Also, will never forget water in Switzerland (namely - Chur). Perfect, crisp, cold mountain water. Yumm. The worst water was in American Samoa, smelled like feces.
But I agree Copenhagen's water is fine for drinking. I even like the taste. What it's a problem for is fixtures and appliances, which chalk up extremely fast, even compared to other areas I've lived with hard water. Showers, faucets, etc. all needs to be "de-kalked" at least every week, ideally every few days. Even simply leaving a glass of water out on the counter for one day will start to produce chalk lines that take effort to remove. Keeping an espresso machine operational is also a challenge, requiring pretty religious usage of the cleaning cycle with a de-chalking tablet.
I can imagine that kind of tap water being extremely frustrating. I've been very satisfied with the tap water everywhere I've lived, but it sounds like I'd be a bottled water guy in Copenhagen.
I even think most of our bottled water here is tap water.