
New Year’s Eve is the last day of the year and the day before New Year’s Day, which marks the start of a new year according to the Gregorian calendar. Pope Gregory XIII introduced the Gregorian calendar in 1582. It was adopted immediately in some areas of Europe but it was not used in various countries until even centuries later. For example, the United Kingdom and the United States started observing the Gregorian calendar in 1752, in which 11 days were dropped.
Soon after becoming Roman dictator, Julius Caesar decided that the traditional Roman calendar was in dire need of reform. Introduced around the seventh century B.C., the Roman calendar attempted to follow the lunar cycle but frequently fell out of phase with the seasons and had to be corrected. In addition, the pontifices, the Roman body charged with overseeing the calendar, often abused its authority by adding days to extend political terms or interfere with elections.
In designing his new calendar, Caesar enlisted the aid of Sosigenes, an Alexandrian astronomer, who advised him to do away with the lunar cycle entirely and follow the solar year, as did the Egyptians. The year was calculated to be 365 and 1/4 days, and Caesar added 67 days to 45 B.C., making 46 B.C. begin on January 1, rather than in March. He also decreed that every four years a day be added to February, thus theoretically keeping his calendar from falling out of step. Shortly before his assassination in 44 B.C., he changed the name of the month Quintilis to Julius (July) after himself. Later, the month of Sextilis was renamed Augustus (August) after his successor.
Celebration of New Year’s Day in January fell out of practice during the Middle Ages, and even those who strictly adhered to the Julian calendar did not observe the New Year exactly on January 1. The reason for the latter was that Caesar  failed to calculate the correct value for the solar year as 365.242199 days, not 365.25 days. Thus, an 11-minute-a-year error added seven days by the year 1000, and 10 days by the mid-15th century.
The Roman church became aware of this problem, and in the 1570s Pope Gregory XIII commissioned Jesuit astronomer Christopher Clavius to come up with a new calendar. In 1582, the Gregorian calendar was implemented, omitting 10 days for that year and establishing the new rule that only one of every four centennial years should be a leap year. Since then, people around the world have gathered en masse on January 1 to celebrate the precise arrival of the New Year.
It is important to note that not all cultures follow the Gregorian calendar in observing New Year’s Eve and New Year’s Day. For example the New Year in the Hindu, Chinese, Coptic, Jewish, Islamic calendars differ to that of the Gregorian calendar.
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