When is Easter Sunday?


show maths show explanation
 1. A is the remainder of YEAR/19: 
 2. B is the quotient of YEAR/100: 
 3. C is the remainder of YEAR/100: 
 4. D is the quotient of B/4: 
 5. E is the remainder of B/4: 
 6. G is the the quotient of (8B + 13)/25: 
 7. H is the the remainder of (19A + B - D - G + 15)/30: 
 8. M is the quotient of (A + 11H)/319: 
 9. J is the quotient of C/4: 
 10. K is the remainder of C/4: 
 11. L is the remainder of (2E + 2J - K - H + M + 32)/7: 
 12. N is the quotient of (H - M + L + 90)/25: 
 13. P is the remainder of (H - M + L + N + 19)/32: 
 1. Find position of year in 19-year cycle. (In fat A + 1 is the golden number of the year)
 2. Leap year rule for Gregorian calendar: B increases by 1 for each century year (multiple of 100)
 3. C is the year in the century
 4. D increases only in century years.
 5. E gives number of century years that have not been leap years
 6. G is month correction to the epact
 7. H is equivalent to the epact (which is 23 - H or 53 - H, whichever is positive)
 8. M deals with an exceptional case regarding the epact. In fact, M = 0 unless either H = 29
             (when M = 1 and the epact is 24), or H = 28 and A = 10 (when again M = 1)
 9. and 10. Start of calculation of day of week for Easter full Moon. Deals with ordinary leap years
 11. Derives full Moon date from epact
 12. Finds month of Easter
 13. Finds day of month for easter

Easter Sunday is the Pth day of the Nth month, where 3 = March and 4 = April.

Easter Sunday {{future}} on:

  • Golden number: A + 1 =
  • Epact: 23 - H or 53 - H (whichever is positive):
  • Dominical Letter: Remainder of 2E + 2J - K divided by 7, then take A = 1, B = 2, etc.:
                        
                            
                    






Gap between years to make music!





  • try with a gap of:
  • 3 years
  • 8 years
  • 100 years