress is slow. I sure do appreciate the responses.The value depends on the application.
You just haven't seen enough circuits. I've used caps ranging from 1uF to 470uF. Electrolytic capacitors typically have a wide tolerance which will affect timing. With large electrolytic capacitors, you also need to factor in leakage current.
National Semiconductor included this graph in their datasheet:
View attachment 260457
It only goes up to 100uF, but larger caps can be used.