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HARMONIC WHEEL

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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
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16. HEXATONIC SCALES AND THEIR ASSOCIATED CHORDS

The Hexatonic scales are those having 6 notes. Next, the two most important types of hexatonic scales are described.

A Whole Tone scale is composed by 6 notes in intervals of one whole step. Thus, for example, if we begin with note C, the following Whole Tone scale is obtained:

C Whole Tone scale

Due to the existing symmetry in this scale, any of its notes can be considered the tonic. Its representation on the Harmonic Wheel is very simple, for it corresponds to 2 non-consecutive spiral lines (Fig. 23). It is easy to prove that there are only 2 different Whole Tone scales.

A Whole Tone scale has no consonant chords, but it contains every Augmented chord formed by considering any note of the scale as the root. Moreover, it contains every Dominant 7th chord with Augmented or diminished 5th, that is, the 7(5) and 7(5) chords, which are formed by considering any note of the scale as the root. For example, if we consider C as the root, the C7(5) and C7(5) chords are obtained.

Figure 23. Whole Tone scale representation.

An Augmented scale is composed by 6 notes in alternating intervals of 1.5W and H. Thus, for example, if we begin with note C, the following Augmented scale is obtained:

C Augmented scale

Due to the existing symmetry in this scale, 3 from its 6 notes can be considered the tonic: C, E and A. Its representation on the Harmonic Wheel is very simple, for it corresponds to 2 consecutive spiral lines (Fig. 24). It is easy to prove that there are only 4 different Augmented scales.

An Augmented scale contains 6 consonant chords, 3 Major and 3 minor, whose roots are the 3 possible tonics of this scale. Furthermore, it contains every Augmented chord formed by considering any note of the scale as the root.

Figure 24. Augmented scale representation.

Hexatonic scales, but mainly the Whole Tone scale, are widely used in modern music and jazz. And, particularly, in improvisation techniques.

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