The ability of humans to identify and reproduce short time intervals (in the region of a second) may be affected by many factors ranging from the gender of the individual observer, through the attentional state, to the precise spatiotemporal structure of the stimulus. The relative roles of these very different factors are a challenge to describe and define; several methodological approaches have been used to achieve this to varying degrees of success. Here we describe a new paradigm affording not only a first-order measurement of the perceived duration of an interval but also a second-order metacognitive judgement of perceived time. This approach, we argue, expands the form of the data generally collected in duration-judgements and allows more detailed comparison of psychophysical behaviour to the underlying theory. We also describe a measurement model which provides estimates of the variability of the temporal estimates and the metacognitive judgments allowing comparison to an ideal observer. We fit the model to data collected for judgements of 750ms (bisecting 1500ms) and 1500ms (bisecting 3000ms) intervals across three stimulus modalities (Visual, Audio & Audiovisual). This enhanced form of data on a given interval judgement and the ability to track its progression on a trial-by-trial basis offers a way of looking at the different roles that subject-based, task-based and stimulus-based factors have on the perception of time.