Choghadiya and Rahu Kaal are the two muhurta systems people use most, and both rest on the same arithmetic. Once you see it, the tables stop looking arbitrary.
The eighths
Take the time from sunrise to sunset and divide it into eight equal parts. Do the same for sunset to the next sunrise. That is the whole structure.
Note what this implies: the parts are not sixty or ninety minutes. In Delhi in June a daytime eighth is about ninety-five minutes; in December it is about eighty. A muhurta table that gives you fixed clock times all year is not doing this calculation.
Choghadiya
Each of the eight daytime parts is assigned a name — Amrit, Shubh, Labh, Chal, Udveg, Kaal, Rog — and each name carries a planet and a traditional quality: good, neutral, or best avoided.
Which name lands on which part rotates by weekday. Sunday's first daytime choghadiya is Udveg; Monday's is Amrit; and so on through a fixed cycle. The night sequence is a separate rotation.
So the same clock hour is a different choghadiya on different days, and the same choghadiya falls at a different hour in a different season and a different city.
Rahu Kaal
Rahu Kaal is one of those same eighths — specifically the one assigned to Rahu, which also rotates by weekday. Sunday is the eighth part, Monday the second, Tuesday the seventh, Wednesday the fifth, Thursday the sixth, Friday the fourth, Saturday the third.
Yamaganda and Gulika Kaal are two more eighths on their own rotations, calculated the same way.
Why yours differs from a printed almanac
Almost always because of sunrise. A printed panchang is computed for one city. Sunrise in Ahmedabad and Kolkata differs by about fifty minutes, and every eighth shifts with it.
Our choghadiya and panchang pages calculate from the place you select, which is why we ask for it rather than assuming Delhi.
How much weight to give it
This is a traditional system of timing, widely used, with no evidence that the eighths correspond to anything measurable. Many people find it useful as a way of structuring a day and giving decisions a moment. That is a reasonable thing to want.
What we would say plainly: do not miss a medical appointment or a flight because of a Kaal choghadiya. The tradition itself has always allowed that necessity overrides timing.