What you are talking about is crop factor. It is different than focal length. No matter what camera you put it on a 50mm is a 50mm. Focal length does not change by going to a smaller sized sensor. The characteristics of different focal length lenses are still the same.

What you do get is a crop of the view the lens projects onto the smaller sensor. Basicly you get the sweet spot in the central portion of the lens instead of the full field of view. Some people talk about it being a magnification of the lens. It is not, a magnification, it is a crop of the field of view. You should find that you can enjoy the same lenses in the same way. You may need to take a step or two back to get the same field of view, but if you are looking for a particular characteristic for a particular focal length that will not change.