HARMONIC ATLAS (D45 · 45 DIVISIONS PER SIGN)D45 Akshavedamsa (Akṣavedāṃśa (Pañcacatvāriṃśāṃśa)) — 00° 40' 00" (40' arc)
In the sixteen-fold divisional system (Shodashavarga) of Maharishi Parashara, D45 Akshavedamsa (Akṣavedāṃśa (Pañcacatvāriṃśāṃśa)) partitions each 30° 00' sidereal sign into 45 harmonic segments of 00° 40' 00" (40' arc) to examine Paternal Lineage Merit, Ethical Character, Sovereign Integrity & Dharmic Conduct. Within jyotish_corpus_core_v3, D45 Akshavedamsa is indexed in 4 direct varga passages (2 shlokas) and 77 combined Shodashavarga concordance passages across 12 Sanskrit treatises.
D45 Akshavedamsa
D45 Akshavedamsa belongs to Bheda Cycle IV (Causal & Ancestral Plane: D37–D48), correlates with the Ninth House Causal Octave (Fourth Harmonic Cycle: 3 × 12 + 9), and has Surya and Guru (Pitru and Dharma Lineage) as its natural significator. In the twenty-point Shodashavarga Vimshopaka Bala scale, D45 Akshavedamsa carries an official Parashari weight of 0.5 / 20.0 points.
PARASHARI DEGREE-PARTITION ALGORITHMMathematical Construction & Sign-Mapping Rules of D45 Akshavedamsa
The mathematical construction of D45 Akshavedamsa is codified in Brihat Parashara Hora Shastra Chapter 6 Verse 16 and Chapter 7 Verse 3 and Hora Ratnam Chapter 2 Akshavedamsa Section. To compute the harmonic placement of any Graha or Lagna in D45 Akshavedamsa, the astronomer takes the exact sidereal degree within the occupied sign: Forty-five equal 0°40' segments (40 arc-minutes each): Movable (Chara) signs count from Mesha, Fixed (Sthira) signs from Simha, and Dual (Dwiswabhava) signs from Dhanu.
Across the composite Varga weighting schemes of Brihat Parashara Hora Shastra Chapter 7, D45 Akshavedamsa contributes 0.0 points in Shadvarga, 0.0 points in Saptavarga, 0.0 points in Dasavarga, and 0.5 points in the complete sixteen-chart Shodashavarga matrix.
| Harmonic Arc / Parameter | Natal Sign Category | Target Varga Sign Rule | Classical Analytical Function |
|---|---|---|---|
45 Segments of 00° 40' 00" |
Movable / Chara Signs (Mesha, Karka, Tula, Makara) | Counts forward from Mesha (Aries, 1st Sign) |
Presided over in cyclic triplets by Brahma, Shiva, and Vishnu in Chara signs of D45. |
45 Segments of 00° 40' 00" |
Fixed / Sthira Signs (Vrishabha, Simha, Vrishchika, Kumbha) | Counts forward from Simha (Leo, 5th Sign) |
Presided over in cyclic triplets by Shiva, Vishnu, and Brahma in Sthira signs of D45. |
45 Segments of 00° 40' 00" |
Dual / Dwiswabhava Signs (Mithuna, Kanya, Dhanu, Meena) | Counts forward from Dhanu (Sagittarius, 9th Sign) |
Presided over in cyclic triplets by Vishnu, Brahma, and Shiva in Dual signs of D45. |
Harmonic Reduction (45 mod 12 = 9) |
Ninth House Causal Octave | Higher causal counterpart to |
Assesses the purity of ethical judgment and paternal grace across lifetimes in D45. |
MULTI-TREATISE SHASTRA CONCORDANCECorpus Coverage of D45 Akshavedamsa Across 18 Sanskrit Shastras
The concordance table below presents the treaty-by-treaty distribution of D45 Akshavedamsa and its parent Shodashavarga chapters inside jyotish_corpus_core_v3. Brihat Parashara Hora Shastra establishes the canonical sign-mapping equations and presiding deities for D45 Akshavedamsa, while Hora Ratnam and Sarvartha Chintamani detail how D45 Akshavedamsa modifies natal house lords during Mahadasha fruition.
| Sanskrit Treatise | Verified Passages | Chapter Coverage | Analytical Scope |
|---|---|---|---|
| Brihat Parashara Hora Shastra | 28 passages |
8 ch / 15 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 8 chapters. |
| Hora Ratnam | 17 passages |
3 ch / 9 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 3 chapters. |
| Ashtakavarga Grantha | 8 passages |
3 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 3 chapters. |
| Phaladeepika | 5 passages |
2 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 2 chapters. |
| Brihat Jataka | 5 passages |
3 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 3 chapters. |
| Jaimini Upadesha Sutras | 4 passages |
1 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D45 Akshavedamsa across 1 chapters. |
VERBATIM CORPUS FOLIO & VIMSHOPAKA SYNTHESISArchival Public-Domain Folio Excerpt for D45 Akshavedamsa
This archival excerpt for D45 Akshavedamsa is retrieved from the public-domain edition of Brihat Parashara Hora Shastra (Chapter 6, Verse 42) in jyotish_corpus_core_v3. In classical chart synthesis, D45 Akshavedamsa is never read in isolation from the root D1 Rashi chart and the D9 Navamsa chart.
CORPUSPROVENANCE: Brihat Parashara Hora Shastra | SourceID: archive_brihat-parashara-hora-sastra | Chapter 6, Verse 42 ", while the opposite is true in case of Grahas in malefic Shashti as 42-53 Varg Classification Maitreya, explained now are the sum effects of classifications of different divisions (or Vargas, so far narrated) These are four kinds, viz Shad Varg, Sapth Varg, Dasha Varg and Shodasha Varg In the ShadVarg classification"
When evaluating paternal lineage merit, ethical character, sovereign integrity & dharmic conduct through D45 Akshavedamsa, the astrologer inspects three converging factors: the dignity of the D45 Lagna lord, the placement of the natural significator (Surya and Guru (Pitru and Dharma Lineage)) inside D45, and the D45 dispositor of the natal house lord corresponding to the ninth house causal octave (fourth harmonic cycle: 3 × 12 + 9).
SUTRA BLACK LABEL · INDIVIDUAL EPHEMERIS SYNTHESISCompute Exact D45 Akshavedamsa Cusps & Vimshopaka Scores
This encyclopedia entry documents the classical degree-partition rules of D45 Akshavedamsa (00° 40' 00" (40' arc)). Because D45 Akshavedamsa and higher divisional harmonics shift signs within minutes of birth time, visit jyotish.vip to compute birth-second DE441
D45(00° 40' 00" (40' arc))DE441Ephemeris (0.001°)Vimshopaka Weight 0.5/20Presiding Varga Deities
