How the principal star is calculated
The rule is simple once the year is right: add the digits of the year until a single digit remains and subtract from eleven (a result of ten counts as 1). 1990 adds to 19, then 10, then 1, so the star is 11 − 1 = 10 → 1 White Water. The cycle descends one star per year: 1991 is 9 Purple Fire, 1992 is 8 White Earth. The catch is the year itself. Nine Star Ki uses the solar calendar: the year starts at Lichun (立春), around 4 February, not on 1 January. Someone born on 20 January 1991 has the 1990 star. The calculator computes the exact Lichun instant from the Sun's longitude, so January and early-February births land in the right year. With a birth time the star is decided at that instant; only a birth with no time on the very day Lichun falls is undetermined, and the card then shows both stars.
The monthly star
Months also begin at solar terms — the first month at Lichun, the second at Jingzhe around 5–6 March, and so on. The monthly star depends on the group your year star belongs to: in a 1, 4 or 7 year the first month is ruled by star 8, in a 3, 6 or 9 year by star 5, and in a 2, 5 or 8 year by star 2; the stars then descend month by month, without a break from one year to the next. Practitioners read the monthly star as the inner temperament that colours the principal star's core nature. The calculator finds your solar month from the Sun's longitude at birth (with a birth time and place the boundary is exact to the minute) and applies the table; born on the day a new month begins with no time given, you see both monthly stars.
Kua number — a different system, shown separately
The Feng Shui Kua number (also called Gua or Ming Gua) is often confused with the principal star because it uses the same nine-year arithmetic. It differs in one way: it depends on gender. For men the Kua is the principal star with 5 replaced by 2; for women it is the digit root plus four, reduced, with 5 replaced by 8. The calculator shows both values and, if you give your gender, the one that applies to you — but labels it as Kua, because it belongs to house and desk placement, not to the Nine Star Ki reading of character and years.
The yearly house: where your star sits now
This is the part practitioners use for timing. Every solar year a different star takes the centre of the Lo Shu square and all nine stars shift with it. The house your principal star occupies this year sets the year's theme: house 1 in the north is a quiet year of preparation, house 3 in the east a year of new starts, house 5 at the centre the pivotal year of the nine-year cycle when everything is exposed, house 6 in the north-west a year of authority and harvest, house 9 in the south a year of visibility. The calculator gives the current year's centre star, the house of your star in it, and the same for next year so you can see the direction of travel.
What the nine stars mean
1 Water is deep, adaptable and independent; 2 Earth nurturing, patient and detail-minded; 3 Wood the energetic starter; 4 Wood the communicator and traveller; 5 Earth the powerful centre with big highs and lows; 6 Metal the principled leader; 7 Metal the charming, financially astute enjoyer of life; 8 Earth the steady mountain that changes direction decisively; 9 Fire the bright, visible, passionate star. The result card prints the keywords, personality, career and health notes of your principal star from the same reference the AI reading uses.
Nine Star Ki inside a ProxaAI reading
Nine Star Ki is a calendar system, so it needs no extra chart and no extra AI call: tick "Nine Star Ki" on your kundli and the numerologist specialist receives your stars and the yearly house next to your Life Path and Personal Year, and reads them together in every question. Japanese-born users get it pre-selected. The same solar-term calendar drives the BaZi calculator, so the two never disagree about which year you were born in; the Tibetan year counts from Losar instead and can differ for a February birth.