I think you've misunderstood what Corbett has said.
If you set a 23 hour append period as suggested to your media set, when the job starts at say 21:00, the backup selects tape 1 for the backup, and the clock starts on the append period. When the second job starts because it has been more than 23 hours since the previous nights backups ran, and append periods have expired on all the tapes EXCEPT tape 1, it can only use that tape, and so it continues through the night. The next night the backup chooses another tape for the first backup, and continues to use that one for all the backups, since the append period from the previous night has expired already.