At the moment of writing this tutorial, the latest release is Banshee 2.6.1 and it’s available for Ubuntu 13.10 Saucy, Ubuntu 13.04 Raring, Ubuntu 12.10 Quantal, Ubuntu 12.04 Precise, Ubuntu 11.10 Oneiric, and Linux Mint 15, 14, 13, 12.
Add Banshee PPA:
Press Ctrl+Alt+T to open terminal window for running commands. When it opens, copy below command and paste in terminal (Ctrl+Shift+V) and hit enter:
sudo add-apt-repository ppa:banshee-team/ppa
It will add the Banshee PPA repository to your system so that you can install and receive updates via package manager or apt-get command.
Install / Upgrade Banshee
For Linux Mint users (and Ubuntu users with Synaptic installed), open Synaptic Package Manager from the start menu. Click Reload to update package lists, search banshee and mark for installation or upgrade by right-clicking on result. Finally click Apply to install / upgrade.
Both Linux Mint and Ubuntu can run below commands instead:
sudo apt-get update; sudo apt-get install banshee
Enjoy!