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Could you explain this in greater detail? This way of using "modulo" bothers me significantly, and I think it's because I either don't know about one of the ways "modulo" is used in math, or I have an insufficiently deep understanding of the one way I do know that it's used.
In modulo arithmetic, adding or subtracting the base does not change the value. Thus, 12 modulo 9 is the same as 3 modulo 9. Thus, for example, "my iPhone is working great modulo the Wifi connection" implies that if you can subtract the base ("the Wifi connection") you can transform a description of the current state of my iPhone into "working great".
(For your amusement: modulo in the Jargon File. Epsilon is there too.)
Edit: Actually, in this case, you would have to add the base, because my Wifi isn't working, but the statement remains the same.