NRT-CPH = 5,427 miles
NRT-ICN-SIN-DXB-VIE-CPH = 10,454 miles
Go figure!
I suspect NRT-SIN-FRA-CPH may be excpetable based on what people have reported in the redemptions thread, but going via Dubai is way off course.
Essentially, you could do this itinerary in one stop in Asia or one stop in Europe. Wanting to do it in five flights is asking a little too much.