Heavenly Stems & Earthly Branches Calculator
Convert Gregorian birth years into Heavenly Stems (Can), Earthly Branches (Chi), and Nap Am elements.
Input Parameters
Live Result
Sexagenary Cycle & Element Phase
Details
Steps
Compute Heavenly Stem index: (Year - 4) mod 10
Compute Earthly Branch index: (Year - 4) mod 12
Lookup 60 Sexagenary cycle Nap Am element
Quick Answer & Understanding Your Result
The Can Chi system (Sexagenary Cycle) is calculated by matching the 10 Heavenly Stems (Thien Can) with the 12 Earthly Branches (Dia Chi) to generate 60 unique annual astrological combinations (Luc Thap Hoa Giap).
The 10 Heavenly Stems (Thien Can) by Year Ending
- Canh (0) & Tan (1): Metal Element (Kim)
- Nham (2) & Quy (3): Water Element (Thuy)
- Giap (4) & At (5): Wood Element (Moc)
- Binh (6) & Dinh (7): Fire Element (Hoa)
- Mau (8) & Ky (9): Earth Element (Tho)
The 12 Earthly Branches (Dia Chi) by Modulo 12
- Rat (Ty), Ox (Suu), Tiger (Dan), Cat/Rabbit (Mao)
- Dragon (Thin), Snake (Ty), Horse (Ngo), Goat (Mui)
- Monkey (Than), Rooster (Dau), Dog (Tuat), Pig (Hoi)
Enter any Gregorian birth year above to discover its exact Heavenly Stem, Earthly Branch, Yin-Yang polarity, and 30 Nap Am element.
Formula & Calculation Logic
Mathematical FormulaModulo 10 and modulo 12 equations mapped to Gregorian astronomical base year offset.
Step-by-Step Guide
Enter Birth Year
Input any Gregorian solar calendar year (e.g., 1990, 2024, 2026).
Review Can Chi Combination
View the Heavenly Stem and Earthly Branch pair.
Inspect Nap Am & Polarity
View your associated 30 Nap Am element and Yin-Yang assignment.
Explore Fortunes
Use your Can Chi to analyze life milestones and compatibility.
Worked Examples Table
| Example | Input Values | Calculated Result | Explanation |
|---|---|---|---|
| Year 1990 (Gregorian) | (1990-3) mod 10 = 7 (Canh), (1990-3) mod 12 = 7 (Ngo). | ||
| Year 2024 (Gregorian) | (2024-3) mod 10 = 1 (Giap), (2024-3) mod 12 = 5 (Thin). |
Frequently Asked Questions
Evidence-Based Methodology & Authoritative References
Institute of Han-Nom Studies - Historical Vietnamese Chronology
Vietnam Academy of Social Sciences - Eastern Astronomical Heritage
Standard: ISO / W3C / IETF Authoritative Domain Standard
Formula: Thien Can Index = (Year - 3) mod 10
Last Reviewed: August 21, 2026
Primary Source: Institute of Han-Nom Studies - Historical Vietnamese Chronology
Reference Document: Vietnam Academy of Social Sciences - Eastern Astronomical Heritage
Computation Privacy: 100% client-side 0ms computation, zero data retention
Traditional calendar, cultural, and spiritual calculations are derived from Eastern cultural folk traditions and historical reference literature for personal research and cultural appreciation.
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Calculated results are modeled based on standard scientific and mathematical formulas. Please verify with domain-specific technical documentation for specialized applications.