We measure the metallicities of 374 red giant branch (RGB) stars in the isolated, quenched dwarf galaxy Tucana using Hubble Space Telescope (HST) narrow-band (F395N) Calcium H & K (CaHK) imaging. Our sample is a factor of larger than what is published. Our main findings are: (i) A global metallicity distribution function (MDF) with and ; (ii) A metallicity gradient of dex ( dex kpc) over the extent of our imaging (), which is steeper than literature measurements. Our finding is consistent with predicted gradients from the publicly-available FIRE-2 simulations, in which bursty star formation creates stellar population gradients and dark matter cores; (iii) Tucana’s bifurcated RGB has distinct metallicities: a blue RGB with and , and a red RGB with and ; (iv) At fixed stellar mass, Tucana is more MR than MW satellites by dex, but its blue RGB is chemically comparable to the satellites. Tucana’s MDF appears consistent with star-forming isolated dwarfs, though MDFs of the latter are not as well-populated; (v) % of Tucana’s stars have and 20% . We provide a catalog for community spectroscopic follow-up.

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