Color from contourf and colorbar doesn't match

I am using ‘contourf ’to create a filled 2-D contour plot, and using the ‘caxis‘ to control the max and min colorvalue. And then I used the ‘colorbar’ to create a colorbar. But the colorbar and the color on the figure doesn't match. If I change

cp=jet(4);%colormap

colormap(cp);

to

cp=jet(5);%colormap

colormap(cp);

The colorbar will be totally messed up.

Here is the code. Please help.

**************

clc;
clear

cf2=[0.8163    0.8425    0.8595    0.8581    0.7743    0.6571    0.8534    0.8522;0.7918    0.8053    0.8033    0.7986    0.7934    0.7889    0.7724    0.7874;0.7771    0.7909    0.7969    0.8502    0.8137    0.7955    0.6184    0.6209];

figure;
nn=0.6;
[c,h]=contour(cf2,[nn:0.1:1]);  
contourf(cf2,[nn:0.1:1]);
clabel(c);
caxis([nn,1]);

cp=jet(4);
colormap(cp);

h1=colorbar;
set(h1,'Ylim',[nn,1]);
set(h1,'YTick',nn:0.1:1);
set(h1,'YTickLabel',nn:0.1:1);

Answer 1

[Sam G.]

Well, this may not be a very satisfying solution but if you change

nn=0.6

to

nn=0.60000001

the colorbar will then match the contour plot. Changing

caxis([nn,1])

to

caxis([nn,0.9999999])

also seems to work.