Enharmonic equivalents are notes that have different names but are the same pitch (sound). If we look at the keyboard below, the black note between G and A is called G# and Ab. The black note between A and B is called A# and Bb. The black note between F and G is called F# and Gb and so on. When there is no black note in the middle, the C is also called a B# and the B is also called a Cb. The F is also called an E# and the E is also called an Fb.
The same applies to double sharp (x) and double flat (bb). C double sharp (x) is the same as D, G double flat (bb) is the same as F and so on.
Photo credit: ms.akr via Foter.com / CC BY
Baxter, Harry and Michael Baxter. The Right Way To Read Music. Tadworth: Right Way, 1993. Print, p.31.
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