Diffraction gratings and angular separation

[Grubstank]

Hello everyone,

I came across the following when I was reviewing diffraction gratings:
"The condition for maximum intensity is the same as that for a double slit. However, angular separation of the maxima is generally much greater because the slit spacing is so small for a diffraction grating." (http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/gratcal.html)

I can't think of a reason for why this would be the case, unless I am completely misinterpreting what has been stated. I searched in my textbook for a more satisfying explanation but it does not even mention this particularity about diffraction gratings. Online sources have given short answers similar to hyperphysics' explanation.

Any help is greatly appreciated!

 

[jerromyjon]

I think it is just stating that the maximum intensity of a particular wavelength would be the same angle from the slit in either case but in the diffraction grating the maximum intensity is more spread out (angular separation).