The Chinese calendar combines the lunar and solar systems together. The Year and Day cycles use the solar system. However, there are two different Month cycles in the Chinese calendar. One uses the lunar system and the other uses the solar system. In the lunar system of Month, the new moon day is the first day of a lunar month. The length of a lunar month is the length of time between two new moon days. The name of a lunar Month is taken from the solar system.  The Chinese solar months are not like the months of a modern calendar. The Chinese calendar divides the year into 24 solar segments according to the sun positions on the tropical zodiac (Similar to western astrology). Each segment's name was given for ancient Chinese farmers' use. To understand the whole picture view the following chart.

Solar Segment	Astrology	Sun Longitude	Month Name
Start of Spring		315	1 - Tiger
Rain Water	Pisces	330
Excited Insects		345	2 - Rabbit
Vernal Equinox	Aries	0
Clear and Bright		15	3 - Dragon
Grain Rains	Taurus	30
Start of Summer		45	4 - Snake
Grain Fills	Gemini	60
Grain in Ear		75	5 - Horse
Summer solstice	Cancer	90
Slight Heat		105	6 - Sheep
Great Heat	Leo	120
Start of Autumn		135	7 - Monkey
Still Hot	Virgo	150
White Drew		165	8 - Chicken
Autumnal Equinox	Libra	180
Cold Drew		195	9 - Dog
Frost Descends	Scorpio	210
Start of Winter		225	10 - Pig
Light Snow	Sagittarius	240
Heavy Snow		255	11 - Rat
Winter Solstice	Capricorn	270
Little Cold		285	12 - Cow
Severe Cold	Aquarius	300

The solar months are defined by the sun longitudes. The first month, Tiger month, begins from the "Start of Spring" segment or when the sun enters the 315th degree on the tropical zodiac. The second month, Rabbit month, begins from the "Excited Insects" segment or when the sun enters 345th degree. The beginning of a solar month is called the Segment Point. In the middle of a solar month is called the Center Point. For example, the segments of "Rain Water" and "Vernal Equinox" are Center Points. The astrology names of "Pisces" and "Aries" apply to these Center Points.

The lunar month name is derived from the Solar Center Point. For example, If a lunar month contains the "Rain Water" Center Point, then it is the first month of the lunar calendar, as known as the Tiger month.

If a lunar month does not contain any Solar Center Point, that month is known as a Leap Month. The name of this leap month is the same as previous lunar month. The reason to assign leap months is that we want the moon cycle to harmonize with the sun cycle. Because one year has about 365.2425 days and one month has about 29.53 days, one year has about 12.3685 months. 12.3685 is about 12 and 7/19. If we put seven extra months in 19 years, sun and moon should be back to the same sky position. "Seven Leap Months in 19 years" is easy for people to remember. However, 12.3685 is almost equal to 12 and 144/391. That means "144 Leap months in 391 years" is a more accurate way to assign Leap months. So far, no one has lived long enough to observe the entire cycle.

Anyway, the principles of the Chinese Calendar use the following three rules which the ancient Chinese made them thousand years ago.

• The new moon day is the first day of a lunar month
• The name of a lunar name is named by the Solar Center Point
• The lunar month without a Center Point is a Leap month

In the Chinese Lunar Calendar, the new moon day is the first day of a lunar month and the length of a lunar month is the length between two new moon days. In the Chinese Fortune-Telling (Astrology) Calendar, the first day of a month is the day on a Solar Segment Point and the length of a month is the length between two Solar Segment Points. Therefore there is no Leap Month in the Chinese Fortune-Telling System.

Without this knowledge, above-mentioned, most people will be confused about the solar months and lunar months. They may think all Chinese Fortune-Telling system use lunar months. Actually, the Fortune-Telling system called Eight Characters only uses the solar month, not the lunar month. The other popular system called Dipper uses solar month and lunar month together.

The counting system of Day is the Stem-Branch 60-day cycle system. No one knows who invented the Stem-Branch for Day counting system, but legend has it that characters of Day Stem-Branch were found on Oracle bones. The Animal names of Stem-Branch were applied into the Month system around 206 B.C. (between the Chin and Han dynasties). The Stem-Branch was applied into the Year system around 164 B.C..

Almost every Chinese dynasty had its own calendar. One reason was that the new emperor needed to announce the new rules including the new calendar to the public. The other reason was that the astronomer's officers had to make some adjustments on the calendar in order to match the sun and moon in the sky.

The first day of a year has been changed many times in Chinese calendars. The current Chinese calendar uses the first day of the first month of Tiger month as the first day of a year, which was initially adopted by the Shiah dynasty (2183-1752 B.C.). Today, some people consider the Winter Solstice as the first day of a year in the Chinese Fortune-Telling System, because that makes more sense from the astronomy view.

There is no simple conversion table for converting the western calendar to the Chinese calendar, if you want to get the precise date and time. For most accurate calculation, we need to use formula for calculating the exact positions of sun and moon. You can find relevant reference material from the followings.

Chinese Lunar Leap Month
Chinese Lunar Calendar Conversion

 Dr. Helmer Aslaksen of National University of Singapore has a good Chinese Calendar Web site.
Another good page of Chinese Calendar