Āyādi Ṣaḍvarga Modular Formulations
The dimensional tuning mathematics of Sthāpatya Veda: converting building perimeters into sacredHasta units and applying six modular formulas to ensure energetic harmony and economic prosperity.
पदेनैवाष्टकं हत्वा द्वादशभिर्हरेत् फलम्। शेषं आय इति ख्यातं व्ययं दशभिरेव च॥
padenaivāṣṭakaṃ hatvā dvādaśabhir haret phalam | śeṣaṃ āya iti khyātaṃ vyayaṃ daśabhir eva ca ||
1. Canonical Unit of Measure: The Sacred Hasta
In Vedic metrology, architectural proportions are never computed in arbitrary modern units. They are evaluated in Kiṣku Hasta (canonical cubit), standardized across classical literature:
Width of thumb / 8 Yava barley grains
Exactly 24 Aṅgulas (45.72 cm)
4 Hastas (used in town planning)
Conversion to Canonical Hasta Perimeter
Parameters & variables
P_feet- Imperial Perimeter: Exterior wall perimeter in feet(feet)
P_hasta- Sacred Perimeter: Perimeter expressed in canonical Hastas(Hastas)
2. The 6 Canonical Modular Equations
The perimeter is multiplied by a sacred harmonic factor and modulo-divided to reveal six dimensions of cosmic resonance:
Remainder ranges from 1 to 12 (if 0, treated as 12). Higher numbers indicate greater abundance and financial stability.
Remainder ranges from 1 to 10. Represents resource depletion and unexpected maintenance overhead.
Remainder determines the governing animal archetype. Odd numbers (1, 3, 5, 7) are auspicious; even numbers (2, 4, 6, 0) are inauspicious.
Remainder 1–7 links the building to planetary energies. Benefic planets (Jupiter=5, Venus=6, Mercury=4) are optimal.
Remainder 1–27 reveals the building’s birth Nakshatra, which should be harmoniously compatible with the owner’s birth star.
Remainder indicates the energetic lifespan of the structure in years. A value > 60 is highly desirable.
| Residue | Yoni | Direction | Quality | Verdict |
|---|---|---|---|---|
| 1 | Dhvaja (ध्वज / Flag) | East | Victory, Fame, Enterprise | Highly Auspicious |
| 2 | Dhūma (धूम / Smoke) | South-East | Sorrow, Agitation, Conflict | Inauspicious |
| 3 | Siṃha (सिंह / Lion) | South | Courage, Power, Majesty | Highly Auspicious |
| 4 | Śvāna (श्वान / Dog) | South-West | Enmity, Instability, Fear | Inauspicious |
| 5 | Vṛṣabha (वृषभ / Bull) | West | Abundance, Wealth, Nourishment | Highly Auspicious |
| 6 | Khara (खर / Donkey) | North-West | Poverty, Loss of Wealth | Inauspicious |
| 7 | Gaja (गज / Elephant) | North | Royal Dignity, Treasury, Sovereignty | Highly Auspicious |
| 0 | Kāka (काक / Crow) | North-East | Disease, Destruction | Inauspicious |
3. The Golden Rule: Āya > Vyaya
Across all Sanskrit treatises (Mānasāra 9.16, Mayamata 9.19), the cardinal rule of architectural tuning is that Āya (Inflow) must strictly exceed Vyaya (Outflow). When Āya > Vyaya, the structure accumulates wealth, mental serenity, and vitality. If Vyaya ≥ Āya, occupants experience chronic financial leakage and debilitating stress.
Āyādi Ṣaḍvarga sandbox
Illustration, not the engineChange a dimension and watch the modular arithmetic move. The residues here are computed in the page so the steps are visible; the authoritative values come from the Vaasthu engine.
Perimeter = 2 × (L + W) ÷ 1.5 ft/hasta = 93 hasta
- Āya (×8 mod 12)
- 12
- Vyaya (×9 mod 10)
- 7
- Yoni (×3 mod 8)
- 7 · Gaja (Elephant)
- Vāra (×9 mod 7)
- Budha (Mercury)
- Nakṣatra (×8 mod 27)
- 15
- Āyu (×27 mod 100)
- 11
Āya clears Vyaya — the condition the set is checked for.
Yoni 7 (North) is an odd, favourable yoni — Exalted / abundance.