@1munk
I will make several answers, short and long.
Short [1 of 1]
Just as the notes within a major scale follow TTSTTTS so the chords follow a set pattern of Maj-min-min-MAJ-MAJ-min-dim
That happens through a process called harmonising the major scale - stacking notes in thirds until a triad is formed.
Long [1 of 2]
Harmonising the D Major Scale
We will work through the entire process of harmonising the D Major scale to create all seven chords within the key of D Major.
1] D Major chord = D - F# - A
The interval from Root to 3 is four semitones - this is a Major third so the chord is D Major.
2] E minor chord = E - G - B
The interval from Root to 3 is three semitones - this is a minor third so the chord is E minor.
3] F# minor chord = F# - A - C#
The interval from Root to 3 is three semitones - this is a minor third so the chord is F# minor.
4] G Major chord = G - B - D
The interval from Root to 3 is four semitones - this is a Major third so the chord is G Major.
5] A Major chord = A - C# - E
The interval from Root to 3 is four semitones - this is a Major third so the chord is A Major.
6] B minor chord = B - D - F#
The interval from Root to 3 is three semitones - this is a minor third so the chord is B minor.
7] C# diminished chord = C# - E - G (the awkward diminished chord)
The interval from Root to 3 is three semitones, this is a minor third BUT this is a C# diminished chord, not C# minor. This is due to the distance between its Root and 5 also being a minor third. The six Major and minor chords have an interval of a ‘perfect fifth’ (seven semitones) between their Root and 5. This diminished chord is unique in having a ‘diminished fifth’ interval (six semitones) between them.
Long [2 of 2]
Consider G major - using the major scale formula:
Tone Tone Semitone Tone Tone Tone Semitone or
Whole Whole Half Whole Whole Whole Half
We get these seven notes:
G A B C D E F#
String several octaves together and you have:
G A B C D E F# G A B C D E F# G A B C D E F# G …
The chords in the key, derived from the scale (called the diatonic chords) are found using a process called ‘harmonising the major scale’. These chords will all be triads (three note chords).
- Take each of the seven notes in turn.
- Each note is the root of a chord.
- Each chord contains three notes.
- One is the root note.
- The other two notes are found at intervals of a third from the root.
- This means count 1, miss 1, count 1, miss 1, count 1.
- Giving the famous 1, 3, 5 chord formula.
- To count this, the root note counts as 1.
Chord I
Root note = G
G A B C D E F# G A B C D E F# G …
Counting:
1, 3, 5 = G, B, D
Chord = G Major
Chord ii
Root note = A
A major scale = A, B, C#, D, E, F#, G#
Counting:
1, 3, 5 = A, C#, E
BUT
C# is not a note in the G major scale (the scale we are harmonising). The only note with a ‘C’ in its name in the G major scale is C natural. And we need to use only the notes in the G major scale when harmonising the G major scale. Therefore, this third note from our counting must be ‘flattened’ to match the notes found in the G major scale.
So, instead of
1, 3, 5 = A, C#, E
G major scale has
1, b3, 5 = A, C, E
Chord = A minor (a flat 3rd note makes a minor chord)
Chord iii
Root note = B
B major scale = B, C#, D#, E, F#, G#, A#
Counting:
1, 3, 5 = B, D#, F#
BUT
D# is not a note in the G major scale (the scale we are harmonising). The only note with a ‘D’ in its name in the G major scale is D natural. And we need to use only the notes in the G major scale when harmonising the G major scale. Therefore, this third note from our counting must be ‘flattened’ to match the notes found in the G major scale.
So, instead of
1, 3, 5 = B, D#, F#
G major scale has
1, b3, 5 = B, D, F#
Chord = B minor (a flat 3rd note makes a minor chord)
Chord IV
Root note = C
C major scale = C, D, E, F, G, A, B
Counting:
1, 3, 5 = C, E, G
Chord = C Major
Chord V
Root note = D
D major scale = D, E, F#, G, A, B, C#
Counting:
1, 3, 4, = D, F#, A
Chord = D Major
Chord vi
Root note = E
E major scale = E, F#, G#, A, B, C#, D#
Counting:
1, 3, 5 = E, G#, B
BUT
G is not a note in the G major scale (the scale we are harmonising). The only note with a ‘G’ in its name in the G major scale is G natural. And we need to use only the notes in the G major scale when harmonising the G major scale. Therefore, this third note from our counting must be ‘flattened’ to match the notes found in the G major scale.
So, instead of
1, 3, 5 = E, G#, B
G major scale has
1, b3, 5 = E, G, B
Chord = E minor (a flat 3rd note makes a minor chord)
Chord vii
Root note = F#
F# major scale = F#, G#, A#, B, C#, D#, E#
Counting:
1, 3, 5 = F#, A#, C#
BUT
Neither A# nor C# are notes in the G major scale (the scale we are harmonising). The only notes with ‘A’ or ‘C’ in their names in the G major scale are A natural and C natural. And we need to use only the notes in the G major scale when harmonising the G major scale. Therefore, this third note and the fifth note from our counting must be ‘flattened’ to match the notes found in the G major scale.
So, instead of
1, 3, 5 = F#, A#, C#
G major scale has
1, b3, b5 = F#, A, C
Chord = F# diminished (a flat 3rd note and a flat 5th note makes a diminished chord)
