I don't know, but it's pretty. You don't have any ideas about cleaning it, do you? If you do, just sit the coin down and back away from it! Then as you are looking at coins, you'll come across something that jogs your memory. It may be a clue.
No thoughts about cleaning it yet. A light brushing (toothbrush) hasn't dislodged any green powder, so I am not worried about BD. I'd still like an idea of what I have, though?
That "reverse" is starting to look like something to me this morning when I rotate it 90 degrees clockwise. Sort of looks like two similar figures or sides of a structure and then that thing on the left side starts to look like a figure holding something over its head. The other side looks like a profile looking left...sort of. When you flip the "obverse" over and upside down, what is the orientation of the "reverse"? Does it end up as I described with a 90 degree clockwise rotation from how reverse is shown in your photo? (hope this was clear. Only had one cup of coffee and that was hours ago.)
I can’t identify it but I can describe it. It seems to be made of copper with a brassy color and red patina. The obverse shows a head facing right. The hair seems to be in a sakkos. There is an inscription to the left of the head that includes A or Lambda. The reverse shows two words within some kind of wreath made up of two vines. The reverse is in a circular incuse (which is very unusual on genuine bronze coins.)
@Ed Snible - Wreath. Yes, or a vine because it only looks like two threads to it? I see that on both sides of what you are calling two words. And I see something that feels like mirror-imagine at the 'beginning' of those words. But you see the head on the 'obverse' looking right? Hmmm. I'll look at it again. I like the coin.
To me the coin looks a great deal like https://www.acsearch.info/search.html?id=3048698 except with a two word inscription instead of a rabbit. On the reverse the branches of vines join at the bottom in the same way these wreath join at the left https://www.acsearch.info/search.html?id=4109377 and https://www.acsearch.info/search.html?id=2711691
@Ed Snible and @LaCointessa Thank-you for your comments. Ed, I feel that you are so close. I like your suggested coins, but there is no 'rabbit' on my coin. Perhaps from the same place/time? The coin is 16.3 mm., and weighs 4.56 gm. It is rather thick at 3.4 mm. In hand, the metal has more of the shiny yellow colour of gold (but is not) than the 'reddish' hue of copper. The 'obverse' appears to have the bust of a woman, with her hair tied up, facing right, off centre in the lower right quadrant. (Edit - And has letters behind head which may be "K M ?") The 'reverse appears to have two lines of letters (which could be "CHL" (or similar) over "MYAI" or "MYAK" in a 'vine' wreath, with the vine twisted at the bottom and the 'laurel' leaves travelling around the edge. I am hoping that this description may help.
What if those 'wreaths' are snakes going around? I do not see any wreaths of two rows. Those things look like really long spermatozoa. Not to be gross, but they make highly stylized appearances in some of my artwork. It's one of G-d's really great designs especially for locomotion. After all, who is the best engineer? Well, I digress. So I started thinking 'snakes.' And something makes me want to turn the coin 90 degrees to the right even more than before. When I do, those two rows of 'letters or words' start looking to me like torches or sticks with a snake on each. I don't think they are caduceus (is that plural?) because I do not see wings. Rods of Asclepius? Could the coin be from Judea showing the pole Moses erected in the camp that had a bronze snake on it? Here's a link to something with snakes: http://www.ancientimports.com/cgi-bin/lotinfo.pl?id=25872
Upon even closer examination, (in hand), because the woman in the 'obverse' side of the coin seems to be wearing a crown or tiara similar to the one customarily worn by Tyche, I believe that she may be Tyche. (EDIT) Perhaps similar to Ancient Greek. Ionia, Smyrna (2nd Century BC)
Can we see this in it? PHOKIS Federal Coinage, circa 354-352 B.C. AE 16mm, 4.21gm., Onymarchos, magistrate. SNG Cop.131 See also