भिन्नाष्टक · ७ ग्रह × १२ भाव · BPHS CH. 66
भिन्नाष्टकम् Bhinnāṣṭakavarga
Seven per-graha bindu grids. Each graha’s grid collects contributions from eight sources — seven grahas plus lagna — onto the twelve signs. The seven totals are fixed by the rules themselves: 48 · 49 · 39 · 54 · 56 · 52 · 39, summing to 337. SELF-VERIFYING INVARIANT · DEVIATION ⇒ COMPUTATIONAL ERROR
P56 · बिन्दु-वितरणम् · bindu-vitaraṇam
Ring-axiomatic distribution: each graha’s bindus across 8 sources onto 12 rāśis is a direct evaluation in R = ℤ/12ℤ — the canonical totals sum to the 337 sarva invariant (P230).
TIER-S · TAG (i) · PROPOSITIONS P7 · P230 · CANONICAL-INVARIANT
01
सत्यापन-तालिका · Canonical totals — the BPHS invariant
computed live against canonEvery correctly computed chart produces these exact totals, independent of birth data. The engine checks itself on every render.
| ग्रह · Graha | Canonical | This chart | Verdict |
|---|---|---|---|
| सूर्य Sun | 48 | 48 | verified |
| चन्द्र Moon | 49 | 49 | verified |
| मङ्गल Mars | 39 | 39 | verified |
| बुध Mercury | 54 | 54 | verified |
| गुरु Jupiter | 56 | 56 | verified |
| शुक्र Venus | 52 | 52 | verified |
| शनि Saturn | 39 | 39 | verified |
Reference chart 1990-01-01 06:00 IST · Kāmākhyā. The totals do not depend on it — that is the point.
02
सप्त-भिन्नाष्टकवर्गाः · The seven grids
per graha · 12 houses from lagnaसूर्य Sūrya · 48 bindus
Authority, father, vitality. Consulted around public-facing ventures and paternal-line karma.
H16धनुष्
H22मकर
H33कुम्भ
H44मीन
H52मेष
H63वृषभ
H75मिथुन
H85कर्क
H93सिंह
H105कन्या
H115तुला
H125वृश्चिक
BPHS 66.5-12
चन्द्र Candra · 49 bindus
Mind, mother, emotional substrate. Highest canonical sum among the luminaries (49) — Pāraśara assigns special weight to Candra's grid.
H13धनुष्
H23मकर
H34कुम्भ
H44मीन
H56मेष
H66वृषभ
H72मिथुन
H85कर्क
H93सिंह
H105कन्या
H115तुला
H123वृश्चिक
BPHS 66.13-20
मङ्गल Maṅgala · 39 bindus
Energy, courage, siblings, surgery. Lowest sum (39) — Maṅgala's effects are concentrated; small variations matter.
H15धनुष्
H20मकर
H33कुम्भ
H43मीन
H53मेष
H65वृषभ
H74मिथुन
H82कर्क
H93सिंह
H104कन्या
H113तुला
H124वृश्चिक
BPHS 66.21-28
बुध Budha · 54 bindus
Intellect, speech, commerce. Highest of all seven (54) — versatile distribution; high bindus read as strong learning and trade.
H15धनुष्
H25मकर
H32कुम्भ
H45मीन
H53मेष
H67वृषभ
H73मिथुन
H84कर्क
H94सिंह
H106कन्या
H114तुला
H126वृश्चिक
BPHS 66.29-36
गुरु Guru · 56 bindus
Wisdom, dharma, children. The widest grid (56) — Guru's support is structurally the most distributed.
H15धनुष्
H24मकर
H35कुम्भ
H44मीन
H54मेष
H65वृषभ
H77मिथुन
H82कर्क
H95सिंह
H106कन्या
H115तुला
H124वृश्चिक
BPHS 66.37-44
शुक्र Śukra · 52 bindus
Beauty, art, marriage, vehicles. Mid-range sum (52) — consulted around marriage and major asset decisions.
H12धनुष्
H25मकर
H35कुम्भ
H47मीन
H56मेष
H63वृषभ
H72मिथुन
H84कर्क
H93सिंह
H105कन्या
H117तुला
H123वृश्चिक
BPHS 66.45-52
शनि Śani · 39 bindus
Discipline, longevity, service, karma-resolution. Equal to Maṅgala (39) — concentrated and consequential.
H15धनुष्
H22मकर
H32कुम्भ
H43मीन
H54मेष
H63वृषभ
H73मिथुन
H82कर्क
H92सिंह
H104कन्या
H116तुला
H123वृश्चिक
BPHS 66.53-60
Cells at 5+ bindus are marked. Houses count from the reference lagna; your own grids count from yours.
03
पाठ-नियमाः· How a graha’s grid is read
four classical rulesस्व-राशि-बिन्दु · Self-sign4+ / < 3Read the count in the rāśi the graha occupies in its own grid: 4+ reads self-supported; under 3 reads afflicted. BPHS 66.66 · sva-bindu-niyama.
कारकत्व-भाव · Karaka houseNatural domainSun → 10th; Moon → 4th; Mars → 3rd, 6th; Mercury → 4th, 10th; Jupiter → 2nd, 5th, 9th, 11th; Venus → 7th; Saturn → 6th, 8th, 10th, 12th. High count = domain well-supported. Sāravalī 36.
गोचर-बिन्दु · Transit5+ / ≤ 2A graha transiting a sign in its own grid: 5+ bindus, effects fruit; 2 or fewer, the transit underperforms. Loaded for Śani’s slow transits — read bhinna with sarva. BPHS 66.43-52.
दशा-संस्कारः · Daśā modifierDeliver / muteLocate the mahā-daśā lord’s sign in its own grid: high count, the daśā delivers; low count, it arrives muted. Combined with vimśopaka-bala — the Pāraśarī method. BPHS 46.7 + 66.65.
The grids enumerate bindu contributions only. Time-bound decisions belong to the learned Jyotiṣī reading the full chart.
स्वकीयं भिन्नाष्टकवर्गं द्रष्टव्यम् · Your seven-grid lattice
The caster computes all 7 Bhinna grids and the Sarva grid from your birth instant — cross-referenced with vimśopaka and the running daśā.
Birth data: never in a URL · processed in memory · never logged.
Substrate
bharat-ephemeris-web · v∞.4 · (R,g,k)=(ℤ/3³³⁷ℤ,2,k=337) · published: 230 props · 83/83 (DOI 10.5281/zenodo.20024273 v3) · internal: 890 · 805/805 (pub. pending) · MK-Ayanāṃśa · sealed 2026-05-11
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