Tag: trikona

  • How the Navamsa Is Calculated: The Math Behind the D9 Chart

    Every Jyotisha student hears early on that the navamsa (D9, the ninth divisional chart) is the most important chart after the rashi chart. It is read for marriage, for dharma, and for the real strength of every planet. A planet that looks strong in the rashi chart but falls weak in the navamsa often fails to deliver. The old saying puts it simply: the rashi is the tree, the navamsa is the fruit.

    Most of us let software draw the navamsa. But the calculation is simple, and once you see it, you will understand why a few minutes of birth time can change a chart, and why some planets are called vargottama.

    Step 1: Cut each sign into nine parts

    Nava means nine and amsha means part. Each sign of 30° is divided into nine equal parts:

    30° ÷ 9 = 3°20′ (three degrees and twenty minutes)

    In minutes of arc, that is 1,800′ ÷ 9 = 200′ per navamsa.

    So the zodiac has 12 × 9 = 108 navamsas. This number is not an accident. The zodiac also has 27 nakshatras of four padas (quarters) each, and 27 × 4 = 108. Each navamsa is exactly one nakshatra pada. When software tells you the Moon is in Krittika pada 4, it has already told you the Moon’s navamsa.

    Step 2: Find where the count starts

    This is the only rule to learn. The count of nine does not start from the same sign every time. It depends on the element of the sign:

    Sign groupSignsCount starts from
    FireAries, Leo, Sagittarius1, Aries
    EarthTaurus, Virgo, Capricorn10, Capricorn
    AirGemini, Libra, Aquarius7, Libra
    WaterCancer, Scorpio, Pisces4, Cancer

    Readers of my article on the trikonas will notice something. Each group is a triangle of signs 1, 5 and 9 from each other, and the count starts from the movable (chara) sign of that triangle.

    Parashara gives the same rule in another form in Brihat Parashara Hora Shastra: for a movable sign, the count starts from the sign itself; for a fixed sign, from the 9th sign from it; for a dual sign, from the 5th. Check it with Taurus, a fixed sign: the 9th from Taurus is Capricorn. With Gemini, a dual sign: the 5th from Gemini is Libra. Once again, the 5th and the 9th. The navamsa is built on the trikona.

    Step 3: The full navamsa table

    Putting Steps 1 and 2 together gives the whole navamsa in one table:

    NavamsaDegrees in the signFire signsEarth signsAir signsWater signs
    10°00′ to 3°20′AriesCapricornLibraCancer
    23°20′ to 6°40′TaurusAquariusScorpioLeo
    36°40′ to 10°00′GeminiPiscesSagittariusVirgo
    410°00′ to 13°20′CancerAriesCapricornLibra
    513°20′ to 16°40′LeoTaurusAquariusScorpio
    616°40′ to 20°00′VirgoGeminiPiscesSagittarius
    720°00′ to 23°20′LibraCancerAriesCapricorn
    823°20′ to 26°40′ScorpioLeoTaurusAquarius
    926°40′ to 30°00′SagittariusVirgoGeminiPisces

    Step 4: Worked examples

    Astrologers often write a position as signs completed plus degrees. Aries is 0s, Taurus 1s, Gemini 2s, and so on, so 4s 5°10′ means four signs are completed and the planet is 5°10′ into the fifth sign, Leo. The signs are also numbered 1 to 12 from Aries, so the count starts from 1 (Aries) for fire, 10 (Capricorn) for earth, 7 (Libra) for air and 4 (Cancer) for water.

    Example 1: Sun at 4s 5°10′ (Leo 5°10′)

    5°10′ falls between 3°20′ and 6°40′, so this is the 2nd navamsa of Leo. Leo is a fire sign, so the count starts from 1, Aries. The 2nd sign from Aries is Taurus.

    Example 2: Moon at 1s 8°10′ (Taurus 8°10′)

    8°10′ falls between 6°40′ and 10°00′, so this is the 3rd navamsa of Taurus. Taurus is an earth sign, so the count starts from 10, Capricorn. The 3rd sign from Capricorn is Pisces.

    Check it with the nakshatra: Taurus 8°10′ is Krittika pada 4, and the fourth pada of Krittika falls in Pisces navamsa. The two methods agree.

    Example 3: Venus at 11s 29°00′ (Pisces 29°00′)

    29°00′ falls between 26°40′ and 30°00′, so this is the 9th navamsa of Pisces. Pisces is a water sign, so the count starts from 4, Cancer. The 9th sign from Cancer is Pisces.

    Venus is in Pisces in both charts. This is called vargottama.

    Step 5: Vargottama, worked out

    A planet is vargottama (best in its division) when it occupies the same sign in the rashi and the navamsa. Such a planet is treated as strong, and an exalted planet that is also vargottama, like the Venus above, is especially so.

    The math tells us exactly where this can happen:

    • In a movable sign, the count starts from the sign itself, so the 1st navamsa (0°00′ to 3°20′) is vargottama.
    • In a fixed sign, the count starts from the 9th. Count forward four more and you are back home, so the 5th navamsa (13°20′ to 16°40′) is vargottama.
    • In a dual sign, the count starts from the 5th. Count forward eight more and you are back home, so the 9th navamsa (26°40′ to 30°00′) is vargottama.

    So each sign has exactly one vargottama zone of 3°20′, and the 12 zones together make up one ninth of the zodiac.

    Step 6: Why the birth time matters so much

    The lagna moves through a whole sign in about two hours, so it moves through one navamsa in roughly 10 to 15 minutes. Take two births a few minutes apart:

    LagnaNavamsa of AriesNavamsa lagna
    0s 3°15′1st (0°00′ to 3°20′)Aries (vargottama)
    0s 3°25′2nd (3°20′ to 6°40′)Taurus

    The rashi chart is the same, but the navamsa lagna has moved to a new sign, and every house in the navamsa has shifted with it. This is why careful astrologers check the birth time against past events before reading the navamsa, and why a lagna near the edge of a navamsa is always a reason to ask the client questions first.

    One formula for the whole zodiac

    For readers who like a single formula: the 108 navamsas run in one unbroken cycle around the zodiac. Aries ends in Sagittarius navamsa, Taurus starts from the next sign, Capricorn, and so on. So if you write a planet’s longitude from 0° Aries (0° to 360°), then:

    Navamsa sign number = take longitude × 9 ÷ 30, keep the whole part, divide it by 12, keep the remainder, then add 1

    Here 1 is Aries, 2 is Taurus, and so on. For the Sun at 4s 5°10′, the longitude is 4 × 30 + 5°10′ = 125°10′, or 125.17°. 125.17 × 9 ÷ 30 = 37.55, whole part 37. 37 ÷ 12 leaves a remainder of 1. Add 1 and you get 2, which is Taurus, the same answer as before.

    Where this leaves the student

    The navamsa is not a separate horoscope pulled from nowhere. It is the same zodiac, read nine times more finely, and its starting points are set by the trikonas. In the K.N. Rao approach, the rashi chart must first promise an event, and the navamsa then confirms or weakens that promise. Knowing how it is built makes it easier to trust it, and easier to see when a birth time needs checking before you trust it at all.

  • Trikonas in Jyotisha: The Three Houses of Dharma

    Every birth chart has twelve houses, but not all houses carry the same weight. Some are pillars that hold the life up. Some are channels through which grace flows in. In Jyotisha, the first group are the kendras, and the second are the trikonas.

    Contents

    1. What a trikona is
    2. The three dharma houses: 1, 5 and 9
    3. The controversy: is the 1st house a trikona?
    4. Why the 1st house is both kendra and trikona
    5. The four trikonas of life
    6. How to read the trikonas in your own chart

    What a trikona is

    Trikona is a Sanskrit word. Tri means three, and kona means corner or angle. A trikona is a triangle: three corners, joined.

    In a chart, the trikonas are the houses that stand at the corners of a triangle drawn across the zodiac. Count from the ascendant: the 1st house, then four houses on to the 5th, then four more to the 9th. Join them and you have a perfect triangle. In English these are called the trines.

    As Shri K.N. Rao puts it simply, trikona means three. You cannot have a triangle with two corners.

    Trikona means three. You cannot have a triangle with two corners.

    The three dharma houses: 1, 5 and 9

    The 1st, 5th and 9th houses are called the dharma trikona. Dharma here means the right path, one’s duty, the purpose a soul is born to fulfil.

    • The 1st house is the self: the body, health, temperament and the direction a life takes. It is where the soul enters the world.
    • The 5th house is intelligence, learning, children, devotion and mantra. It is also purva punya, the merit we bring from previous lives. Good karma from before shows up here.
    • The 9th house is bhagya, fortune. It rules dharma itself, the guru, the father, higher learning, pilgrimage and blessings that seem to arrive without effort.

    Together they tell one story. The self (1st) carries merit from the past (5th) and walks towards its higher purpose and grace (9th).

    This is why the classical texts call the trikonas the Lakshmi sthanas, the houses of Lakshmi, the goddess of prosperity and good fortune. The kendras (1, 4, 7 and 10) are called the Vishnu sthanas, the houses of Vishnu who sustains. Vishnu holds the structure of a life up; Lakshmi brings the blessing into it. A strong chart needs both.

    The lords of the trikonas are treated as auspicious for the chart, even when the planet is a natural malefic like Saturn or Mars. Among them, the 9th is held to be the strongest, then the 5th.

    The self carries merit from the past and walks towards its higher purpose and grace.

    The controversy: is the 1st house a trikona?

    Here is where students sometimes disagree.

    Some astrologers say there are only two trikonas, the 5th and the 9th. Their reasoning goes like this: the 5th and 9th are the houses in trine to the ascendant. The ascendant is the point we measure from, so it is the reference, not a member. They also point out that in many rules about benefic and malefic lords, books list “the 5th and 9th lords” as the trikona lords, and treat the lagna lord separately.

    It is an understandable confusion. But it does not hold.

    Why the 1st house is both kendra and trikona

    First, the word itself. Trikona means three. A triangle needs three corners. If the 5th and 9th are trikonas, the third corner of that triangle is the 1st house. Take away the 1st and there is no triangle, only a line.

    Second, the geometry is equal from every corner. Stand on the 5th house and count its trines: you reach the 9th and the 1st. Stand on the 9th: you reach the 1st and the 5th. No corner is more “the starting point” than another. Each one is a trine of the other two.

    Third, the zodiac shows it plainly. In the natural zodiac, the 1st, 5th and 9th are Aries, Leo and Sagittarius, the three fire signs. No one would say Aries is not part of the fire triangle.

    Fourth, Parashara says so. Brihat Parashara Hora Shastra, in its discussion of auspicious lords and yoga karakas, describes the lagna as both a kendra and a kona, and calls the lagna lord auspicious for exactly this reason. The lagna is the one house that belongs to both groups.

    That double role is what makes the 1st house so special. It is a kendra, a pillar of strength and action, and a trikona, a channel of fortune and dharma. It joins the two forces that, in the classical view, make for a fortunate life. This is why the lagna lord matters so much in every reading. A strong lagna lord can lift a weak chart, and a weak one can hold back a chart full of yogas.

    The 1st house is the one house that belongs to both groups: a pillar of strength and a channel of fortune.

    It also explains a basic principle of raja yoga, the combinations for success and status. When the lord of a kendra and the lord of a trikona join, aspect each other, or exchange signs, the chart gains power. Because the lagna is both, the lagna lord joining a good 5th or 9th lord, or a 4th, 7th or 10th lord, can give strong results.

    A well-known example is the chart of Lord Rama as given by Shri K.N. Rao. It has a Cancer ascendant, with Jupiter, lord of the 9th, exalted in the 1st house. The lord of the highest trikona sits in the house that is both kendra and trikona. Dharma placed at the centre of the self: it is hard to think of a better picture of a life lived for dharma.

    The four trikonas of life

    The idea of the triangle goes further. The twelve houses form four triangles, one for each of the four aims of life, the purusharthas:

    TrikonaHousesAim
    Dharma1, 5, 9Purpose, right action
    Artha2, 6, 10Wealth, work, livelihood
    Kama3, 7, 11Desire, relationships, gains
    Moksha4, 8, 12Liberation, the inner life

    Each triangle again has three corners, and each starts from one of the first four houses. The dharma triangle comes first, because in the Indian view a life built on dharma gives the right foundation for wealth, desire and, finally, liberation.

    How to read the trikonas in your own chart

    You do not need to be an astrologer to take something from this. When I look at a chart, some of the first questions I ask are about the trikonas:

    • How strong is the lagna and its lord? This is the health of the person and the steering wheel of the life.
    • Where are the 5th and 9th lords, and how are they placed? Well placed, they show merit from the past and support from elders, teachers and luck.
    • Is there a link between the trikona lords and the kendra lords? This is where effort meets fortune.
    • When do the dashas of the 5th and 9th lords run? These periods often bring learning, children, a teacher, a spiritual turn, or a lucky break.

    A strong trikona does not mean life will be easy. It means there is grace to draw on. The kendras show what we must build by effort; the trikonas show what has already been given. A wise life uses both.

    The kendras show what we must build by effort; the trikonas show what has already been given.

    Sid, Predictions by Sid