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Why do we sometimes call it an A# and other times call it a Bb?
In order to keep the flow of alphabetical note names, we will chose either the flat (b) or the sharp (#) of the next note in the sequence. For example: In the key of F, the notes in the scale are:
F G A Bb C D E F
Correct notation demands that we use the note name Bb instead of A # so that the note name B will follow instead of having two A's (A and then A # ) in a row. This is called an enharmonic note. A great tool to learn which keys have sharps and flat's is called the circle of 4th/5ths. Which leads us to:
What is this mysterious thing called the circle of 4th/5ths?

Reading around the circle starting from the C going to the right, we are moving up an interval called a 5th. Going around the circle to the left, we are moving up an interval called a 4th. For example:
In the key of C:
C D E F G A B C
I ii iii IV V vi vii I
We see that G is the 5th note (Roman numeral V) of the C scale, an interval of a 5th.
We see also that F is the 4th note (Roman numeral IV) of the scale, an interval of a 4th.
The circle of 4ths/5ths helps memorize sharps and flats in any given key.
C- 0 sharps or flats
G- 1 sharp, F#
D- 2 sharps, F# and C#
A- 3 sharps, F#, C# and G#
E- 4 sharps, F#, C#, G# and D#
Go back to the circle and look at this information, you will see a pattern!
Likewise for flats:
C- 0 sharps or flats
F- 1 flat, Bb
Bb- 2 flats, Bb and Eb
Eb- 3 flats, Bb, Eb, Ab
Ab- 4 flats, Bb, Eb, Ab and Db
etc. etc. etc.
Any other questions? Email Michelle at md@michelledumond.com