If you suspect line-noise, plug a noisy device into the socket next to the 
suspect clock and turn it on/off rapidly for a few minutes to see if the 
clock gains time. If your clock is susceptible to line-noise, it will gain 
time. I found that my Weller WTCPN soldering station is REALLY noisy; far 
more noise than my circular saw or garage vac.

My first-generation nixie-tube clocks use the 60Hz line signal for keeping 
time. I have 2 stages of low-pass filtering. The first-stage is for 
high-frequency/high-energy noise on the AC line, right where the AC line 
comes onto the PC board. The second-stage is a simple RC filter for the 
60Hz reference signal to the CMOS counters with a cutoff frequency around 
300Hz. Incidentally, my clock uses 4000-series CMOS gates, running at 
10VDC. It has no transformer, and the "ground" of the clock is tied 
directly to the AC line. Yes, it's perfectly safe to run a CMOS gate tied 
directly to the AC line; no worries of surges, ESD, noise, etc because the 
other side of the AC line is well-protected and filtered.

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