Re: Suggest me a chorus
The adapter is your problem, the ACA-120 is an old adapter and actually puts out 12V but it's unregulated, as you draw more current, the voltage drops and being unregulated, has quite a bit of noise in it. The old Boss pedals that were made to work with the ACA adapter had a diode in the circuit that dropped the voltage down to 9V before it got to the circuit, it also probably got rid of a lot of the noise. Those old pedals were also analog and drew less than 10mA, probably more like 5mA each.
The ACA is also only rated at 250mA (edit, some are rated 200mA). The Keeley pedal draws less than 65mA (from the instructions), and is probably built to deal with more than 9V although it does call out a 9V adapter.
I couldn't find what the current draw was for the CF7, but I'm sure it is well over 100mA, lots of computer-y stuff going on inside. The digital stuff can also create noise on the power lines and since the ACA is unregulated, the power will get noisier.
FWIW, if the + and - had been reversed, it wouldn't have worked at all, and could have fried the pedal, so that's not the problem.
I always ran the Digitech pedals off of a OneSpot or a Modtone Power Plant with isolated outputs.
Sorry for the long post, but, it's not you, it's your power... I'm guessing if you tried a newer 9V OD/Distortion pedal on the ACA it will be really noisy, especially when it is on.