D30 Trimsamsa Chart: Five Unequal Parts of Every Sign

Every other divisional chart in the Parashari set cuts a sign into parts of one size. The D30 does not. It cuts each sign into five bands of 5°, 5°, 8°, 7° and 5°, hands each band to one of five grahas, and lets the band take a sign belonging to that graha. The result is a chart that uses only ten of the twelve signs, reads an odd sign forwards and an even sign backwards, and keeps the same owner on both sides of every sign boundary. Each of those points is worked out below from the site’s varga arithmetic.

Trimsamsa Meaning (त्रिंशांश)

Trimshat is thirty, so the trimshamsha (also spelt trimsamsa or trimshamsa, त्रिंशांश in Hindi) is the chart of thirtieths. A thirtieth of a sign is one degree, and the bands are made of whole degrees, but there are only five of them, not thirty. The chart is the 13th of the sixteen in the Parashari list, set out together on the shodashvarga hub, and it is the only one of the sixteen whose parts differ in size.

The Parashari list files the D30 under “misfortunes (arishta)”. That label is reported here as the list’s heading for the chart, and the page goes no further with it. Nothing below reads an illness, an accident, a danger or a misfortune of any kind from a band, a graha or a sign, and nothing rates or times one. What follows is construction only: which degree goes to which sign.

The Five Bands in Odd and Even Signs

The rule the site follows, the one Brihat Parashara Hora Shastra sets out in its chapter on the vargas, has one table for the odd signs (Aries, Gemini, Leo, Libra, Sagittarius and Aquarius) and one for the even signs (Taurus, Cancer, Virgo, Scorpio, Capricorn and Pisces). Odd and even here are the site’s signs table read by its gender column. In an odd sign the bands run:

In an even sign the same five owners appear in the opposite order, Venus, Mercury, Jupiter, Saturn and Mars, with the widths reversed to match:

The widest band is Jupiter’s at 8°, then Mercury’s at 7°; the other three are 5° each. Because the starting point depends only on whether a sign is odd or even, all six odd signs share the first table exactly and all six even signs share the second. A 12-by-5 grid of the chart has only two distinct rows, and each of the ten signs it uses fills six of its sixty cells.

Mars, Saturn, Jupiter, Mercury and Venus: Two Signs Each

The five band owners are the five tara grahas. The site’s planets table gives each of them exactly two own signs, one odd and one even, and the D30 uses both: a graha’s band in an odd sign maps to its odd own sign, its band in an even sign to its even own sign.

The other four grahas own no band. In the same planets table the Sun has one own sign, Leo, and the Moon one, Cancer; Rahu and Ketu are listed with none of their own. Since only the tara grahas’ signs can appear, Cancer and Leo never turn up in a D30 at all, whatever the degree. The hub checks that gap with a guard of its own.

The Even Table Is the Odd One Seen in a Mirror

Reversing the order does more than reshuffle names. Read the graha table across: Mars holds 0°–5° of an odd sign and 25°–30° of an even one, Jupiter holds 10°–18° and 12°–20°. For every one of the five, the even-sign arc is the odd-sign arc measured back from 30° instead of forward from 0°, so each graha’s band has the same width in both tables and sits the same distance from opposite ends.

The mirror has a consequence at the sign boundaries. An odd sign ends in a Venus band and the even sign after it opens with one, so across every odd-to-even join the owner stays Venus while the sign switches from Libra to Taurus. An even sign ends in a Mars band and the next odd sign opens with Mars again, Scorpio giving way to Aries. Around each of the twelve joins, then, one owner covers 10° of zodiac, split between its two signs.

Own-Sign Bands: One in Ten Signs, None in Two

A sign gets its own name back in the D30 only in the band that belongs to its lord. Leo and Cancer have no such band, since their lords own none. The other ten each have exactly one, and where it falls follows from the tables above:

• Aries: 0°–5°, the Mars band
• Taurus: 0°–5°, the Venus band
• Gemini: 18°–25°, the Mercury band
• Virgo: 5°–12°, the Mercury band
• Libra: 25°–30°, the Venus band
• Scorpio: 25°–30°, the Mars band
• Sagittarius: 10°–18°, the Jupiter band
• Capricorn: 20°–25°, the Saturn band
• Aquarius: 5°–10°, the Saturn band
• Pisces: 12°–20°, the Jupiter band

The navamsa equivalent, where each sign has one 3°20′ arc of agreement, is on the vargottama page. The D30 arcs are wider and differ in width from sign to sign.

Wide Bands and the Birth Time

Its number suggests the D30 should be finer than the D9, and its bands are in fact coarser. The narrowest D30 band, 5°, is wider than a single part of every equal-part chart from the D7 onwards, the 3°20′ navamsa part included, and Jupiter’s 8° band is wider even than a D4 part of 7°30′. The D30 sign of the lagna changes at only four points inside a sign. A lagna well inside a band keeps its D30 sign through a small error in the recorded birth time; a lagna near one of the band edges does not, and at a sign boundary the sign switches even though the owner does not.

Trimsamsa Chart Calculator, by Hand

Take the degree inside the sign, decide whether the sign is odd or even, and find the band it falls in. Two examples, each checked against the site’s varga function:

• 22°45′ of Scorpio. Scorpio is an even sign, so the second table applies; 22°45′ lies in the 20°–25° band, which is Saturn’s, and the D30 sign is Capricorn.
• 12°30′ of Gemini. Gemini is an odd sign, so the first table applies; 12°30′ lies in the 10°–18° band, which is Jupiter’s, and the D30 sign is Sagittarius.

Doing this for the lagna and each graha builds the whole chart, with the lagna’s D30 sign as the first house. A free kundli prints the lagna’s sign and degree; the Kundli report prints every graha’s degree. The navamsa (D9) guide covers the equal-part construction the D30 departs from, and the D60 page covers the finest chart in the set.

What This Page Does Not Do

It does not interpret a D30. No band, owner or sign on this page is linked to an illness, an accident, a danger, a death, a loss or any other hardship, and no period is named for one. It splits nothing by the sex of the person whose chart it is, gives no score or strength to any band, and offers no remedy. Only the Parashari scheme that the site computes is shown. A chart reading weighs far more than one varga, and none of that weighing can be done from a table of degrees.