The Table of Sixty-One Headings as a Tool for Finding the Intervals between the Recurrence of Year Codes in the Jewish Calendar
Keywords:Calendar, hebrew calendar, sixty-one headings
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-years 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.
The paper is divided into three parts. The first part will explain the use of the table of sixty-one headings, the second part will present an improved version of the table that will demonstrate the repetitiveness of the SIMAN HASHANA. The third part will demonstrate a new method with which one can understand the intervals at which a pair of year codes appear and the mathematical logic of these intervals. This method will be demonstrated on two cases.