HARMONIC ATLAS (D4 · 4 DIVISIONS PER SIGN)D4 Chaturthamsa (Turyamsa) (Caturthāṃśa (Turyāṃśa)) — 07° 30' 00" (450' arc)
In the sixteen-fold divisional system (Shodashavarga) of Maharishi Parashara, D4 Chaturthamsa (Turyamsa) (Caturthāṃśa (Turyāṃśa)) partitions each 30° 00' sidereal sign into 4 harmonic segments of 07° 30' 00" (450' arc) to examine Landed Property (Kshetra), Fixed Assets, Residence & Emotional Contentment (Sukha). Within jyotish_corpus_core_v3, D4 Chaturthamsa (Turyamsa) is indexed in 10 direct varga passages (7 shlokas) and 83 combined Shodashavarga concordance passages across 12 Sanskrit treatises.
D4 Chaturthamsa (Turyamsa)
D4 Chaturthamsa (Turyamsa) belongs to Bheda Cycle I (Physical & Root Plane: D1–D12), correlates with the Fourth House (Sukha Bhava), and has Chandra, Shukra, and Mangala (Bhumi Karaka) as its natural significator. In the twenty-point Shodashavarga Vimshopaka Bala scale, D4 Chaturthamsa (Turyamsa) carries an official Parashari weight of 0.5 / 20.0 points.
PARASHARI DEGREE-PARTITION ALGORITHMMathematical Construction & Sign-Mapping Rules of D4 Chaturthamsa (Turyamsa)
The mathematical construction of D4 Chaturthamsa (Turyamsa) is codified in Brihat Parashara Hora Shastra Chapter 6 Verse 5 and Chapter 7 Verse 2 and Hora Ratnam Chapter 2 Chaturthamsa Section. To compute the harmonic placement of any Graha or Lagna in D4 Chaturthamsa (Turyamsa), the astronomer takes the exact sidereal degree within the occupied sign: Four equal 7°30' quarters project into the 1st (Sanaka), 4th (Sanandana), 7th (Sanatkumara), and 10th (Sanatana) Kendra signs from the natal sign.
Across the composite Varga weighting schemes of Brihat Parashara Hora Shastra Chapter 7, D4 Chaturthamsa (Turyamsa) contributes 0.0 points in Shadvarga, 0.0 points in Saptavarga, 1.5 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 |
|---|---|---|---|
First Quarter (00° 00' – 07° 30') |
All 12 Sidereal Rashis | 1st Sign (Occupied Natal Sign Itself) |
Deity Sanaka; governs ancestral homestead and foundational domestic peace in D4. |
Second Quarter (07° 30' – 15° 00') |
All 12 Sidereal Rashis | 4th Sign from Occupied Natal Rashi |
Deity Sanandana; governs agricultural land, estates, and conveyances in D4. |
Third Quarter (15° 00' – 22° 30') |
All 12 Sidereal Rashis | 7th Sign from Occupied Natal Rashi |
Deity Sanatkumara; governs relocation, foreign residence, and commercial realty in D4. |
Fourth Quarter (22° 30' – 30° 00') |
All 12 Sidereal Rashis | 10th Sign from Occupied Natal Rashi |
Deity Sanatana; governs institutional buildings and enduring treasury in D4. |
MULTI-TREATISE SHASTRA CONCORDANCECorpus Coverage of D4 Chaturthamsa (Turyamsa) Across 18 Sanskrit Shastras
The concordance table below presents the treaty-by-treaty distribution of D4 Chaturthamsa (Turyamsa) and its parent Shodashavarga chapters inside jyotish_corpus_core_v3. Brihat Parashara Hora Shastra establishes the canonical sign-mapping equations and presiding deities for D4 Chaturthamsa (Turyamsa), while Hora Ratnam and Sarvartha Chintamani detail how D4 Chaturthamsa (Turyamsa) modifies natal house lords during Mahadasha fruition.
| Sanskrit Treatise | Verified Passages | Chapter Coverage | Analytical Scope |
|---|---|---|---|
| Brihat Parashara Hora Shastra | 30 passages |
8 ch / 18 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 8 chapters. |
| Hora Ratnam | 17 passages |
3 ch / 9 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 3 chapters. |
| Ashtakavarga Grantha | 8 passages |
3 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 3 chapters. |
| Phaladeepika | 5 passages |
2 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 2 chapters. |
| Brihat Jataka | 5 passages |
3 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 3 chapters. |
| Brihat Samhita | 4 passages |
3 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D4 Chaturthamsa (Turyamsa) across 3 chapters. |
VERBATIM CORPUS FOLIO & VIMSHOPAKA SYNTHESISArchival Public-Domain Folio Excerpt for D4 Chaturthamsa (Turyamsa)
This archival excerpt for D4 Chaturthamsa (Turyamsa) is retrieved from the public-domain edition of Brihat Samhita (Chapter 46, Verse 71) in jyotish_corpus_core_v3. In classical chart synthesis, D4 Chaturthamsa (Turyamsa) is never read in isolation from the root D1 Rashi chart and the D9 Navamsa chart.
CORPUSPROVENANCE: Brihat Samhita | SourceID: archive_brihatsamhitavarahamihirabruhatsubrahmanyasastriv.missingpages537756757_284_s | Chapter 46, Verse 71 "AdhXLVIIIS171-73 898: Pulasthya, Kratu, Angiras, Bhrigu, Sanatkumara;, Sanaka, Sanandana, Sanatana, Daksha, Jaigeeshavya, Bhagan- dara, Ekata, Dwita, Trita, Jabali, Kasyapa, Durvasas, Durvineeta, Kanwa, Katyayana, Markandeya, Deergha- tapas, Sunassepha, Viduratha, Urva, Samvarthaka, Chya- vana, Atri, Parasara, Dwaipayana, Yavakreeta, Deva- raja and his younger brother, Mountains, Trees, Creep ers, Holy places, Prajapati,"
When evaluating landed property (kshetra), fixed assets, residence & emotional contentment (sukha) through D4 Chaturthamsa (Turyamsa), the astrologer inspects three converging factors: the dignity of the D4 Lagna lord, the placement of the natural significator (Chandra, Shukra, and Mangala (Bhumi Karaka)) inside D4, and the D4 dispositor of the natal house lord corresponding to the fourth house (sukha bhava).
SUTRA BLACK LABEL · INDIVIDUAL EPHEMERIS SYNTHESISCompute Exact D4 Chaturthamsa (Turyamsa) Cusps & Vimshopaka Scores
This encyclopedia entry documents the classical degree-partition rules of D4 Chaturthamsa (Turyamsa) (07° 30' 00" (450' arc)). Because D4 Chaturthamsa (Turyamsa) and higher divisional harmonics shift signs within minutes of birth time, visit jyotish.vip to compute birth-second DE441
D4(07° 30' 00" (450' arc))DE441Ephemeris (0.001°)Vimshopaka Weight 0.5/20Presiding Varga Deities
