so using the table as reference
| | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Major | b | C | F
b | Bb
e | Eb
a | Ab
d | Db
g | Gb
c | Cb
f |
| # | C | G
f | D
c | A
g | E
d | B
a | F#
e | C#
b |
Minor | b | A
| D
b | G
e | C
a | F
d | Bb
g | Eb
c | Ab
f |
| # | A | E
f | B
c | F#
g | C#
d | G#
a | D#
e | A#
b |
this table is a flattening of the circle of 5ths:
b's | New note b'd | Key sig | | | | | | | | Key sig | New Note #'d | #'s |
---|
0 | | | | | | C | | | | | | 0 |
---|
1 | b | Bb | | | F | | G | | | F# | f | 1 |
---|
2 | e | Bb-Eb | | Bb | | | | D | | F#-C# | c | 2 |
---|
3 | a | Bb-Eb-Ab | Eb | | | | | | A | F#-C#-G# | g | 3 |
---|
4 | d | Bb-Eb-Ab-Db | | Ab | | | | E | | F#-C#-G#-D# | d | 4 |
---|
5 | g | Bb-Eb-Ab-Db-Gb | | | Db | | B | | | F#-C#-G#-D#-A# | a | 5 |
---|
6 | c | Bb-Eb-Ab-Db-Gb-Cb | | | | Gb
F# | | | | F#-C#-G#-D#-A#-E# | e | 6 |
---|
7 | f | Bb-Eb-Ab-Db-Gb-Cb-Fb | | | C# | | Cb | | | F#-C#-G#-D#-A#-E#-B# | b | 7 |
---|
b's | | Key sig | | | | | | | | Key sig | | #'s |
---|
as we move through the circle going either right or left the number of flats or sharps increases, with a new different note being sharpened or flattened as we progress. All notes previously sharpened or flattened remain as they were
The relationship of these notes to the scale is simple in either case.
As we move clockwise around the circle the last note before the naming note of the scale is sharpened from its previous state
e.g. moving from Db to Ab major the last note before Ab is G, it was Gb in Db major
Db-Eb-F-Gb-Ab-Bb-C-Db
Ab-Bb-C-Db-Eb-F-G-Ab
e.g. moving from D major to A major the last note is G# it was G in D major
D-E-F#-G-A-B-C#-D
A-B-C#-D-E-F#-G#-A
As we move counter-clockwise around the circle the 4th note in the new scale is flattened from its previous state
e.g. moving from C major to F major the fourth note is now Bb, it was B in C major
C-D-E-F-G-A-B-C
F-G-A-Bb-C-D-E-F
e.g. moving from B major to E major the fourth note is A, it was A# in B major
B-C#-D#-E-F#-G#-A#-B
E-F#-G#-A-B-C#-D#-E
e.g. moving from Eb major to Ab major the fourth note is Db, it was D in Eb major
Eb-F-G-Ab-Bb-C-D-Eb
Ab-B-C-Db-Eb-F-G-Ab
Both versions are complex because they try to summarise a lot of information into as few symbols as possible.
The best way to actually understand this is to learn each scale on a keyboard or other instrument and understand how they change as a result
Second best way is to write each scale just using using note names and b's/#s as needed