iTunes does not backup your music in a backup. Nor your apps, or iBooks, or any iStore content. This content only gets copied to the computer as synced files, or directly from the iTunes Store.
It may sync those files between the computer and iPad, depending on your settings, but they are not part of the actual backup file.
I used to have a nice Apple support link of what was in a backup, but it no longer appears to be valid. But basically, a backup contains your iPad's settings, the camera roll, contents of apps that have backups enabled, and a kind of list of apps are installed on your iPad, so that they will be automatically re-installed if you restore from a backup. The apps themselves will be pulled from your iTunes Apple library, or directly from the iTunes Store, depending on stuff.
There are probably a few things that I am missing, but your actual apps, music, books, etc. are not in the backup file.
iCloud backups are similar, which is why you can actually backup up a 64 GB iPad with only 5 GB of iCloud storage space.