However, the Jewish calendar is not the only one to solve the problem with a leap month. The Chinese calendar also adds in a month every 3 years. According to http://www.timeanddate.com/date/chinese-leap-year.html, "the name of a leap month is the same as the previous lunar month" rather like our two Adars. But there is a difference in that it's not always the same month or at the same point in the year.
Yesterday I posted the safeik of the Yerushalmi whether which month, Adar I or Adar II, is the “real” and which is the addition. There is more to be said on the halachic issue, but for today I want to focus on what the debate might teach us for our avodas Hashem. The Shem m’Shmuel writes that the number 12 is symbolic of the natural order, teva; e.g. 12 constellations in the sky, 12 months in a regular year, 12 hours in a halachic day. The number 13 is symbolic of transcending the natural order; e.g. 13 middos harachamim are used to ask G-d to extend his mercy beyond what we deserve. There is something to be said for living within natural boundaries – go to work, have a regular seder in learning, take care of chores around the house, repeat. This is the world of the number 12. But sometimes a person needs to make a jump into the world of 13, a world without limits or boundaries, a world where a person can be inspired by ideas that transcend the practical routine even while knowing that the world of 12 will ultimately pull one back to reality. The world of 13 provides the boost, the vision, without which a person could not sustain himself day after day in the world of 12.
So which is the ikkar and which is the tafeil, which is the “real” world and which is the “tosefes” [added element]? The world of 13 is inspiring, but unless it impacts the day to day world of 12, its platitudes are meaningless. On the other hand, the world of 12 has no meaning without the goal and vision of the world of 13 to sustain it. Which Adar is the “real” Adar – the 12th month, or the 13th?
One other interesting note about having 13 months: