sharp
Represents a musical sharp notation, indicating a pitch raised by one semitone.
Overview
Essential in mathematical music theory and musical notation within academic documents and sheet music transcription.
- Commonly used in music theory papers and academic discussions about musical scales and harmony.
- Appears in mathematical representations of musical concepts, particularly in set theory approaches to music analysis.
- Often paired with flat symbols in discussions of key signatures and accidentals.
- Also occasionally used in certain mathematical contexts outside of music, such as in group theory notation.
Examples
Denoting a raised musical note in a mathematical context.
f^{\sharp} = 739.99\text{ Hz}Indicating the cardinality of an infinite set in set theory.
\aleph^{\sharp}Representing the sharp operator in functional analysis.
A^{\sharp}: X^* \to Y^*