customized color map with floating point range for colors in matlab

Question

I've defined a customized colormap and then use it's colorbar as you can see in the figure. The min and max of caxis is set to be 0 and 16, but the problem is that I want to have floating points in color bar, for example

[ 0 : 0.3 )=dark blue, [ 0.3 : 0.6 )=blue, [0.6 : 0.9)=green and so on and not just integers, but I can not. please notice "[" and ")" which are important for me.

please help.

P.S: the gradient effect is not important for me.

here is the code

caxis([0 16]);
map = zeros(16 , 3);
map(1:1,:) = [0, 0 ,143]./255;
map(2:2,:) = [0, 0 ,239]./255;
map(3:3,:) = [0, 175 ,255]./255;
map(4:4,:) = [16, 255 ,239]./255;
map(5:5,:) = [112, 255 ,143]./255;
map(6:10,:) = [207, 255 ,48 ; 207, 255 ,48;207, 255 ,48;207, 255 ,48;207, 255 ,48]./255;
map(11:12,:) = [255, 207 ,0 ; 255, 207 ,0 ]./255;
map(13:16,:) = [255, 16 ,0 ; 255, 16 ,0;255, 16 ,0;255, 16 ,0]./255;
colormap(map);
set(get(colorbar('peer',gca),'ylabel'),'String','BGA PC(RFU)');

here is the figure :

Answer 1

I've found my answer...the solution is here..I wanted to have a color bar between 0 and 16, with step 0.3 between 0 and 2 and step 0.5 between 2 and 16..sample is here:

[0 0.3 0.6 0.9...1.8 2.3 2.8...15.8]

so for this I've defined matrix range as shown below:

range1 = (0:0.3:2);
range2 = (2.3 : 0.5 : 16); 
range = [range1,range2]';

size of matrix range is (35 , 1) so there are 35 points and I should assign 35 colors to these points by defining map = zeros(35 ,3 ) . number 3 in map is for RGB. after that I've assigned colors to the map points as below (here is just two of them as an example)

map(1,:) = [2, 2 ,51]./255;
map(2,:) = [3, 3 ,88]./255;

and here is the complete code for this:

contourf(points,depths,FRU01102013);
set(gca, 'XTick', points(1) : points(3), 'XTickLabel',{'LSB1','LSB2-1_BLOOM','LSB2'});
ylabel('Depth(m)');
xlabel('Points');
title('Date: 03.10.2013');
caxis([0 15.8]);
%------------------------
map = zeros(35 , 3);
map(1,:) = [2, 2 ,51]./255;
map(2,:) = [3, 3 ,88]./255;
.
.
.
map(35,:) = [82,3,3]./255;

colormap(map);

%----

range1 = (0:0.3:2);
range2 = (2.3 : 0.5 : 16);
range = [range1,range2]';

cbh = colorbar('peer',gca);
set(cbh,'ytick',range);
set(get(cbh, 'ylabel') ,'String','BGA PC(RFU)'); 

here is the figure:

I know assigning 35 colors is difficult and maybe stupid but I am not familiar with matlab ...at least it works.