How Nine Star Ki works

Where does Nine Star Ki come from?
The nine stars and the turning of fortune

Where do the nine stars of Nine Star Ki come from? Trace them back and you arrive at a 3×3 arrangement of numbers in which every row, column and diagonal adds up to 15.

Checked by arithmetic With a 1:13 video (Japanese) Find your star for free

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Summary
  1. The foundation of Nine Star Ki is a table of numbers (the board) with 1 to 9 laid out in a 3×3 grid.
  2. In this table, all eight lines — rows, columns and diagonals — add up to 15.
  3. The numbers of the table are fixed as the numbers of nine places, and the stars that sit in those places are the nine stars (One White, Two Black … Nine Purple).
  4. The stars move one place each year in number order, and go all the way round in nine years. This year's board is found by lining the stars up in order, starting from the star in the centre.
  5. The same arrangement of numbers appears on a divination board from ancient China more than 2,000 years ago, and it was organised as “Kigaku” in Japan in the Taisho era.

To find which square your star is in this year, enter your date of birth in the Nine Star Ki Fortune Calculator (free, no sign-up).

01The foundation: the numbers 1 to 9 in a 3×3 table

The board used in Nine Star Ki puts each of the numbers 1 to 9 into one square of a 3×3 grid. From the top row down: “4 · 9 · 2”, “3 · 5 · 7” and “8 · 1 · 6”.

The numbers 1 to 9 in a 3×3 table: 4, 9, 2 / 3, 5, 7 / 8, 1, 6. Bands show that the column 9, 5, 1 and the row 3, 5, 7 both add up to 15
The column “9 · 5 · 1” and the row “3 · 5 · 7” both add up to 15.

In ancient China this arrangement was called the Luo Shu. In mathematical terms, it is a magic square — an arrangement in which every line adds up to the same number. Both the “nine stars” and the “nine-year cycle” of Nine Star Ki come out of this single table.

02Check it by arithmetic: every row, column and diagonal is 15

The basic form of this table is the numbers 1 to 9 laid out in three rows. Added together they make 45. Share that equally among the three rows and each row gets 45 ÷ 3 = 15. If every line is to have the same total, that total can only be 15.

1 + 2 + … + 9 = 45 → 45 ÷ 3 = 15

03Give each number a colour, and you have the nine stars

Give each of the numbers 1 to 9 a colour name and you have the nine stars of Nine Star Ki: One White, Two Black, Three Jade, Four Green, Five Yellow, Six White, Seven Red, Eight White and Nine Purple. The number is the star's own number.

The board on which each star sits in the place with the same number is the base board of Nine Star Ki: One White in place 1, Two Black in place 2 … Five Yellow in place 5 (the centre). It is the “home position” board, before the stars start to move. This basic form is called the Koten Teii-ban (the “later heaven” home board).

The base board of the nine stars, with south at the top, north at the bottom, east on the left and west on the right. Top row: Four Green, Nine Purple, Two Black; middle row: Three Jade, Five Yellow, Seven Red; bottom row: Eight White, One White, Six White
The base board (home positions). Each place holds the star with the same number. Place 5, the centre, holds Five Yellow. (The labels in the image are in Japanese.)

The board has directions: south at the top, north at the bottom

Unlike an ordinary map, the Nine Star Ki board has south at the top and north at the bottom (east on the left, west on the right). Drawing south at the top is the convention of old Chinese diagrams. The nine places correspond to the eight compass directions plus the centre.

NumberStarHome position (direction)
1One White Water StarNorth
2Two Black Earth StarSouthwest
3Three Jade Wood StarEast
4Four Green Wood StarSoutheast
5Five Yellow Earth StarCentre
6Six White Metal StarNorthwest
7Seven Red Metal StarWest
8Eight White Earth StarNortheast
9Nine Purple Fire StarSouth

The “Water, Earth, Wood, Metal, Fire” in each name is the star's element in Five-Element thought, which sorts things into five qualities.

04The stars simply move “one step each year, in number order”

Now the stars move. The Nine Star Ki board changes a little every year, but there is only one rule for how it changes: every star moves one place along, in the order of the place numbers. The order starts from place 5 in the centre and follows the places whose numbers go up one at a time.

5Centre→ 6NW→ 7W→ 8NE→ 9S→ 1N→ 2SW→ 3E→ 4SE→ 5Centre
The nine-star board with a gold line visiting the places in number order — 5, 6, 7, 8, 9, 1, 2, 3, 4 — and returning to 5
Follow the places in number order and you draw a single unbroken line across the board. The stars travel along this line, one place a year.

There are nine places, so after exactly nine years every star is back where it started. This is what Nine Star Ki calls the “nine-year cycle of fortune”.

This year's board: line the stars up from the centre

Because the stars move one step at a time, the star in the centre (place 5) changes every year, and its number goes down by one each year (after 1 comes 9). 2026 is called “the year of One White”; 2027 is “the year of Nine Purple”.

Centre star: 2026 = One White (1) → 2027 = Nine Purple (9) → 2028 = Eight White (8)

1Centre→ 2NW→ 3W→ 4NE→ 5S→ 6N→ 7SW→ 8E→ 9SE

The 2026 board (from Risshun to the day before the next Risshun). The base board is the board of a year in which Five Yellow is placed in the centre in this way.

Your own star (Principal Star) can also be worked out from your year of birth

The star of the year you were born — your Principal Star — is the star that was in the centre of that year's board. Add up the digits of the year until you have a single digit, and subtract it from 11 (if the answer is 10 or more, subtract 9).

1985 → 1 + 9 + 8 + 5 = 23 → 2 + 3 = 5 → 11 − 5 = 6 (Six White Metal Star)

When the year goes up by one, the digit sum goes up by one and the answer goes down by one. That is exactly why the centre star goes down by one each year. Note that the Nine Star Ki year begins at Risshun (around 4 February), so anyone born between 1 January and the day before Risshun uses the previous year.

Inside the calculatorThe Nine Star Ki Fortune Calculator moves the stars in exactly this order, and judges Risshun by the precise date for each year.

05How fortune (the biorhythm) is read

In Nine Star Ki, fortune is read from which square (palace) your own star — your Principal Star — is in this year.

The nine squares of the base board (the Koten Teii-ban) stay in place even as the stars move, and each square has a fixed character, rather like a season. The north square is winter, the northwest square is the autumn harvest, and so on. It is used as a guide in the form of “this is a sowing year, so try something new!” or “next year is a winter year, so put defence before attack”.

The character of the nine squares

Square (palace)DirectionAs a seasonFortune score
ChuguCentreSummer — reaching the peak9
KenNorthwestAutumn — the peak of the harvest10
DaWestLate autumn — enjoying the fruits8
GonNortheastEarly winter — a turning point5
RiSouthDeepening winter — light and shadow part3
KanNorthWinter — the bottom (rest and gather strength)1
KonSouthwestBefore spring — preparation3
ShinEastSpring — getting started5
SonSoutheastEarly summer — growing with a fair wind7

Listed in the order the stars travel (Chugu → Ken → … → Son). The fortune scores are the values used by the Nine Star Ki Fortune Calculator (10 is the highest), based on the view that Ken in the northwest — the peak of the harvest — is the top of the cycle. Where to put the peak is a point on which schools of Nine Star Ki differ.

In 2026, which star is in which square?

The “base board” and the “2026 board”. Compare the squares in the same position and you can see which square your star has moved into this year. The square's name and fortune score belong to the place, so they are the same on both boards. Only the stars have moved.

Base board (Koten Teii-ban)
S
Son · SE4Four GreenScore 7
Ri · S9Nine PurpleScore 3
Kon · SW2Two BlackScore 3
Shin · E3Three JadeScore 5
Chugu · C5Five YellowScore 9
Da · W7Seven RedScore 8
Gon · NE8Eight WhiteScore 5
Kan · N1One WhiteScore 1
Ken · NW6Six WhiteScore 10
N
2026 board (One White in the centre)
S
Son · SE9Nine PurpleScore 7
Ri · S5Five YellowScore 3
Kon · SW7Seven RedScore 3
Shin · E8Eight WhiteScore 5
Chugu · C1One WhiteScore 9
Da · W3Three JadeScore 8
Gon · NE4Four GreenScore 5
Kan · N6Six WhiteScore 1
Ken · NW2Two BlackScore 10
N

For example, people whose star is “Two Black Earth Star” are, in 2026, in “Six White's square” of the base board. Its character is “autumn, the harvest”. Someone who keeps this in mind can take it as a guide: “try new challenges up to 2025, and bring them to fruit in 2026”. Guides like this can be drawn out year by year, month by month and day by day.

2026 = from Risshun on 4 February 2026 to around 3 February 2027.

Over nine years, a wave that goes once round the seasons

The stars move one place along each year. So if you line up the fortune scores of the squares your star will enter, you get a wave that goes round once in nine years — a biorhythm.

The nine-year wave of fortune (from the year your star enters Five Yellow's square in the centre)
Following the squares of Five Yellow, Six White, Seven Red, Eight White, Nine Purple, One White, Two Black, Three Jade, Four Green and Five Yellow, the fortune scores are 9, 10, 8, 5, 3, 1, 3, 5, 7, 9. As seasons: summer, autumn, late autumn, early winter, winter, deep winter, early spring, spring, early summer, summer. The peak is Six White's square (autumn, the peak of the harvest, 10) and the bottom is One White's square (winter, the bottom, 1). 10741 Autumn, harvest peak 10 Winter, bottom 1
Vertical: fortune score (10 is the highest). Horizontal: the season, and the square your star enters (shown by the star that owns that square on the base board). The squares come round in star-number order: Five Yellow → Six White → Seven Red … Touch a point to see that square's season and score.
Three boards: year, month and dayThe same kind of board also exists for each month and each day, and the three are overlaid to give the fortune for today. This is explained in How Nine Star Ki works: the three boards and the nine-year biorhythm (in Japanese).

06How old is the idea? From a board of 2,000 years ago to “Kigaku” in the Taisho era

This arrangement of numbers has been in use since ancient times. A Chinese legend says it was the pattern on the shell of a turtle that rose from the Luo River before Yu, the king who tamed the great floods. The name “Luo Shu” comes from the name of that river.

The table drawn in the old style with dots: odd numbers as white circles and even numbers as black dots. The top row has four black, nine white and two black
Old diagrams show the numbers as dots instead of numerals: odd numbers as white circles, even numbers as black dots. The arrangement is the same as the table in 01.

It is not only a legend. The same arrangement of numbers is carved on a divination board found in a tomb from China's Han dynasty, more than 2,000 years ago. Then, in Japan, in Taisho 13 (1924), Sonoda Shinjiro reorganised the older ideas about the nine stars and set them out as “Kigaku”. That is the basis of what is now called Nine Star Ki (Kyusei Kigaku).

  • The age of legendSaid to be the pattern on the shell of a turtle from the Luo River
  • Han dynasty (over 2,000 years ago)The same arrangement carved on a divination board
  • Taisho 13 (1924)Sonoda Shinjiro sets it out as “Kigaku” in Japan
Next: How Nine Star Ki works (in Japanese)The three boards and the nine-year biorhythmYear, month and day boards, reading them against the base board, and 2026–2027 tables

Which square is your star in this year?

Your Principal Star is fixed by your year of birth. Just enter your date of birth and it is calculated automatically, including the Risshun boundary. Free, no sign-up.

Calculators for compatibility, personality and lucky directions are available in Japanese: compatibility · personality · lucky directions.

Frequently asked questions

What is the origin of Nine Star Ki?
An arrangement of numbers from ancient China, the Luo Shu, in which the numbers 1 to 9 are laid out 3×3 so that every row, column and diagonal adds up to 15. The same arrangement appears on a divination board from more than 2,000 years ago, and in 1924 Sonoda Shinjiro set it out in Japan as “Kigaku”.
Which star is in the centre of the board this year?
One White Water Star in 2026 and Nine Purple Fire Star in 2027. The centre star goes down by one each year, so Five Yellow Earth Star is in the centre only once every nine years. The Nine Star Ki year begins at Risshun (around 4 February), so the change happens at Risshun, not on 1 January.
How do I find my Principal Star?
Add up the digits of your year of birth until you have a single digit, and subtract it from 11 (if the answer is 10 or more, subtract 9). The Nine Star Ki year begins at Risshun, so anyone born between 1 January and the day before Risshun uses the previous year. Enter your date of birth in the Nine Star Ki Fortune Calculator and it is worked out automatically, including the Risshun boundary.

About the author

Kentaro Kawahara

Kentaro Kawahara

Representative, SHIN-YU LLC

Last updated:

I first met Nine Star Ki at a school for business leaders, where it was taught as one part of “teiogaku” — the art of leadership — and I have studied and practised it myself for more than ten years since. The “Nine Star Ki” calculator series began as tools I made so that I could check my own biorhythm and current state quickly and easily. I hope they help make your days a little happier.

The maker of the Nine Star Ki calculator series in this article is not a fortune teller. They are made as a guide, like a calendar or a clock, for making level-headed decisions grounded in the historical background of the discipline and in plain calculation.

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