Getting individual colors from a color map in matplotlib

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If you have a Colormap cmap, for example:

cmap = matplotlib.cm.get_cmap("Spectral")

How can you get a particular colour out of it between 0 and 1, where 0 is the first colour in the map and 1 is the last colour in the map?

Ideally, I would be able to get the middle colour in the map by doing:

>>> do_some_magic(cmap, 0.5) # Return an RGBA tuple
(0.1, 0.2, 0.3, 1.0)

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