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Right now some color norms have accompanying scales, which allows their colorbars to have first-class scales. But some do not...
LogNorm:logPowerNorm: no scaleTwoSlopeNorm: no scaleBoundaryNorm: shouldn't have a scale
Instead of inferring the first-class scale, I'd suggest we add a new property: norm._scale so that colorbar does not have to guess the scale. This should be a string so that it will only call registered scales, and it should be None when no scale is defined.
If its None, then colorbar will use the old default way of setting the scale. Otherwise it will set the scale using ax.set_yscale(norm._scale).
We probably don't want the user to set this - if they want to change the colorbar scale, they can simply use the normal ax.set_yscale directly.