Plain Saju

Saju compatibility calculator: Korean gunghap for two charts

Two saju charts interact through their Day Masters, their day branches, the harmonies and clashes among all their branches and the elements each lacks, which this calculator sums into a 50–100 score.

By the Plain Saju team

Person A

Used to convert clock time to true solar time. Pick the nearest city.

Gender
Person B

Used to convert clock time to true solar time. Pick the nearest city.

Gender

Your birth details are sent only to calculate the chart and are not stored.

Example result

This is an example chart (Birth: March 15, 1995, 14:30, Seoul, South Korea, Female). Enter your own birth details to see yours.

Gunghap score 66 Workable

To Person A, Person B is: My Person
The element of your Day Master produces theirs. This is read as a person you naturally want to look after, teach and protect, with your energy flowing toward them.
To Person B, Person A is: Benefactor
The element of their Day Master produces yours. This is read as a person who gives you support: advice, help, a door opened at a useful moment.

Why this score

  • Your day branches clash (chung), read as strong pull with easy friction
  • One of you has plenty of the element the other lacks
  • Branches elsewhere in your two charts form a six harmony (yukhap)

Gunghap is the saju word for compatibility between two charts. The score runs from 50 to 100 and describes how the two tend to interact, not whether a relationship should exist.

Your four pillars

A saju chart has four pillars: the year, month, day and hour of birth. Each pillar pairs a Heavenly Stem on top with an Earthly Branch below.

Hour pillarDay pillarMonth pillarYear pillar
Ten godPyeonin (Indirect Resource) 偏印Day MasterPyeonjae (Indirect Wealth) 偏財Bigyeon (Friend) 比肩
Heavenly Stem癸gye Yin Water乙eul Yin Wood己gi Yin Earth乙eul Yin Wood
Earthly Branch未mi Sheep Earth巳sa Snake Fire卯myo Rabbit Wood亥hae Pig Water
Ten godPyeonjae (Indirect Wealth) 偏財Sanggwan (Hurting Officer) 傷官Bigyeon (Friend) 比肩Jeongin (Direct Resource) 正印
Hidden stems丁 乙 己戊 庚 丙乙戊 甲 壬
Life stageNurture 養Bath 沐浴Prime 建祿Death 死

How this chart was calculated

  • True solar time at the birthplace was 42 min earlier than the clock time, so the day and hour pillars use the corrected time.

Your four pillars

A saju chart has four pillars: the year, month, day and hour of birth. Each pillar pairs a Heavenly Stem on top with an Earthly Branch below.

Birth: November 2, 1993, 09:10, Seoul, South Korea, Male

Hour pillarDay pillarMonth pillarYear pillar
Ten godJeongin (Direct Resource) 正印Day MasterJeonggwan (Direct Officer) 正官Pyeongwan (Seven Killings) 偏官
Heavenly Stem甲gap Yang Wood丁jeong Yin Fire壬im Yang Water癸gye Yin Water
Earthly Branch辰jin Dragon Earth亥hae Pig Water戌sul Dog Earth酉yu Rooster Metal
Ten godSanggwan (Hurting Officer) 傷官Jeonggwan (Direct Officer) 正官Sanggwan (Hurting Officer) 傷官Pyeonjae (Indirect Wealth) 偏財
Hidden stems乙 癸 戊戊 甲 壬辛 丁 戊辛
Life stageDecline 衰Conception 胎Nurture 養Birth 長生

How this chart was calculated

  • True solar time at the birthplace was 16 min earlier than the clock time, so the day and hour pillars use the corrected time.

Saju calculator

What is gunghap, and when do Koreans use it?

Gunghap (궁합, 宮合) is the Korean word for reading two saju charts against each other. The Encyclopedia of Korean Culture defines it as divination at the time of marriage: the saju of the groom and the bride are examined, on the basis of yin-yang and five-element theory, to judge whether the two suit each other as spouses. The same entry names two kinds, an outer gunghap (geot-gunghap, 겉궁합) read from the twelve branches and an inner gunghap (sok-gunghap, 속궁합) read from the five elements.

The traditional setting was the betrothal. According to the encyclopedia, the groom's family sent the bride's family a letter called saju danja (사주단자, 四柱單子), which recorded the groom's birth year, month, day and hour. The bride's family had a diviner read it, and gunghap was checked at that point. If the reading was good, the bride's family sent back a letter that set the wedding date, and with that exchange the marriage was agreed.

The encyclopedia entry, written in 1995, also describes a custom in decline. It says the practice was fading as traditional attitudes changed and industrialization advanced, that some people still decided for or against a marriage because of gunghap, and that gunghap also served as a tactful reason to turn down a proposal.

The simplest form of gunghap compares only the birth-year animals. A 2013 paper by Kim Man-tae in Korean Studies Quarterly describes the folk custom: pairs such as Rat and Ox or Rabbit and Dog are welcomed because their branches form a six harmony, and pairs such as Rat and Sheep or Snake and Dog are avoided because their branches are in wonjin (원진, 怨嗔), a relation read as mutual resentment. The year animal is only one of the eight characters in a chart, as the guide to Korean zodiac color animals explains. This calculator reads all four pillars of both people.

The comparison itself is not tied to marriage. The calculator applies the same rules to any two charts and does not use gender in the comparison. Couples are the traditional use, and the result can be read the same way for friends, relatives or coworkers.

What does this calculator compare?

The calculator first builds both charts by the same rules as the saju calculator on the home page. The year and month pillars change at the solar terms, and the day and hour pillars use true solar time at the birthplace. It then runs six checks with fixed lookup tables. No AI model is involved, so the same two sets of birth details always give the same result.

Check What is compared Effect on the score
1. Day Masters Whether the two day stems form one of the five stem combinations (cheonganhap, 천간합, 天干合) A plus, the largest single item
2. Day branches The relation between the two day branches: six harmony (yukhap, 六合), three harmony (samhap, 三合), clash (chung, 沖), wonjin or punishment (hyeong, 刑) A plus for a harmony; a minus for a clash, wonjin or punishment
3. All other branches Each branch of one chart against each branch of the other, and groups of three branches that only the two charts together complete Smaller pluses and minuses, weighted by pillar
4. Elements How many characters of each person's scarcest element the other chart holds A plus that grows with the count; a small minus when both charts are strong and weak in the same elements
5. Cheoneul Gwiin Whether one chart holds a Cheoneul Gwiin (Heavenly Noble) branch of the other person's Day Master A plus for each direction
6. Day Master elements Whether the element of one Day Master produces or controls the element of the other A small plus for producing, a smaller minus for controlling

These are relations that a saju reading ordinarily looks at. The Encyclopedia of Korean Culture describes a reading as centered on the day stem and as examining the combinations and clashes among the stems and branches, the producing and controlling of the five elements, and punishment, break, harm and wonjin.

The day pillars count most. The Day Master (ilgan, 일간, 日干) is the stem of the day pillar and stands for the person. Saju tradition also treats the day pillar as the place of oneself and one's spouse, as Kim Man-tae's paper notes. A stem combination between the two Day Masters is the largest single plus in the score, and a six harmony between the two day branches is the next. A clash between the two day branches is the largest single minus. Day branches that are the same character, or that have none of the listed relations, add nothing. When two day branches fit more than one relation, the calculator takes the first in this order: six harmony, three harmony, clash, wonjin, punishment.

Check 3 covers every other pair of branches between the two charts. A pair that involves a day branch counts most, a pair that involves a month branch comes next, and pairs among year and hour branches count least. The calculator also looks for a three harmony, a directional combination or a three-branch punishment that is complete only when the branches of both charts are pooled, and for two branches of a three harmony held one in each chart. A group that one chart already holds on its own is not counted. The pair total and the group total are each capped.

Check 4 counts the characters of each chart by element: eight characters, or six without an hour pillar. A person's scarcest element is the one with the lowest count, and a tie goes to the first in the order Wood, Fire, Earth, Metal, Water. The more characters of that element the other chart holds, the more the check adds, up to a limit. It is counted in both directions.

Check 5 uses Cheoneul Gwiin (천을귀인, 天乙貴人), the best known of the noble stars. Every Day Master has two Cheoneul Gwiin branches. The check asks whether any branch in one chart is one of the two that belong to the other person's Day Master, and it asks this in each direction. The reason line for it appears only when the answer is yes both ways.

Which stems and branches combine or clash?

The tables in this section are the classical lookups behind checks 1 to 3. San Ming Tong Hui (三命通會), a manual of the four pillars compiled by Wan Minying in Ming China in the mid-16th century, sets out the stem combinations, the six harmonies and the clashes in its second volume.

The five stem combinations (cheonganhap) pair the ten Heavenly Stems.

Stem pair Korean reading Elements of the two stems Element the pair is said to form
甲 + 己 gap + gi Yang Wood + Yin Earth Earth
乙 + 庚 eul + gyeong Yin Wood + Yang Metal Metal
丙 + 辛 byeong + sin Yang Fire + Yin Metal Water
丁 + 壬 jeong + im Yin Fire + Yang Water Wood
戊 + 癸 mu + gye Yang Earth + Yin Water Fire

In every stem combination a yang stem meets the yin stem of the element it controls. San Ming Tong Hui explains a combination as harmony between yin and yang and compares it to a man and a woman joining as husband and wife. The last column is the element each pair is traditionally said to turn into. The compatibility check asks only whether the two Day Masters make one of these pairs. It does not change an element in either chart.

The six harmonies (yukhap, 육합, 六合) pair the twelve Earthly Branches.

Branch pair Korean reading Animals
子 + 丑 ja + chuk Rat + Ox
寅 + 亥 in + hae Tiger + Pig
卯 + 戌 myo + sul Rabbit + Dog
辰 + 酉 jin + yu Dragon + Rooster
巳 + 申 sa + sin Snake + Monkey
午 + 未 o + mi Horse + Sheep

The six clashes (chung, 충, 沖) pair each Earthly Branch with the one directly opposite it on the circle of twelve. San Ming Tong Hui counts it as the seventh branch from one's own.

Branch pair Korean reading Animals
子 + 午 ja + o Rat + Horse
丑 + 未 chuk + mi Ox + Sheep
寅 + 申 in + sin Tiger + Monkey
卯 + 酉 myo + yu Rabbit + Rooster
辰 + 戌 jin + sul Dragon + Dog
巳 + 亥 sa + hae Snake + Pig

A clash is not read as purely negative. Kim Man-tae's paper makes the point that a clash does not only do harm, just as a combination does not only do good. The reason line of this calculator words a day-branch clash in the same spirit: "strong pull with easy friction".

Checks 2 and 3 also use the branch relations in the next table.

Relation Branches Counted as
Three harmony (samhap, 삼합, 三合) 申子辰, 亥卯未, 寅午戌, 巳酉丑 Plus
Directional combination (banghap, 방합, 方合) 寅卯辰, 巳午未, 申酉戌, 亥子丑 Plus
Wonjin (원진, 怨嗔) 子未, 丑午, 寅酉, 卯申, 辰亥, 巳戌 Minus
Harm (hae, 해, 害) 子未, 丑午, 寅巳, 卯辰, 申亥, 酉戌 Minus
Break (pa, 파, 破) 子酉, 丑辰, 寅亥, 卯午, 巳申, 未戌 Minus
Punishment (hyeong, 형, 刑) 寅巳申, 丑戌未, 子卯 Minus

In check 2, two day branches from the same three-harmony group count as a three harmony. In checks 2 and 3, any two branches from the same punishment group count as a punishment, and so do 子 and 卯.

One pair of branches can hold more than one relation. 寅 and 亥 are a six harmony and a break at once, and check 3 counts both. Check 3 also counts the same branch appearing in both charts as a slight plus.

How do I read the 50–100 score and the reasons?

The number next to "Gunghap score" is a whole number from 50 to 100. The calculator adds up the six checks and places the total on a curve that starts at 50, so the number is not a percentage and no pair scores below 50. Swapping Person A and Person B gives the same score. The label next to the number follows this table.

Gunghap score Label shown
90–100 Very strong bond
80–89 Strong bond
70–79 Good match
60–69 Workable
50–59 Takes effort

Under the score, two lines name the role each person plays for the other. The role comes from the elements of the two Day Masters alone, so the two lines can differ.

Label shown Relation of the two Day Master elements
Benefactor Their element produces yours
Best Friend Both are the same element
My Person Your element produces theirs
Right Hand Your element controls theirs
Tiger Mentor Their element controls yours

Producing and controlling follow the two cycles of five-element theory. The Encyclopedia of Korean Culture gives both cycles in its entry on the theory, and check 6 uses the same table.

Element Produces Controls
Wood Fire Earth
Fire Earth Metal
Earth Metal Water
Metal Water Wood
Water Wood Fire

The list under "Why this score" holds up to three reasons: the ones that moved the score most, whether up or down. When the score is on the low side, the list always includes a reason that lowered it, if there is one. Smaller items are counted without being listed.

In the example above, the score is 66, "Workable". Person A, born March 15, 1995, has the Day Master 乙, Yin Wood. Person B, born November 2, 1993, has the Day Master 丁, Yin Fire. Wood produces Fire, so the two lines read "To Person A, Person B is: My Person" and "To Person B, Person A is: Benefactor". 乙 and 丁 are not a stem combination, so check 1 adds nothing. The three reasons trace back to the two pillar tables as follows.

Reason shown in the example Where it comes from
Your day branches clash (chung), read as strong pull with easy friction Person A's day pillar is 乙巳 and Person B's is 丁亥. 巳 (Snake) and 亥 (Pig) are a pair in the clash table.
One of you has plenty of the element the other lacks Person B's chart has one Wood character (甲). Wood ties with Fire and Metal as its scarcest element and comes first in the tie order. Person A's chart has three Wood characters (乙, 乙 and 卯).
Branches elsewhere in your two charts form a six harmony (yukhap) Person A's month branch is 卯 (Rabbit) and Person B's is 戌 (Dog), a pair in the six-harmony table.

The example also holds items that are counted without being listed. Wood producing Fire between the two Day Masters adds a little. A clash between Person A's month branch 卯 and Person B's year branch 酉 takes a little off. Person A's year branch 亥 is one of the two Cheoneul Gwiin branches of Person B's Day Master 丁, which adds a plus in one direction only.

What are the limits of a saju compatibility score?

A gunghap score compares the structure of two charts. It knows nothing about how two people treat each other, what they have been through or what they choose to do. It is not a verdict on whether a relationship should begin, continue or end, and the note under every result says so.

The lookup tables are classical, but the weights are this site's own. Which relations to count, and how much each one matters, are choices made for this calculator. Another practitioner or another calculator can weigh the same harmonies and clashes differently and reach a different number from the same two charts.

The result depends on the birth times. The hour pillar changes every two hours of true solar time and the day pillar turns over at 23:00, so a birth time that is a few minutes off near a boundary can change a day branch, and with it the largest items in the score. If you tick "Birth time unknown" for one person, that chart has no hour pillar and the comparison uses its year, month and day pillars only. The About and method page lists every calculation rule.

The comparison does not read everything in a chart. It leaves out the ten gods within each chart, Day Master strength and the 10-year luck cycles (daeun). To see those, run each set of birth details through the saju calculator on its own and follow the guide to reading a saju chart.

Saju is a traditional practice, and this site does not claim that the score predicts how a relationship will go. The Encyclopedia of Korean Culture reports the prevailing view on gunghap itself: now that couples can get to know each other openly before marriage, people are expected to feel less and less need for it.

Frequently asked questions

What does gunghap mean?
Gunghap (궁합, 宮合) is the Korean word for judging how well two saju charts fit together. The Encyclopedia of Korean Culture defines it as divination at the time of marriage that reads the saju of the groom and the bride by yin-yang and five-element theory.
What is the lowest gunghap score this calculator gives?
The scale runs from 50 to 100, so no pair of charts scores below 50. The number is not a percentage.
Can I check saju compatibility without knowing the birth time?
Yes. Tick Birth time unknown for that person. The chart then has no hour pillar, and the comparison uses the year, month and day pillars only.
Is the saju compatibility calculator only for couples?
No. It compares any two charts by the same rules and does not use gender in the comparison. The role labels it returns, such as Benefactor or Best Friend, describe how the two Day Masters relate, so the result can also be read for friends, relatives or coworkers.
Does the calculator use AI, and are the birth details stored?
No to both. The two charts and the comparison are computed by a fixed algorithm from lookup tables, and the birth details are used only for that calculation and are not stored.

Sources

  1. 1궁합 (宮合, gunghap), Encyclopedia of Korean Culture, Academy of Korean Studiesencykorea.aks.ac.kr
  2. 2사주 (四柱, saju), Encyclopedia of Korean Culture, Academy of Korean Studiesencykorea.aks.ac.kr
  3. 3오행론 (五行論, five-element theory), Encyclopedia of Korean Culture, Academy of Korean Studiesencykorea.aks.ac.kr
  4. 4Kim Man-tae, 십이지(十二支)의 상호작용 관계로서 충(衝)·형(刑)에 관한 근원 고찰 (clash and punishment among the twelve branches), Korean Studies Quarterly 36(3), 2013 (PDF)accesson.kr
  5. 5Wan Minying, San Ming Tong Hui (三命通會), volume 2: stem combinations, six harmonies, three harmonies, harms, punishments and clashes (Chinese Wikisource)zh.wikisource.org
  6. 6地支 (Earthly Branches), Chinese Wikipedia: lists of the branch harmonies, clashes, breaks, harms and punishmentszh.wikipedia.org
  • Day Master calculator

    Find your Day Master (ilgan) from your birth date, time and place, then look it up in a table of all ten: element, yin-yang, traditional image and strength.

  • Korean zodiac color animals

    Find your Korean zodiac color animal by birth year and by day pillar: a free calculator, all 60 animals in one grid with hanja, and when each year starts.