Understanding timescales within the day period
Intra-daily scale variability is pointing to the circadian rhythms. the circadian rhythms are physical, mental, and behavioral changes that follow a "daily" cycle. They respond primarily to light and darkness in an organism's environment. It is not an accurate time scale, as the light and darkness are not a cycle itself, but it is commonly use on medicine. Google it. I will recommend this.

The Intra-tidal it is used for a few processes linked with the tides, but it is not "just" on daily basis as the tides have not a daily interval. Look there and there

Both timescales are usefull for whatever process linked to human (or animal) bodies and tides. But as scale times, they are not very useful.

Regarding predictions... which kind of predictions are you talking about?