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HARMONIC WHEEL: UTILITIES

LEVEL 1: FOUNDATIONS OF MUSIC THEORY

1. Musical notes
2. Intervals
3. Inversion of intervals
4. Intervals and the harmonic wheel
5. Major scales
6. Major scales and the harmonic wheel
7. Minor scales
8. Map of the keys

LEVEL 2: FOUNDATIONS OF HARMONY

9. Major and minor chords
10. Augmented and diminished chords
11. Four note chords
12. Chords and scales
13. Chord finder and the major-minor system
14. Pentatonic scales. Properties
15. Diminished scales and their associated chords
16. Hexatonic scales and their associated chords

DOCUMENTS TO DOWNLOAD

APPLICATIONS OF THE HARMONIC WHEEL

Example of a Composition
Modulation: Pivot Chords
Béla Bartók's Axis System
Coltrane Changes

APPLICATIONS OF IMPROCHART

IMPROCHART: User Guide
Examples on Improvisation

SUMMARIES

Poster Harmonic Wheel and IMPROCHART
Pamphlet Harmonic Wheel and IMPROCHART

OTHER SECTIONS

Publications
Contact
 

11. FOUR NOTE CHORDS

Up to now, we have explained the construction and graphic representation of Major, minor, Augmented and diminished chords (in this last case, with 3 and 4 notes). These chords include all possible chords built by superimposing two Major o minor 3rd intervals. And, as we have seen, all of them have a very simple geometric shape on the Harmonic Wheel.

The superimposition of three Major o minor 3rd intervals, gives 8 possibilities. However, the case of three Major 3rds results in an Augmented chord, which has only 3 different notes and has been studied in the last chapter. The other 7 possibilities actually correspond to 4 note chords, but the case of three minor 3rds results in a diminished chord, which has been studied in the last chapter, too. So, we shall go on with the construction and graphic representation of the remaining 6 types of chords. They have been grouped by couples in order to show the existing symmetries. In all cases, the Root of every chord has been marked with  and the rest of the notes with .

Now, besides of the 3rd and 5th intervals, a 7th will appear between the first and the last note in each chord. Relating to the symbols used to represent the chords, the most simple as well as universally accepted ones have been chosen. Particularly, the symbol “7” is used to indicate the minor 7th and the symbol “” for the Major 7th. From now on, we shall not repeat that the enharmonic notes not following the series of 3rd intervals must be discarded, as it has already been mentioned several times.

A Major 7th Chord is a 4 note chord, built by superimposing a M 3rd, a m 3rd and a M 3rd intervals (in this sequence). Thus, for example, the C Major 7th chord is composed by notes C, E, G, B. This chord is represented by “C”.

A minor 7th Chord is a 4 note chord, built by superimposing a m 3rd, a M 3rd and a m 3rd intervals (in this sequence). Thus, for example, the A minor 7th chord is composed by notes A, C, E, G. This chord is represented by “Am7”.

Figure 15. Graphic representation of C and Am7 chords on the Harmonic Wheel.

A Dominant 7th Chord is a 4 note chord, built by superimposing a M 3rd, a m 3rd and a m 3rd intervals (in this sequence). Thus, for example, the G Dominant 7th chord is composed by notes G, B, D, F. This chord is represented by “G7”. It is worthwhile to point out that, in this chord, a d 5th (tritone) is formed between the 3rd and the 7th of the chord (in the example, between B and F).

A half-diminished Chord is a 4 note chord, built by superimposing two m 3rd and one M 3rd intervals (in this sequence). Thus, for example, the B half-diminished chord is composed by notes B, D, F, A. This chord is represented by “B”. It is worthwhile to point out that, in this chord, a d 5th (tritone) is formed between the root and the 5th of the chord (in the example, between B and F).


Figure 16. Graphic representation of G7 and B chords on the Harmonic Wheel.

An Augmented, Major 7th Chord is a 4 note chord, built by superimposing two M 3rd and one m 3rd intervals (in this sequence). Thus, for example, the C Augmented, Major 7th chord is composed by notes C, E, G, B. This chord is represented by “C+”.

A minor, Major 7th Chord is a 4 note chord, built by superimposing one m 3rd and two M 3rd intervals (in this sequence). Thus, for example, the A minor, Major 7th chord is composed by notes A, C, E, G. This chord is represented by “Am”.

Figure 17. Graphic representation of C+ and Am chords on the Harmonic Wheel.

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