The major moadim (as mentioned in Vayikra 23) seem to be divided into two main cycles; the Tishri cycle in the fall and the Nisan cycle in the spring. The first festival in Tishri is Rosh HaShanah, the first one in Nisan is Pesach. Also both of these start a 'new year' in their own way as Tishri Marks the head of a year, and Nisan Marks the head of the months (many commentators explain the reason for this).
But on a more spiritual level what does one learns from both of these half-year cycles comparing them to eachother?. What do these cycles try to tell us?
P.s. And what can one learn if one would take these cycles as whole-year cycles: So if we take the whole year from Tishri to Tishri v.s. all the months from Nisan to Nisan as two ways of looking at a religious/spiritual year - full of moadim - in stead of half year cycles, and take the order of Vayikra 23 as a basis for the full year cycle starting with Nisan, and would take this same order but instead - in the case of a Tishri cycle - would start off with Rosh HaShanah (instead of Pesach) and after it follow all the other moadim described after their order in time, and would compare such cycles.. what would they tell/teach us?