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The order of the sharps beginning with F rise in perfect 5ths.
F.....5th.....C.....5th.....G.....5th.....D.....5th.....A.....5th.....E.....5th.....B
An easy way to remember this is the sentence :
Father Christmas Gave Dad An Electric Blanket
To find the key signature of a major key remember that the last sharp will be the leading note
Example
To find the key signature of A Major, go down 1 semitone from A to the leading note G sharp, and the key signature will be F sharp, C sharp and G sharp.
To find the relative minor simple go down three semitones from the Major Key
eg. G Major will be e minor

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