D16 Chart Calculator (Shodasamsa)

Cast your D16 (Shodasamsa), the sixteenth divisional chart of Vedic astrology, from date, time, and place of birth. The tool computes your D16 Lagna with a birth-time-confidence check, every planet’s segment, deity, D16 sign and house, and renders the chart in North or South Indian style. Uses the sidereal Lahiri ayanamsa, the same engine as our Kundli, and the BPHS modality rule.

100% private - the D16 calculation runs entirely in your browser. No birth data sent anywhere.

Enter birth details

Supports 1900 onwards for better calculation reliability.

Birth time matters a lot here: a D16 segment is 1.875 degrees, so your D16 Lagna changes roughly every 7-8 minutes - about sixteen times faster than the ~2-hour D1 Lagna.

Related Tools

Quick facts

Chart / harmonicD16 (Shodasamsa, also Kalamsa), the sixteenth divisional chart
Division size16 equal segments of 1.875 deg (1 deg 52 min 30 sec) per sign
Start-sign ruleBy modality: movable from Aries, fixed from Leo, dual from Sagittarius
Presiding deitiesBrahma, Vishnu, Shiva, Surya (BPHS Ch. 6, 16), cycling; reversed for an even sign
Reachable signsAll twelve, across a whole chart
Classically read forConveyances (BPHS Ch. 7, 1-8); vehicles/comforts = later practice
D16 Lagna sensitivity~7-8 min of birth time per segment at Indian latitudes
Same-sign geometry18 of 192 cells, unevenly spread - no one-in-sixteen rule
NodesRahu/Ketu ALWAYS share one D16 sign (forced by the modality rule)
InputsDate, time, and place of birth
EngineMeeus VSOP87 + Lahiri ayanamsa; Rahu/Ketu = mean node (same engine as Kundli)
Privacy100% client-side; no birth data leaves your browser

What is the D16 (Shodasamsa) chart?

The Shodasamsa - also spelled Shodashamsa, and called the Kalamsa in the same verse - is one of the sixteen divisional charts (Shodasavarga) described in the Brihat Parashara Hora Shastra. Where the birth chart (D1) maps the whole life, each varga zooms into one domain, and the classical varga-use verse assigns the Shodasamsa to benefits and adversities through conveyances.

Like every varga, the D16 is a derived chart: it takes each planet’s exact sidereal longitude from the birth chart and re-maps it. Nothing new is observed in the sky. What makes the D16 distinctive is that its starting sign is fixed by the natal sign’s modality rather than by the natal sign itself - a rule it shares in form, but not in detail, with the Vimsamsa (D20).

How the D16 is calculated

Each sign is divided into sixteen segments of 1.875 deg. The verse rule: “Starting from Mesh for a Movable Rasi, from Simh for a Fixed Rasi and from Dhanu for a Dual Rasi, the 16 Shodashahsas... are regularly distributed.” The count then advances one sign per segment.

Natal sign modalityCounting starts from
Movable (Aries, Cancer, Libra, Capricorn)Mesh (Aries)
Fixed (Taurus, Leo, Scorpio, Aquarius)Simha (Leo)
Dual (Gemini, Virgo, Sagittarius, Pisces)Dhanu (Sagittarius)

The four presiding deities repeat four times across the sixteen segments, in reverse order for an even sign:

Segment numbersOdd signEven sign
1, 5, 9, 13BrahmaSurya
2, 6, 10, 14VishnuShiva
3, 7, 11, 15ShivaVishnu
4, 8, 12, 16SuryaBrahma

Worked example: a planet at 10 deg of Taurus is in a fixed sign, so counting starts from Leo. 10 divided by 1.875 falls in the sixth segment (index 5), and five signs on from Leo is Capricorn - so its D16 sign is Capricorn. Each varga in the family carries its own rule: the Drekkana uses a uniform trine, the Chaturthamsa walks the kendras, the Dwadasamsa counts forward from the sign itself, and the D16 counts from a modality-selected seed.

Why Rahu and Ketu share a sign in the D16

This is the property most often mistaken for a calculation error, so it is worth stating plainly. Rahu and Ketu are always exactly opposite, six signs apart. Move six signs along the zodiac and the modality is the same again - Aries and Libra are both movable, Taurus and Scorpio both fixed, Gemini and Sagittarius both dual. The two nodes therefore start their count from the same sign, sit at the same degree within their own signs, and land on the same segment number. The result is the same D16 sign, in every chart.

The same arithmetic applies to any two bodies six signs apart at the same degree, and it is independent of the node model: mean node or true node, the co-location holds. In the birth chart the nodes remain opposite as usual.

What the D16 is classically read for

The varga-use passage of the Brihat Parashara Hora Shastra (Ch. 7, 1-8) lists what each divisional chart is consulted for. Its wording for this chart is benefits and adversities through conveyances. That is the classical claim, and it is the only domain claim this page makes.

Modern practice commonly widens this to vehicles, comforts, luxuries and general happiness. That reading is later practice, not the verse’s own wording, and we label it as such rather than presenting the two as one tradition. This tool computes the chart; it does not interpret it.

What this version leaves out

This version computes the D16 chart, houses (whole-sign from the D16 Lagna), the segment deities, and the birth-time-confidence checks. It does not interpret the chart, it does not read houses for vehicle or comfort outcomes, and it ships no predictions and no remedies.

Frequently Asked Questions

What is the D16 (Shodasamsa) chart?

The Shodasamsa, also called the Kalamsa, is the sixteenth divisional chart (varga) of Vedic astrology. Each 30-deg sign is divided into sixteen segments of 1 deg 52 min 30 sec, and every planet is re-mapped to a new sign based on which segment it occupies. The classical varga-use verse in the Brihat Parashara Hora Shastra assigns this chart to benefits and adversities through conveyances. It is read alongside the birth chart (D1), not instead of it.

How is the D16 chart calculated?

By Brihat Parashara Hora Shastra Ch. 6, 16: counting starts from Aries for a planet in a movable sign, from Leo for a fixed sign, and from Sagittarius for a dual sign, then advances one sign per segment. So the starting point depends on the natal sign's modality, not on the natal sign itself - all four movable signs share one mapping, all four fixed signs another. This tool applies the rule to each planet's exact sidereal longitude from the birth chart.

What does the D16 chart show?

The Brihat Parashara Hora Shastra's varga-use verse assigns the Shodasamsa to benefits and adversities through conveyances - those translated words are the classical claim, and they are all this page asserts. Popular practice reads the D16 for vehicles, comforts and luxuries generally; that is a later interpretive gloss on the same chart, and we name it as such rather than presenting it as the verse's own wording.

Why do Rahu and Ketu land in the same sign in my D16?

Because the rule forces it. The nodes are always exactly opposite, six signs apart. Six signs later the modality repeats, so both nodes get the same starting sign and the same segment number, and therefore the same D16 sign. This happens in every chart, and it does not depend on whether a calculator uses the mean or the true node. In the birth chart they remain opposite as usual; it is only the D16 mapping that brings them together.

Who are the deities of the shodasamsas?

The Brihat Parashara Hora Shastra names Brahma, Vishnu, Shiva and Surya, cycling four times across the sixteen segments for a planet in an odd sign, and in the reverse order for an even sign. This tool shows the deity for each planet's segment; it does not attach any predictive meaning to them, because the classical text assigns the names without interpretation.

Why does exact birth time matter so much for the D16?

The ascendant crosses one 1.875-deg segment in roughly 7 to 8 minutes of clock time at Indian latitudes, against about two hours for a D1 Lagna sign. A birth time recorded to the nearest five or ten minutes is therefore not precise enough to fix the D16 Lagna. This tool reports how many minutes your entered time sits from the nearest D16 Lagna boundary, and flags any planet sitting within about 0.01 deg of a segment edge.

Does a same-sign D1 and D16 placement mean anything special?

No, and it is not even evenly distributed. Because the count starts from a modality-fixed sign rather than from the natal sign, only 18 of the 192 sign-and-segment combinations map back to the starting sign: two segments for Aries, Cancer, Leo, Scorpio, Sagittarius and Pisces, and one for the other six signs. There is no tidy one-in-sixteen rule. The classical term vargottama refers to the D1/D9 correspondence, not the D16.

Does this show the North Indian or South Indian chart style?

Both - use the North Indian (diamond) / South Indian (square) toggle above the chart; both draw the same D16 (Shodasamsa) placements. In the North Indian format the houses are fixed with the Lagna at the top and the signs rotate; in the South Indian format the signs are fixed in the grid and the ascendant is marked in its box. Pick whichever regional format is more familiar.

Does this tool predict vehicles, purchases, or comforts?

No. It computes the classical D16 chart and reports what traditional sources say the chart is consulted for - the varga-use verse assigns it to benefits and adversities through conveyances, and later practice reads it for vehicles and comforts. It makes no predictions about your purchases or your life, it does not tell you what will happen to you, and it offers no remedies, gemstones, or rituals.

Sources

  • Parashara, Brihat Parashara Hora Shastra, Ch. 6, 16, for the segment size, the modality start-sign rule and the deities: “Shodashahs (or Kalahs). Starting from Mesh for a Movable Rasi, from Simh for a Fixed Rasi and from Dhanu for a Dual Rasi, the 16 Shodashahsas (16th part of a Rasi, i.e. of 1 deg 52 min 30 sec) are regularly distributed. The presiding deities of these repeat in the order Brahma, Vishnu, Shiva and Surya four times in the case of an odd Rasi. It is reverse in the case of an even Rasi.” Ch. 7, 1-8 for the varga-use assignment (“benefits and adversities through conveyances from Shodashahs”). Consulted through the English translation in the R. Santhanam lineage (full-text scan at archive.org, Parashara Hora Sastra, sha256 496476e1...93cb4b, probed 26 August 2026).
  • That English lineage is not treated as authoritative for the spelling of proper names. Where it disagrees with the Sanskrit, the reviewed forms are used and the disagreement is recorded in this repository’s research notes. Devanagari and IAST cross-checked against siva.sh, Brihat Parashara Hora Shastra 6.16-20 (accessed 26 August 2026).
  • Parity: D16 placements for two pinned fixtures were predicted in this repository’s evidence file before the external capture, then diffed against JHora 8.0 under Traditional Lahiri with the mean node and the standard divisional preset - CAPTURED + PASSED 27 August 2026: 10/10 placements on each fixture, zero disagreements, with Rahu and Ketu sharing one D16 sign on both, as the rule forces. Exact segment cutoffs, both deity cycles, reachability and the node co-location property are covered by our own exhaustive test matrix against the sources above.
  • N.C. Lahiri, Indian Astronomical Ephemeris (Rashtriya Panchang), for the sidereal Lahiri ayanamsa.
  • Jean Meeus, Astronomical Algorithms, 2nd ed., 1998 (VSOP87), for the planetary positions.

This page is the canonical surface for these terms: D16 chart, Shodasamsa, Shodashamsa, and Kalamsa. They all refer to the sixteenth divisional chart described above.

Cultural / informational purposes only
Shodasamsa results on this page are for cultural and informational purposes only. They describe a sidereal Vedic astrology reference frame, not predictions about your life, vehicles, or comforts, and are not a substitute for professional advice. Last updated: August 2026.