HARMONIC ATLAS (D30 · 30 DIVISIONS PER SIGN)D30 Trimsamsa (Triṃśāṃśa (Ariṣṭāṃśa)) — Unequal 5-Fold Planetary Arcs (5°, 5°, 8°, 7°, 5°)
In the sixteen-fold divisional system (Shodashavarga) of Maharishi Parashara, D30 Trimsamsa (Triṃśāṃśa (Ariṣṭāṃśa)) partitions each 30° 00' sidereal sign into 30 harmonic segments of Unequal 5-Fold Planetary Arcs (5°, 5°, 8°, 7°, 5°) to examine Adversity (Arishta), Constitutional Vulnerability, Moral Character & Karmic Trials. Within jyotish_corpus_core_v3, D30 Trimsamsa is indexed in 124 direct varga passages (80 shlokas) and 187 combined Shodashavarga concordance passages across 14 Sanskrit treatises.
D30 Trimsamsa
D30 Trimsamsa belongs to Bheda Cycle III (Subtle & Astral Plane: D25–D36), correlates with the Sixth and Eighth Dusthana Axis (Third Harmonic Cycle), and has Mangala and Shani (Lords of Trial and Endurance) as its natural significator. In the twenty-point Shodashavarga Vimshopaka Bala scale, D30 Trimsamsa carries an official Parashari weight of 1.0 / 20.0 points.
PARASHARI DEGREE-PARTITION ALGORITHMMathematical Construction & Sign-Mapping Rules of D30 Trimsamsa
The mathematical construction of D30 Trimsamsa is codified in Brihat Parashara Hora Shastra Chapter 6 Verse 14 and Brihat Jataka Chapter 1 Verse 7 and Saravali Chapter 3 Verse 12 and Phaladeepika Chapter 3 Verse 8. To compute the harmonic placement of any Graha or Lagna in D30 Trimsamsa, the astronomer takes the exact sidereal degree within the occupied sign: Divides each 30° sign into five unequal planetary segments ruled by Mars, Saturn, Jupiter, Mercury, and Venus (5°, 5°, 8°, 7°, 5° in odd signs; reversed in even signs).
Across the composite Varga weighting schemes of Brihat Parashara Hora Shastra Chapter 7, D30 Trimsamsa contributes 1.0 points in Shadvarga, 1.0 points in Saptavarga, 1.5 points in Dasavarga, and 1.0 points in the complete sixteen-chart Shodashavarga matrix.
| Harmonic Arc / Parameter | Natal Sign Category | Target Varga Sign Rule | Classical Analytical Function |
|---|---|---|---|
00°–05° (5°) & 05°–10° (5°) |
Odd Signs (1, 3, 5, 7, 9, 11) | Mangala (Mesha, Agni) then Shani (Kumbha, Vayu) |
First 5° belongs to Mars (Mesha); next 5° belongs to Saturn (Kumbha) in odd signs of D30. |
10°–18° (8°) & 18°–25° (7°) |
Odd Signs (1, 3, 5, 7, 9, 11) | Guru (Dhanu, Indra) then Budha (Mithuna, Kubera) |
Middle 8° belongs to Jupiter (Dhanu); next 7° belongs to Mercury (Mithuna) in odd signs of D30. |
25°–30° (5°) |
Odd Signs (1, 3, 5, 7, 9, 11) | Shukra (Tula, Varuna) |
Final 5° of an odd sign maps to Venus (Tula) in D30. |
00°–05°, 05°–12°, 12°–20°, 20°–25°, 25°–30° |
Even Signs (2, 4, 6, 8, 10, 12) | Shukra (5° Vrishabha), Budha (7° Kanya), Guru (8° Meena), Shani (5° Makara), Mangala (5° Vrishchika) |
Exact reverse planetary order and even-sign domiciles in D30. |
MULTI-TREATISE SHASTRA CONCORDANCECorpus Coverage of D30 Trimsamsa Across 18 Sanskrit Shastras
The concordance table below presents the treaty-by-treaty distribution of D30 Trimsamsa and its parent Shodashavarga chapters inside jyotish_corpus_core_v3. Brihat Parashara Hora Shastra establishes the canonical sign-mapping equations and presiding deities for D30 Trimsamsa, while Hora Ratnam and Sarvartha Chintamani detail how D30 Trimsamsa modifies natal house lords during Mahadasha fruition.
| Sanskrit Treatise | Verified Passages | Chapter Coverage | Analytical Scope |
|---|---|---|---|
| Hora Ratnam | 51 passages |
4 ch / 29 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 4 chapters. |
| Brihat Jataka | 40 passages |
9 ch / 27 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 9 chapters. |
| Brihat Parashara Hora Shastra | 39 passages |
10 ch / 22 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 10 chapters. |
| Saravali | 15 passages |
5 ch / 14 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 5 chapters. |
| Ashtakavarga Grantha | 12 passages |
4 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 4 chapters. |
| Phaladeepika | 10 passages |
4 ch / 8 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D30 Trimsamsa across 4 chapters. |
VERBATIM CORPUS FOLIO & VIMSHOPAKA SYNTHESISArchival Public-Domain Folio Excerpt for D30 Trimsamsa
This archival excerpt for D30 Trimsamsa is retrieved from the public-domain edition of Phaladeepika (Chapter 3, Verse 1) in jyotish_corpus_core_v3. In classical chart synthesis, D30 Trimsamsa is never read in isolation from the root D1 Rashi chart and the D9 Navamsa chart.
CORPUSPROVENANCE: Phaladeepika | SourceID: archive_dli.ernet.507316 | Chapter 3, Verse 1 "AdhIIFsADHYAYAIII Sloka 1 (Kshetra or an arc of 30'), Drek- kana, Decanate or an arc of 10 ), i (Navamsa or an arc of 31 '), i (Dasamsa or an arc of 3 or js portion of a sign), r (Hora or of a sign, i e ,"
When evaluating adversity (arishta), constitutional vulnerability, moral character & karmic trials through D30 Trimsamsa, the astrologer inspects three converging factors: the dignity of the D30 Lagna lord, the placement of the natural significator (Mangala and Shani (Lords of Trial and Endurance)) inside D30, and the D30 dispositor of the natal house lord corresponding to the sixth and eighth dusthana axis (third harmonic cycle).
SUTRA BLACK LABEL · INDIVIDUAL EPHEMERIS SYNTHESISCompute Exact D30 Trimsamsa Cusps & Vimshopaka Scores
This encyclopedia entry documents the classical degree-partition rules of D30 Trimsamsa (Unequal 5-Fold Planetary Arcs (5°, 5°, 8°, 7°, 5°)). Because D30 Trimsamsa and higher divisional harmonics shift signs within minutes of birth time, visit jyotish.vip to compute birth-second DE441
D30(Unequal 5-Fold Planetary Arcs (5°, 5°, 8°, 7°, 5°))DE441Ephemeris (0.001°)Vimshopaka Weight 1.0/20Presiding Varga Deities
