The signs "but" and "different" are basically the same sign. The sign "but" generally uses a "smaller" movement, however, it may be done quite large depending on how excited the signer is.
BUT:


BUT or DIFFERENT:




The sign for "but" is (in general) the same as the sign for
"different." However, I suggest that the sign for
"different" uses a larger motion (in general) than the sign for
"but."
but or
"DIFFERENT"


Very different:


Animations:
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