Originally Posted By: calvin1
Is there any chance of grafting in two diodes to get the other half of the cycle?
EDIT: or maybe a cap to fill the space a little?
It depends on how they are wired together. Each diode usually drop 0.7-1.2V (depends on what material it is), and if you wire 100-170 of them in series, you would not need any transformer. If they have a parallel but opposite direction series of LED string together, then either one or the other will be on at 60Hz.
If this is the case, putting a capacitor or making the supply source DC will make 1 of the string on 100% of the time, and the other string will never turn on. If this is the case, there is nothing you can do to reduce the flicker, unless you use something like a function generator to make them switch VERY fast. Function generator is very expensive and I'd imagine it is not worth the effort for holiday decoration for the electricity saved compare to regular bulbs.