D3 Chart Calculator (Drekkana)
Each sign cut into three decanates of 10°: every graha's drekkana sign, degree and house, plus the D3's third house and where its lord stands.
A worked example
Below is the drekkana the engine produces for one illustrative chart, third-house callout included. The walk-through further down uses its figures and no others.
Chart: 13 December 1961, 05:30, Channarayapatna, India (Lahiri ayanamsa)
Drekkana (D3) — 13 December 1961
A Pisces drekkana lagna with Venus and Rahu on it; Jupiter alone holds the 3rd house, Taurus, whose lord Venus sits in the lagna.
| Body | Sign | Degrees | House |
|---|---|---|---|
| Ascendant | Pisces | 4°10′ | 1 |
| Sun | Cancer | 22°16′ | 5 |
| Moon | Aquarius | 9°55′ | 12 |
| Mars | Cancer | 23°44′ | 5 |
| Mercury | Cancer | 16°43′ | 5 |
| Jupiter | Taurus 3rd house | 9°21′ | 3 |
| Venus | Pisces | 19°40′ | 1 |
| Saturn | Capricorn | 12°51′ | 11 |
| Rahu | Pisces | 23°05′ | 1 |
| Ketu | Virgo | 23°05′ | 7 |
The 3rd house of the drekkana
The 3rd house of the D3 is Taurus, and Jupiter sits there. Its lord, Venus, is in Pisces, the 1st house of the D3.
Illustrative birth data used to demonstrate the output. It is not a customer chart, and no birth details you enter above are ever stored, put in a URL, or published.
Ten degrees is the cleanest slice in the whole varga scheme: three to a sign, thirty-six around the zodiac, and every boundary falls on a round number. Parashara's drekkana gives each of those thirds to one of the three signs of the same element, so a fire sign's decanates are all fire and a water sign's all water. The chart that results, the D3, is the one the texts set aside for co-born brothers and sisters, and by extension for the courage and initiative of the third house. Enter a birth date, time and place and this D3 chart calculator returns the drekkana with every graha placed, then opens up the D3's third house: who lives there and where its ruler has gone.
Thirds of a sign, signs of a trine
The rule takes one line. From 0° to 10° a body's drekkana is its own sign; from 10° to 20° it is the fifth sign counted from there; from 20° to 30° it is the ninth. Because the first, fifth and ninth signs from any sign share its element, every drekkana stays inside one triplicity — Aries runs Aries, Leo, Sagittarius; Taurus runs Taurus, Virgo, Capricorn.
There is no odd-and-even switch here, unlike the hora or the saptamsa, and no starting sign to look up. For the D3 degree, take how far the body has gone into its ten-degree slice and triple it: 13°20′ of a sign is 3°20′ into the second decanate, so 10° of the D3 sign.
Other drekkana schemes exist in the later literature, some of them counting from movable, fixed and dual signs instead of the trine. This page and the engine behind it use Parashara's; its signs were checked against that rule on six reference charts and matched every body.
Why siblings, and why the third house
When the classical text turns, in its seventh chapter, to what each division is for, it gives the drekkana to happiness through co-born brothers and sisters. The third house of any chart is the house of younger siblings, effort and nerve, so the D3 is in effect a magnified third house, and readers begin there.
A reader typically starts with the drekkana's rising sign and its ruler, moves to the D3 third house — its sign, its tenants, its ruler — and then checks Mars, natural significator of brothers and of daring, along with wherever the natal third lord has landed. All of it is weighed against the natal chart. The drekkana does not count siblings, and nothing on this page claims to.
The 1961 drekkana, step by step
The 1961 chart rises at 11°23′ of Scorpio, just past the first boundary, which is Scorpio's second decanate, and the fifth sign from Scorpio is Pisces, so the D3 lagna is Pisces at 4°10′ — the 1°23′ covered, times three.
Late Scorpio, where the Sun (27°25′), Mars (27°54′) and Mercury (25°34′) sit, is the last decanate, and the ninth sign from Scorpio is Cancer. Venus, 16°33′ in, is in the middle third and joins the lagna in Pisces. The Moon, 3°18′ into Aquarius, keeps Aquarius, the twelfth house. Jupiter, 13°07′ into Capricorn, moves to Taurus, the fifth from Capricorn, while Saturn, only 4°17′ in, keeps Capricorn. Rahu, late in Cancer, crosses to Pisces; Ketu opposite falls in Virgo.
Counting from Pisces, the third house is Taurus, and Jupiter alone occupies it. Its lord is Venus, which sits in the lagna, Pisces — the sign of Venus's exaltation. Cancer, the fifth, carries the Sun, Mars and Mercury together.
Where the lines fall
With boundaries at 10° and 20° there are only two places in a sign to watch. The example's lagna is about 1°23′ past the first, the kind of margin that turns on the birth time: the lagna moves through a ten-degree decanate in well under an hour on average, varying with latitude and the rising sign, and a slightly earlier birth would have left it in Scorpio's first decanate.
Among the planets, Saturn and the Moon sit comfortably inside their first decanates, the late-Scorpio trio is well past the 20° line, and Venus is roughly three and a half degrees short of it. Jupiter has cleared the first line by three degrees. So in this chart the planets' D3 signs are robust, and the houses hang on the lagna.
How to read the callout
Below the chart, a panel spells out the third house: its sign, anything in it, and the house and sign its ruler occupies. An empty third is common and means nothing alarming; the lord then carries the house. When the third is occupied, the occupants are read with the lord, not instead of it.
The drekkana also has a second, older use: the thirty-six decanate images describe a body's character in some classical texts. This page does not print those images or interpret them; it gives the chart, the third house and the lord, and leaves the reading to the person doing it.
The outer planets have no drekkana in the old scheme and are omitted, and the question of when is a matter for the dasha periods, not for this chart.
Classical source. Brihat Parasara Hora Sastra, chapter 6, for how the drekkana is cast (the first ten degrees to the sign itself, the next ten to the fifth from it, the last ten to the ninth), and chapter 7, which assigns it to co-born siblings.
Frequently asked questions
How is the drekkana chart calculated?
Split each sign into three parts of 10°. A body in the first part keeps its own sign, one in the second goes to the fifth sign from it, and one in the third goes to the ninth. Triple the distance into that slice for the D3 degree.
Which house of the D3 chart shows siblings?
The third, counted from the D3's own lagna. Readers note its sign, its occupants and its lord, then add Mars and the birth chart's third lord. They describe; they do not number anyone's brothers or sisters.
Is drekkana the same as drishkana or decanate?
Yes. Drekkana and drishkana are two spellings of the Sanskrit name, decanate is the Greek-derived word for the same ten-degree third, and D3 is the shorthand used in software. All four words point to one chart, built from thirds of signs.
Why does every drekkana stay in the same element?
Because the rule counts the first, fifth and ninth signs from the sign itself, and those three always share an element. A fire sign's three decanates are the three fire signs; an earth sign's are the three earth signs; and so on for air and water.
Does the D3 chart say whether I will have a brother or sister?
No — nothing here attempts that. The drekkana sets out the classical factors for siblings and courage as one part of a whole-chart reading. Family facts are facts; a chart is a description to be read against them, not a substitute for them.
Why did my D3 lagna change when I changed the birth time?
The lagna enters a new decanate every time the rising degree crosses 10° or 20° of its sign, which happens several times a day. Since all twelve D3 houses hang from that rising sign, a nudge to the time shifts them together; planets cross decanate lines much more rarely.
This calculation is one panel of the full chart
The free birth chart runs every calculation on this site for one set of birth details at once — 23 divisional charts, 56 dasha systems, ashtakavarga, yogas and every bala, including this one.
Related calculations
- Navamsa (D9) ChartDraw the D9 navamsa chart, with each planet's ninth-part sign and house and every vargottama placement flagged against the Rasi.
- D10 Dasamsa ChartThe D10 dasamsa: ten 3° parts per sign, each body's D10 sign and house, and the tenth house of the D10 examined.
- D7 Saptamsa ChartThe D7 saptamsa — seven parts of 4°17′ per sign, read classically for progeny, with the fifth house of the D7 examined.
- D2 Hora ChartThe D2 hora — two halves per sign, every body in the Sun's Leo or the Moon's Cancer, the division Parashara gives to wealth.
- D4 Chaturthamsa ChartThe D4 chaturthamsa — four quarters per sign, counted through the sign's kendras, read for fortune, residence and property.
- D16 Shodasamsa ChartThe D16 shodasamsa — sixteen narrow parts per sign, started from Aries, Leo or Sagittarius by sign type, read for conveyances and comforts.
- D30 Trimsamsa ChartThe D30 trimsamsa — five unequal bands per sign, each ruled by one of the five non-luminary planets, read classically for difficulties.
- D60 Shashtiamsa ChartThe D60 shashtiamsa: sixty half-degree parts per sign, each body's D60 sign and house, and the named deity of its part.
Other calculations
- Vimsopaka BalaScore each planet out of 20 on its dignity across the vargas — four schemes, from six charts to sixteen.
- Bhava BalaStrength of the twelve houses — lord, direction and aspect combined, then ranked one to twelve.
- Vimshottari DashaThe standard nakshatra dasha: 120 years across nine lords, with the period you were born partway through shown as a balance.
- Kalachakra DashaSign-based dasha periods read off the Moon's nakshatra pada, running forward or backward through the zodiac.
- Ashtottari DashaThe 108-year conditional dasha — eight lords instead of nine, counted from Ardra rather than Ashwini.
- Gulika, Mandi and UpagrahasAll eleven upagrahas — the five computed from the Sun and the six taken from the divisions of the day.
- Moon Sign (Rashi)The Moon's sidereal sign — your rashi — with nakshatra, pada and both lords, found from a birth date even without a time.
- Lagna (Ascendant)The rising sign at the birth moment — its degree, nakshatra and pada — and where the lagna lord sits.
- Sun Sign (Vedic and Western)Your Sun sign twice over — Vedic sidereal and Western tropical — with the ayanamsa gap and a cusp flag.
- Birth TithiYour birth tithi and the five limbs of the panchang at the birth moment, with the tithi's start and end times.
- AtmakarakaFind your Atmakaraka and the seven karakas below it, ranked by degrees in sign with Rahu counted backwards.
- Ishta DevataTrace the ishta devata from the Atmakaraka's navamsa sign to the twelfth sign beyond it, the way the Jaimini Sutras do.
- Mangal DoshaManglik or not: Mars in the 2nd, 4th, 7th, 8th or 12th counted whole-sign from the lagna, with the Moon and Venus counts for reference.
- Kaal Sarp DoshaChecks whether the Sun through Saturn all lie between Rahu and Ketu, and names the form from Rahu's house.
- Pitra DoshaThe five traditional pitru dosha indicators, each shown as met or not met in your chart — indicators, not a verdict.
- Gemstone (Traditional)The traditional ratna for your lagna lord and the two trikona lords, beside what the classical text prescribes instead.
- DarakarakaFind the Dara Karaka under both classical schemes, with its D9 sign and its house counted from both ascendants.
- AmatyakarakaFind the Amatya Karaka, second only to the soul planet, with its D10 sign and its house from both lagnas.
- Arudha LagnaCount from each house to its lord and on again to find the AL and every pada of the birth chart, exceptions applied.
- Upapada LagnaThe arudha of the twelfth house, which Jaimini practice consults on marriage, with the second sign from it.
- ShadbalaThe six-fold strength of the Sun through Saturn, each component listed, totalled in rupas and measured against its classical minimum.
- AshtakavargaSarvashtakavarga points for all twelve signs, counted as houses from the Lagna, with each planet's own bindu table.
- Bhrigu BinduThe Moon–Rahu midpoint of the Nadi tradition: the arc, its half, the point's sign and house, and the other convention beside it.
- Indu LagnaThe sign counted from the Moon with the kalas of the ninth lords from the lagna and the Moon, traditionally consulted on wealth.
- Nadi DoshaCompares two birth nakshatras: Adi, Madhya or Antya nadi, the 8-point Nadi koota, and the traditional exceptions.
- Bhakoot DoshaCounts one Moon sign from the other: the 2-12, 5-9 and 6-8 doshas, the 7-point Bhakoot koota and the lord exceptions.
- Shani DhaiyaLists Saturn's two-and-a-half-year passages through the 4th and 8th signs from your Moon sign, with dates.
- Yogini DashaYogini dasha: eight periods of 1 to 8 years in a 36-year round, counted from the Moon's nakshatra, with dates and sub-periods.
- Chara Dasha (Jaimini)Jaimini chara dasha: twelve sign periods from the lagna, each sign's years counted to its lord, dated across two cycles.