Scaliger’s 7,980-year cycle

Julian Period Converter

Cycle Year

Enter a year on either side. The other side updates automatically using only the Julian calendar—never the Gregorian calendar.

Julian Period year

A year number from 1 through 7,980.

Julian calendar year

BCE or CE, with no year zero.

Cycle Combination

Choose one number from each cycle to find the unique Julian Period year and its corresponding Julian calendar year.

Period year: 6,739
Calendar year: 2,026 CE
How the conversion works

Julian Period year 1 is Julian calendar year 4713 BCE. The current 7,980-year period therefore runs from 4713 BCE through 3267 CE; a new cycle begins in 3268 CE.

The simplest formula uses astronomical year numbering:

astronomical year = Julian Period year − 4713

In that internal numbering, astronomical year 0 means 1 BCE, −1 means 2 BCE, and +1 means 1 CE. The displayed Julian calendar result uses ordinary BCE/CE notation and never displays a year zero.

For Julian Period year Y, each cycle number is ((Y − 1) mod cycle length) + 1. Since 15, 19, and 28 are pairwise coprime, the Chinese remainder theorem gives one unique year from 1 through 7,980 for every combination.

Uses the proleptic Julian calendar for the BCE portion of the period.