>Analog media does have it's own "data points" as well. The size of the magnetic particles on tape or the size of vinyl that is required to still be strong enough to not break when in contact with the stylus. It's harder to measure but it's there.

Do you know if it tends to be more or less information than a digital transfer of the same material on CD?

Half-baked thought: I wonder if there is any audible characteristic to regularity/irregularity of information density on a media. Like I assume CDs would be very regular, where as tape may actually be inconsistent in this respect.