Dashamsa D10 Calculation: Odd and Even Signs, with Examples

How do you calculate the Dashamsa D10 sign?

This is the Parashari sign-assignment method used by Astrogyana's current D10 calculation. It derives a divisional placement from a sidereal birth coordinate. A correct placement is a calculation result; it does not establish a job title, promotion date or guaranteed career outcome.

Odd and even refer to zodiac sign numbers

Number the signs from Aries = 1 to Pisces = 12. The odd group is Aries, Gemini, Leo, Libra, Sagittarius and Aquarius. The even group is Taurus, Cancer, Virgo, Scorpio, Capricorn and Pisces. Use the occupied sign's number, not the planet's house number, degree number or position in a table.

Taurus is sign 2, so its count starts from the ninth sign from Taurus: Taurus one, Gemini two, Cancer three, Leo four, Virgo five, Libra six, Scorpio seven, Sagittarius eight and Capricorn nine. Even does not mean reversing the direction of counting.

The rule is stated in the cited Hora Shastra chapter 6, verse 13, and explained in P. V. R. Narasimha Rao's section 6.2.10. Other divisional charts have different starting rules. Keep the D10 rule attached to the D10 label.

Compare all ten parts of Aries and Taurus

Here d means the position inside the natal sign. Each interval includes its lower edge and excludes its upper edge. Exactly 3° begins part two, exactly 6° begins part three, and exactly 27° begins part ten. At 30° the natal sign changes, so the process restarts for the next sign.

A planet at Aries 7°10′ and one at Taurus 7°10′ both occupy part three. But the Aries position maps to Gemini, while the Taurus position maps to Pisces. The same within-sign degree does not make the D10 destination the same.

The table is a complete comparison of two natal signs, not a list of ten houses. Aries's first column starts from Aries; Taurus's starts from Capricorn. Reading both columns from Aries would erase the odd/even distinction.

A three-step calculation from a full longitude

1. Identify the natal sign and subtract its starting longitude to get the within-sign position.
2. Divide that position by 3°, take the whole-number part and add one to get the part number from 1 to 10.
3. Choose the starting sign by odd/even parity, then count the required number of signs inclusively.

For 134°30′, Leo begins at 120°, leaving 14°30′. This falls in 12° to below 15°, the fifth part. Leo is odd, so count Leo, Virgo, Libra, Scorpio, Sagittarius. The D10 destination is Sagittarius.

For 231°, Scorpio begins at 210°, leaving exactly 21°, the eighth part. Scorpio is even, so start from Cancer, its ninth sign. Count eight signs from Cancer and reach Aquarius. The two examples require the same part-finding operation but different starting logic.

Eight positions with every intermediate result

These are independent teaching positions, not a real birth chart. The last two rows also check wraparound: Capricorn's even-sign start is Virgo, whose tenth destination is Gemini; Pisces's first part starts from Scorpio.

Try checking the rows in reverse. Given an even natal sign and a printed D10 result, first reconstruct the correct ninth-sign start, then verify the selected part. This catches a wrong starting sign even when the arithmetic used to find the part was correct.

Why one arcsecond matters near 3°

The first two rows differ by one arcsecond: Aries 2°59′59″ is in part one, while Aries 3°00′00″ is in part two. The Taurus pair shows the same boundary with different D10 destinations. A display rounded to the nearest minute can make both positions look like 3°00′.

Calculate from the original precision and round for display afterwards. At a natal sign boundary, normalize the full longitude before applying the odd/even rule. For example, 330° is Pisces 0°, not Aquarius 30°.

The sensitivity belongs to the coordinate boundary. It does not mean every small change in recorded birth time changes every D10 placement. Whether a particular placement changes depends on its actual distance from a boundary and how the underlying coordinate changes.

Why the tenth harmonic is not automatically this D10

Take the 33° example. Multiplying the full longitude by ten gives 330°, Pisces. The stated D10 rule gives Aquarius because Taurus 3° is part two counted from Capricorn. The shortcut therefore does not reproduce this assignment.

A divisional-chart label names the number of portions but does not replace the assignment rule. The Drekkana D3 guide gives another example of this distinction; the Navamsa guide explains its own separate mapping.

For a different assignment, the Dwadashamsa D12 guide counts twelve 2°30′ parts from the natal sign for both odd and even signs. Its reverse check finds a possible degree interval from a D1–D12 pair.

Read the resulting chart without confusing signs and houses

To obtain the D10 ascendant, apply the same D10 rule to the natal ascendant's sidereal longitude. A house label then needs that derived ascendant and the chart's stated house convention. The word “Aquarius” alone does not tell you a house number.

Before comparing two Kundli reports, match the birth inputs, time zone, ayanamsa, unrounded coordinates and D10 method. Check whether a table prints natal degrees beside D10 sign names; those degrees may still belong to the birth chart and should not be read as a new physical sky longitude.

Record the input, rule and result as separate notes. That makes a difference explainable and gives a traditional interpretation a clearly identified calculation to work with, without turning the calculation itself into a prediction.

Frequently asked questions