A deeper look at why the Rambam in sefer Zemanim deviates from the chronological order of the festival, sheds light on how Yom Tov is relevant and powerful every day, not only on the date it appears on the calendar.
Explaining three paradigms behind a law concerning using the new crop for a Mincha offering, teaches that you can't move ahead spiritually before you discipline your inner animal, and yet as we mature in our spiritual development the prerequisites shift.