Krishnamurti Paddhati - Sub-Lord analysis with Placidus cusps
Krishnamurti Paddhati subdivides each of the 27 nakshatras into nine sub-divisions sized in the Vimshottari proportion, and judges a point by the lord of the sub it falls in rather than by the lord of its sign.
Across the zodiac that gives 249 rows, each carrying a sign lord, a star lord and a sub lord. This page computes the twelve Placidus cusps for your birth data, resolves every cusp and every graha to its star lord, sub lord and sub-sub lord, and derives the four-step significators from them.
The practical difference is resolution. A sign is 30 degrees and a nakshatra is 13 degrees 20 minutes, but the KP subs are unequal and the smallest, the Sun's, is only 40 arc-minutes wide, while the largest, Venus's, is 2 degrees 13 minutes. Two people born a few minutes apart can therefore share every sign and every star and still differ in the sub lord that KP treats as decisive.
KP is defined on Placidus cusps rather than on whole signs, and this app computes them that way. Because Placidus houses are unequal, the twelve cusps are not a rotation of the twelve signs: the same sign can hold two consecutive cusps, so one graha can own two houses, and the lord of an intercepted sign owns none. A graha's house is the one whose cuspal interval contains its longitude, the half-open range from cusp N up to cusp N+1, not the sign counted from the lagna.
Placidus is geometrically undefined inside the polar circle, at latitudes at or beyond about 66.56 degrees, where the ephemeris quietly substitutes a different house system. The app does not hide that. A chart cast for such a place is marked as not valid KP, because every sub lord, significator and interlink verdict below would then be derived from boundaries that are not KP's. City lookup falls back to a worldwide geocoder, so those latitudes genuinely arrive.
Twenty-seven nakshatras times nine subs is 243. The standard KP table has 249 because six sub spans straddle a sign boundary, and a span that crosses a 30 degree mark is split into two rows, one on each side. Every row therefore carries exactly one sign lord, which is what lets a KP number stand for a definite sign, star and sub at once.
Every boundary in this table is computed from a single exact ratio rather than accumulated along the way. The zodiac holds 27 times 120, that is 3240, Vimshottari year-units, and the boundary that closes a given count of them sits at that count times 360 divided by 3240.
Accumulating instead makes the shared boundary between two nakshatras differ in the last bits depending on which side you approach from, and because the 249 intervals are half-open, a longitude sitting exactly on a boundary can then match the row below it and report the wrong star lord.
KP ranks the planets that signify a house from strongest to weakest in a fixed four-level order. A is planets standing in the star of an occupant of the house; B is the occupants themselves; C is planets standing in the star of the owner of the house; D is the owner. The order is K.S. Krishnamurti's, from the KP Readers: a planet in the nakshatra of an occupant outranks the occupant, and the bare house owner is the weakest of the four.
Both limbs are read cuspally here rather than by whole sign. Occupancy is the cuspal interval described above, and the owner of a house is the lord of the sign that the cusp itself falls in, which is the sign-lord row of the standard KP cusp table. Rahu and Ketu take part through their own star lord for A and C and through their occupancy for B; because the nodes own no sign, D is always one of the seven classical grahas.
The ruling planets are the lords in force at the moment a chart is cast, listed in the strength order KP gives them: the star lord of the lagna, the lagna lord, the star lord of the Moon, the sign lord of the Moon, and the lord of the weekday, with the sub lord of the lagna and the sub lord of the Moon added afterwards. The page prints each entry beside the role that put it there.
A node enters the list in its own right rather than replacing anything. Rahu or Ketu joins when it is conjoined with a ruling planet within five degrees, aspected by one under sign-to-sign aspects, standing in a sign owned by one, or standing in the star of one; and a node deposited in the sub of a retrograde planet carries no strength.
When a node itself appears as a ruling planet, the planets conjoined with it, the planets it aspects and the lord of its sign are added as well.
The bhava promise tab judges a house's matter by one planet, the sub lord of that house's cusp, tested against the significator houses the KP corpus names as favourable or detrimental for that bhava. That is the corpus's own rule, stated in its own terms, and it is applied as stated rather than blended with a Parashari reading of the same house.
What the page will not do is compare significator hit counts against each other to produce a score. No source in the KP corpus counts significators against one another, so nothing here is summed into a number or a percentage. What is shown instead is the limb each significator arrived through, A, B, C or D, because that ranking is the one KP actually states.