Most theorists refer to the relation between a sign and its objects, as always including any manner of objective reference, as its denotation.
Some theorists refer to the relation between a sign and the signs that serve in its practical interpretation as its connotation, but there are many more differences of opinion and distinctions of theory that are made in this case. Many theorists, especially in the formal semantic, pragmatic, and semiotic traditions, restrict the application of semantics to the denotative aspect, using other terms or completely ignoring the connotative aspect.
Some theorists refer to the relation between a sign and the signs that serve in its practical interpretation as its connotation, but there are many more differences of opinion and distinctions of theory that are made in this case. Many theorists, especially in the formal semantic, pragmatic, and semiotic traditions, restrict the application of semantics to the denotative aspect, using other terms or completely ignoring the connotative aspect.