The word "continuum", in term of measurement, is defined as:
models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using qualitatively different states.[1]
So let's assume that we want to make a model ( based on time ) of the position of one of the hands of all "tick-tocking" watches, for which every hand has 60 discrete positions.
If we assume that we made that model could we apply the word "continuum" to it ? Would the lack of a continuity ( in terms of position ) contradict with the definition of the word "continuum" ?