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A mineral interest owner also possesses the right to receive lease bonuses, delay rental payments, shut-in payments and royalties . A “ royalty interest ,” on the other hand, is the property interest created that entitles the owner to receive a share of the production. (from lexicology . com)
The mineral interest may or may not be productive. A royalty interest comes out of a mineral interest.
Several short but good definitions can be found by using a search engine and typing in “types of mineral interests and royalty interests”. Several sites will come up.