D24 Chart Calculator (Chaturvimsamsa)

Mercury is the karaka of learning in its analytical sense and Jupiter in its expansive one — Mercury acquires, Jupiter understands. Both, plus the birth chart's 4th and 5th lords located in the D24, carry most of a classical reading. The fourth is formal schooling and the fifth is intelligence and the capacity to hold what has been learned.

The D24 is read for the *manner* of learning rather than for academic results. A chart in which Mercury is strong and Jupiter weak describes fast acquisition without much settling; the reverse, slow acquisition that holds. Neither is a grade, and neither is a prediction about an examination.

The Sun and Moon are unusually prominent here because they own the two start signs. A planet's D24 sign is always counted from a luminary's own sign, so the whole chart is organised around the solar and lunar poles, and reading the two luminaries' own D24 positions is a good second step after Mercury and Jupiter.

Each sign is divided into twenty-four Chaturvimsamsas of 1 degree 15 minutes. In an odd sign the count starts from Leo; in an even sign it starts from Cancer. The two start signs are the luminaries' own signs, which is a deliberate feature of this varga rather than a coincidence.

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 gives the Chaturvimsamsa in the sixth chapter of the Brihat Parashara Hora Shastra with the Leo-and-Cancer start rule, and assigns it to vidya — learning. The alternative name Siddhamsa, the division of attainment, appears in later texts and refers to the same twenty-four parts.

The choice of the Sun's and Moon's signs as the two starting points is worth noticing. Learning in this tradition has a conscious and structured face and a receptive and absorptive one, and beginning the odd signs at Leo and the even at Cancer builds that distinction into the division itself.

1. Read Mercury and Jupiter as a pair Acquisition and comprehension. Their relative dignity in the D24 is the fastest useful reading the chart gives, and it describes a learning style rather than an ability level.
2. Read the D24 ascendant and its lord The Chaturvimsamsa lagna frames how a person approaches study: whether it is structured, absorbed, contested or done in company. The lord's house says where that approach is actually applied.
3. Locate the birth chart's 4th and 5th lords in the D24 The fourth for formal education and the fifth for intelligence and retention. Both lords, seen in this division, describe how those two themes develop rather than how they begin.
4. Check the Sun and Moon, because the division is built on them Every D24 sign is counted from Leo or Cancer, so the luminaries are structurally central to this varga in a way they are not in most. Their own D24 placements are worth reading in their own right.
5. Do not read the D24 for examination results It has no mechanism for one. Examinations are decided by preparation, teaching, health and circumstance, and a chart that appeared to predict them would be making a claim nobody has ever been able to support.

A planet occupying the same sign in the birth chart and in the D24 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: every D24 sign is counted from Leo or from Cancer, the two luminaries' own signs, according to the parity of the sign a planet occupies. If a D24 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 Chaturvimsamsa division is 1 degrees 15 minutes wide. The ascendant moves through roughly one degree every four minutes of clock time, so the D24 ascendant holds for about 5.0 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 Chaturvimsamsa about every 2.3 hours; 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 1 degrees 15 minutes of longitude — about 129 km east or west at Indian latitudes — moves the ascendant by one whole Chaturvimsamsa part, which is to say it hands you a different D24 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 D24 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 D24 does not predict examination results, admissions or grades, and using it to reassure or frighten a student is a misuse of it that does measurable harm at exactly the wrong time of somebody's life.

It does not measure intelligence. It describes a manner of learning, which is a different thing, and no ranking of people comes out of it.

A weak D24 is not a reason to change a course, a subject or a school. Those decisions belong with teachers and families who know the actual student.

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 D24 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.