The sexagenary cycle is a naming wheel rather than a calendar of months and days. Its machinery is two interlocking lists: the ten Heavenly Stems and the twelve Earthly Branches. Each unit of time takes a stem and a branch together, both lists advancing by one each step, and because ten and twelve share a factor of two, the pairing returns to its start after sixty steps, not one hundred and twenty. The first pairing, jiazi, gives the whole cycle its name. Sixty names are enough to label anything that repeats: the cycle has named days continuously since antiquity, names years in the familiar animal cycle, and in the fuller reckonings names months and double hours as well.
The branches carry the twelve animals, which is why 1984, a jiazi year, opened a cycle as the Wood Rat, and the stems carry the five phases in yin and yang pairs, Wood, Fire, Earth, Metal and Water, which is why each animal returns in a different elemental dress every twelve years. A person's birth year, month, day and hour yield four stem and branch pairs, the four pillars read by Ba Zi horoscopy, and the year pairs drive feng shui's cycles and the traditional almanac. In this atlas the stems and branches are entries in their own right; this page is the wheel they turn together, with each year from 1920 to 2020 carrying its sexagenary name.