Most single phase dual voltage motors are simply made with two Main windings that are put in series for the higher voltage and parallel for the lower. When the dual voltage is 120/240V, that is simple and useful. But if someone wanted a motor TRUELY designed to operate at 208V, then indirectly, the lower voltage will end up as 104V. The lower voltage rating is not useful for anything though (outside of parts of Japan maybe...)
What MOST motor mfrs do however is to just design the windings such that the 230V setup is OK down to 208V.