Ancient Greek Numeral Calculator
Use this calculator to convert Ancient Greek numerals to numbers, or enter a whole number to convert it back. It uses Ionic/Milesian notation with the thousands marker ͵.
Ancient Greek and Arabic place values
| Greek segment | Arabic value |
|---|---|
| Enter a value to see place values. | |
Ancient Greek numerals chart
The chart below lists core Ionic/Milesian symbols and values used in this calculator.
| Symbol | Value | Group |
|---|---|---|
| α | 1 | Units |
| β | 2 | Units |
| γ | 3 | Units |
| δ | 4 | Units |
| ε | 5 | Units |
| ϛ | 6 | Units |
| ζ | 7 | Units |
| η | 8 | Units |
| θ | 9 | Units |
| ι | 10 | Tens |
| κ | 20 | Tens |
| λ | 30 | Tens |
| μ | 40 | Tens |
| ν | 50 | Tens |
| ξ | 60 | Tens |
| ο | 70 | Tens |
| π | 80 | Tens |
| ϟ | 90 | Tens |
| ρ | 100 | Hundreds |
| σ | 200 | Hundreds |
| τ | 300 | Hundreds |
| υ | 400 | Hundreds |
| φ | 500 | Hundreds |
| χ | 600 | Hundreds |
| ψ | 700 | Hundreds |
| ω | 800 | Hundreds |
| ϡ | 900 | Hundreds |
| ͵α | 1,000 | Thousands |
| ͵β | 2,000 | Thousands |
| ͵γ | 3,000 | Thousands |
| ͵δ | 4,000 | Thousands |
| ͵ε | 5,000 | Thousands |
| ͵ϛ | 6,000 | Thousands |
| ͵ζ | 7,000 | Thousands |
| ͵η | 8,000 | Thousands |
| ͵θ | 9,000 | Thousands |
| ͵ι | 10,000 | Tens of thousands |
| ͵κ | 20,000 | Tens of thousands |
| ͵λ | 30,000 | Tens of thousands |
| ͵μ | 40,000 | Tens of thousands |
| ͵ν | 50,000 | Tens of thousands |
| ͵ξ | 60,000 | Tens of thousands |
| ͵ο | 70,000 | Tens of thousands |
| ͵π | 80,000 | Tens of thousands |
| ͵ϟ | 90,000 | Tens of thousands |
| ͵ρ | 100,000 | Hundreds of thousands |
| ͵σ | 200,000 | Hundreds of thousands |
| ͵τ | 300,000 | Hundreds of thousands |
| ͵υ | 400,000 | Hundreds of thousands |
| ͵φ | 500,000 | Hundreds of thousands |
| ͵χ | 600,000 | Hundreds of thousands |
| ͵ψ | 700,000 | Hundreds of thousands |
| ͵ω | 800,000 | Hundreds of thousands |
| ͵ϡ | 900,000 | Hundreds of thousands |
How this calculator works
The calculator parses each Greek numeral symbol by place value, computes a total integer value, and then outputs canonical Ancient Greek notation in descending order.
For thousands, this page uses the Greek lower numeral sign ͵ before symbols (for example ͵γ = 3,000).
Rules and limits
- Supported range: 1 to 999,999.
- Supported symbols: α β γ δ ε ϛ ζ η θ ι κ λ μ ν ξ ο π ϟ ρ σ τ υ φ χ ψ ω ϡ.
- Thousands notation is handled with ͵ before the relevant symbol(s).
- Input must be in canonical descending order for deterministic conversion.
Historical Context & The Ionic Numeral System
The Evolution of the Greek Alphabetic (Ionic) Numeral System
The Ancient Greek numeral system utilized in this calculator is known as the Ionic or Milesian notation. Developed around the 4th century BC, this alphabetic system eventually superseded the earlier Attic (or Herodianic) acrophonic system, which functioned similarly to Roman numerals by using the first letters of number names as symbols.
A Higher Dimension of Arithmetic
Unlike the Attic system, the Ionic system assigned a unique letter to each unit (1-9), ten (10-90), and hundred (100-900). To facilitate this, the Greeks utilized the standard 24-letter alphabet plus three obsolete Phoenician letters known as episemon:
- Stigma (ϛ) for the number 6.
- Koppa (ϟ) for the number 90.
- Sampi (ϡ) for the number 900.
This method allowed for more compact notation and advanced mathematical calculations compared to many contemporary systems.
Handling Large Numbers and the Myriad
To represent values from 1,000 to 999,999, the system employs a specialized lower numeral sign or left-hand subscript known as the ͵ (keraia). Placing this mark before a unit letter (for example ͵α) multiplies its value by 1,000. For numbers exceeding 10,000, the Greeks often used the Myriad (M), though our deterministic engine handles these large values using the standard canonical notation for clarity and precision.
Deterministic Accuracy for Modern Research
Because the Ionic system is additive rather than positional (like our modern Arabic system), the order of symbols is traditionally descending. Our calculator ensures that every conversion, whether you are deciphering a 2nd-century manuscript or generating educational material, is technically accurate and formatted to reference-grade standards.
Common use cases
- Reading inscriptions and historical references
- Converting manuscript numerals to modern values
- Formatting educational material with Greek number notation
- Cross-checking value transcription