Dionysian 95-Year Extension Exercise
Generate a 95-year Dionysian table, then extend it by another 95 Julian years.
Extension rules
General extension rules
1A common source year requires no correction
Copy the Luna XIV date, the Luna XIV weekday, and the Easter Sunday from the source year to the target year unchanged.
2A bissextile source year requires correction
Use the extension rules for bissextile years.
Extension rules for bissextile years
1Choose Luna XIV date
Copy the Luna XIV date from the source year to the target year unchanged.
2Choose Luna XIV weekday
Move the Luna XIV weekday one day earlier than the source year.
3Choose Easter Sunday date
3a
If the source Luna XIV date is Monday through Saturday, move the Easter Sunday date of the target year one calendar day later than the Easter Sunday date of the source year.
3b
If the source Luna XIV date is Sunday, move the Easter Sunday date of the target year six calendar days earlier than the Easter Sunday date of the source year.
Starting Julian year
| Source table | Extension table | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Source year | Year type | Luna XIV date | Luna XIV weekday | Easter Sunday | Target year | Luna XIV date | Luna XIV weekday | Easter Sunday | Result and rule feedback | |
About this exercise
All dates are Julian; Gregorian dates are not used.
The source table and answer key follow Dionysius’s Alexandrian 19-year lunar cycle together with the Julian 28-year solar cycle governing the weekdays. For AD 532–626, the generated source table reproduces the Luna XIV and Easter Sunday dates in Dionysius’s historical 95-year table; outside that range, the Dionysian 95-year table is projected backward or forward using the same Alexandrian 19-year lunar cycle and Julian weekday reckoning.
Inspired by Ulrich Voigt's analysis of the sequence 95 95 95 247.