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Tensor supports up to 4 rarity systems per collection. 2 (HowRare and MoonRank methodology) are calculated automatically and are available for every collection, and 2 (Trait Normalized and Team Vision) rely on HowRare's API and are only enabled for some collections.
We receive plenty of questions about why the rank for item X on Tensor doesn't match the rank for item X somewhere else. Our 2 main methodologies are designed to mirror HowRare/MoonRank as closely as possible, but HR/MR also apply manual adjustments, which we don't. This means there are bound to be differences for some collections. You can always check HR/MR directly to be double-sure.
Overall, realize that rarity is more art than science and that there is no "correct" rarity - just different systems. On Tensor we tried picking ones that we personally think are most mathematically sound - but you can always consult with any external system you believe to be better.