How to combine the discrete bands of x-values to a continous plot?

I require a pcolor plot showing x-values in non-linear scale. These are discrete bands with increasing values. I would like to club all the discrete bands shown in the figure and make a continous structure.

In the figure, the Y-scale is continous and have a repeated gap between the numbers, while the x-scale does not have a regular gap between the numbers. If we take a regular gap, most of the plot will be white space. How to avoid this white space and make a continous plot?

Any suggestions will be greatly appriciated.

[KSSV]

Share your data...seems like pcolor should work for you.

[MP]

Thank you for your reply. Please chcek attached data.

X-axis, X.mat. (time series data)

Y-axis, Y.mat.

Colorbar, C.mat.

Answer 1

[KSSV]

load('X.mat') ;
load('Y.mat') ;
load('C.mat') ;

X = T_mag3 ;
Y = E3(1,:)' ;
Z = FESA3 ; 
pcolor(X,Y,Z)
shading interp 

[MP]

That is the problem. It does not take the desired strip.

It interpolates the in-between gap. I just want desired band. The time gap on x-axis must be clipped.

I value your time and efforts.

[KSSV]

How about this?

h = pcolor(X,Y,Z)
h.EdgeColor = 'none';

[MP]

Oh sorry. That did not make a lot difference.

Actually, if you observed X-values, you can see that there is a narrow band from

3.57 to 3.61 (index: 1-14)

Then there a gap, then again a narrow band from

4.20 to 4.25 (index: 15-29)

Then there a gap, then again a narrow band from

12.63 to 12.70 (index: 31-54)

and so on,... This is how I want to stack distinct bands side-by-side but in a continous mode without (white/colored) gap.