HARMONIC ATLAS (D20 · 20 DIVISIONS PER SIGN)D20 Vimsamsa (Viṃśāṃśa (Upāsanāṃśa)) — 01° 30' 00" (90' arc)
In the sixteen-fold divisional system (Shodashavarga) of Maharishi Parashara, D20 Vimsamsa (Viṃśāṃśa (Upāsanāṃśa)) partitions each 30° 00' sidereal sign into 20 harmonic segments of 01° 30' 00" (90' arc) to examine Spiritual Discipline (Upasana), Mantra Diksha, Ishta Devata & Contemplative Dedication. Within jyotish_corpus_core_v3, D20 Vimsamsa is indexed in 8 direct varga passages (4 shlokas) and 81 combined Shodashavarga concordance passages across 12 Sanskrit treatises.
D20 Vimsamsa
D20 Vimsamsa belongs to Bheda Cycle II (Mental & Subtle Plane: D13–D24), correlates with the Fifth and Eighth/Ninth Spiritual Axis (Second Harmonic Cycle), and has Guru and Ketu (Moksha Karaka) as its natural significator. In the twenty-point Shodashavarga Vimshopaka Bala scale, D20 Vimsamsa carries an official Parashari weight of 0.5 / 20.0 points.
PARASHARI DEGREE-PARTITION ALGORITHMMathematical Construction & Sign-Mapping Rules of D20 Vimsamsa
The mathematical construction of D20 Vimsamsa is codified in Brihat Parashara Hora Shastra Chapter 6 Verse 11 and Chapter 7 Verse 3 and Hora Ratnam Chapter 2 Vimsamsa Section. To compute the harmonic placement of any Graha or Lagna in D20 Vimsamsa, the astronomer takes the exact sidereal degree within the occupied sign: Twenty equal 1°30' segments: Movable (Chara) signs count from Mesha, Fixed (Sthira) signs count from Dhanu, and Dual (Dwiswabhava) signs count from Simha.
Across the composite Varga weighting schemes of Brihat Parashara Hora Shastra Chapter 7, D20 Vimsamsa 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 |
|---|---|---|---|
20 Segments of 01° 30' 00" |
Movable / Chara Signs (Mesha, Karka, Tula, Makara) | Counts forward from Mesha (Aries, 1st Sign) |
Governed by twenty Shakti deities from Kali and Gauri to Jaya and Vijaya in D20. |
20 Segments of 01° 30' 00" |
Fixed / Sthira Signs (Vrishabha, Simha, Vrishchika, Kumbha) | Counts forward from Dhanu (Sagittarius, 9th Sign) |
Inverts the fire-trine sequence compared to D16, prioritizing dharmic sadhana in D20. |
20 Segments of 01° 30' 00" |
Dual / Dwiswabhava Signs (Mithuna, Kanya, Dhanu, Meena) | Counts forward from Simha (Leo, 5th Sign) |
Channels fifth-house mantra intelligence into sustained meditative contemplation in D20. |
Fifth & Ninth Houses of |
Upasana & Diksha Axis | Evaluated alongside Atmakaraka in Navamsa |
Reveals the practitioner's affinity for Vedic ritual, Vedanta, or tantric mantra in D20. |
MULTI-TREATISE SHASTRA CONCORDANCECorpus Coverage of D20 Vimsamsa Across 18 Sanskrit Shastras
The concordance table below presents the treaty-by-treaty distribution of D20 Vimsamsa and its parent Shodashavarga chapters inside jyotish_corpus_core_v3. Brihat Parashara Hora Shastra establishes the canonical sign-mapping equations and presiding deities for D20 Vimsamsa, while Hora Ratnam and Sarvartha Chintamani detail how D20 Vimsamsa 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 D20 Vimsamsa across 8 chapters. |
| Hora Ratnam | 17 passages |
3 ch / 9 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D20 Vimsamsa across 3 chapters. |
| Ashtakavarga Grantha | 8 passages |
3 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D20 Vimsamsa across 3 chapters. |
| Phaladeepika | 5 passages |
2 ch / 3 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D20 Vimsamsa across 2 chapters. |
| Brihat Jataka | 5 passages |
3 ch / 4 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D20 Vimsamsa across 3 chapters. |
| Saravali | 4 passages |
1 ch / 2 v |
Codifies degree-partition rules, presiding varga deities, and Vimshopaka Bala evaluation for D20 Vimsamsa across 1 chapters. |
VERBATIM CORPUS FOLIO & VIMSHOPAKA SYNTHESISArchival Public-Domain Folio Excerpt for D20 Vimsamsa
This archival excerpt for D20 Vimsamsa 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, D20 Vimsamsa 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 spiritual discipline (upasana), mantra diksha, ishta devata & contemplative dedication through D20 Vimsamsa, the astrologer inspects three converging factors: the dignity of the D20 Lagna lord, the placement of the natural significator (Guru and Ketu (Moksha Karaka)) inside D20, and the D20 dispositor of the natal house lord corresponding to the fifth and eighth/ninth spiritual axis (second harmonic cycle).
SUTRA BLACK LABEL · INDIVIDUAL EPHEMERIS SYNTHESISCompute Exact D20 Vimsamsa Cusps & Vimshopaka Scores
This encyclopedia entry documents the classical degree-partition rules of D20 Vimsamsa (01° 30' 00" (90' arc)). Because D20 Vimsamsa and higher divisional harmonics shift signs within minutes of birth time, visit jyotish.vip to compute birth-second DE441
D20(01° 30' 00" (90' arc))DE441Ephemeris (0.001°)Vimshopaka Weight 0.5/20Presiding Varga Deities
