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Revision as of 11:59, 28 April 2014
Tables of fifths w/ scales
Major - Cb to C#
| Key |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C#
|
| Flats/Sharps |
7 b's |
6 b's |
5 b's |
4 b's |
3 b's |
2 b's |
1 b's |
0 b/#'s |
1 #'s |
2 #'s |
3 #'s |
4 #'s |
5 #'s |
6 #'s |
7 #'s
|
| Unison |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C#
|
| 2nd |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D#
|
| 3rd |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E#
|
| 4th |
Fb |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F#
|
| 5th |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G#
|
| 6th |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
| 7th |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E# |
B#
|
| Oct |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C#
|
Notice the 4ths and 7ths - this is where the notes flatten/sharpen when shifting keys up/down a fifth (or down/up a fourth).
Natural Minor - Ab to A#
| Key |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
| Flats/Sharps |
7 b's |
6 b's |
5 b's |
4 b's |
3 b's |
2 b's |
1 b's |
0 b/#'s |
1 #'s |
2 #'s |
3 #'s |
4 #'s |
5 #'s |
6 #'s |
7 #'s
|
| Uni |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
| 2nd |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E# |
B#
|
| 3rd |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C#
|
| 4nd |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D#
|
| 5rd |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E#
|
| 6th |
Fb |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F#
|
| 7th |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G#
|
| Oct |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
Notice the 2nds and 6ths - this is where the notes flatten/sharpen when shifting keys up/down a fifth (or down/up a fourth).
Harmonic Minor - Ab to A#
| Key |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
| Uni |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
| 2nd |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E# |
B#
|
| 3rd |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C#
|
| 4nd |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D#
|
| 5rd |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E#
|
| 6th |
Fb |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F#
|
| 7th |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E# |
B# |
F## |
C## |
G##
|
| Oct |
Ab |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A#
|
Fifths and equivalents
All columns are equivalent pitches. Each cell is a perfect fifth above the cell to its left.
| Ebbbb |
Bbbbb |
Fbbb |
Cbbb |
Gbbb |
Dbbb |
Abbb |
Ebbb |
Bbbb |
Fbb |
Cbb |
Gbb |
Dbb
|
| Dbb |
Abb |
Ebb |
Bbb |
Fb |
Cb |
Gb |
Db |
Ab |
Eb |
Bb |
F |
C
|
| C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D# |
A# |
E# |
B#
|
| B# |
F## |
C## |
G## |
D## |
A## |
E## |
B## |
F### |
C### |
G### |
D### |
A###
|
| A### |
E### |
B### |
F#### |
C#### |
G#### |
D#### |
A#### |
E#### |
B#### |
F##### |
C##### |
G#####
|
Rules and Guidelines
The 1.____ scale a perfect fifth 2.____ the current scale contains the same notes but the 3.___ in the current scale is 4.____ to become the 5.____ of the new scale.
| 1 |
2 |
3 |
4 |
5
|
| major |
above |
P4 |
sharped |
M7
|
| minor |
above |
M6 |
sharped |
M2
|
| major |
below |
M7 |
flattened |
P4
|
| minor |
below |
M2 |
flattened |
m6
|
Equivalent Pitches for Scales Below/Above by Interval
Modulating from any major scale to a new major scale that is ___ interval above/below the original key has ___ same pitches and #/b per note:
| Interval Above Root
|
Uni |
m2 |
M2 |
m3 |
M3 |
P4 |
d5 |
P5 |
m6 |
M6 |
D7 |
M7
|
| Interval Below Root
|
Uni |
M7 |
D7 |
M6 |
m6 |
P5 |
d5 |
P4 |
M3 |
m3 |
M2 |
m2
|
| Example Major Key vs C Major
|
C |
C# |
D |
D# |
E |
F |
F# |
G |
G# |
A |
A# |
B
|
| Number of Common Pitches
|
7 |
2 |
5 |
4 |
3 |
6 |
2 |
6 |
3 |
4 |
5 |
2
|
Which means the most harmonic key changes are:
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys
|
| 6 |
P4, P5 |
|
| 5 |
M2 |
D7
|
| 4 |
M6 |
m3
|
| 3 |
M3 |
m6
|
| 2 |
M7 |
m2, d5
|
* Note: All intervals in above table are above the root note
Harmonic Minor
| Key |
Eb |
Bb |
F |
C |
G |
D |
A |
E |
B |
F# |
C# |
G# |
D#
|
Notes in common w/ Ahm
|
4 |
3 |
4 |
4 |
3 |
4 |
7 |
4 |
3 |
4 |
4 |
3 |
4
|
| Interval Above Root
|
Uni |
m2 |
M2 |
m3 |
M3 |
P4 |
d5 |
P5 |
m6 |
M6 |
D7 |
M7
|
| Interval Below Root
|
Uni |
M7 |
D7 |
M6 |
m6 |
P5 |
d5 |
P4 |
M3 |
m3 |
M2 |
m2
|
| Example Harm Minor Key vs A Harm Minor
|
A |
A# |
B |
C |
C# |
D |
D# |
E |
F |
F# |
G |
G#
|
| Number of Common Pitches
|
7 |
3 |
3 |
4 |
4 |
4 |
4 |
4 |
4 |
4 |
3 |
3
|
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys
|
| 4 |
m3, P4, P5, m6 |
M3, d5, M6
|
| 3 |
M2, M7 |
m2, m7
|
Harmony between Keys
Major to Major
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys
|
| 6
|
P4, P5 |
|
| 5
|
M2 |
D7
|
| 4
|
M6 |
m3
|
| 3
|
M3 |
m6
|
| 2
|
M7 |
m2, d5
|
Minor to Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys
|
| 6
|
P4, P5 |
|
| 5
|
M2, D7 |
|
| 4
|
m3 |
M6
|
| 3
|
m6 |
M3
|
| 2
|
|
m2, d5, M7
|
Harmonic Minor to Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys
|
| 4 |
m3, P4, P5, m6 |
M3, d5, M6
|
| 3 |
M2, M7 |
m2, m7
|
Major to Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 7
|
M6 |
|
C -> Am
|
| 6
|
M2, M3 |
|
C -> Dm
|
| 5
|
P5, M7 |
|
C -> Gm
|
| 4
|
U |
d5 |
C -> Cm
|
| 3
|
P4 |
m2 |
C -> Fm
|
| 2
|
|
m6, m7, m3 |
C -> Abm
|
Minor to Major
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 7
|
m3 |
|
Am -> C
|
| 6
|
m7, m6 |
|
Am -> G
|
| 5
|
P4 |
m2 |
Am -> D
|
| 4
|
U |
d5 |
Am -> A
|
| 3
|
P5 |
M7 |
Am -> E
|
| 2
|
M2 |
M3, M6 |
Am -> B
|
Major to Harmonic Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 6
|
M6 |
|
C -> Ahm
|
| 5
|
M2, M3 |
|
C -> Dhm
|
| 4
|
U, M7 |
d5, m7 |
C -> Chm
|
| 3
|
P4, P5 |
m2, m3, m6 |
C -> Ghm
|
Minor to Harmonic Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 6
|
U |
|
Am -> Ahm
|
| 5
|
P4, P5 |
|
Am -> Dhm
|
| 4
|
m3, M2 |
M6, m2 |
Am -> Chm
|
| 3
|
m6, m7 |
M3, d5, M7 |
Am -> Fhm
|
Harmonic Minor to Major
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 6
|
m3 |
|
Ahm -> C
|
| 5
|
m6 |
m7 |
Ahm -> F
|
| 4
|
U, M2 |
m2, d5 |
Ahm -> A
|
| 3
|
P4, P5, M7 |
M6, M3 |
Ahm -> D
|
Harmonic Minor to Minor
| Common Notes |
Diatonic Keys |
Non-Diatonic Keys |
Example
|
| 6
|
U |
|
Ahm -> Am
|
| 5
|
P4, P5 |
|
Ahm -> Dm
|
| 4
|
m3 |
M6, m7, m2 |
Ahm -> Cm
|
| 3
|
m6, M2 |
M3, d5, m2 |
Ahm -> Fm
|