What is the basis for the calculations?

Saju writes down the year, month, day and hour of your birth as two Chinese characters each, eight characters in all. The upper character of each pair is called the heavenly stem, the lower one the earthly branch, and the two characters of your birth day are called the Day Pillar. If these words are new to you, start with Stems, Branches and Day Pillars — How to Read the Letters.

Heavenly stems — the ten upper characters of Saju. Each has a fixed element and polarity, and the stem of your birth day is the day stem that points to you.
Earthly branches — the twelve lower characters of Saju, the same characters as the zodiac animals. Each branch holds hidden stems inside it.
Day pillars — the pair made by the stem and branch of your birth day. There are 60 of them, from 甲子 to 癸亥, and each has its own entry. You will find them in the collapsed lists below.

Start hereStems, Branches and Day Pillars — How to Read the LettersWhat the eight characters of a Saju chart are, and what the heavenly stems, earthly branches and day pillar each mean, explained with two simple tables.
ExamplesReading a Chart by Example — Three Real Calculation ResultsThree made-up birth dates run through the Saju Link engine, shown exactly as calculated, with a walk through the order in which to read the four pillars, the day master and the strength of the five elements.
Service Basisnatal chart — Where do the eight characters come from?It explains how the year, month, day, and time of birth become the four pillars and eight characters, and identifies which character points to you. It also discusses why it can be viewed even without knowing the exact time of birth.
Five ElementsFive Elements Strength and Strong/Weak Day PillarWe count the eight characters as five elements to see which energy is strong and which is weak. We disclose the threshold values (45%·35%) that determine the strength of the Day Stem.
Balancing ElementBalancing Element — The Energy Needed NowIf the Day Stem is strong, we consider the energy to reduce; if weak, we consider the energy to support as necessary. This explains how to choose that energy and how to handle it when balanced.
The Ten GodsThe Ten Gods — The Ten Positions Within My SajuBased on the day pillar, the remaining characters are divided into ten names. It discusses the reasons for distinguishing between regular wealth and side wealth, even if they are the same wealth element.
Relationship TableEarthly Branch Relationships — Combination, Clash, and DiscordThis is a relationship table showing how today's day pillar interacts with the natal chart. It reveals what each combination, clash, and discord is and how many points they have.
Zodiac SignWhere is the Zodiac Sign in Saju?The zodiac sign is the earthly branch of the year you were born. This explains why it is drawn from the saju year rather than the calendar year, and why those born in early January or February have the zodiac sign of the previous year.
TimeWe convert the birth time to true solar time.Standard time and the actual position of the sun differ. This addresses why the time must be adjusted according to the longitude of the birthplace to ensure the hour pillar is correct.
Today's fortuneHow does today's fortune come out?Today's day stem is compared to the natal chart to score. Thirteen suppress-and-support relations and seven earthly branch relations, along with all twenty items and their respective additions and subtractions, are fully disclosed.
Personal InformationA method that does not store the entered informationIt clarifies what it technically means that the date of birth is not recorded anywhere and what is contained in the result link.
Paid productsWhat is included in the paid reportIt clarifies what has been added to the PDF while keeping the screen unchanged. Values and contents are retrieved from the actual product settings.

Heavenly stems10

Heavenly stemsYang Wood (甲) — Wood, YangThe element and polarity of the heavenly stem 甲, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYin Wood (乙) — Wood, YinThe element and polarity of the heavenly stem 乙, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYang Fire (丙) — Fire, YangThe element and polarity of the heavenly stem 丙, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYin Fire (丁) — Fire, YinThe element and polarity of the heavenly stem 丁, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYang Earth (戊) — Earth, YangThe element and polarity of the heavenly stem 戊, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYin Earth (己) — Earth, YinThe element and polarity of the heavenly stem 己, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYang Metal (庚) — Metal, YangThe element and polarity of the heavenly stem 庚, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYin Metal (辛) — Metal, YinThe element and polarity of the heavenly stem 辛, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYang Water (壬) — Water, YangThe element and polarity of the heavenly stem 壬, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.
Heavenly stemsYin Water (癸) — Water, YinThe element and polarity of the heavenly stem 癸, how it reads the other nine stems (the Ten Gods) and which earthly branches hold it — laid out exactly as Saju-Link's calculation rules have it.

Earthly branches12

Earthly branches子 — the branch of the RatThe stems held by the earthly branch 子 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches丑 — the branch of the OxThe stems held by the earthly branch 丑 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches寅 — the branch of the TigerThe stems held by the earthly branch 寅 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches卯 — the branch of the RabbitThe stems held by the earthly branch 卯 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches辰 — the branch of the DragonThe stems held by the earthly branch 辰 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches巳 — the branch of the SnakeThe stems held by the earthly branch 巳 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches午 — the branch of the HorseThe stems held by the earthly branch 午 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches未 — the branch of the SheepThe stems held by the earthly branch 未 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches申 — the branch of the MonkeyThe stems held by the earthly branch 申 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches酉 — the branch of the RoosterThe stems held by the earthly branch 酉 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches戌 — the branch of the DogThe stems held by the earthly branch 戌 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.
Earthly branches亥 — the branch of the PigThe stems held by the earthly branch 亥 (the hidden stems), the strength of the five elements when it is the month branch, and the Ten Gods read for each day stem — laid out exactly as Saju-Link's calculation rules have it.

Day pillars60

Day pillarsThe 甲子 Day PillarHow Saju-Link reads the day pillar 甲子 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙丑 Day PillarHow Saju-Link reads the day pillar 乙丑 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙寅 Day PillarHow Saju-Link reads the day pillar 丙寅 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁卯 Day PillarHow Saju-Link reads the day pillar 丁卯 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊辰 Day PillarHow Saju-Link reads the day pillar 戊辰 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己巳 Day PillarHow Saju-Link reads the day pillar 己巳 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚午 Day PillarHow Saju-Link reads the day pillar 庚午 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛未 Day PillarHow Saju-Link reads the day pillar 辛未 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬申 Day PillarHow Saju-Link reads the day pillar 壬申 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸酉 Day PillarHow Saju-Link reads the day pillar 癸酉 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 甲戌 Day PillarHow Saju-Link reads the day pillar 甲戌 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙亥 Day PillarHow Saju-Link reads the day pillar 乙亥 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙子 Day PillarHow Saju-Link reads the day pillar 丙子 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁丑 Day PillarHow Saju-Link reads the day pillar 丁丑 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊寅 Day PillarHow Saju-Link reads the day pillar 戊寅 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己卯 Day PillarHow Saju-Link reads the day pillar 己卯 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚辰 Day PillarHow Saju-Link reads the day pillar 庚辰 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛巳 Day PillarHow Saju-Link reads the day pillar 辛巳 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬午 Day PillarHow Saju-Link reads the day pillar 壬午 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸未 Day PillarHow Saju-Link reads the day pillar 癸未 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 甲申 Day PillarHow Saju-Link reads the day pillar 甲申 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙酉 Day PillarHow Saju-Link reads the day pillar 乙酉 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙戌 Day PillarHow Saju-Link reads the day pillar 丙戌 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁亥 Day PillarHow Saju-Link reads the day pillar 丁亥 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊子 Day PillarHow Saju-Link reads the day pillar 戊子 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己丑 Day PillarHow Saju-Link reads the day pillar 己丑 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚寅 Day PillarHow Saju-Link reads the day pillar 庚寅 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛卯 Day PillarHow Saju-Link reads the day pillar 辛卯 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬辰 Day PillarHow Saju-Link reads the day pillar 壬辰 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸巳 Day PillarHow Saju-Link reads the day pillar 癸巳 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 甲午 Day PillarHow Saju-Link reads the day pillar 甲午 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙未 Day PillarHow Saju-Link reads the day pillar 乙未 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙申 Day PillarHow Saju-Link reads the day pillar 丙申 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁酉 Day PillarHow Saju-Link reads the day pillar 丁酉 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊戌 Day PillarHow Saju-Link reads the day pillar 戊戌 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己亥 Day PillarHow Saju-Link reads the day pillar 己亥 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚子 Day PillarHow Saju-Link reads the day pillar 庚子 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛丑 Day PillarHow Saju-Link reads the day pillar 辛丑 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬寅 Day PillarHow Saju-Link reads the day pillar 壬寅 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸卯 Day PillarHow Saju-Link reads the day pillar 癸卯 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 甲辰 Day PillarHow Saju-Link reads the day pillar 甲辰 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙巳 Day PillarHow Saju-Link reads the day pillar 乙巳 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙午 Day PillarHow Saju-Link reads the day pillar 丙午 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁未 Day PillarHow Saju-Link reads the day pillar 丁未 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊申 Day PillarHow Saju-Link reads the day pillar 戊申 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己酉 Day PillarHow Saju-Link reads the day pillar 己酉 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚戌 Day PillarHow Saju-Link reads the day pillar 庚戌 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛亥 Day PillarHow Saju-Link reads the day pillar 辛亥 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬子 Day PillarHow Saju-Link reads the day pillar 壬子 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸丑 Day PillarHow Saju-Link reads the day pillar 癸丑 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 甲寅 Day PillarHow Saju-Link reads the day pillar 甲寅 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 乙卯 Day PillarHow Saju-Link reads the day pillar 乙卯 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丙辰 Day PillarHow Saju-Link reads the day pillar 丙辰 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 丁巳 Day PillarHow Saju-Link reads the day pillar 丁巳 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 戊午 Day PillarHow Saju-Link reads the day pillar 戊午 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 己未 Day PillarHow Saju-Link reads the day pillar 己未 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 庚申 Day PillarHow Saju-Link reads the day pillar 庚申 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 辛酉 Day PillarHow Saju-Link reads the day pillar 辛酉 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 壬戌 Day PillarHow Saju-Link reads the day pillar 壬戌 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.
Day pillarsThe 癸亥 Day PillarHow Saju-Link reads the day pillar 癸亥 — what the stems held by the day branch are to the day stem — laid out exactly as its calculation rules have it.