As Joe just mentioned,
denominations is a very challenging one! In fact, that can probably one of the most "expert" level topics in Roman Imperial coins. (I'm far from expert myself, but I do enjoy seeing what the actual experts collect!) Also very interesting, because it leads into questions about the economic
history of Empire.
Frequently we don't know what the
denominations were called or -- more importantly -- where the lines were drawn between them. (So, it can even be difficult to say how many
denominations there were at any given moment, and scholars may debate about whether two
types are really the same, or when they became different, and so on.)
It was a common practice in the ancient world (beginning with the Persians &
Greeks) to refer to a
denomination by the ruler who struck the coin (since purity and
weight varied over time). So a "
Nero" (
Denarius) might not be as a
good as an "
Augustus" (
Denarius). Or, hundreds of years earlier, "Philippeioi" or "Philipeids" (
Philip II of Macedon, Silver Tetradrachms) would be worth significantly less than "Alexanders" (III Tetradrachms) -- but the Gold Philips and Gold Alexanders (AV Staters) were usually approximately equal!
If I were doing
denominations, I would start with (1) a specific reign, dynasty or period; and (2) one of the major references, like RIC or
ERIC II, and follow their definitions of the different
denominations.
I would think the system of
denominations is simplest early on (e.g.,
Augustus through
Claudius). But the periods of chaos can be really interesting, too. I've seen fun
collections based entirely on a single
denomination like the
Antoninianus (from
Caracalla through about
Diocletian, including the "Aurelianus" after c. 274).
Or the various bronze
denominations we call "
Follis," from
the Tetrarchy through at least
Constantine (or far beyond, if you consider the
Byzantine ones the same thing). One of the things I found interesting about the DiMarzio
Londinium Collection [LINK], or
Victor C's (ConstantineTheGreatCoins.com
[LINK] ), is to see all the reforms/revisions over time, and how they can be defined and recognized (e.g., how many coins to a Libra / Roman pound, or size of the dies measured by the "pearl-ring
diameter").