I assume that you are posing this question because the HD590 is an open-back design, which makes the sound from the headphones audible to someone sitting next to you. As a general proposition, I don't think this will be a concern as the cabin noise will drown out most of the output from the headphones. I often use my Sennheiser HD600 headphones on airplane flights, playing them through the Sennheiser DSP 360 unit. I keep the volume at a reasonable level, and have never had anyone next to me complain.
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