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.
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