Hi Andrey,
Well, maybe you are the only one who wants to know really, or wants to understand really ... or ... But here is my kind of answer :
Whatever the Q1 is set to, that's bit perfect.
The Invert box, when checked, of course is not. But it's nothing more (or less) than indeed inverting the phase. So revert that back (at the output) and you'd have bit perfect again. Now why ...
As it occured, once the Q1 goes over "a hurdle" indeed it seems that the phase gets (at least) acoustically) inverted. I could present you with a theory for that, but it would be a kind of blabla, because I would have to make it up. Anyway, I am not the only one perceiving that (and to me it is kind of logic, but that's the blabla thing
). So, that's why the Invert emerged ... to counteract that.
In the mean time, a few of us (amongst those, me) think that Inverting the phase has different "effects" than just inverting the phase.
Sidenote : inverting the absolute phase (that's what it is, so nothing about left/right stuff) is something only few people can hear. It is about things starting to suck instead of blow, and the other way around. You can maybe imagine, that when this is so, at the higher frequencies a too sharp "blow", will be softened by sucking instead. So, it does something to the sound which possibly is perceived as better to the ears/mind.
Of course all starts to be rather confusing if you again think about the hurdle as mentioned. Thus, e.g. when Q1 goes from 10 to 9 to 8 to 7 ... suddenly with Invert checked it sounds better. But is the phase acoustically now inverted or not ?
This all is related to "what is the base setting anyway", which we don't know, since we did not even know it could change.
Also think about "absolute phase" as something that's in an instrument, like a drum which obviously should start with a blow. However, since at recordings not much attention is payed to how microphones (or mixing consoles) are connected according to absolute phase, the various instruments/voices are recorded with mixed absolute phase. So there's no one best setting for "Invert". Still, if you listen to the difference, in general (so over various albums) one setting is better than the other, and is related to the Q1 setting.
However, there is no technical relation to Q1 whatsoever in the program, but in practice / acoustically there is ...
Peter