I would like to set the matplotlib colorbar range. Here's what I have so far:

import numpy as np
import matplotlib.pyplot as plt
x = np.arange(20)
y = np.arange(20)
data = x[:-1,None]+y[None,:-1]

fig = plt.gcf()
ax = fig.add_subplot(111)

X,Y = np.meshgrid(x,y)
quadmesh = ax.pcolormesh(X,Y,data)
plt.colorbar(quadmesh)

#RuntimeError: You must first define an image, eg with imshow
#plt.clim(vmin=0,vmax=15)  

#AttributeError: 'AxesSubplot' object has no attribute 'clim'
#ax.clim(vmin=0,vmax=15) 

#AttributeError: 'AxesSubplot' object has no attribute 'set_clim'
#ax.set_clim(vmin=0,vmax=15) 

plt.show()

How do I set the colorbar limits here?

Arg. It's always the last thing you try:

quadmesh.set_clim(vmin=0, vmax=15)

works.