were Schwaben (Swabia, mainly the present-day German state of Baden-Württemberg), Bayern (Bavaria), and Sachsen (Saxony) in pre-Carolingian times, to which Franken (Franconia, at present the northern part of the German state of Bavaria) and Lothringen (Lorraine, nowadays mostly part of France) were added in post-Carolingian times. As mentioned above, such a duke was styled Herzog (literally "the one who is leading [the troops]").

In medieval England, duchies associated with the territories of Lancashire