\sharp - LaTeX Symbol

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♯

\sharp

The \sharp symbol is used to denote a sharp in music notation, indicating that a note should be raised by a semitone. It is also used in mathematics to denote certain operations or properties, such as the sharp operator in category theory or the musical isomorphism in algebra.

Examples

C ♯ major scale

In music, C sharp major scale notation

C\sharp \text{ major scale}

f^{♯} : A \to B

In category theory, the sharp operator applied to a morphism f

f^{\sharp} : A \to B

H^{♯} (X)

In algebraic topology, the sharp notation for a homology group

H^{\sharp}(X)