D40 Chart Calculator (Khavedamsa)

In the classical assignment, the maternal line: what comes down from a mother's family rather than a father's. The Moon as the matri karaka and the birth chart's 4th lord located in the D40 are the two placements a reading is built from, with the fourth house of the D40 itself as the third.

The broader use — the general auspicious and inauspicious balance of a chart — is how the varga usually appears in modern practice, and it is the vaguer of the two. Read that way, the D40 is a check on the rest of a reading rather than a source of one: agreement between the D40 and the major vargas is confirming, and disagreement is a reason to re-examine the birth time rather than a finding.

The honest statement about this chart is that it is minor. It carries little weight in the Vimshopaka scheme, it has almost no classical commentary, and at forty-five minutes of arc per division it is more sensitive to a birth-time error than almost anything else in the system. Those three facts together mean it should never lead a reading.

Each sign is divided into forty Khavedamsas of 0 degrees 45 minutes. In an odd sign the count starts from Aries and in an even sign from Libra. The two start signs are the equinoctial points, which is the same construction the D60 uses in a different form.

That rule is the whole difference between a divisional chart and a decorative second drawing of the birth chart. The start sign — which sign the parts are counted from — is fixed per varga by classical text and is not the cyclic multiplication most calculators use. The two agree only for divisors 16, 20 and 27.

Parashara lists the Khavedamsa among the sixteen in the sixth chapter of the Brihat Parashara Hora Shastra with the odd-Aries even-Libra rule. The assignment given for it is matri-kula — the mother's line — and, more loosely, the general balance of auspicious and inauspicious effects in a chart.

Unlike the D9, the D10 or the D30, the Khavedamsa attracted almost no commentary. There is no substantial classical literature telling a reader how to use it, and modern treatments are largely extrapolation. This page publishes the chart because the engine computes it correctly and because a Shodashavarga with a hole in it is not a Shodashavarga — not because there is a rich technique behind it that there is not.

1. Read the Moon first As the significator of the mother, the Moon's D40 placement is the varga's clearest line in its classical assignment. Dignity and house, in that order.
2. Locate the birth chart's 4th lord in the D40 The specific statement about how the maternal theme develops. As everywhere in this system, the lord seen in the division says more than the division's own house.
3. Use the D40 as a check rather than a source Compute it after the D1, D9 and the relevant major varga, and ask whether it agrees. That is a legitimate use of a minor division. Building a reading on it is not.
4. Verify the birth time before believing anything in it At forty-five minutes of arc a division, the D40 ascendant changes about every three minutes. Unless your birth time is rectified, the D40 lagna is not a fact about you.
5. Do not stretch the classical assignment There is very little classical guidance on how to read this varga. Modern extensions of it are extrapolation, and a page that presents them as tradition is inventing a lineage the technique does not have.

A planet occupying the same sign in the birth chart and in the D40 is vargottama in this division — literally 'best in division'. The reading is stability rather than strength: the planet is doing the same thing at two resolutions of one chart, so whatever it signifies is consistent rather than conditional. The result table above marks them.

Two cautions. A consistently difficult placement is also vargottama, and the reading is then that the difficulty is stable. And in the D12 and the D60 the division counts from the sign itself, so a planet at the very start of a sign is vargottama by construction rather than by merit — a property of the rule and not a dignity. The vargottama calculator checks every planet against every division at once.

A wrong divisional chart does not look wrong. It renders cleanly, it is internally consistent, and nothing warns you — which is why the same three mistakes have propagated across the internet for twenty years. All three come from computing a varga with arithmetic instead of with its classical rule.

The cyclic shortcut. Multiplying the sign index by the divisor and taking the result modulo twelve is a tempting one-liner and it agrees with Parashara only for divisors 16, 20 and 27. For 12 and 60 it always yields a multiple of twelve — Aries — so it discards the planet's own sign and puts an entire chart in one sign. A D12 or D60 in which every planet shares a sign is this bug, and it is common enough that most readers have seen one without recognising it.

The missing odd-even reversal. The D7 counts from the 7th sign in an even sign and the D10 from the 9th. A generic divisor ignores both, which displaces every even-sign planet by six signs in a D7 and eight in a D10 — roughly half the chart, moved half the zodiac, with no symptom at all.

Treating the D30 as an equal division. The Trimsamsa has five unequal bands per sign, reversed in even signs. Dividing by thirty instead produces a chart that is wrong at every degree of every sign, and one that shows planets in Cancer or Leo — signs a real Trimsamsa cannot contain.

The check for this varga: odd signs count from Aries and even signs from Libra, the two equinoctial signs. If a D40 you have been given anywhere fails that test, the start-sign rule was not applied and every placement in it is suspect.

The start-sign rules this site uses are stated in the engine and pinned by a test against a hand-derived chart, with a published citation for each of the sixteen. That is not a claim of infallibility; it is a claim that the rules are written down where they can be checked, which is the only kind of claim a calculator can honestly make.

A Khavedamsa division is 45 minutes of arc wide. The ascendant moves through roughly one degree every four minutes of clock time, so the D40 ascendant holds for about 3.0 minutes before it changes sign. That figure is an average: the rate varies with latitude and with which sign is rising, and near the poles it varies a great deal.

Planets are far steadier than the ascendant, which is why a rounded birth time damages a divisional chart unevenly rather than uniformly. The Moon is the fastest of them and changes Khavedamsa about every 82 minutes; the Sun takes around a month per sign in the birth chart and correspondingly longer per division; Jupiter and Saturn are effectively fixed across a whole day. So if your recorded time is uncertain, distrust the ascendant first and the Moon second, and read the slow planets with confidence.

This page assumes a rectified birth time — a time established or confirmed against events, rather than one recalled to the nearest quarter hour. Every divisional chart beyond the D9 is highly sensitive to birth time, and the finer ones are not merely less reliable on a rounded time but arbitrary: at half a degree per division the D60 ascendant changes about every two minutes, so a time rounded to five minutes leaves two or three equally likely charts and no way to choose between them. If you do not have a time you trust, the honest thing is to read the birth chart and the Navamsa and stop there.

The ascendant is not a property of the instant alone. It is the point of the ecliptic rising over a particular horizon, so it is a function of the moment and of the coordinate together, and the two trade off exactly: the sky turns one degree every four minutes, and one degree of longitude is four minutes of local time. Moving 45 minutes of arc of longitude — about 77 km east or west at Indian latitudes — moves the ascendant by one whole Khavedamsa part, which is to say it hands you a different D40 ascendant and rotates every house in the chart above.

Latitude matters separately and less obviously. It does not shift the clock, it changes how fast each sign climbs — the ascensional difference — so two places on the same meridian and the same instant still rise different degrees, and the gap grows the further from the equator you are. This is why a chart cast for a state capital is not a rounding of a chart cast for a village two districts away; it is a different chart that happens to look plausible.

So enter the town you were actually born in. The place search above accepts any village, town or city a geocoder knows, not a shortlist of metros, and it prints the latitude, longitude and timezone it used above the result so you can check them against a map. Since a D40 division is the unit this page is built from, a birth place picked for convenience damages the result in the same way and by the same mechanism as a birth time rounded to the nearest quarter hour.

The Khavedamsa does not describe your mother. It describes a maternal theme in your own chart, and your mother has her own horoscope, which is the chart that describes her.

It is not an auspiciousness score. The classical phrase about auspicious and inauspicious effects is a general one and does not resolve into a number, and any tool printing one is inventing.

It should not be read on an unrectified birth time. At three minutes per D40 ascendant sign, a rounded birth time produces a D40 lagna that is essentially arbitrary.

Two limits apply to every page in this family and are worth stating in one place. Divisional charts beyond the D9 are highly birth-time sensitive, and every reading here assumes a rectified birth time. And nothing on this site is medical, legal or financial advice: a chart is a traditional interpretive framework, not a diagnosis, not a forecast, and never a reason to delay professional help.

Parashara's sixteen divisions are a single instrument, not sixteen instruments. The birth chart is cut at sixteen different resolutions — halves, thirds, quarters, sevenths, ninths, tenths, twelfths, sixteenths, twentieths, twenty-fourths, twenty-sevenths, thirtieths, fortieths, forty-fifths and sixtieths — and a planet's condition is judged from how it behaves across them rather than from any one. The D40 is one of those sixteen and is read in that company.

The weighting is called Vimshopaka Bala, twenty-point strength, and it is where the tradition states which divisions carry most. D1, D9 and D60 take the largest shares; the D2, D3, D7, D10 and D12 sit in the middle; the D16, D20, D24, D27, D40 and D45 carry least. That ordering is worth respecting. A reading built on a minor varga against the evidence of the major ones is almost always reading a birth-time error.

Two of the sixteen are not equal divisions and must never be computed with a generic divisor. The D30 Trimsamsa has five unequal bands per sign, reversed in even signs. The D60 Shashtiamsa is an equal division for the rashi but its sixty deities are enumerated forwards in odd signs and backwards in even ones. Beyond those, the start-sign rule differs per varga and only coincides with the cyclic shortcut for divisors 16, 20 and 27 — for 12 and 60 the shortcut collapses the whole chart into Aries. Every chart on this site uses the classical rules, which are pinned by a test against a hand-derived chart.

D8 Ashtamsa and D11 Rudramsa are deliberately absent from this engine and from this site. They are not part of Parashara's sixteen, and the published rules for them disagree with each other, so there is no single chart to compute. Publishing one would mean choosing a rule and not saying so.