This paper presents an additional mathematical tool that can be used to analyze the Jewish calendar. The table of sixty-one headings was prepared in France, seven hundred and fifty years ago as a tool for finding the year codes for the 19-year of a particular cycle of Jewish years. This unique table demonstrated that there are only 61 possible arrangements of the year codes in these 19-year cycles. The table can be used to calculate the intervals between the appearances of a pair or any series of particular year codes. These intervals create a closed path.