D45 Chart Calculator (Akshavedamsa)

Cast your D45 (Akshavedamsa), the forty-fifth divisional chart of Vedic astrology and the finest division we publish, from date, time, and place of birth. The tool computes your D45 Lagna with a birth-time-confidence check, every planet’s segment, deity, D45 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 D45 calculation runs entirely in your browser. No birth data sent anywhere.

Enter birth details

Supports 1900 onwards for better calculation reliability.

Birth time matters MOST here: a D45 segment is just 40 minutes of arc - the finest division on this site - so your D45 Lagna changes roughly every 2.7 minutes.

Related Tools

Quick facts

Chart / harmonicD45 (Akshavedamsa), the forty-fifth divisional chart
Division size45 equal segments of 40 min of arc (2/3 deg) per sign - the finest division we publish
Start-sign ruleBy modality: movable from Aries, fixed from Leo, dual from Sagittarius - the same map as the D16 (both verse-stated)
Presiding deitiesThree triads of Brahma / Shiva / Vishnu, rotated per modality, repeating 15 times (BPHS Ch. 6, 31-32)
Reachable signsAll twelve, across a whole chart
Classically read forNO distinct domain - 'all indications', shared with the D60 (BPHS Ch. 7); character/conduct glosses = later practice
D45 Lagna sensitivity~2.7 min of birth time per segment at Indian latitudes - the fastest-moving varga Lagna we publish
Same-sign geometry45 of 540 cells, unevenly spread - no one-in-forty-five rule
NodesRahu/Ketu ALWAYS share one D45 sign and deity (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 D45 (Akshavedamsa) chart?

The Akshavedamsa - also spelled Akshavedamsha - is the forty-fifth harmonic, 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 re-reads the same positions at a finer resolution - and at 40 minutes of arc per segment this is the finest resolution we publish, ahead of the Khavedamsa (D40) shipped alongside it and the Chaturvimsamsa (D24).

Like every varga, the D45 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. Its starting sign is fixed by the natal sign’s modality - and the map is the same one the Shodasamsa (D16) uses, because the verse states the same three seeds for both. That agreement is the tradition’s own, and it does not extend to the Vimsamsa (D20), which swaps the fixed and dual seeds.

How the D45 is calculated

Each sign is divided into forty-five segments of 40 minutes of arc. The verse rule: “Mesh, Simh and Dhanu are the Rasis, from which the distributions, respectively, commence for Movable, Immovable and Common Rasis.” 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 presiding deities come as three triads - one per modality, each repeating fifteen times across the forty-five segments (the verse’s “pancadasha-avrttya”, fifteen repetitions). The three lists are a rotation of one another, not a repeat and not a reversal:

ModalitySegments 1, 4, 7...Segments 2, 5, 8...Segments 3, 6, 9...
MovableBrahmaShivaVishnu
FixedShivaVishnuBrahma
DualVishnuBrahmaShiva

Software-comparison note: Jagannatha Hora 8.0 (standard divisional preset, Traditional Lahiri, mean node) applies these triads in reverse order for a planet in an even sign, so its D45 deity column can differ from this page’s on even-sign placements - the middle name of each triad is unaffected either way. The verse states the three triads with fifteen repetitions and no reversal instruction, and this tool follows the verse; in our recorded parity captures the divergence was confined to those even-sign deity labels, with the segmentation and the sign rule agreeing throughout.

Worked example: a planet at 20.5 deg of Aries (movable) counts from Aries. 20.5 divided by 2/3 falls in the 31st segment (index 30), and thirty signs on from Aries - two and a half zodiacs - is Libra, so its D45 sign is Libra with deity Brahma (31st segment, first of the triad). Each varga in the family carries its own rule: the Dwadasamsa counts forward from the sign itself, the D40 from a parity-selected seed, and the D45 from this modality-selected one.

Why Rahu and Ketu share a sign in the D45

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. 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 D45 sign - and, because the triad is also fixed by modality, the same deity - in every chart, all 540 sign-segment combinations. Verified exhaustively in this repository’s test suite.

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 D45 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 - and for this chart it assigns no distinct domain. The verse groups the Akshavedamsa with the Shashtiamsa (D60) under one shared phrase: all indications. That is the whole of the classical claim, and this page does not dress it up as something more specific.

Modern practice commonly reads the D45 for character, conduct, and paternal lineage. Those readings are later practice, not the verse’s own wording, and we label them 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 D45 chart, houses (whole-sign from the D45 Lagna), the segment deities, and the birth-time-confidence checks. It does not interpret the chart, it does not read houses for character or family outcomes, and it ships no predictions and no remedies.

Frequently Asked Questions

What is the D45 (Akshavedamsa) chart?

The Akshavedamsa is the forty-fifth divisional chart (varga) of Vedic astrology. Each 30-deg sign is divided into forty-five segments of 40 minutes of arc (2/3 deg), and every planet is re-mapped to a new sign based on which segment it occupies. It is the finest division this site publishes. The Brihat Parashara Hora Shastra's varga-use verse gives it no distinct domain of its own - it is grouped with the D60 under 'all indications'. It is read alongside the birth chart (D1), not instead of it.

How is the D45 chart calculated?

By Brihat Parashara Hora Shastra Ch. 6, 31: 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. That is the same start-sign map the D16 uses - the verse states both independently, so the agreement is the tradition's, not a shortcut - while the D20 swaps the fixed and dual seeds. This tool applies the rule to each planet's exact sidereal longitude from the birth chart.

What does the D45 chart show?

The honest classical answer: the varga-use verse of the Brihat Parashara Hora Shastra assigns the D45 no domain of its own. It says 'all indications' are to be considered from the Akshavedamsa and the Shashtiamsa together - a shared, general assignment, not a specific one. Later practice reads the D45 for character, conduct, and paternal lineage; those are interpretive glosses on a verse that names none of them, and this page labels them as later practice rather than presenting them as the text's own wording.

Why do Rahu and Ketu land in the same sign in my D45?

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 D45 sign and even the same deity. This happens in every chart, and it does not depend on whether a calculator uses the mean or the true node.

Who are the deities of the akshavedamsas?

The Brihat Parashara Hora Shastra names three deities per modality, repeating fifteen times across the forty-five segments: Brahma, Shiva and Vishnu for movable signs; Shiva, Vishnu and Brahma for fixed signs; and Vishnu, Brahma and Shiva for dual signs. The three lists are a rotation of one another, not a repeat and not a reversal. This tool shows the deity for each planet's segment; it attaches no predictive meaning to them, because the classical text assigns the names without interpretation.

Why does exact birth time matter so much for the D45?

A D45 segment is 40 minutes of arc - the finest division on this site - and the ascendant crosses one in roughly 2.7 minutes of clock time at Indian latitudes, against about two hours for a D1 Lagna sign. Even a birth time recorded to the nearest five minutes can move the D45 Lagna by one or two signs. This tool reports how many minutes your entered time sits from the nearest D45 Lagna boundary, and flags any planet sitting within about 0.01 deg of a segment edge.

Does a same-sign D1 and D45 placement mean anything special?

No, and it is not evenly distributed either. Because the count starts from a modality-fixed sign rather than from the natal sign, only 45 of the 540 sign-and-segment combinations map back to the natal sign - four segments for nine of the signs and three for the other three. There is no tidy one-in-forty-five rule. The classical term vargottama refers to the D1/D9 correspondence, not the D45.

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 D45 (Akshavedamsa) 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 character, conduct, or family matters?

No. It computes the classical D45 chart and reports what the tradition actually says about it - which, in the varga-use verse itself, is only the shared 'all indications' assignment; character and paternal-legacy readings are later practice. It makes no predictions about you or your family, 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, 31-32, for the segment size, the modality start-sign rule and the deity triads: “Akshavedahs (1/45th part of a Rasi). Mesh, Simh and Dhanu are the Rasis, from which the distributions, respectively, commence for Movable, Immovable and Common Rasis. In Movable Rasis Brahma, Shiva and Vishnu; in Immovable Rasis Shiva, Vishnu and Brahma and in Common Rasis Vishnu, Brahma and Shiva repeat 15 times the presidentship over these Akshavedahsas.” Ch. 7, 1-8 for the varga-use passage (“all indications from both Akshavedahs and Shashtiahs” - a shared assignment, no distinct domain). 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).
  • Sanskrit cross-check: siva.sh, Brihat Parashara Hora Shastra 6.31-35 (accessed 27 August 2026) confirms the three seeds (carabhe kriyat, sthire simhad, dvibhe capat) and the triads through their epithets (Isha for Shiva, Acyuta for Vishnu, Surajyeshtha and Ka for Brahma), with pancadasha-avrttya = fifteen repetitions. The epithet decoding is recorded in this repository’s research notes.
  • Parity: D45 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 and passed 28 August 2026: all twenty placements across both fixtures agree sign for sign, with node co-location appearing exactly as the rule forces. JHora additionally applies an even-sign reversal to the deity triads that the verse does not state; the divergence and its adjudication are recorded in the evidence file and disclosed in the calculation section above. Exact segment cutoffs, all three triads, 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: D45 chart, Akshavedamsa, and Akshavedamsha. They all refer to the forty-fifth divisional chart described above.

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