Hours Minutes Seconds

On planet Nibieru, a day is $H$ hours long, an hour is $M$ minutes long and a minute is $S$ seconds long. Consider a clock on this planet which has the regular hours, minutes and seconds hands sweeping normally like the clocks on Earth. Given time stamp $a:b:c$ (read a hours b minutes c seconds) on planet Nibieru, calculate the angle between the Hour hand and the Minute Hand of the clock at that t