Vargas and Calculation
What a divisional chart is, how to build the seven this course uses, and what every calculation depends on.
Drawn from BPHS 5, BPHS 6, BPHS 7, BPHS 8, BPHS 35. Ch. 5 · Ch. 6 · Ch. 7 · Ch. 8 · Ch. 35
What a varga is
The same chart at higher magnification. Each sign is cut into a number of equal parts, each part is assigned a sign name by a counting rule, and a planet’s varga position records which part of its sign it occupies.
Nothing new enters the chart. The resolution increases.
Which explains everything else about vargas: why finer divisions need better birth times; why a varga confirms or qualifies a rashi reading rather than replacing it; and why a D60 is worthless from a birth time rounded to the hour — you are looking at 30′ slices, and the ascendant crosses one every two minutes.
The seven this course uses
| Varga | Parts | Part size | Counting rule | Speaks to |
|---|---|---|---|---|
| D1 Rāśi | 1 | 30° | — | the life as a whole |
| D2 Horā | 2 | 15° | odd signs: first half Sun, second Moon; reversed for even | wealth |
| D3 Drekkāṇa | 3 | 10° | 1st part the sign itself, 2nd the 5th from it, 3rd the 9th | siblings, courage |
| D4 Chaturthāṁśa | 4 | 7°30′ | from the sign, then the 4th, 7th, 10th from it | property, home |
| D7 Saptāṁśa | 7 | 4°17′ | odd signs from the sign itself; even from the 7th | children |
| D9 Navāṁśa | 9 | 3°20′ | movable from the sign; fixed from the 9th; dual from the 5th | marriage, underlying strength |
| D10 Daśāṁśa | 10 | 3° | odd signs from the sign itself; even from the 9th | action, work, Karma |
BPHS 7 gives all sixteen divisions in ascending order of fineness, so any of them can be found by position in the chapter.
Building a Navāṁśa by hand
Worth doing once, because it makes “magnification” physical.
A planet at 8° Taurus. Taurus is fixed, so counting starts from the 9th sign from Taurus — Capricorn.
Each navāṁśa is 3°20′: the first runs 0°00′–3°20′, the second 3°20′–6°40′, the third 6°40′–10°00′. Eight degrees falls in the third.
Third from Capricorn, counting Capricorn as the first: Capricorn, Aquarius, Pisces.
The two common errors: applying the movable rule to a fixed sign, and counting the starting sign as zero.
A nakshatra pada is also 3°20′, which is why the pada and the Navāṁśa sign are two views of the same division.
What every chart depends on — BPHS 5
Three inputs, and everything downstream inherits their error.
The ayanāṁśa. The gap between the tropical zodiac, measured from the equinox, and the sidereal zodiac, measured against the fixed stars. Currently about 24° — most of a sign. BPHS says an ayanāṁśa must be applied and does not say which. This course uses Lahiri and states it on every computed chart.
The place. Planetary longitudes are the same for everyone on earth at a given instant. The ascendant and houses are not — the ecliptic meets the horizon at an angle that depends on latitude, which is why BPHS spends verses on converting Laṅkodaya to Svodaya.
The time. The ascendant covers 360° in about 24 hours — roughly one degree every four minutes.
| Birth time recorded to | Lagna known to |
|---|---|
| the minute | about a quarter degree |
| five minutes | about a degree |
| the hour | a fifteen-degree band — half a sign |
The rising sign usually survives all of that. What does not survive is anything depending on the Lagna’s degree: the Bhāva cusps, the finer vargas, and every timing technique subtle enough to care.
Precision of arithmetic is not precision of prediction.
Record the provenance
Write down where a birth time came from — certificate, hospital record, family memory, or a rounded figure — at the top of every reading. Then know which of your conclusions rest on the rising sign, which are robust, and which rest on the degree, which may not be.
Ask your software three questions: which ayanāṁśa, which ephemeris, and mean or true nodes. If it does not tell you, find out.
Special ascendants — BPHS 6
All three start from the Sun’s position at sunrise and advance at a fixed rate, so none needs latitude.
| Lagna | Rate |
|---|---|
| Bhāva Lagna | one sign per 5 ghaṭīs |
| Horā Lagna | one sign per 2½ ghaṭīs |
| Ghaṭi Lagna | one sign per ghaṭī |
A ghaṭī is 24 minutes; a pala 24 seconds; sixty ghaṭīs in a day.
Varṇada Daśā (6.13–27): BPHS’s own two worked examples do not apply its stated counting rule the same way. The inconsistency is recorded and not resolved, and the course does not teach its use.
Houses
This course uses whole-sign houses throughout: house 1 is the rising sign. BPHS’s house rules are stated in sign terms and consistency matters more than any marginal gain from switching.
BPHS 6.10–12 points toward the alternative — a house centred on a cusp, able to straddle a sign boundary. Both models are in use.
Practical consequence: a planet within about 2° of a sign boundary is a genuinely ambiguous house placement on any model. Say so rather than choosing silently.
Kārakāṁśa — BPHS 35
The Navāṁśa sign occupied by the Ātmakāraka — the planet with the highest degree within its sign.
Requires degrees, so it is unavailable for a chart that records only sign placements. Read houses from the Kārakāṁśa within the Navāṁśa; Ch. 35 verses 2–8 give the twelve signs, 13–18 the planets in it, and the remainder further combinations.
Viṁśopaka Bala — BPHS 8.1–32
A twenty-point scheme scoring a planet’s dignity across several vargas at once, attempting to answer “exalted in D1, debilitated in D9 — so how good is it really?”
The worked example contains an internal grading inconsistency. Recorded, not resolved. Ṣaḍbala is the strength system this course uses.