What does cmap mean in Matplotlib?
What is the difference between cmap and norm?
Which Matplotlib colormap should I use?
You can do this with the code below, and the code in your question was actually very close to what you needed, all you have to do is call the cmap object you have.
import matplotlib
cmap = matplotlib.cm.get_cmap('Spectral')
rgba = cmap(0.5)
print(rgba) # (0.99807766255210428, 0.99923106502084169, 0.74602077638401709, 1.0)
For values outside of the range [0.0, 1.0] it will return the under and over colour (respectively). This, by default, is the minimum and maximum colour within the range (so 0.0 and 1.0). This default can be changed with cmap.set_under() and cmap.set_over().
For "special" numbers such as np.nan and np.inf the default is to use the 0.0 value, this can be changed using cmap.set_bad() similarly to under and over as above.
Finally it may be necessary for you to normalize your data such that it conforms to the range [0.0, 1.0]. This can be done using matplotlib.colors.Normalize simply as shown in the small example below where the arguments vmin and vmax describe what numbers should be mapped to 0.0 and 1.0 respectively.
import matplotlib
norm = matplotlib.colors.Normalize(vmin=10.0, vmax=20.0)
print(norm(15.0)) # 0.5
A logarithmic normaliser (matplotlib.colors.LogNorm) is also available for data ranges with a large range of values.
(Thanks to both Joe Kington and tcaswell for suggestions on how to improve the answer.)
In order to get rgba integer value instead of float value, we can do
rgba = cmap(0.5,bytes=True)
So to simplify the code based on answer from Ffisegydd, the code would be like this:
#import colormap
from matplotlib import cm
#normalize item number values to colormap
norm = matplotlib.colors.Normalize(vmin=0, vmax=1000)
#colormap possible values = viridis, jet, spectral
rgba_color = cm.jet(norm(400),bytes=True)
#400 is one of value between 0 and 1000
Since the methods used in other answers seems quite complicated for such easy task, here is a new answer:
Instead of a ListedColormap, which produces a discrete colormap, you may use a LinearSegmentedColormap. This can easily be created from a list using the from_list method.
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors
x,y,c = zip(*np.random.rand(30,3)*4-2)
norm=plt.Normalize(-2,2)
cmap = matplotlib.colors.LinearSegmentedColormap.from_list("", ["red","violet","blue"])
plt.scatter(x,y,c=c, cmap=cmap, norm=norm)
plt.colorbar()
plt.show()

More generally, if you have a list of values (e.g. [-2., -1, 2]) and corresponding colors, (e.g. ["red","violet","blue"]), such that the nth value should correspond to the nth color, you can normalize the values and supply them as tuples to the from_list method.
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors
x,y,c = zip(*np.random.rand(30,3)*4-2)
cvals = [-2., -1, 2]
colors = ["red","violet","blue"]
norm=plt.Normalize(min(cvals),max(cvals))
tuples = list(zip(map(norm,cvals), colors))
cmap = matplotlib.colors.LinearSegmentedColormap.from_list("", tuples)
plt.scatter(x,y,c=c, cmap=cmap, norm=norm)
plt.colorbar()
plt.show()

There is an illustrative example of how to create custom colormaps here.
The docstring is essential for understanding the meaning of
cdict. Once you get that under your belt, you might use a cdict like this:
cdict = {'red': ((0.0, 1.0, 1.0),
(0.1, 1.0, 1.0), # red
(0.4, 1.0, 1.0), # violet
(1.0, 0.0, 0.0)), # blue
'green': ((0.0, 0.0, 0.0),
(1.0, 0.0, 0.0)),
'blue': ((0.0, 0.0, 0.0),
(0.1, 0.0, 0.0), # red
(0.4, 1.0, 1.0), # violet
(1.0, 1.0, 0.0)) # blue
}
Although the cdict format gives you a lot of flexibility, I find for simple
gradients its format is rather unintuitive. Here is a utility function to help
generate simple LinearSegmentedColormaps:
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors as mcolors
def make_colormap(seq):
"""Return a LinearSegmentedColormap
seq: a sequence of floats and RGB-tuples. The floats should be increasing
and in the interval (0,1).
"""
seq = [(None,) * 3, 0.0] + list(seq) + [1.0, (None,) * 3]
cdict = {'red': [], 'green': [], 'blue': []}
for i, item in enumerate(seq):
if isinstance(item, float):
r1, g1, b1 = seq[i - 1]
r2, g2, b2 = seq[i + 1]
cdict['red'].append([item, r1, r2])
cdict['green'].append([item, g1, g2])
cdict['blue'].append([item, b1, b2])
return mcolors.LinearSegmentedColormap('CustomMap', cdict)
c = mcolors.ColorConverter().to_rgb
rvb = make_colormap(
[c('red'), c('violet'), 0.33, c('violet'), c('blue'), 0.66, c('blue')])
N = 1000
array_dg = np.random.uniform(0, 10, size=(N, 2))
colors = np.random.uniform(-2, 2, size=(N,))
plt.scatter(array_dg[:, 0], array_dg[:, 1], c=colors, cmap=rvb)
plt.colorbar()
plt.show()

By the way, the for-loop
for i in range(0, len(array_dg)):
plt.plot(array_dg[i], markers.next(),alpha=alpha[i], c=colors.next())
plots one point for every call to plt.plot. This will work for a small number of points, but will become extremely slow for many points. plt.plot can only draw in one color, but plt.scatter can assign a different color to each dot. Thus, plt.scatter is the way to go.