Two periods that do not divide
A mean synodic month — new moon to new moon — is 29.5306 days. A tropical year is 365.2422 days. Twelve lunar months total 354.37 days, which leaves the calendar 10.88 days short of the sun every year, and the shortfall does not cancel out.
Nineteen tropical years come to 6939.60 days; 235 synodic months come to 6939.69 days. The two agree to within about two hours, which is the whole reason seven leap months in nineteen years works. Chinese calendrics named that cycle 章, and it was known long before it was explained.
The modern rule is not the nineteen-year cycle, though. Since the 時憲曆 of 1645, Chinese calendars have been built from 定朔 — the true, not the mean, new moon — plus one further rule that decides where the leap month falls.
The year 丙午, month by month
2026 is 丙午年. It begins on 17 February 2026 and has twelve months and no leap month. Each month holds exactly one 中氣, which is the test that decides whether a leap month is needed at all.
| Month | First day | Days | 中氣 inside it |
|---|---|---|---|
| 正月 | 2026-02-17 | 29 | 雨水, 02-18 |
| 二月 | 2026-03-19 | 30 | 春分, 03-20 |
| 三月 | 2026-04-17 | 29 | 穀雨, 04-20 |
| 四月 | 2026-05-17 | 30 | 小滿, 05-21 |
| 五月 | 2026-06-15 | 29 | 夏至, 06-21 |
| 六月 | 2026-07-14 | 29 | 大暑, 07-23 |
| 七月 | 2026-08-13 | 30 | 處暑, 08-23 |
| 八月 | 2026-09-11 | 29 | 秋分, 09-23 |
| 九月 | 2026-10-10 | 29 | 霜降, 10-23 |
| 十月 | 2026-11-09 | 30 | 小雪, 11-22 |
| 十一月 | 2026-12-09 | 30 | 冬至, 12-22 |
| 十二月 | 2027-01-08 | 30 | 大寒, 2027-01-20 |
The terms are solar longitude, not lunar dates
The 24 節氣 are not a feature of the lunar calendar at all. They divide the sun's apparent path into 24 arcs of 15° of ecliptic longitude, so 春分 is 0°, 夏至 90°, 秋分 180°, 冬至 270°, and 立春 — the start of the 八字 year — is 315°. Every term is a fixed position of the sun, and only its date moves.
That is why the terms drift against the lunar months and stay fixed against the Gregorian year: a solar marker keeps a solar date. It also explains why the 節氣 can be computed centuries ahead without any calendar at all, while the leap month cannot be decided without knowing where the new moons fall.
The split into 節 and 中氣 is a division of that same 24: the odd-numbered terms, counted from 立春, are 節 and open a solar month; the even-numbered ones are 中氣 and sit inside it. Twelve of each, alternating around the circle.
The leap month is the month with no 中氣
The 24 節氣 alternate: twelve 節 mark the start of a solar month and twelve 中氣 sit in the middle of one. A 中氣 arrives every 30.4 days on average while a lunar month lasts 29.5, so roughly every two or three years a month slips entirely between two 中氣. That month is the leap month, and it takes the number of the month before it with 閏 prefixed.
This is why the leap month cannot be predicted by 'one every three years'. It has to be computed from the terms, and the answer moves around the year: 2026 needs none, while 2033 needs 閏十一月 beginning 22 December 2033.
2033 is the case calendrical writers keep returning to, because under slightly different 定朔 assumptions a different month can lose its 中氣 and the leap month shifts. The national standard GB/T 33661-2017, 農曆的編算和頒行, fixed the procedure so that published calendars agree with each other.
The stem-branch count runs on its own track
干支紀日 is a continuous sixty-day cycle with no reset. It has run without a break for more than two thousand years, which is why any date can be assigned a day pillar — 7 June 2026 is 壬子 — and why the day pillar is the most reliable of the four.
干支紀年 is where the ambiguity lives, because two different events start the year. The 農曆 year turns at 正月初一; the 八字 year turns at 立春. In 2026 those fall on 17 February and 4 February respectively, so for thirteen days the two systems disagree: 5 to 16 February is already 丙午 on a chart and still 乙巳 on a calendar. Anyone who has seen two sources give different animals for the same birth date has met this gap.
A date read three ways
Take 7 June 2026. The 農曆 date is 丙午年四月廿二, the day pillar is 壬子, and the 節氣 in force is 芒種, which fell on 5 June.
The month is where the readings separate. 農曆 四月 runs from 17 May to 14 June, so the lunar month is the fourth. But the 八字 month changes at the 節, not at the new moon, and 芒種 on 5 June opened 午月. For the ten days between 5 June and 14 June the same date is 四月 on the calendar and 午月 in the chart: 丙午 甲午 壬子.
That ten-day window is the most common error in date-selection advice. A day chosen as 'the fourth lunar month' and a day chosen as '午月' are not the same set of days, and the difference is invisible unless the two cut points are named.
Clock time is not chart time
農曆 dates and 節氣 are computed for UTC+8, the standard meridian. 八字 historically used local apparent solar time, 真太陽時. West of 120°E the sun crosses the meridian later than the clock says, so a recorded birth time needs correcting by longitude and by the equation of time before it becomes an hour pillar.
China also ran daylight saving from 1986 to 1991, which means a summer birth in those years was written down an hour ahead of standard time. That single hour can move the hour pillar into the previous 時辰, and the hour pillar is one of the four the whole reading rests on. Correcting it is not pedantry; it is the difference between two different charts.
What the calendar decides, and what it does not
It decides nothing about events. What it provides is a coordinate system: every moment gets a year, month, day and hour pillar, and the relations between pillars — 沖, 合, 刑, 害 — are then computable rather than arguable. That is what 擇日 works on.
The distinction matters because the coordinate system is genuinely rigorous while the interpretation is not. Two people can check the pillars of a date and agree completely; they can then disagree about what the pillars mean, and no further computation settles it. Keeping those two steps apart is most of what makes the calendar usable.
Disclaimer: This content is for informational and cultural reference purposes only. It does not constitute professional medical, legal, financial, or psychological advice. Readers should exercise their own judgment and consult qualified professionals for specific concerns.
Sources and review basis
Traditional references explain historical vocabulary and context. Official practical sources support only the observable safety, comfort, or environmental points noted in the article; they do not validate metaphysical claims.
Traditional reference
Seasonal Customs of Jing-Chu (荆楚歲時記)Wikisource digital text · Accessed 2026-10-14
A sixth-century record of regional seasonal customs. Cited for the earliest written description of the ninth-day outing and the use of 茱萸; it is a historical text, not evidence for any effect of the date.
Practical source
IANA Time Zone Database (tzdata)Internet Assigned Numbers Authority · Accessed 2026-10-16
The reference dataset for historical UTC offsets and daylight-saving transitions. Its Asia/Shanghai rules are the source for the 1986–1991 China summer-time dates used above.

