DTV — DTV time-of-day time point definitions are inaccurate

In DTV Clause 9.5.2, all the time-of-day time point definitions are similar. For example, it defines 'hour of day' as: time point that is on the day of hours scale and that is identified by the number of elapsed full hours since midnight on a given calendar day

But each 'hour of day' is a category of time intervals. The time point is "identified by" its index. The "number of elapsed full hours" is how the index and the time point relate to the corresponding time intervals. The definition should read something more like:
time point that is on the day of hours scale and that /corresponds to/ each time interval that has duration 1 hour and that starts a calendar day, if the index of the time point is 0, or that has duration 1 hour and that is met by a time interval that starts a calendar day and that has duration n hours, where n is the index of the time point and is not 0.

The other definitions should be similar. Similarly, 'midnight' appears to be the time point that corresponds to each time interval that has duration 1 second and that starts a calendar day. It is nominally an event that occurs exactly 12 hours before a reference "noon" – a zenith of the sun.

The FTF agrees that the relationship between the time of day time points and the time intervals should be clarified. The general approach is to define these relationships as axioms (SBVR Necessities