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Difference between revisions of "Ref: Circle of Fifths"

m (→‎Harmonic Minor to Minor)
m (→‎Harmony between Keys)
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{| class = "wikitable"
 
{| class = "wikitable"
 
|-  
 
|-  
−
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys  
+
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys !! Example
 
|-  
 
|-  
 
!6  
 
!6  
−
| P4, P5 ||
+
| P4, P5 || || C -> G
 
|-  
 
|-  
 
!5  
 
!5  
−
| M2 || D7
+
| M2 || D7 || C -> D
 
|-  
 
|-  
 
!4  
 
!4  
−
| M6 || m3
+
| M6 || m3 || C -> A
 
|-
 
|-
 
!3  
 
!3  
−
| M3 || m6
+
| M3 || m6 || C -> E
 
|-
 
|-
 
!2  
 
!2  
−
| M7 || m2, d5
+
| M7 || m2, d5 || C -> B
 
|}
 
|}
  
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{| class = "wikitable"
 
{| class = "wikitable"
 
|-  
 
|-  
−
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys  
+
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys !! Example
 
|-  
 
|-  
 
!6  
 
!6  
−
| P4, P5 ||
+
| P4, P5 || || Am -> Em
 
|-  
 
|-  
 
!5  
 
!5  
−
| M2, D7 ||  
+
| M2, D7 || || Am -> Bm
 
|-  
 
|-  
 
!4  
 
!4  
−
| m3 || M6
+
| m3 || M6 || Am -> Cm
 
|-
 
|-
 
!3  
 
!3  
−
| m6 || M3
+
| m6 || M3 || Am -> Fm
 
|-
 
|-
 
!2  
 
!2  
−
| || m2, d5, M7
+
| || m2, d5, M7 || Am -> Ebm
 
|}
 
|}
  
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{| class = "wikitable"
 
{| class = "wikitable"
 
|-  
 
|-  
−
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys  
+
!Common Notes !! Diatonic Keys !! Non-Diatonic Keys !! Example
 
|-  
 
|-  
−
|4 || m3, P4, P5, m6 || M3, d5, M6
+
|4 || m3, P4, P5, m6 || M3, d5, M6 || Ahm -> Chm
 
|-  
 
|-  
−
|3 || M2, M7 || m2, m7
+
|3 || M2, M7 || m2, m7 || Ahm -> Bhm
 
|}
 
|}
  

Revision as of 12:02, 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 Example
6 P4, P5 C -> G
5 M2 D7 C -> D
4 M6 m3 C -> A
3 M3 m6 C -> E
2 M7 m2, d5 C -> B

Minor to Minor

Common Notes Diatonic Keys Non-Diatonic Keys Example
6 P4, P5 Am -> Em
5 M2, D7 Am -> Bm
4 m3 M6 Am -> Cm
3 m6 M3 Am -> Fm
2 m2, d5, M7 Am -> Ebm

Harmonic Minor to Harmonic Minor

Common Notes Diatonic Keys Non-Diatonic Keys Example
4 m3, P4, P5, m6 M3, d5, M6 Ahm -> Chm
3 M2, M7 m2, m7 Ahm -> Bhm

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
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