Didot

Bodoni classification?

How would you classify Bodoni and Didot? What's the narrowest classification? Many sources label them only as modern. Like here:
http://graphicdesign.spokanefalls.edu/tutorials/process/type_basics/mode...

But "modern" is a quite wide classification. Today many new fonts are inspired by Bodoni and to label them all as modern is just blunt.

# Sorry if this question already exists in the forum, but there is no advanced search function so I can't find any matching thread.