I think fractions shouldn't be named anything. It would just cause another, unnecessary layer of confusion for no reason.
Ethereum's unit scheme (wei, kwei, ada, femtoether, mwei, babbage, picoether, gwei, shannon, nanoether, nano, szabo, microether, micro, finney, milliether, milli, ether, kether, grand, einstein, mether, gether, tether,
source) is retarded enough along with 'gas'.
Additional names for different units/fractions provide no benefit at all, just confusion.