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You can use parasites. This is a notebook I had on my machine. I has three plots with three different y axex.

from mpl_toolkits.axes_grid1 import host_subplot
import mpl_toolkits.axisartist as AA
import matplotlib.pyplot as plt

host = host_subplot(111, axes_class=AA.Axes)
plt.subplots_adjust(right=0.75)

par1 = host.twinx()
par2 = host.twinx()

offset = 60
new_fixed_axis = par2.get_grid_helper().new_fixed_axis
par2.axis["right"] = new_fixed_axis(loc="right",
                                        axes=par2,
                                        offset=(offset, 0))

par2.axis["right"].toggle(all=True)



host.set_xlim(0, 2)
host.set_ylim(0, 4)

host.set_xlabel("Distance")
host.set_ylabel("Density")
par1.set_ylabel("Temperature")
par2.set_ylabel("Velocity")

p1, = host.plot([0, 1, 2], [0, 1, 4], label="Density")
p2, = par1.plot([2, 4, 7], label="Temperature")
p3, = par2.plot([5, 8, 9], label="Velocity")

par1.set_ylim(0, 40)
par2.set_ylim(1, 65)

host.axis["left"].label.set_color(p1.get_color())
par1.axis["right"].label.set_color(p2.get_color())
par2.axis["right"].label.set_color(p3.get_color())

plt.draw()
plt.savefig('test.png')

You can use parasites. This is a notebook I had on my machine. I has three plots with three different y axex.axes.

from mpl_toolkits.axes_grid1 import host_subplot
import mpl_toolkits.axisartist as AA
import matplotlib.pyplot as plt

host = host_subplot(111, axes_class=AA.Axes)
plt.subplots_adjust(right=0.75)

par1 = host.twinx()
par2 = host.twinx()

offset = 60
new_fixed_axis = par2.get_grid_helper().new_fixed_axis
par2.axis["right"] = new_fixed_axis(loc="right",
                                        axes=par2,
                                        offset=(offset, 0))

par2.axis["right"].toggle(all=True)



host.set_xlim(0, 2)
host.set_ylim(0, 4)

host.set_xlabel("Distance")
host.set_ylabel("Density")
par1.set_ylabel("Temperature")
par2.set_ylabel("Velocity")

p1, = host.plot([0, 1, 2], [0, 1, 4], label="Density")
p2, = par1.plot([2, 4, 7], label="Temperature")
p3, = par2.plot([5, 8, 9], label="Velocity")

par1.set_ylim(0, 40)
par2.set_ylim(1, 65)

host.axis["left"].label.set_color(p1.get_color())
par1.axis["right"].label.set_color(p2.get_color())
par2.axis["right"].label.set_color(p3.get_color())

plt.draw()
plt.savefig('test.png')