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cc[z_] := If[z < 4/5, RGBColor[0, z*5/4, 1],
   If[z <= 13/15,
    RGBColor[0, 1, 1 - (z - 4/5)*15],
    If[z <= 14/15, RGBColor[(z - 13/15)*15, 1, 0],
     RGBColor[1, 1 - (z - 14/15)*15, 0]]]];

DensityPlot[2.5 Sin[x*y] - 1.5, {x, 0, 2*Pi}, {y, 0, 2*Pi},
PlotLegends -> True, ColorFunction -> cc, PlotPoints -> 100]
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