Howdy
The J frame was originally designed as a 32 caliber revolver. A J frame cylinder will hold six 32 caliber rounds. But it is too small for six 38 caliber rounds. So when chambered for 38 it can only hold five rounds. The model 36, Chief's Special is a classic 5 shot J frame 38. The J frame actually came first, about four years before the K frame.
The K frame was developed as a 38 caliber revolver. The cylinder is just the right size for six 38 caliber chambers. These days Smith calls the K frame their 'medium' sized frame, but since 1899 it has been the standard size for a six shot S&W 38 caliber revolver.
A couple of K frame Smiths. A Military and Police at the top, a Model 10 at the bottom. Basically the same gun, but in 1957 S&W went over to model numbers rather than names, so the M&P became the Model 10.
The N frame was developed in 1908 for the 44 Special cartridge, not the 44 Magnum. The 44 Mag did not appear until 1955. Here is the first N frame gun, the 44 Hand Ejector First Model, popularly known as the Triple Lock.
The N frame was also used in 1917 for the Model 1917, chambered for 45 ACP.
In 1955 when the 44 Magnum cartridge was developed, the 44 Magnum revolver, later known as the Model 29, was built on the N frame.
The N frame was also used for the early 357 Magnum revolvers in 1935 because a K sized cylinder could not take the pressure of the 357 Magnum round. So the larger N sized cylinder was used with 357 magnum chambers, leaving more metal surrounding the chambers than would have been possible with a K frame.
Here is a Model 28, built on the N frame. It is a direct decendent of the original 357 Mag revolvers, also built on the N frame.
By the 1960s metalurgy had advanced enough that it was possible to build a 357 Magnum revolver on the K frame. The first K frame 357 Mag was the Modlel 19.
Here is a photo comparing the cylinders of a K frame 357 Magnum and an N frame 357 Magnum. The revolver on the left is my K frame Model 19, the revolver on the right is my N frame Model 27. You can see how much more meat there is around the chambers in the N frame revolver.
I'll do some measurements for you if you like, comparing a J frame cylinder do a Number Two 38 S&W Top Break cylinder. I'll see if I can take some photos too.