The Citroen has an automated manual gearbox, which means it is a manual gearbox with an automated shift mechanism, and what you're feeling is exactly what you describe, a smooth, slow manual change. It sounds normal.
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The Citroen C4 2013 prices range from $2,640 for the basic trim level Hatchback Attraction to $7,370 for the top of the range Hatchback Exclusive Turbo.