Late to the party here, but if touching the cable introduces noise no matter which software you run, maybe you have a ground loop problem or a really poorly shielded cable. You might try a different, decent quality cable. If that doesn't make a difference try connecting the cases of the Scarlett and the computer. It might be enough to set the Scarlett on the computer case.
Thanks, yes it happens in all environments. But this specific model (2i2) is notorious for having a poor USB port but I don't think all of them are afflicted with the issue.
I was using the cable that comes with it, but I could try a spare. Good idea on touching the cases too. Right now they are apart. I didn't even think about it being related to that.