#### Legend

- The purpose of these formulas is to match the correct solar year with a correct calendar mimicking astronomic reality.
- (y) represents a chosen year.
- (x) equals 231.
- (e) is a decimal equivalent matching one figure from the rotational tables.
- (n) is a single whole integer representing a cycle of 231 years in the A.D. era.
- To use the formulas, pick any solar year from 3200 B.C. through A.D. 10,000.
- If it’s a B.C. year, dividing that year by 231 results in an equivalent.
- In the A.D. formula, you must determine both (y) and (n).
- When using the year integer (n), use only the whole number from the calculation.
- B.C. years are descending and A.D. years are ascending requiring negative equivalents for the A.D. era.
- Zero year can be calculated correctly using both formulas.
- Once the equivalent is calculated match it to the calendar number in the rotational tables.
- Roman numerals lack a zero thus there was no zero year, meaning the Ephemeris calendar which has a zero year is one year behind the Gregorian calendar – A.D. 2019 Gregorian calendar is calculated as A.D. 2018 in the Ephemeris calendar.

This universal calendar is capable of absorbing all other calendars ever used. Use the Millennium Ephemeris calendars

- A.D. 2000 was: -0.341991 = [2000-(9*231)] / 231 = cal. # 5.
- A.D. 2018 is: -0.264069 = [2018-(9*231)] / 231 = cal. # 13.
- A.D. 2019 is: -0.25974 = [2019-(9*231)] /231 = cal. #1.
- A.D. 2020 is: -0.255411 = [2020-(9*231)] / 231 = cal. #2.