Consider getting a good pair of sound isolating earphones, or even ear defenders!
Not to neglect your child; but to reduce stress levels so you can problem solve effectively.
The cry of your baby is one of the most emotionally powerful sounds there is. You'll experience extreme stress if you can't calm them down quickly. Probably for good evolutionary reasons, so the parent doesn't ignore their child.
But sometimes there's a problem you just can't instantly solve.
If you find yourself getting really stressed, and losing your ability to act effectively, being able to put something on your ears and reduce the volume while you, e.g. change the nappy/diaper, can reduce stress and help you be a better parent.
I only had to do this a handful of times for each of our kids, but when it was helpful, it was really helpful.