Let's solve this step by step.
We are asked to
complete each major scale using the
major scale formula:
T T S T T T S, where:
-
T = Tone (whole step) = 2 semitones
-
S = Semitone (half step) = 1 semitone
This pattern applies to all major scales. We start from the given root note and apply the intervals accordingly.
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🔹 Example: C Major
Given:
C D E F G A B C
T T S T T T S
✔ This is correct — no sharps or flats in C Major.
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Now let’s complete the others.
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🔹 G Major
Start on
G
Pattern: T T S T T T S
1.
G →
T → G to A = whole step →
A
2.
A →
T → A to B = whole step →
B
3.
B →
S → B to C = half step →
C
4.
C →
T → C to D = whole step →
D
5.
D →
T → D to E = whole step →
E
6.
E →
T → E to F# = whole step →
F# (since E to F is a half step, we need a whole step → so F#)
7.
F# →
S → F# to G = half step →
G
So, G Major scale:
G A B C D E F# G
✔️ Final answer:
G A B C D E F# G
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🔹 D Major
Start on
D
Pattern: T T S T T T S
1.
D →
T → D to E = whole step →
E
2.
E →
T → E to F# = whole step →
F# (E to F is half step, so F#)
3.
F# →
S → F# to G = half step →
G
4.
G →
T → G to A = whole step →
A
5.
A →
T → A to B = whole step →
B
6.
B →
T → B to C# = whole step →
C# (B to C is half step, so C#)
7.
C# →
S → C# to D = half step →
D
So, D Major scale:
D E F# G A B C# D
✔️ Final answer:
D E F# G A B C# D
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🔹 F Major
Start on
F
Pattern: T T S T T T S
1.
F →
T → F to G = whole step →
G
2.
G →
T → G to A = whole step →
A
3.
A →
S → A to Bb = half step →
Bb (A to B is whole step, so Bb to make it half step)
4.
Bb →
T → Bb to C = whole step →
C
5.
C →
T → C to D = whole step →
D
6.
D →
T → D to E = whole step →
E
7.
E →
S → E to F = half step →
F
So, F Major scale:
F G A Bb C D E F
✔️ Final answer:
F G A Bb C D E F
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✔ Final Answers:
G Major: G A B C D E F# G
D Major: D E F# G A B C# D
F Major: F G A Bb C D E F
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📝 Summary of Notes Used:
| Scale | Notes |
|-----------|----------------------------------------|
| G Major | G, A, B, C, D, E, F#, G |
| D Major | D, E, F#, G, A, B, C#, D |
| F Major | F, G, A, Bb, C, D, E, F |
These follow the
T T S T T T S pattern perfectly.
Let me know if you'd like this explained with musical notation or keyboard layout!
Parent Tip: Review the logic above to help your child master the concept of major scales worksheet.