And "tun" (enclosure, in Swedish the word means the space between farmhouses on a farm) is the root of the english word "town".
The Scandinavian usage of tun is akin to a courtyard, or the open space between a (small and fenced in) collection of houses. Again a courtyard can be traced to Middle Lower German hof, and even onwards to Proto-Germanic hufą, which is cognate with the Scandinavian word for head. And indeed if you want to say "the main part" in Danish or Norwegian you'd say hoveddelen. Hoff additionally means a royal court in Norwegian. On the other hand, the easiest cognate of this word in English is probably that of a horse hoof, which makes sense because such a tun is usually a stamped hard by both humans and their cattle.
I second the recommendation of the History of English. It is a fascinating podcast.
> barn (n.): "covered building for the storage of farm produce," Old English bereærn "barn," literally "barley house," from bere "barley" (see barley) + aern "house," metathesized from rann, rasn (source also of Old Norse rann "large house," Gothic razn "house," Old English rest "resting place"). For the formation, compare Old English sealtærn "saltworks," horsern "stable." In Anglo-Saxon England, barley was a primary grain crop. Barley was not always the only crop grown as the data recovered at Bishopstone might suggest but it is always the most commonly represented, followed by wheat and then rye and oats. [C.J. Arnold, "An Archaeology of the Early Anglo-Saxon Kingdoms," 1988, p.36]
> Another word for "barn" in Old English was beretun, "barley enclosure" (from tun "enclosure, house"), which accounts for the many Barton place names on the English map, and the common surname. Applied from early 18c. to any large, barn-like building. Barn door has been used figuratively for "broad target" since 1670s and "great size" since 1540s. Barn-owl attested by 1670s. Barn-raising "a collective effort by neighbors or community members to erect the frame of a barn for one of them, accompanied by a social gathering" is attested by 1849.
https://www.etymonline.com/word/barn
You might also like The History of English Podcast; I highly recommend it: https://historyofenglishpodcast.com/