The two are intimately and inexorably linked - that's the point. It's essentially how and why it fucking workskomanderkin wrote: anyway, that's clearly the time domain, so eqing, which is frequency-domain related, shouldn't have much to do with it.
but on the other hand, macc here for example said that abusing eq will also abuse your time domain.
Linear phase eqs don't mess with the phase relationships, as they (generally) apply a frequency-and-gain-dependent time delay. In this way, all the timing differences are compensated for and everything arrives at the output with the same phase (clumsy term, sorry) it started out with. The downsides are that
1) it means that the entire signal is delayed by a large amount to 'wait for the stragglers', and more importantly that
2) the way this is implemented usually means that you get 'pre-ring' or 'pre-echo'. This is basically a reversed version of a sound directly preceding the sound itself. All filters ring, but a normal eq does its ringing after the initial sound so you don't normally notice it. With a linear phase eq the ringing is usually * spread out before and after the actual sound. This is very noticeable on low frequency transients when using sharp filters and relatively large gain changes - but it IS noticeable.
The main point here is that one would think linear phase eq is perfect but it isn't. There is no such thing as a free lunch, you have to choose your poison carefully.
* I'm saying 'usually' as there are other linear-phase designs but they are less common, and way too hard for me to understand

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