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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
 

5. MAJOR SCALES

In Chapter 1, we saw that the C Major scale is composed by the following succession of notes and intervals:

C Major scale

The first note in the scale is called Tonic (in this example, C) and it is normally repeated at the end of the scale. The numbers representing the order of each note in the scale are called scale degrees and are written in Roman numerals:

C Major scale, along with its degrees

The names of the scale degrees are the following:

Degree

 Degree Name

 I

        Tonic

 II

        Supertonic

 III

        Mediant

 IV

        Subdominant

 V

        Dominant

 VI

        Superdominant

 VII

        Leading tone

 VIII

        Octave or Tonic

If we want to build a Major scale beginning, for example, with note A, that is, the A Major scale, we only have to keep to the same succession of whole and half steps seen for the C Major scale, that is, W W H W W W H:

A Major scale

Therefore, we can define a Major Scale as a set of 7 notes characterized by the whole and half step succession W W H W W W H. Another equivalent way to build the Major scale consists in finding the notes forming Major or Perfect 2nd to 8th intervals with the tonic.

In the A Major scale, we can observe that there are 3 sharp notes (C, F and G), which is necessary to keep to the whole and half step succession. The number of sharps or flats in a Major scale is known as the Key Signature. So, it is said that the A Major key signature has 3 sharps.

The order in which the sharps appear in Major scales is always the same: F, C, G, D, A, E, B (that is, by P 5th intervals). This means that, in a Major scale having 3 sharps, they will correspond to the notes F, C and G, as seen in the A Major scale. In the same way, if a scale only has 2 sharps, they will correspond to the notes F and C, as occurs in the D Major scale:

D Major scale

On the other hand, the flats appear in the reverse order with respect to the sharps, that is, in the order: B, E, A, D, G, C, F (that is, by P 4th intervals). So, in a scale having 2 flats, they will correspond to the notes B and E, which occurs in the B Major scale:

B Major scale

Building the Major scales, determining the key signature of each of them or knowing the order in which the tonics appear when augmenting or diminishing the number of sharps or flats, are complex questions that require much time of study. For this reason, the Harmonic Wheel is provided with a very easy system to solve all these questions directly and in a very educational way. To do this, we only have to rotate the two discs forming this instrument, as we will see in the next chapter.

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