A string on an instrument plays an A (440 Hz) when plucked. If you put your finger down one third of the way along the string, and then pluck the longer side, you are mostly likely to hear

BLUE: 3*440Hz

YELLOW: (1/3)*440 Hz

GREEN: 3/2 * 440 Hz

PURPLE: 2/3 * 440 Hz

PINK: Something entirely different