Plucked today out of the "junk" solver bin, dated 1315. I take it to be from the Qajar dynasty (specifically the reign of Muzaffar al-Din Shah), so the date would in that case convert to 1898. I was thinking it was a ¼ Qiran (Kran) but at 15.3 mm in diameter with a weight of 1.24 grams, it's just slightly larger and heavier than one of those ought to be. More troubling is that I also can't match the reverse to any photo I can find.
That would not be from the Qajar dynasty, but rather from the Pahlavi dynasty. Looking at different coins from both dynasties, it seems like there was a change in the calendar, so I understand your confusion. During the Qajar dynasty, 1315 in the Islamic calendar was around 1898 in the Gregorian calendar; however, during the Pahlavi dynasty, 1315 in the Persian calendar was around 1936 in the Gregorian calendar. The 1/4 rial coin from the latter dynasty seems to match the dimensions of your coin pretty well, as does its overall appearance.
I was aware of the date repetition, and had in fact on that basis also checked Pahlavi dynasty issues but didn't spot a match. Obviously, I just plain missed it, and I concur that the ¼ Rial from 1936 is what I have.
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