CALCULATOR
Continuous 12-Hour Clock Minor Hand Angle Calculator
Continuous 12-Hour Clock Minor Hand Angle. Example: Time on 12-hour dial, decimal hours: 3.5 h gives 75 degrees. Decimal hours on a 12-hour dial (3.5 means03:30), not HH.MM notation; continuous hands, 12 maps0. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Decimal hours on a 12-hour dial (3.5 means03:30), not HH.MM notation; continuous hands, 12 maps0. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Hour hand advances30 degrees per elapsed hour; minute hand completes one turn per hour, so its position uses fractional elapsed hour.
Accepted inputs: Time on 12-hour dial, decimal hours: 0 to 12 h.
How the calculation works
h=time in decimal hours; delta=|30h-360(h-floor h)|; minor=min(delta,360-delta)
Worked example
With time on 12-hour dial, decimal hours 3.5 h, continuous 12-hour clock minor hand angle is 75 degrees.
Assumptions and limits
Decimal hours on a 12-hour dial (3.5 means03:30), not HH.MM notation; continuous hands, 12 maps0. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Hour hand advances30 degrees per elapsed hour; minute hand completes one turn per hour, so its position uses fractional elapsed hour.