shape, fashion
Quenya
cat-
verb. to shape, fashion
cat-
verb. shape
mëoi
cat
mëoi noun "cat", a somewhat strange word by the standards of Tolkien's later Quenya (there are no other instances of final -oi in the singular). Some would read *mëo, if the word is to be used in LotR-style Quenya. Vardo Mëoita "Prince of Cats"; mëoita here seems to be a kind of adjective rather than a genitive (LT2:348). Tolkiens later, less problematic word yaulë may be preferred by writers (PE16:132)
yaulë
cat
yaulë noun "cat" (PE16:132). Compare mëoi.
miura
noun. cat
miuro
noun. cat
miurë
noun. cat
canta
shape
canta (2) _("k") noun"shape" (PE17:175), also used as adj._ "shaped", also as quasi-suffix -canta ("k") "-shaped" (KAT)
venië
shape, cut
venië noun? "shape, cut" (LT1:254)
venwë
shape, cut
venwë noun? "shape, cut" (LT1:254)
The verb cat- “shape, fashion” appeared in the second version of Tengwesta Qenderinwa (TQ2) from around 1950 as a derivative of √KAT of similar meaning (PE18/90). The Etymologies of the 1930s had ᴹQ. kanta- under the root ᴹ√KAT “shape, make” (Ety/KAT). This second verb was likely based on the noun canta “shape” used as a weak verb.
Neo-Quenya: For purposes of Neo-Quenya, I would assume these two verbs can coexist. I would use cat- largely for shaping or fashioning something new (thus more or less = “to make”), while I would use canta- for shaping or reshaping something that already exists, either concrete or abstract as in “shape their beliefs” = canta savientar.