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Difference between revisions of "Ref: Circle of Fifths"

m (→‎Rules and Guidelines)
m (→‎Equivalent Pitches for Scales Below/A{{f}}ove {{f}}y Interval)
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== Equivalent Pitches for Scales Below/A{{f}}ove {{f}}y Interval ==
 
== Equivalent Pitches for Scales Below/A{{f}}ove {{f}}y Interval ==
−
Modulating from any major scale to a new major scale that is ___ interval a{{f}}ove/{{f}}elow the original key has ___ same pitches and {{s}}/{{f}} per note:
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Modulating from any major scale to a new major scale that is ___ interval above/below the original key has ___ same pitches and {{s}}/{{f}} per note:
 
{| class="wikitable"
 
{| class="wikitable"
 
|-  
 
|-  
−
! Interval A{{f}}ove Root  
+
! Interval Above Root  
 
|  Uni || m2 || M2 || m3 || M3 || P4 || d5 || P5 || m6 || M6 || D7 || M7
 
|  Uni || m2 || M2 || m3 || M3 || P4 || d5 || P5 || m6 || M6 || D7 || M7
 
|-
 
|-
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| C || C{{s}} || D || D{{s}} || E || F || F{{s}} || G || G{{s}} || A || A{{s}} || B  
 
| C || C{{s}} || D || D{{s}} || E || F || F{{s}} || G || G{{s}} || A || A{{s}} || B  
 
|-  
 
|-  
−
!Num{{f}}er of Common Pitches  
+
!Number of Common Pitches  
 
| 7 || 2 || 5 || 4 || 3 || 6 || 2 || 6 || 3 || 4 || 5 || 2
 
| 7 || 2 || 5 || 4 || 3 || 6 || 2 || 6 || 3 || 4 || 5 || 2
 
|}
 
|}
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|2 || M7 || m2, d5
 
|2 || M7 || m2, d5
 
|}
 
|}
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<nowiki>*</nowiki> Note: All intervals in a{{f}}ove ta{{f}}le are ''a{{f}}ove'' the root note
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<nowiki>*</nowiki> Note: All intervals in above table are ''above'' the root note
  
 
=== Harmonic Minor ===
 
=== Harmonic Minor ===
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|  A || A{{s}} || B || C || C{{s}} || D || D{{s}} || E || F || F{{s}} || G || G{{s}}  
 
|  A || A{{s}} || B || C || C{{s}} || D || D{{s}} || E || F || F{{s}} || G || G{{s}}  
 
|-  
 
|-  
−
!Num{{f}}er of Common Pitches  
+
!Number of Common Pitches  
 
| 7 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 4 || 4 || 3 || 3
 
| 7 || 3 || 3 || 4 || 4 || 4 || 4 || 4 || 4 || 4 || 3 || 3
 
|}
 
|}

Revision as of 15:05, 8 June 2014

Tables of fifths w/ scales

Major - C♭ to C♯

Key C♭ G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯
Flats/<♭r>Sharps 7 ♭'s 6 ♭'s 5 ♭'s 4 ♭'s 3 ♭'s 2 ♭'s 1 ♭'s 0 ♭/♯'s 1 ♯'s 2 ♯'s 3 ♯'s 4 ♯'s 5 ♯'s 6 ♯'s 7 ♯'s
Uni C♭ G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯
2nd D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯
3rd E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯
4th F♭ C♭ G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯
5th G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯
6th A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯
7th B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯ B♯
Oct C♭ G♭ D♭ A♭ E♭ B♭ 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 - A♭ to A♯

Key A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯
Flats/<♭r>Sharps 7 ♭'s 6 ♭'s 5 ♭'s 4 ♭'s 3 ♭'s 2 ♭'s 1 ♭'s 0 ♭/♯'s 1 ♯'s 2 ♯'s 3 ♯'s 4 ♯'s 5 ♯'s 6 ♯'s 7 ♯'s
Uni A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯
2nd B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯ B♯
3rd C♭ G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯
4nd D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯
5rd E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯
6th F♭ C♭ G♭ D♭ A♭ E♭ B♭ 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 A♭ E♭ B♭ 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 - A♭ to A♯

Key A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯
Uni A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯
2nd B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯ B♯
3rd C♭ G♭ D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯
4nd D♭ A♭ E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯
5rd E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯ A♯ E♯
6th F♭ C♭ G♭ D♭ A♭ E♭ B♭ 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 A♭ E♭ B♭ 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.

E♭♭♭♭ B♭♭♭♭ F♭♭♭ C♭♭♭ G♭♭♭ D♭♭♭ A♭♭♭ E♭♭♭ B♭♭♭ F♭♭ C♭♭ G♭♭ D♭♭
D♭♭ A♭♭ E♭♭ B♭♭ F♭ C♭ G♭ D♭ A♭ E♭ B♭ 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 ♭ut the 3.___ in the current scale is 4.____ to ♭ecome 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/A♭ove ♭y Interval

Modulating from any major scale to a new major scale that is ___ interval above/below the original key has ___ same pitches and ♯/♭ 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 E♭ B♭ F C G D A E B F♯ C♯ G♯ D♯
Notes in<♭r />common w/ Ahm 4 3 4 4 3 4 7 4 3 4 4 3 4
Interval A♭ove 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 ♭etween Keys

From 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
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 -> A♭m
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

From 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 -> E♭m
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
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

From 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
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
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
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