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A 1212122 scale doesn't add to 12, and so would not work very well. When you play through a scale, low to high, you generally want to end up back where you started but up an octave.

The main other combinations you see are the same 2212221 pattern, but starting on a different note. For example, if you start on the sixth note, this permutes to 2122122 which we call the (natural) minor scale. We call each of these permutations a "mode".




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