I have two 10 K pots wired in parallel, CW to CW and CCW to CCW across a 4.5VDC P/S. The wipers go to b.4 and b.5 (configured as ADC input pins) on a Picaxe 14M2 controller chip. I find that the pots are extremely interactive. When I change either pot up or down, it causes the function controlled by the other pot to change as well as its own, and vice versa. I have used this configuration in the past and never noticed this interaction - that doesn't mean that it wasn't happening, I just have never seen this.
