Gaussian Formulae

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Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.
 
Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.
  
==External Links==
 
* Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar'', ISBN 0911165312. Available from [http://users.sisqtel.net/sgpm/ctos/oldcal/SEO.html The Center for Traditionalist Orthodox Studies]
 
 
* Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']
 
  
 
==Related Links==
 
==Related Links==
 
* [[Paschalion]]
 
* [[Paschalion]]
*[[Church Calendar]]
+
* [[Church Calendar]]
 +
 
 +
==External Links==
 +
* Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar'', ISBN 0911165312. Available from [http://users.sisqtel.net/sgpm/ctos/oldcal/SEO.html The Center for Traditionalist Orthodox Studies]
 +
* Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']
  
 
[[Category:Church Life]]
 
[[Category:Church Life]]

Revision as of 12:05, September 8, 2005

The Gaussian Formulae for Pascha were created by the prolific German mathematician Karl Friedrich Gauss (1777-1855).

In these formulae, mod indicates the Modulus, a mathematical operator that returns the remainder from division. For example, <math>8 mod 3 = 2</math> because <math>8 / 3 = 2 remainder 2</math>.

In addition, int indicates the Integer Part of a number. For positive numbers, it returns the greatest integer less than the number. For example, <math>Int(8.25) = 8</math>.

Year indicates the year of interest (AD).

The formulae:

a = Year mod 4
b = Year mod 7
c = Year mod 19
d = (19c + 15) mod 30
e = (2a + 4b - d + 34) mod 7
f = Int((d + e + 114) / 31)
g = ((d + e + 114) mod 31) + 1
f is the month of Pascha.
g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.

Important, this returns the date of Pascha ONLY on the Old Calendar. To get the Gregorian date, add 13 days.


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