D10 chart calculator (dasamsa chart online)

Enter the date, time and place of birth to draw the dasamsa (D10) chart: the D10 sign of the Lagna and of each of the nine planets, the clock window during which the D10 Lagna stays the same, and the D10 chart beside the birth chart in the North or South Indian style. No birth time? It lists each planet’s D10 sign through the day.

Date, time and place of birth

Date of birth

Time of birth

Place of birth

UTC offset at the place of birth

Time not known (show the whole day)

The Lagna stays in one dasamsa for about 12 minutes on average (longer where an odd sign hands over to the next), so the D10 Lagna needs the birth time to the minute and the place; the planets need only the date, time and UTC offset. Use the clock time on the birth record. Choosing a city sets its usual UTC offset; change it if summer time or India’s war time (UTC+06:30, 1941–45) was in force. For a place not listed, choose “Other place” and enter its latitude and longitude in decimal degrees (the Lagna is worked out up to 66° north or south).

The dasamsa in the classical texts

The dasamsa, “tenth part”, is one of the sixteen divisional charts (shodashavarga) set out in the Brihat Parashara Hora Shastra. Each sign of 30° is split into ten parts of 3°, and every part is assigned a sign. The text names the dasamsa as the varga for a person’s power and position, and in the Parashari tradition it is the chart astrologers turn to for work, profession and public standing, read alongside the 10th house of the birth chart. The same verse gives each of the ten parts a guardian of one of the directions (the dikpalas): Indra, Agni, Yama, Rakshasa (Nirriti), Varuna, Vayu, Kubera, Ishana, Brahma, Ananta, in that order in an odd sign and in the reverse order in an even sign.

How the dasamsa is worked out

The rule depends only on whether the sign is odd or even. In an odd sign (Mesh, Mithun, Singh, Tula, Dhanu, Kumbh) the ten dasamsas run on from the sign itself; in an even sign (Vrishabh, Kark, Kanya, Vrishchik, Makar, Meen) they start from the 9th sign counted from it. So a planet at 17° of Singh is in the 6th dasamsa (15° to 18°) and, Singh being odd, the count starts from Singh: its D10 sign is Makar. At 17° of Kanya the part is again the 6th, but Kanya is even, so the count starts from Vrishabh, the 9th sign from Kanya, and ends at Tula.

The ten dasamsas of each sign (1st: 0°–3°, 2nd: 3°–6°, … 10th: 27°–30°)
Sign	1	2	3	4	5	6	7	8	9	10
Mesh Odd: from itself	Mesh	Vrishabh	Mithun	Kark	Singh	Kanya	Tula	Vrishchik	Dhanu	Makar
Vrishabh Even: from the 9th	Makar	Kumbh	Meen	Mesh	Vrishabh	Mithun	Kark	Singh	Kanya	Tula
Mithun Odd: from itself	Mithun	Kark	Singh	Kanya	Tula	Vrishchik	Dhanu	Makar	Kumbh	Meen
Kark Even: from the 9th	Meen	Mesh	Vrishabh	Mithun	Kark	Singh	Kanya	Tula	Vrishchik	Dhanu
Singh Odd: from itself	Singh	Kanya	Tula	Vrishchik	Dhanu	Makar	Kumbh	Meen	Mesh	Vrishabh
Kanya Even: from the 9th	Vrishabh	Mithun	Kark	Singh	Kanya	Tula	Vrishchik	Dhanu	Makar	Kumbh
Tula Odd: from itself	Tula	Vrishchik	Dhanu	Makar	Kumbh	Meen	Mesh	Vrishabh	Mithun	Kark
Vrishchik Even: from the 9th	Kark	Singh	Kanya	Tula	Vrishchik	Dhanu	Makar	Kumbh	Meen	Mesh
Dhanu Odd: from itself	Dhanu	Makar	Kumbh	Meen	Mesh	Vrishabh	Mithun	Kark	Singh	Kanya
Makar Even: from the 9th	Kanya	Tula	Vrishchik	Dhanu	Makar	Kumbh	Meen	Mesh	Vrishabh	Mithun
Kumbh Odd: from itself	Kumbh	Meen	Mesh	Vrishabh	Mithun	Kark	Singh	Kanya	Tula	Vrishchik
Meen Even: from the 9th	Vrishchik	Dhanu	Makar	Kumbh	Meen	Mesh	Vrishabh	Mithun	Kark	Singh

In bold: the dasamsa that falls in the sign itself (the 1st of an odd sign, the 5th of an even sign).

Where the D10 Lagna holds longer

Read down the table from an odd sign to the even sign after it: the 10th dasamsa of Mesh and the 1st of Vrishabh are both Makar, the 10th of Mithun and the 1st of Kark both Meen, and so on round the zodiac. At those six sign edges the D10 sign does not change even though the birth-chart sign does. From an even sign into the next odd sign it always changes. For the Lagna this means a D10 window that spans one of those edges lasts about twice as long as usual, and the calculator says so when it happens.

Birth time and the D10 Lagna

The Lagna moves about one degree every four minutes, so it crosses a 3° dasamsa in about 12 minutes on average: faster when a sign of short ascension is rising, slower for one of long ascension, and the difference grows with the distance from the equator. A recorded time that was rounded to the nearest quarter hour can therefore sit in the wrong dasamsa. The calculator shows the clock times between which the D10 Lagna stays the same and warns when the next or previous one is four minutes or less away; the planets’ D10 signs, except the Moon’s, are steady for days.

Worked example

For a birth in Mumbai, 2 October 1969, 10:21 IST, the Lagna was at 7°40′ in Vrishchik, in its 3rd dasamsa, so the D10 Lagna is Kanya. The Moon, at 1°32′ in Mithun, is in Mithun in the D10 chart. In the same sign in both charts: Moon.

Dasamsa chart (D10) for Mumbai, 2 October 1969, 10:21 IST, North Indian style.

As Lagna (ascendant), Su Sun, Mo Moon, Ma Mars, Me Mercury, Ju Jupiter, Ve Venus, Sa Saturn, Ra Rahu, Ke Ketu.

Birth chart and D10 for Mumbai, 2 October 1969, 10:21 IST (sidereal, Lahiri; mean node)
Planet	Birth chart (D1)	Part of sign	Dasamsa (D10)
Lagna	Vrishchik 7°40′	3rd of 10	Kanya
Sun	Kanya 15°23′	6th of 10	Tula
Moon	Mithun 1°32′	1st of 10	Mithun
Mars	Dhanu 13°28′	5th of 10	Mesh
Mercury	Kanya 9°39′	4th of 10	Singh
Jupiter	Kanya 21°18′	8th of 10	Dhanu
Venus	Singh 17°36′	6th of 10	Makar
Saturn	Mesh 14°03′	5th of 10	Singh
Rahu	Kumbh 26°39′	9th of 10	Tula
Ketu	Singh 26°39′	9th of 10	Mesh

How the calculator works

Convert the birth time to Universal Time with the UTC offset chosen.
Compute the sidereal (Lahiri) positions of the Sun, Moon, Mars, Mercury, Jupiter, Venus, Saturn, Rahu and Ketu in your browser, from a published planetary theory checked against NASA/JPL Horizons to within a few thousandths of a degree.
With a place, compute the Lagna from the sidereal time there (as the Lagna calculator does) and find the clock window of its dasamsa. The Lagna is not worked out beyond 66° north or south.
Find each body’s 3° part and apply the odd-even rule above.
Flag a D10 Lagna change within four minutes of the time entered, the Moon within about 30 minutes of a dasamsa edge and the other planets within 0.05° of one. Without a time, work through the whole day.

D9 chart calculator: the navamsa, the divisional chart most often read with the birth chart.
D7 chart calculator: the saptamsa, seven parts of each sign.
D60 chart calculator: the shashtiamsa, sixty half-degree parts of each sign.
Lagna calculator: the rising sign of the birth chart and when it changes.

Frequently asked questions

What is a D10 chart?

The D10 chart, or dasamsa chart, is the tenth divisional chart of Vedic astrology. Every sign is cut into ten parts of 3 degrees; each part is given a sign, and the Lagna and each planet are placed in the sign of the part they occupy. The result is drawn as a chart of its own and read next to the birth chart.

How do you calculate the dasamsa?

Find which of the ten 3° parts of its sign a planet is in: 0° to 3° is the first, 3° to 6° the second, and so on. In an odd sign (Mesh, Mithun, Singh, Tula, Dhanu, Kumbh) count that many signs on from the sign itself; in an even sign (Vrishabh, Kark, Kanya, Vrishchik, Makar, Meen) start the count from the 9th sign from it. This is the rule of the Brihat Parashara Hora Shastra, and the table on this page lists all 120 results.

Is the D10 chart used for career?

In the Parashari tradition the dasamsa is the chart consulted for a person's work, profession and standing in society, usually together with the 10th house of the birth chart. That is how the tradition uses it; this calculator gives the positions only and does not predict a career or anything else about a person.

How accurate does the birth time need to be for the D10 Lagna?

The Lagna stays in one dasamsa for about 12 minutes on average, sometimes only a few minutes and sometimes more than twenty, depending on the sign rising and the latitude. A time that is out by five or ten minutes can therefore give a different D10 Lagna and different D10 houses. The calculator shows the clock window of the D10 Lagna for the time entered and warns when it changes within four minutes.

Why is the D10 Lagna sometimes the same for twice as long?

Because of the odd-even rule, the last dasamsa of an odd sign and the first dasamsa of the even sign after it fall in the same sign: the 10th part of Mesh and the 1st part of Vrishabh are both Makar, for example. When the Lagna crosses from such an odd sign into the next one, the D10 Lagna does not change, so its window can be about twice the usual length.

What is the difference between the 10th house and the D10 chart?

The 10th house is a house of the birth chart (D1): the sign ten places from the Lagna, and the planets in it. The D10 is a separate chart built from the degrees of every planet. They are different things that the tradition reads together.

Can I make a D10 chart without the birth time?

Only partly. The Moon moves into a new dasamsa about every five or six hours, so it often changes during the day; the Sun, Mercury and Venus change every few days, the slower planets far less often. Without a time the calculator lists each planet's D10 sign through the whole day with the clock times it changes. The D10 Lagna needs the time to the minute and the place, so it is left out.

Which ayanamsa and which Rahu does the calculator use?

The sidereal zodiac with the Lahiri ayanamsa, as on the rest of this site, and the mean nodes for Rahu and Ketu. The result also says when the true node would put Rahu or Ketu in another sign.

Are my birth details saved?

No. The calculation runs in your browser and the birth details are not stored or sent. They appear in the page address only if you open or copy the share link.