(Image credit: Sennheiser)

Closed-back headphones are notoriously difficult to tune properly. Without open grilles allowing drivers to breathe, internal cup reflections and low-end buildup can muddy the sound or result in a hollow, clinical presentation. But Sennheiser managed to crack that formula with the HD 480 Pro. Now, the upgraded bundle – the HD 480 Pro Plus (which is the same headphone, but with a cool hard carry case) – has had $40 knocked off over at Amazon .

For full details on why I think this is the best closed-back headphone, head over to my detailed HD 480 Pro review . It's my top overall pick in my list of the best-sounding wired headphones of any price.

Usually retailing at $439, the HD 480 Pro Plus package is down to $399, matching the list price of the base model while bundling Sennheiser’s dedicated protective travel case and premium accessories at no extra cost.…