Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!

Qenya 

perya-

verb. to divide in middle, halve

A verb in The Etymologies of the 1930s based on the the root ᴹ√PER “divide in middle, halve”, so probably of similar meaning (Ety/PER). It was followed by a form ᴹQ. perina which might be a passive participle (“✱halved”) or an ordinary adjective (“✱half”), as with N. perin “half”.

Neo-Quenya: For purposes of Neo-Quenya, I prefer to use later Q. peresta for “half”, so I assume perina is (in Quenya) a passive participle meaning “halved”.