Perhaps I'm having difficulty communicating, there seems to be a rash of people misunderstanding what I say. I'll stick with my original statement: "Vinyl IS the equivalent of MP3. Vinyl is inherently a lossy system." As mp3 does not have the technical capabilities of wav which is at least in theory adequate for recording all music to the limits of resolution and range of human hearing in both frequency and amplitude, vinyl does not have the technical capabilities of the master analog tape from which it was made. BTW the master tape recorder does not have adequate capabilities for recording all music without a lot of help, not just massive equalization but Dolby A and in extreme cases peak limiting. So vinyl is a loss from the master tape signal just as mp3 is a loss from the wav file. There are lossless recordings on vinyl and those are direct to disc but they are not only few and far between, they still have all of the same technical limitations inherent in vinyl.
Here's a question, could you burn a cd that is audibly indistinguishable from any vinyl played on any phonograph with consumer grade CD equipment? How about with laboratory grade CD equipment? My hunch is that with consumer grade equipment you could come awfully close, in lab conditions it could be made indistinguishable with RBCD techology. Can you do the reverse, make a vinyl that is indistinguishable from any arbitrary CD? Not a snowball's chance in hell.