Both gnu and bsd tar do multi-volume sets, with or without ("tape") labels.
A file can even span multiple volumes (and you can set the volume size in "tape blocks" for each volume).
It may seem strange to have an IBM format tape label in the header of an archive file, but that is what you get.
(It was the most widely supported label format back when tar was being developed.)
At least with an archive file (instead of a physical reel) you don't have problems with someone putting the wrong (or a blank) seal ring on the reel, nor having the glue dry up on the external reel label and you have to guess which of the dried up labels in the bottom of the tape cabinet belong on the reel in your hand.
Ah, what fun it was, 20th. century computing.