the Stereophile definition is the best that I know of:
analytical - "Very detailed, almost to the point of excess."
No, that isn't even a good definition let alone the best. I already gave you a much better one:
"sterile". Like everything is there, only with all the life sucked out of it.
Now let me explain, and help you understand the difference.
Details are all the myriad subtle little bits and pieces that go together in music. All kinds of things qualify as details, everything from the tiniest treble way up high to the articulate tight and tuneful bass note, and everything in between. It is impossible to have too much detail.
It is on the other hand entirely possible for these details to be presented with grain, or etch, or conversely they can be liquid smooth. Same details, just one way grating and fatiguing, the other pleasurable, enjoyable, preferable. One way the details are artificial, one might even say analytical. The other they are natural. One might say lifelike.
So you see a much better definition of analytical is everything there, nice and neutral, only sterile, lifeless.
See how much better that is?