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A Circle of Chords—NOT the Circle of Fifths
If a harmonic scale must begin and end with the same chord ...
A harmonic scale must necessarily take the shape of a circle.
That’s the only way a harmonic scale could begin and end with the same chord. So, a harmonic scale is a circle of chords, and it is definitely not the Circle of Fifths, as you will soon see.
Figure 47 shows how the chords of a harmonic scale are arranged in fifth progressions, and in the shape of a circle.
FIGURE 47: The Harmonic Scale: Basic Structure