Matplotlib Plot Lines with Colors Through Colormap

Question

I am plotting multiple lines on a single plot and I want them to run through the spectrum of a colormap, not just the same 6 or 7 colors. The code is akin to this:

Answer 1

An anternative to Bart's answer, in which you do not specify the color in each call to plt.plot is to define a new color cycle with set_prop_cycle. His example can be translated into the following code (I've also changed the import of matplotlib to the recommended style):

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(0, 2*np.pi, 64)
y = np.cos(x) 

n = 20
ax = plt.axes()
ax.set_prop_cycle('color',[plt.cm.jet(i) for i in np.linspace(0, 1, n)])

for i in range(n):
    plt.plot(x, i*y)