The magic number 7

There is one sharp in the diatonic scale of G. There are six flats in the diatonic scale of Gb. The number of sharps in G and flats in Gb adds to 7.

An easy way to remember your diatonic scales is by deduction. For each letter, the number of sharps and flats adds to seven.

#‘s01234567
D’scaleCGDAEBF#C#
D’scaleCbGbDbAbEbBbFC
b‘s76543210

Flat to natural to sharp

In the diatonic scale of G the only note to be sharp is F#. In the diatonic scale of Gb the only note to be natural is F.

G:GABCDEF#G
Gb:GbAbBbCbDbEbFGb

This makes sense. Deduce Gb by lowering the notes in G a semitone. Now raise the notes in G a semitone. Natural notes change to sharp, sharp notes change to double sharp. That is why G# does not exist as a diatonic scale.

G#:G#A#B#C#D#E#FxG#

C, C# and Cb all exist as diatonic scales. C is made of all natural notes. Natural notes can be raised a semitone without resorting to double sharps and lowered a semitone without resorting to double flats.

Patterns in the sharp notes

F# is very common.

Every diatonic scale with a sharp in it has an F# in it.

B# is rare.

C# is the only diatonic scale with B# in it.

D’scale#‘s      
G:F#      
D:F#C#     
A:F#C#G#    
E:F#C#G#D#   
B:F#C#G#D#A#  
F#:F#C#G#D#A#E# 
C#:F#C#G#D#A#E#B#

Sharp notes enter in order through the diatonic scales. The note F# is in every diatonic scale with a sharp note. C# is in every diatonic scale with two or more sharps. G# is in every diatonic scale with three or more sharps. D# is in every diatonic scale with four or more sharps. A# is in every diatonic scale with five or more sharps. E# is in every diatonic scale with six or more sharps. B# is in only one diatonic scale, the diatonic scale of seven sharps.

Patterns in the flat notes

Flat notes also follow a pattern, the direct mirror of the order of entry of sharp notes. Bb is as common as F#. Fb is as rare as B#.

D’Scaleb‘s      
F:      Bb
Bb:     EbBb
Eb:    AbEbBb
Ab:   DbAbEbBb
Db:  GbDbAbEbBb
Gb: CbGbDbAbEbBb
Cb:FbCbGbDbAbEbBb