I have multiple curves that differ in one parameter and which I want to plot in one figure. To distinguish them, I want to use one of matplotlib's colorbars. To do so I produce a list of colors depending on said parameter. Additionally, I want to add a colorbar to explain the colors that are used. I can easily do all of that. The problem is now, that I want to use only a part of the available colormap, as it gets too bright and thus barely visible above some threshold. But when I now choose the colors only in a subrange, I did not find a way to adjust the range of the displayed colorbar.

Here is a (nearly) minimal example of what I want to achieve:

```
import numpy as np
import matplotlib as mpl
import matplotlib.pyplot as plt
import matplotlib.gridspec as gridspec
gs = gridspec.GridSpec(2, 1,
height_ratios=[1, 4]
)
ax = [plt.subplot(g) for g in gs]
parameterToColorBy = np.linspace(5, 10, 6, dtype=float)
maxColor = 0.85
colors = [plt.get_cmap("inferno")(i)
for i in np.linspace(0, maxColor, parameterToColorBy.shape[0])]
norm = mpl.colors.Normalize(parameterToColorBy[0],
parameterToColorBy[0]+
(parameterToColorBy[-1]-parameterToColorBy[0])/
maxColor)
cb = mpl.colorbar.ColorbarBase(ax[0],
cmap="inferno",
norm=norm,
ticks=parameterToColorBy,
orientation='horizontal')
ax[0].xaxis.set_ticks_position('top')
for p, c in zip(parameterToColorBy, colors):
ax[1].plot(np.arange(2)/p, c=c)
plt.show()
```

The result looks at follows:

I now want the colorbar to stop at 10. But if I just adjust the `xlim`

of the subplot by adding the line `ax[0].set_xlim(0, maxColor)`

, the colored part is adjusted correctly, but the surrounding box is messed up:

Alternatively, I found a function for colorbars `set_clim`

. But this only changes the normalization and does not seem to work as I want. Adding `cb.set_clim(parameterToColorBy[0], parameterToColorBy[-1])`

results in an changed colors but unchanged axis:

What I seem to need is either an appropriate way to adjust the limits of the displayed colorbar, or a way to create an own colorbar as a subset of an available colorbar. Is there any way to achieve one of these things?