Knowledge library
ZW-AUX-18 / Zi Wei Dou Shu

Tian Gui: the day-plus-hour star

Content version · · Sources & references

Tian Gui, day plus hour
Save share card ↓

Tian Gui counts from the Wen Qu palace to the birth day and steps back one, so it follows day plus hour number and ignores the month. A worked count, a lookup table, and why juan 1 to 3 of the Quan Shu lack it.

The short version6 min read

Tian Gui is the partner of En Guang: day 1 is put on a palace, counted to the birth day and stepped back one, only with Wen Qu as the start instead of Wen Chang. The landing follows "day plus hour number", and its position against En Guang depends on the hour alone, the day having canceled out.

  • Tian Gui counts from the Wen Qu palace with day 1 on it to the birth day, then steps back one; Wen Qu is set by the hour, so only birth day and hour matter and the month plays no part.
  • One more day moves it a palace forward and so does one more hour, so cells with the same "day plus hour number" share a branch; the lookup is the same table as San Tai's month-plus-day one.
  • Its position against En Guang depends on the hour alone: Rat and Horse hours put it directly across, Rabbit and Rooster hours in the same palace; the Quan Shu juan 1 to 3 we hold has no "Tian Gui".
Eighteen seconds: the day-plus-hour table, why Tian Gui's position against En Guang depends on the hour, and a reminder that it counts from Wen Qu and its source is still open.

Read first

What do Zi Wei's supporting, malefic and minor stars actually do? ↗

Counting from the Wen Qu palace

Tian Gui (天贵) is the twin of En Guang (恩光), with the same method and a different starting point. Find Wen Qu (文曲) from the hour, let lunar day 1 sit on its palace, walk forward one palace per day to the birth day, then retreat a single palace; where you end is Tian Gui.

Ring of the twelve branches, using lunar day 21 in the Ox hour: Wen Qu is on the Snake palace, day 1 is put on Snake and the count to day 21 stops on the Ox palace, and one step back puts Tian Gui on the Rat palace.Open the full-size diagram

Ring sketch: the example is lunar day 21 in the Ox hour and the landing matches iztro 2.6.0; brown is Wen Qu, purple is where the count to day 21 stops, and green is Tian Gui after one step back.

The example in the picture is lunar day 21 in the Ox hour. In the Ox hour Wen Qu is on the Snake palace, so day 1 goes on Snake and counting to day 21 means going 20 palaces on, which stops on the Ox palace; one step back puts Tian Gui on the Rat palace.

Wen Qu starts the Rat hour on the Dragon palace and moves one palace forward for each later hour; see Wen Qu. Tian Gui therefore sits at the Dragon palace plus (hour number plus day minus two) places, again with no month.

Day plus hour: one anti-diagonal is one cell

Wen Qu moves forward with the hour, so for Tian Gui day and hour point the same way: one more day moves it a palace forward, and one more hour does too, so the two add rather than cancel. Walking in the table from upper right to lower left, one more day and one fewer hour, leaves Tian Gui where it was.

DayRatOxTigerRabbitDay 1RabDraSnaHorDay 2DraSnaHorGoaDay 3SnaHorGoaMonDay 4HorGoaMonRooGreen: four cells on one anti-diagonal, all Horse
Enlarge diagram · scroll sideways to read
DayRatOxTigerRabbitDay 1RabDraSnaHorDay 2DraSnaHorGoaDay 3SnaHorGoaMonDay 4HorGoaMonRooGreen: four cells on one anti-diagonal, all Horse
The day-by-hour table for days 1 to 4 and the Rat to Rabbit hours: the four green cells lie on one anti-diagonal and Tian Gui lands on the Horse palace in each.

Reduce "day plus hour number" modulo 12 and read the matching row (the Rat hour counts as 0 and the Pig hour as 11):

Remainder Tian Gui Remainder Tian Gui
0 Tiger 6 Monkey
1 Rabbit 7 Rooster
2 Dragon 8 Dog
3 Snake 9 Pig
4 Horse 10 Rat
5 Goat 11 Ox

This is the same table as San Tai's: San Tai looks up "month plus day", Tian Gui looks up "hour number plus day", one formula with a different term added.

Against En Guang: the hour decides

En Guang counts from Wen Chang and Tian Gui from Wen Qu, and both then travel "day minus two" places beyond their starting points. The day part is the same on both sides and cancels when they are subtracted; what is left is the distance between Wen Qu and Wen Chang, which depends on the hour alone.

Rat and Horse hours6 palaces apartTian Gui is across from En GuangThe day plays no partRabbit and Rooster hours0 palaces apartTian Gui shares En Guang's palaceThe day plays no partThe other eight hours2, 4, 8 or 10 apartOx, Goat 8; Tiger, Monkey 10Dragon, Dog 2; Snake, Pig 4Apart means counted forward from En Guang to Tian Gui
Enlarge diagram · scroll sideways to read
Rat and Horse hours6 palaces apartTian Gui is across from En GuangThe day plays no partRabbit and Rooster hours0 palaces apartTian Gui shares En Guang's palaceThe day plays no partThe other eight hours2, 4, 8 or 10 apartOx, Goat 8; Tiger, Monkey 10Dragon, Dog 2; Snake, Pig 4Apart means counted forward from En Guang to Tian Gui
Tian Gui against En Guang depends on the hour alone: Rat and Horse hours put them six palaces apart, directly across; Rabbit and Rooster hours put them in one palace; the other hours are two, four, eight or ten apart.

Hour by hour, the number of palaces counted forward from En Guang to Tian Gui:

Hour Apart Hour Apart
Rat 6 Horse 6
Ox 8 Goat 8
Tiger 10 Monkey 10
Rabbit 0 Rooster 0
Dragon 2 Dog 2
Snake 4 Pig 4

Three results from this table

Same palace
Born in the Rabbit or Rooster hour, Tian Gui and En Guang share a palace.
Opposite
Born in the Rat or Horse hour, the two stars sit directly across on the ring of branches.
The rest
Two, four, eight or ten apart, and each pair of hours, such as Ox and Goat, gives the same gap.

A "Tian Gui" the book does not show

In the Zi Wei Dou Shu Quan Shu (紫微斗數全書) as we hold it, juan 1 to 3, we searched for "Tian Gui" in both simplified and traditional forms and found none; the placement verses of juan 2 cover San Tai, Ba Zuo, Tai Fu and Feng Gao, but not this star.

Juan 1no such nameJuan 2versesno countJuan 3no such nameResultsource pendingThe search covers juan 1 to 3 as held on this site
Enlarge diagram · scroll sideways to read
Juan 1no such nameJuan 2versesno countJuan 3no such nameResultsource pendingThe search covers juan 1 to 3 as held on this site
No Tian Gui turned up in juan 1, in the juan 2 placement verses or in juan 3 as held on this site, so the result is that its source is still to be checked.
  1. Find Wen Qu first

    Wen Qu starts the Rat hour on Dragon and goes forward: the Rat hour is on Dragon and the Pig hour on Rabbit.

  2. Work out "day plus hour number"

    Divide by 12, keep the remainder and read Tian Gui's branch from the table above.

  3. Check against En Guang

    Then look up "apart" for the birth hour and confirm the two stars' relative position.

Two problems from Wen Qu

Find branch

A birth on lunar day 20 in the Goat hour: where does Tian Gui land?

The Goat hour is number 7, 20 + 7 = 27, remainder 3, so the Snake palace.

Same palace

Tian Gui and En Guang share a palace: which two hours could the birth be in?

A shared palace happens only in the Rabbit and Rooster hours.

Its twin is En Guang, which starts at Wen Chang and follows day minus hour; read together, the two show what the day and the hour each contribute.

Questions readers ask next

Is Tian Gui a "partner star" of Wen Qu?

In the count it is: it starts at the palace where Wen Qu sits. Whether the two stars are partners in meaning is not written in the books we hold, and cannot be deduced from the count.

Why are En Guang and Tian Gui in opposite palaces on my chart?

Their relative position is set by the birth hour alone and has nothing to do with the day. At the Rat and Horse hours Tian Gui is always directly across from En Guang, and at the Rabbit and Rooster hours the two share a palace.

Why write an article on a star the book does not mention?

It is among the minor stars on the chart page and the engine gives its landing, so readers will see it on a chart. This article covers only how the landing arises, and the meaning stays blank until a source turns up.

Was this article helpful?

Sources & references

  1. 維基文庫・紫微斗數全書・卷二:安星訣各條(無天貴條) ↗
  2. 維基文庫・紫微斗數全書・卷一 ↗
  3. iztro・星曜系统(十四主星名单与星曜亮度表) ↗

Continue reading

En Guang (恩光): The Minor Star That Ignores the Birth Month ↗

Tai Fu (台辅): Counted from the Horse Palace, Two Places from Feng Gao and Wen Qu ↗