A word appearing as ᴱQ. patinka “shoe, slipper” in the Qenya Lexicon of the 1910s under the early root ᴱ√PATA¹ with derivatives having to do with rapping, tapping and clatter (QL/72).

Neo-Quenya: In Tolkien’s later writing √PAT seems to have meant “step” or “walk”, but I think ᴺQ. patinca can still be derived from this later sense, perhaps as a combination with the diminutive suffix ✶-inki (= “little-stepper”). However, I would use patinca only for “slipper”, and for “shoe” I would use ᴹQ. hyapat (Ety/SKYAP).