Are sins discrete events only, or can they also be of a continuous, on-going nature?

This has implications for how we have to repent of sin, and may have more serious repercussions that I haven't thought of. Discrete cases of sin seem obvious, as when we break a clear command with a single act or decision. But can we also sin in an on-going manner, such that guilt accrues to us continuously over time? This latter case is not as clear, but the following simple argument may make it equally clear: Is it a sin to not exhibit a Christian virtue (humility, generosity, etc.) to its fullest? Since none of us mere mortals ever do that, we are therefore sinning the entire time we are in the less than ideal state. We are therefore indeed accruing sin guilt every second of every day. Can it be argued that sins are only discrete?