A majority of Alexandrian tets seem to be of a rather generic nature, mostly with an eagle, otherwise with "someone standing" and occassionally a profile of Zeus. One of the more unusual reverse types appear to be the consecration altar. These are very common for Imperial issues, such as the Claudius II issues that are almost more numerous than the rest of his issues combined. I picked up this Deo Carus tet with a neat consecration altar reverse. Obv: DEW KAPW/CEB. I'm not sure if using a single letter C for the end of KAROC and beginning of CEB is intentional, but it's neat. Rev: A(PH)IEPWCIC. I'm not sure what this is supposed to mean, and google is no help. Could it be something along the lines of "apotheosis?"
There's a musical composition called Aphierosis, translated as 'Dedication'. Fits nicely with your altar. Aphierosis (dedication) By Theodore Antoniou - Score Sheet Music For - Buy Print Music S5.SR1068 | Sheet Music Plus
In two places online I found a notation that "AΦIЄPⲰCIC" = Consecratio. BTW: I believe your coin is Emmett 3995 & Milne 4733.
cool! found a different composition on Youtube https://www.cointalk.com/threads/deo-carus-tetradrachm.388343/#post-7976612 Greek guitar music is something I've never heard before. Pretty cool stuff
Good sleuthing. Best I could find is "apheresis," which has rather nothing to do with the situation at hand
The song I linked to is on Spotify. I don't know how to link that, though... Either way, you're reverse mystery is solved.
It is a grammar thing. The legend reads "(dedicated) to the divine Carus" in the dative rather than the usual nominative "Carus" as found on regular, lifetime coins. The first letter is a theta with the Greek being closer to 'god' than the Latin Divus would be. This also comes with an Eagle. To me, the oddball one is Antoninus Pius with nominative on the obverse but dative DIVO PIO on the reverse.