For me, that's another reason not to have one.
I like silence.
I consider noise from things like a refrigerator, or a computer case fan, to be distracting, and a reduction in the quality of my environment.
White noise is still noise, and there's no noise like no noise...
If you can tolerate the in-ear physical sensation, Etymotic makes some fantastic earplugs for reducing noise. I similarly found even small noises to be distracting, and I couldn’t avail myself of earplugs or noise cancelling headphones because they also felt distracting. The clever thing that Etymotic did is design to reduce noise evenly across the spectrum, so it feels like turning the world’s volume knob down, rather than unevenly suppressing certain frequencies. Noise seems qualitatively less distracting with “the volume turned down” in this way, and the uneven suppression turned out to be the part that bothered me about other options. I consider myself sound-sensitive yet these things made a 14-hour flight in the same row as a crying baby quite tolerable (to both mine and the suffering parents’ relief). Your mileage may of course vary but this was a big QoL upgrade for me and it may be for you too.
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Agreed. I'd love to have air purification (and air circulation to reduce CO2) without noise, to the extent possible.