Vyaya (Expenditure) Calculation — Perimeter×9÷10
The Vyaya calculation (perimeter x 9 / 10) determines a building's expenditure t
Local term: व्यय गणना — परिधि×9÷10 (Vyaya Gaṇanā — Paridhi×9÷10)
Modern Vastu practice recognises the Vyaya calculation as a proportional efficiency check — by constraining the perimeter remainder (x9/10), the system selects building dimensions that empirically correlate with lower maintenance costs and better perimeter-to-area ratios. Contemporary architects apply the calculation using metric-to-Hasta conversion tables, and some Vastu software tools flag high Vyaya remainders automatically as part of the compliance report.
Source: Contemporary Vastu compilations; Architectural proportion theory; Modern Vastu Ganita software documentation
Unique: Modern Vastu software tools automate Vyaya calculation — the architect enters external dimensions in metres, the tool converts to Hasta, computes the Vyaya remainder (x9/10), and flags any result where Vyaya exceeds Aaya. Some firms issue a printed Aaya-Vyaya Balance Certificate as part of the Vastu compliance package, specifically highlighting the income-expenditure ratio.
The Rule in Modern Vastu
Ideal
Apply the Vyaya calculation (perimeter x 9 / 10) to the building's external perimeter using metric-to-Hasta conversion, verifying that the Vyaya remainder falls below the Aaya remainder for expenditure-resistant proportions.
Acceptable
Simplified Aaya-Vyaya comparison using metric dimensions is acceptable as a minimum modern standard when traditional Hasta measurement is impractical.
Prohibited
Ignoring the Vyaya check entirely when automated tools make it trivially easy is considered professional negligence in modern Vastu practice — it takes seconds and can prevent expenditure-dominant proportions.
Sub-Rules
- Vyaya expenditure calculation (perimeter x 9 / 10) has been performed and the remainder documented for the building's external perimeter▲ Major
- Vyaya remainder is LOW — the building's proportions resist expenditure drain and Aaya remainder exceeds Vyaya remainder▲ Major
- Vyaya remainder is HIGH and exceeds Aaya remainder — the building's proportions favour expenditure over income, creating a wealth-draining structure▼ Major
- No Vyaya calculation was performed — the building's expenditure tendency from its perimeter proportions is unknown and unchecked▼ Minor
The Vyaya calculation (perimeter x 9 / 10) determines a building's expenditure tendency from its external dimensions. A high Vyaya remainder signals that the structure's proportions resonate with loss and financial drain. The most critical check in Vastu numerology is that the Aaya (income) remainder must exceed the Vyaya (expenditure) remainder — when reversed, the building becomes a Vyaya-griha that devours wealth.
Common Violations
Vyaya remainder exceeds Aaya remainder — expenditure dominates income in the building's proportions
Traditional consequence: The building becomes a Vyaya-griha (expenditure-house) — its very dimensions create a mathematical resonance with Saturn's karmic debt cycle. Classical texts describe this as a structure that 'eats wealth' — occupants experience persistent financial drain regardless of their earning capacity. The Brihat Samhita compares it to a cracked vessel that empties faster than it can be filled.
No Vyaya calculation performed — the building's expenditure tendency is unknown and unchecked
Traditional consequence: Without computing the Vyaya remainder, the Sthapati cannot determine whether the building's proportions favour expenditure or income. This is considered professional negligence in classical texts — the building may be silently draining wealth, and the ignorance of its numerological status offers no protection from the consequences.
How Other Traditions Compare
Relative to Modern Vastu
The Varanasi Sthapati guilds maintain Vyaya-visheshank (expenditure-specific) tables in their Ganita-padhati manuscripts — these list the exact plinth adjustment in Angulas needed to reduce each possible Vyaya remainder. Rajasthani Silawat masons inscribe the Vyaya value below the Aaya on the foundation stone, physically symbolising its subordination to income.
Peshwa-era Wadas in Pune's old city show physical outer-wall jogs of 2-3 cm at the plinth — archaeological evidence of Vyaya remainder correction. The Satara Sutradhar guild maintained Vyaya-specific correction tables calibrated to the Marathi Hasta (27 Angulas), which is slightly longer than the Kashi standard, producing different remainder values for the same physical perimeter.
Tamil Sthapatis of the Vishwakarma community in Kumbakonam maintain palm-leaf Vyaya-correction tables computed to 1/8th Angula precision — the finest resolution in any Indian Vyaya tradition. The Kanchipuram temple-building guild cross-references Vyaya remainders with the building's Nakshatra lord, holding that Saturn-ruled Nakshatras amplify a high Vyaya into a catastrophic defect.
Kakatiya guild record stones at the Warangal Thousand-Pillar Temple contain Vyaya remainder tables carved in Telugu numerals alongside Aaya tables — the oldest surviving physical evidence of paired income-expenditure calculation. Telugu Sthapatis cross-reference the Vyaya remainder with the building's Vara (weekday) lord, holding that Saturday-commenced buildings with high Vyaya face double-Saturn affliction.
Jain Basadis at Mudabidri contain inscribed Vyaya remainder values alongside Aaya values on pillar bases in Halegannada numerals — a permanent mathematical certificate proving expenditure subordination. Hoysala temple plinths at Belur show systematic 1-2 Angula offsets specifically at corners, consistent with Vyaya remainder corrections applied during construction.
The Perumthachan lineage of Kerala master carpenters maintained handwritten Chelavu-correction tables in their Ganita-grantha, calibrated to the Kishku-Kol (Kerala measuring rod). The Manushyalaya Chandrika prescribes a verbal contract: the Thachan announces the Vyaya remainder, and the householder must explicitly accept it — if the Vyaya exceeds Aaya, the householder has a traditional right to demand plinth correction at the Thachan's expense.
Solanki-era Havelis in Patan contain paired Aaya-Vyaya values inscribed in Gujarati numerals on the courtyard foundation — with the Vyaya value carved in deliberately smaller script to symbolise its subordination. The Jain Sthapati tradition treats Vyaya correction as a form of Ahimsa (non-harm) — allowing a patron family to occupy a Vyaya-dominant house is considered inflicting financial suffering.
Bengali Sutradhar guilds of Nabadwip maintained Vyaya-correction tables calibrated to the Bengali Hasta (23 Angulas — shorter than the Kashi standard of 26), which produces different Vyaya remainders for the same physical perimeter. The Ganaka announces the Vyaya value during Bhoomi Puja while the Purohit recites Shani-specific Mantras — a dual mathematical-ritual validation unique to Bengal that specifically targets expenditure pacification.
The Jagannath Temple at Puri is traditionally cited as having the lowest Vyaya remainder of any major Indian temple — its external perimeter, measured in the Kishku-Mana, yields a near-zero expenditure value that Kalinga Sthapatis consider the mathematical ideal. Kalinga Sthapatis use a divisor convention for the Nakshatra sub-calculation that modifies the effective Vyaya remainder, a regional variant found in no other tradition.
Punjabi Raj-Mistri guilds maintained Vyaya-correction tables in their Ganit-pothi calibrated to the Punjabi Gaz (yard measure). The Sikh building tradition holds that allowing a family to occupy a Vyaya-dominant house wastes their Kirat Karni (honest earnings) — the Raj-Mistri who fails to correct the Vyaya bears partial karmic responsibility. Golden Temple renovation records historically included Vyaya verification.
Terms in Modern Vastu
Universal:
Remedies & Solutions
Automated Vyaya calculation and Aaya-Vyaya balance check via Vastu software — modern standard
Modern VastuPrinted Aaya-Vyaya Balance Certificate as part of Vastu compliance documentation
Modern VastuPerform the Vyaya calculation (perimeter x 9 / 10) on the building's external perimeter. If the Vyaya remainder exceeds the Aaya remainder, adjust the outer plinth dimension by 1-2 Angulas (2-4 cm) to reduce the Vyaya remainder below the Aaya value.
If physical dimension adjustment is not feasible, perform Shani Graha Shanti Homa — a Saturn-specific fire ritual prescribed for pacifying expenditure-dominant numerological affliction in existing structures.
Consult a qualified Sthapati (traditional architect) for precise Vyaya remainder analysis and perimeter-specific remediation using regional Hasta/Angula measurement standards.
Remedies from other traditions
Plinth dimension micro-adjustment using Vyaya-correction tables from Varanasi Ganita-padhati
Vedic VastuShani Graha Shanti Homa if post-construction Vyaya correction is needed
Outer-wall plinth jog of 2-3 cm to correct Vyaya remainder — Maharashtrian Sutradhar technique
HemadpanthiShani Shanti Puja with Til (sesame) offerings at the corrected perimeter
Classical Sources
“Let the Sthapati multiply the griha's outer measure by nine and divide by ten — the remainder thus obtained is the Vyaya. If this Vyaya exceeds the Aaya, the dwelling shall consume its master's wealth as a drought consumes the river, leaving only the dry bed of penury.”
“The ninth part of the perimeter, divided tenfold, reveals the house's appetite for wealth. Where this remainder swells beyond the remainder of gain, no amount of ritual can fully staunch the outflow — only correction of the outer measure restores balance between earning and spending.”
“Multiply the bahya-paridhi by nine and cast away the tens — what remains is Vyaya, the seed of loss. A wise builder fears a high Vyaya as a farmer fears the locust, for both devour what has been gathered with great labour.”
“Vishvakarma spoke: of the six reckonings, none is more feared than Vyaya, for it measures the hunger of a house. A dwelling whose loss-remainder surpasses its gain-remainder is as a vessel pierced at the bottom — however much is poured in, the vessel empties before the moon completes her course.”
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