I'm suspicious of what you mean when you say, "quale of time". Time is merely a measurement, a measurement of relative change.
Measurements have all sorts of dependencies and nuances.
Well its something we sense subjectively, and I had assumed that time was something making an effect as others had said. I had stated that relativity was just ‘some things going faster than other things’ and gave the example of two clocks at different heights give different result due to the different gravitational forces, but liz seemed to think that relativity was making particles go faster whilst making time move slower [at the edge of a black hole] ~ if I quote her correctly. Thus there is something duel going on here and time is something, not just a measure of objects moving in their own frame of reference.
Sorta, kinda, Amo. Relativity doesn't make particles go faster while time slows down--Einstein's TSR posits, in part, that as particles approach the speed of light, 'time' slows. James said that there are particles that travel faster than the speed of light. They're called neutrinos, but whether or not they travel faster than light remains unproven (as of Nov. 2011). A black hole is something different. A black hole apparently has a point of high gravitational pull that draws matter from the universe into it, supposedly at very high speeds. As the particles reach max acceleration, time stops. Is that what happened during the BB? IDK--but it's a theory.
The duality I see is a duality in definition. We experience the passage of time--it's something we can measure. Spacetime is also a measurement but it's mainly a part of the mathematical equation the makes up a part of the model of Special Relativity. If a neutrino travels faster than light (and it can be proven to do so,) that will change physics completely. The idea is that if spacetime can be stopped, we'll be free to travel back and forth in time.
Now, of course, we can't. We're stuck here in our measurable time as if we were standing in a stream. We can see the water coming and going, but we really don't 'see' the water molecules as they hit our ankles--it just happens faster than we can see or feel it happening. Okay? Time, for us, is much slower than it is for the water molecules.
If 'quale' means 'a quality' of something, then one of the qualities of time is that it can be measured, as I've said earlier. I might understand you more easily if you used every-day language instead of philosophy language. I usually don't understand philosophical language.
"Be what you would seem to be - or, if you'd like it put more simply - never imagine yourself not to be otherwise than what it might appear to others that what you were or might have been was not otherwise than what you had been would have appeared to them to be otherwise."
— Lewis Carroll