What I've seen done by e-sports events such as WCS is to use earphones in combination with mufflers[1] to cut out the live spectator noise - yes the ones they use on a rifle range.
I can vouch that such a solution works as my room mate in residence would watch series up until ungodly hours of the morning: wearing no-name rifle range ear mufflers eliminated enough (broad-spectrum) noise to allow me to sleep with no issues whatsoever; I would assume it would cut out enough noise for concentration (given that they go as far as reducing the sounds of gun fire) - even without adding music to the equation.
I find playing a bit of brown noise (it's like white noise with a bit less hiss - you can generate arbitrary lengths of it with Audacity) along with whatever you're listening to in the headphones really helps dull the background noise as well without adding any distraction.
What I've seen done by e-sports events such as WCS is to use earphones in combination with mufflers[1] to cut out the live spectator noise - yes the ones they use on a rifle range.
I can vouch that such a solution works as my room mate in residence would watch series up until ungodly hours of the morning: wearing no-name rifle range ear mufflers eliminated enough (broad-spectrum) noise to allow me to sleep with no issues whatsoever; I would assume it would cut out enough noise for concentration (given that they go as far as reducing the sounds of gun fire) - even without adding music to the equation.
[1]: http://catalogue.3m.eu/en_ZA/PPESafetyProducts/Ear_Plugs_and... - this specific model is frequently seen in WCS.