Consider 4 buttons to type a character set of 4 characters: high, low, ascending, descending. Easiest of course is each button corresponds to a different character. With each thumb operating two buttons, the user could press pairs of buttons, chords, corresponding to the shape of the character: the two upper buttons means HIGH, up on the left side and down on the right means DESCENDING, etc. Similarly on a touchscreen, swipes. Swipe direction does not matter. If it did matter, then it could be done with only two buttons.
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