Convert Signs to NATO Angular Mils
Convert Signs (sign) to NATO Angular Mils (mil (NATO)) instantly and accurately.
Conversion Formula
mil (NATO) = sign × 533.3333333
About Signs
An astrological sign equals 1/12 of a full circle - π/6 rad = exactly 30°. The zodiac divides the ecliptic into twelve 30° signs (Aries through Pisces), originating in Babylonian astronomy ~5th century BCE. Historical ecliptic longitude was expressed as sign + degrees: "Scorpio 12°" = 222°. The 30° spacing also appears in music theory: the circle of fifths has twelve equally spaced positions 30° apart, and the octave divides into 12 equal semitones. 1 sign = 30° = 1,800′ = π/6 rad = 533.3 NATO mils.
About NATO Angular Mils
The NATO angular mil equals 1/6,400 of a full circle - π/3,200 rad ≈ 0.9817 mrad. Artillery and mortar crews rely on its practical small-angle equivalence: 1 mil at 1,000 m subtends ~1 m (exact: 0.9817 m), enabling rapid range correction calculations. The 6,400-mil circle divides cleanly: 1,600 mils = 90°, 3,200 mils = 180°. Note: 1 NATO mil ≈ 0.9817 mrad - not the same as a milliradian; the 1.8% difference equals ~18 mm at 1,000 m. 1° ≈ 17.778 NATO mils.
Quick Reference Table
| Signs (sign) | NATO Angular Mils (mil (NATO)) |
|---|---|
| 1 sign | 533.333 mil (NATO) |
| 2 sign | 1066.67 mil (NATO) |
| 5 sign | 2666.67 mil (NATO) |
| 10 sign | 5333.33 mil (NATO) |
| 25 sign | 13333.3 mil (NATO) |
| 50 sign | 26666.7 mil (NATO) |
| 100 sign | 53333.3 mil (NATO) |