For the Diverging maps, we want to have monotonically increasing :math:`L^*` values up to a maximum, which should be close to :math:`L^*=100`, followed by monotonically decreasing :math:`L^*` values. We are looking for approximately equal minimum :math:`L^*` values at opposite ends of the colormap. Additionally, we might prefer a diverging colormap which has a rounded instead of pointed peak for retaining some spread of values around the critical point. By these measures, BrBG and RdBu are good options. coolwarm is a good option, but it doesn't span a wide range of :math:`L^*` values (see grayscale section).
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