HARMONIC ATLAS (D40 · 40 DIVISIONS PER SIGN)D40 Khavedamsa (Chatvarimsamsa) (Khavedāṃśa (Catvāriṃśāṃśa)) — 00° 45' 00" (45' arc)
In the sixteen-fold divisional system (Shodashavarga) of Maharishi Parashara, D40 Khavedamsa (Chatvarimsamsa) (Khavedāṃśa (Catvāriṃśāṃśa)) partitions each 30° 00' sidereal sign into 40 harmonic segments of 00° 45' 00" (45' arc) to examine Maternal Lineage Karma, Subtle Auspicious & Inauspicious Habits (Shubha-Ashubha). Within jyotish_corpus_core_v3, D40 Khavedamsa (Chatvarimsamsa) is indexed in 4 direct varga passages (3 shlokas) and 77 combined Shodashavarga concordance passages across 12 Sanskrit treatises.
D40 Khavedamsa (Chatvarimsamsa)
D40 Khavedamsa (Chatvarimsamsa) belongs to Bheda Cycle IV (Causal & Ancestral Plane: D37–D48), correlates with the Fourth House Root Karma (Fourth Harmonic Cycle: 3 × 12 + 4), and has Chandra (Matru Lineage Root) as its natural significator. In the twenty-point Shodashavarga Vimshopaka Bala scale, D40 Khavedamsa (Chatvarimsamsa) carries an official Parashari weight of 0.5 / 20.0 points.
PARASHARI DEGREE-PARTITION ALGORITHMMathematical Construction & Sign-Mapping Rules of D40 Khavedamsa (Chatvarimsamsa)
The mathematical construction of D40 Khavedamsa (Chatvarimsamsa) is codified in Brihat Parashara Hora Shastra Chapter 6 Verse 15 and Chapter 7 Verse 3 and Hora Ratnam Chapter 2 Khavedamsa Section. To compute the harmonic placement of any Graha or Lagna in D40 Khavedamsa (Chatvarimsamsa), the astronomer takes the exact sidereal degree within the occupied sign: Forty equal 0°45' segments (45 arc-minutes each): in odd signs counting begins from Mesha (Aries), and in even signs counting begins from Tula (Libra).
Across the composite Varga weighting schemes of Brihat Parashara Hora Shastra Chapter 7, D40 Khavedamsa (Chatvarimsamsa) 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 |
|---|---|---|---|
40 Segments of 00° 45' 00" |
Odd Signs (1, 3, 5, 7, 9, 11) | Counts forward from Mesha (Aries, 1st Sign) |
Cycles repeatedly through the twelve deities (Vishnu, Chandra, Marichi, Tvashtar, Dhata, Shiva, Ravi, Yama, Yaksha, Gandharva, Kala, Varuna) in D40. |
40 Segments of 00° 45' 00" |
Even Signs (2, 4, 6, 8, 10, 12) | Counts forward from Tula (Libra, 7th Sign) |
Mirrors the odd-sign progression across the seventh-house polarity axis in D40. |
Harmonic Reduction (40 mod 12 = 4) |
Fourth House Causal Octave | Isolates inherited maternal impressions (Samskaras) |
Explains subtle emotional reflexes and ancestral blessings not visible in D1 or D4. |
Birth-Time Sensitivity |
45 Arc-Minutes per Division | Lagna shifts |
Requires verified birth-minute rectification before interpreting D40 Lagna. |
MULTI-TREATISE SHASTRA CONCORDANCECorpus Coverage of D40 Khavedamsa (Chatvarimsamsa) Across 18 Sanskrit Shastras
The concordance table below presents the treaty-by-treaty distribution of D40 Khavedamsa (Chatvarimsamsa) and its parent Shodashavarga chapters inside jyotish_corpus_core_v3. Brihat Parashara Hora Shastra establishes the canonical sign-mapping equations and presiding deities for D40 Khavedamsa (Chatvarimsamsa), while Hora Ratnam and Sarvartha Chintamani detail how D40 Khavedamsa (Chatvarimsamsa) modifies natal house lords during Mahadasha fruition.
| Sanskrit Treatise | Verified Passages | Chapter Coverage | Analytical Scope |
|---|---|---|---|
| Brihat Parashara Hora Shastra | 29 passages |
8 ch / 17 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 8 chapters. |
| Hora Ratnam | 17 passages |
3 ch / 9 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 3 chapters. |
| Ashtakavarga Grantha | 8 passages |
3 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 3 chapters. |
| Phaladeepika | 5 passages |
2 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 2 chapters. |
| Brihat Jataka | 5 passages |
3 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 3 chapters. |
| Jaimini Upadesha Sutras | 4 passages |
1 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D40 Khavedamsa (Chatvarimsamsa) across 1 chapters. |
VERBATIM CORPUS FOLIO & VIMSHOPAKA SYNTHESISArchival Public-Domain Folio Excerpt for D40 Khavedamsa (Chatvarimsamsa)
This archival excerpt for D40 Khavedamsa (Chatvarimsamsa) 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, D40 Khavedamsa (Chatvarimsamsa) 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 maternal lineage karma, subtle auspicious & inauspicious habits (shubha-ashubha) through D40 Khavedamsa (Chatvarimsamsa), the astrologer inspects three converging factors: the dignity of the D40 Lagna lord, the placement of the natural significator (Chandra (Matru Lineage Root)) inside D40, and the D40 dispositor of the natal house lord corresponding to the fourth house root karma (fourth harmonic cycle: 3 × 12 + 4).
SUTRA BLACK LABEL · INDIVIDUAL EPHEMERIS SYNTHESISCompute Exact D40 Khavedamsa (Chatvarimsamsa) Cusps & Vimshopaka Scores
This encyclopedia entry documents the classical degree-partition rules of D40 Khavedamsa (Chatvarimsamsa) (00° 45' 00" (45' arc)). Because D40 Khavedamsa (Chatvarimsamsa) and higher divisional harmonics shift signs within minutes of birth time, visit jyotish.vip to compute birth-second DE441
D40(00° 45' 00" (45' arc))DE441Ephemeris (0.001°)Vimshopaka Weight 0.5/20Presiding Varga Deities
