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6.6.9 Key of G? Motion from C Major
When you leave the chord C major and move to the chord G major, your brain at first tries to accept the G major chord as assuming the role of the tonic chord—which would be establishing the key of G.
But it doesn’t work out. Your brain feels no sense of purposeful, forward motion.
When you leave the C major chord and move to the G major chord, your brain senses that:
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The scale relationship of the note E in the C major chord (the chord being left behind) with respect to the root note G in the new chord, G major, is 6 – 1.
This does not in any way reinforce G as a potential new tonal centre, the key of G.
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Similarly, the scale relationship of the note C in the C major chord (the chord being left behind) with respect to the root note G in the new chord, G major, is 4 – 1.
With this interval move, your brain senses no reinforcement of G as a potential new tonal centre, or key of G.