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I don't understand how you can call it qualitative. Abandoning the anthropocentric ideal for a minute, redness or softness are qualitative sure, but time isn't some.. epiphenon (or effect I guess, whatever) of the relations of objects. We can take measurements of it sure, by cutting it into pieces which can contain sequences and predictable occurrences of change, but the qualitative measurements we take of time are measurements, concepts abstracted from time, and not equal to it.
Because an object's temporal position is one of its qualities, and a very important one at that.