For some strange reason, Wordpress limits uploads to 8 MB. To upload larger files, one must use FTP. The problem with FTP is that Wordpress does not see the uploaded files. The 'Add From Server' plugin solves this problem beautifully. It taps Wordpress on the shoulder and points to the file and says, "Yo, add this file to the Media Library."
NOTE: make sure to rename files before FTP upload by replacing spaces with dashes (My-Favorite-Song.mp3 instead of My Favorite Song.mp3). Otherwise, Wordpress will choke on the name. The reason is this: when Wordpress uploads a file, it automatically replaces spaces with dashes, but when you upload a file with FTP and add it to the Media Library via 'Add From Server', Wordpress does not get the chance to replace spaces with dashes. Wordpress sees the file (My Favorite Song.mp3), but can't execute it (play it) because Wordpress is hardwired to deal with dashes (My-Favorite-Song.mp3). When Wordpress sees a file with spaces (My Favorite Song.mp3), it scratches its head and says, "WTF?" Therefore, replace spaces with dashes before uploading via FTP.