The two systems
Two systems, side by side
Most numerology you meet online is one of two systems, and they disagree. Not on everything, but enough that the same name can give you different numbers depending on which one a site uses. Here is what actually separates them, where they genuinely conflict, and why we show both.
The short answer
Pythagorean numerology assigns letters to numbers 1 through 9 in plain alphabetical order, and it is the modern Western standard. Chaldean numerology uses an older, non-sequential letter table that goes 1 through 8, never assigning 9 to a letter, and it ties numbers to planets. The two produce different name numbers because they count the letters differently. Neither is proven. Both are traditions, not sciences.
The Pythagorean system
The Pythagorean system maps A to 1, B to 2, and so on up to I at 9, then starts again at J for 1. It is simple, easy to calculate by hand, and it is what most contemporary numerology books and calculators use, including the Life Path and name numbers on this site.
There is an honest wrinkle worth naming. There is no historical evidence that Pythagoras, the mathematician the system is named after, practiced letter numerology at all. The association is later and largely symbolic. That does not make the system worthless, traditions can be useful without being ancient, but a site that hides it is hoping you will not check. We would rather tell you.
The Chaldean system
The Chaldean system is older, traced to ancient Babylonian practice. Its letter table is not alphabetical, it assigns values based on the sound and vibration the tradition associated with each letter, and it runs 1 through 8 only. The number 9 was held as sacred and kept separate from the letters. Chaldean numerology also leans heavily on planetary symbolism, reading each number as tied to a celestial body.
Because the letter values differ, a Chaldean name reading and a Pythagorean one will usually not match. Practitioners who favour the Chaldean system tend to argue it is more accurate precisely because it is older and sound-based. That is a claim from within the tradition, not a proven fact.
Where they genuinely disagree
The real divergence is the letter table, and it only affects name-based numbers. Your Life Path, which comes from your birth date, is calculated the same way in both systems, so it does not change. But your Expression, Soul Urge, and Personality numbers, all built from your name, can differ depending on which table is used.
There is a second, subtler disagreement about the compound numbers, the meanings assigned to two-digit numbers like 11, 12, or 21 before they are reduced. The Chaldean tradition, through writers like Cheiro, gives these named, often fatalistic meanings. The Pythagorean tradition tends to reduce more readily to the single digit. We read compound numbers as descriptive patterns rather than predictions, whichever table they come from.
So which should you use?
There is no correct answer, because neither is verifiable. The honest framing is that these are two different lenses on the same set of letters, developed by different cultures for different purposes. A lens is useful if looking through it shows you something worth seeing, not because it is the one true lens.
This site uses the Pythagorean table for its name calculator, because it is the modern standard and the easiest to show the math for. Where the Chaldean tradition adds something genuinely different, like the named compound meanings, we bring it in and say where it comes from. What we do not do is pretend either system is settled fact.